*5 - 6*w**4 + 3*w**4 - 6*w**3 = 0. Calculate w.
-1, 1
Solve -143*d - 642*d + 260*d - 90*d**3 - 309*d - 544*d**2 - 36 = 0.
-3, -2/45
Factor -2/15*z + 4/15*z**2 + 2/15*z**3 - 4/15.
2*(z - 1)*(z + 1)*(z + 2)/15
Let y(g) be the second derivative of g**5/70 + g**4/14 + 8*g + 5. Find c, given that y(c) = 0.
-3, 0
Let p be 7/((-343)/(-406)) + -4 + -4. Let x(b) be the second derivative of -1/21*b**3 - 4*b + p*b**2 - 1/42*b**4 + 0. Factor x(c).
-2*(c - 1)*(c + 2)/7
Let s = -3345 - -3345. Factor -4/13 + 6/13*j - 2/13*j**3 + s*j**2.
-2*(j - 1)**2*(j + 2)/13
Let f(q) be the second derivative of q**7/147 + q**6/15 + q**5/10 - 23*q**4/42 - 8*q**3/21 + 16*q**2/7 + 6*q - 1. Determine l, given that f(l) = 0.
-4, -1, 1
Factor -32/5*r + 0 + 88/5*r**4 - 192/5*r**3 - 14/5*r**5 + 32*r**2.
-2*r*(r - 2)**3*(7*r - 2)/5
What is h in -2696*h**2 + 116627*h + 118638 + 12056*h**2 + 92194*h - 81057*h + 2*h**4 + 236*h**3 = 0?
-39, -1
Suppose 16/3*i + 6*i**2 + 0 - 6*i**4 - 14/3*i**3 - 2/3*i**5 = 0. Calculate i.
-8, -1, 0, 1
Suppose -22*i - 89 + 155 = 0. Let u(z) be the second derivative of 2*z**i + 1/3*z**6 + 11/5*z**5 + 0*z**2 + 23/6*z**4 + 9*z + 0. Let u(w) = 0. Calculate w.
-3, -1, -2/5, 0
Let i(y) be the third derivative of 5/12*y**4 - 4/3*y**3 + y**2 + 0 - 1/30*y**5 + 0*y. Find v, given that i(v) = 0.
1, 4
Let b(v) be the first derivative of 9*v**6/20 + 3*v**5/5 + v**4/3 + 13*v**3/3 + 4. Let h(n) be the third derivative of b(n). Factor h(i).
2*(9*i + 2)**2
Let c(b) be the first derivative of -b**5 + 65*b**4 - 245*b**3 - 10*b**2 + 980*b - 173. Factor c(a).
-5*(a - 49)*(a - 2)**2*(a + 1)
Let b(d) be the first derivative of -3/2*d - 1/12*d**3 - 10 + 5/8*d**2. What is j in b(j) = 0?
2, 3
Suppose 4 = 4*o - 8. Let n(p) = -6*p**2 + 12*p - 6. Let f(l) = -l**3 - 5*l**2 + 13*l - 7. Let s(g) = o*f(g) - 4*n(g). Factor s(x).
-3*(x - 1)**3
Let s be (-2 - -3)/(4/12). Let l(x) be the second derivative of 0 - 3*x**2 - 1/4*x**4 - 3/2*x**s - 6*x. Determine b, given that l(b) = 0.
-2, -1
Let j(g) be the first derivative of g**4/28 + g**3/7 - 9*g**2/14 + 5*g/7 - 12. Solve j(h) = 0 for h.
-5, 1
Suppose -7*k = -3*k - 4. Let y(o) = o**2 + o - 2. Let g(c) = c. Suppose -4*h - 3 = -5*m, 2*m + 6 = 4. Let b(x) = h*g(x) + k*y(x). Solve b(f) = 0 for f.
-1, 2
Solve -g**3 - 1/6*g**4 - 7/6*g**2 + g + 4/3 = 0.
-4, -2, -1, 1
Let n(u) be the second derivative of u**7/21 + 4*u**6/15 + u**5/5 - 2*u**4/3 - u**3 + 211*u. Factor n(v).
2*v*(v - 1)*(v + 1)**2*(v + 3)
Let s(h) = h**2 + 11*h. Let z(m) = 4*m + 9 - 3*m - 20 + 17. Let u be z(6). Let a(j) = -3*j**2 - 27*j. Let f(k) = u*s(k) + 5*a(k). Factor f(n).
-3*n*(n + 1)
Solve -136*k + 101*k**2 - 18*k + 44*k**2 + 260 - 5*k**3 - 246*k = 0 for k.
1, 2, 26
Let j(h) be the third derivative of -h**6/72 - 5*h**5/4 - 375*h**4/8 - 1875*h**3/2 - 2*h**2 - 259. Solve j(p) = 0 for p.
-15
Let a = -4 - 13. Let g = a + 22. Factor 5*n**2 - 7 - 16*n - 6 + 5*n**2 + g.
2*(n - 2)*(5*n + 2)
Let r(p) = -4*p**3 + 4*p + 3. Suppose -84 = 14*f - 17*f. Let a(i) = -36*i**3 + 36*i + 28. Let v(c) = f*r(c) - 3*a(c). Factor v(o).
-4*o*(o - 1)*(o + 1)
Let s(r) be the second derivative of -34*r + r**3 + 0*r**2 + 0 - 1/4*r**4. Find m such that s(m) = 0.
0, 2
Let i(d) be the second derivative of d**4/4 + 11*d**3/2 + 27*d**2 - d - 152. Determine k so that i(k) = 0.
-9, -2
Let l = -32 - -37. Let l*m - 4*m + 2 + m - m - m**2 = 0. Calculate m.
-1, 2
Let k = -135 + 1487/11. Let v = -1/8887 - -888711/97757. Suppose v*s**3 - 16/11*s - k - 10/11*s**2 = 0. What is s?
-1/5, 1/2
Let t = 8746 + -8742. Find d such that -1/9 - 1/9*d**5 + 1/3*d**t + 1/3*d - 2/9*d**2 - 2/9*d**3 = 0.
-1, 1
Let x be -1*(3*33)/(-3). Let d = 11 - 8. Factor -x*o**2 - 2 + d*o + 39*o**2 - 1.
3*(o + 1)*(2*o - 1)
Let n(y) be the third derivative of y**8/84 + 2*y**7/105 - 2*y**6/15 - 4*y**5/15 + 381*y**2 - 2. Factor n(i).
4*i**2*(i - 2)*(i + 1)*(i + 2)
Let s = -41 + 35. Let v(j) = -2 - 2*j + j**3 + j + 3. Let p(a) = -5*a**3 - a**2 + 6*a - 6. Let m(n) = s*v(n) - p(n). Factor m(x).
-x**2*(x - 1)
Factor -4/3*s**2 - 152/3*s - 96.
-4*(s + 2)*(s + 36)/3
Let m(u) = u**3 + 5*u**2 + u + 6. Let p be m(-5). Suppose 2*t**2 - p - 3*t**2 + 7 + 556*t - 555*t = 0. Calculate t.
-2, 3
Let m(g) be the third derivative of -1/36*g**4 + 2/315*g**7 + 0*g**6 + 1/504*g**8 + 0*g - 11*g**2 + 0 + 0*g**3 - 1/45*g**5. Factor m(v).
2*v*(v - 1)*(v + 1)**3/3
Let y = 180 + -1257/7. Suppose 4/7*x**2 - 8/7*x**3 + 0 + 0*x + y*x**4 = 0. Calculate x.
0, 2/3, 2
Let n(k) be the third derivative of 0 - 1/16*k**5 + 0*k**3 + 1/160*k**6 + 1/8*k**4 + 0*k - 42*k**2. Factor n(l).
3*l*(l - 4)*(l - 1)/4
Let j(u) be the second derivative of u**6/10 - 9*u**5/10 + 11*u**4/4 - 3*u**3 + 8*u - 5. Factor j(k).
3*k*(k - 3)*(k - 2)*(k - 1)
Let v be 9/(-27) + 7/3. Factor -5*w**3 - w**v - 2*w**2 - 3*w**4 - 2*w**3 + w**3.
-3*w**2*(w + 1)**2
Suppose -18/5*p**2 - 8 - 56/5*p = 0. What is p?
-2, -10/9
Factor -1256 - 818 - 131 - 210*u + 0*u - 5*u**2 + 0*u**2.
-5*(u + 21)**2
Suppose -33*q + 96 = -21*q. Let d(h) be the first derivative of -1/6*h**4 + 0*h + 4/3*h**2 + q + 0*h**3. Let d(z) = 0. What is z?
-2, 0, 2
Let v(i) be the first derivative of i**5/80 + i**4/48 - 5*i**3/24 + 3*i**2/8 + 8*i + 28. Let o(y) be the first derivative of v(y). Factor o(q).
(q - 1)**2*(q + 3)/4
Find k, given that 36/7 + 74/7*k + 4/7*k**2 = 0.
-18, -1/2
Let w = 3569/8010 + -1/890. Let a(r) be the first derivative of -w*r**3 - 1/2*r**4 + r**2 + 5 + 4/3*r. Factor a(x).
-2*(x - 1)*(x + 1)*(3*x + 2)/3
Let a(u) be the first derivative of -u**4/24 - 41*u**3/18 - 79*u**2/12 - 13*u/2 + 44. Let a(s) = 0. What is s?
-39, -1
Suppose w + y = -1, 3*w + y + 0 = 5. Suppose -w*l + 12 = 3*l. Solve 2/3*p**4 + 10/3*p**l - 8/3*p**3 - 4/3*p + 0 = 0 for p.
0, 1, 2
Let r be (4 - 1) + 6/(-2). Factor r*z**4 + 15*z**4 - 4*z**3 - 11*z**4.
4*z**3*(z - 1)
Let t be (0*(2 - 1)*1)/(-1). What is f in -2*f**2 - 4*f + t*f + f**2 + 2*f**4 - 5*f**2 = 0?
-1, 0, 2
Let j(a) be the second derivative of a**4/3 + 4*a**3 + 18*a**2 - 413*a. Factor j(z).
4*(z + 3)**2
Suppose -29*v = -31*v + 4. Let d(g) = -g**3 + 0*g**2 - g + 0*g + g**2. Let w(p) = -6*p**3 + 17*p**2 + 21*p - 8. Let x(n) = v*w(n) + 18*d(n). Factor x(k).
-2*(k - 2)*(3*k + 2)*(5*k - 2)
Suppose -4*p - 14 = -5*p - 4*x, -3*p + x = -16. Find o, given that 8*o**3 + 0*o**2 - 6*o + o**2 - p*o**2 + 3*o**2 = 0.
-3/4, 0, 1
Let a(w) = 17*w**3 + 226*w**2 + 2625*w + 4398. Let v(d) = -49*d**3 - 677*d**2 - 7875*d - 13196. Let m(u) = 17*a(u) + 6*v(u). Factor m(n).
-5*(n + 2)*(n + 21)**2
Factor -12/7*q + 3/7*q**4 + 27/7*q**3 + 54/7*q**2 - 72/7.
3*(q - 1)*(q + 2)**2*(q + 6)/7
Let p(a) be the first derivative of -4/9*a**3 + 1/6*a**4 - 1/9*a**6 + 0*a**2 + 2 + 4/15*a**5 + 0*a. Solve p(h) = 0 for h.
-1, 0, 1, 2
Factor 0 - 2/23*f**3 + 20/23*f**2 - 50/23*f.
-2*f*(f - 5)**2/23
Let x(k) be the third derivative of -3*k**2 + 0 + 0*k**5 + 2/3*k**3 + 0*k**6 - 1/280*k**7 + 0*k**4 + 0*k. Let j(z) be the first derivative of x(z). Factor j(g).
-3*g**3
Suppose -x + 3 = -2*r + 3*r, 4*x = -r + 12. Let b be ((-5)/20)/((-145)/696). Factor -2/5*t - b*t**2 + 2/5*t**4 + 4/5 + 2/5*t**x.
2*(t - 1)**2*(t + 1)*(t + 2)/5
Let t(b) be the second derivative of b - 5/12*b**4 + 0 - 90*b**2 - 10*b**3. Factor t(g).
-5*(g + 6)**2
Factor -3*k + 18/5*k**2 - 36/5 - 3/5*k**3.
-3*(k - 4)*(k - 3)*(k + 1)/5
Let w = -15/368 - -781/1104. Determine n, given that 0*n + w*n**2 - 2/3 = 0.
-1, 1
Suppose -12/7 - 16/7*a**3 + 12/7*a**2 + 2/7*a**5 + 2*a + 0*a**4 = 0. What is a?
-3, -1, 1, 2
Let t(o) = 3*o**2 + 51*o + 3. Let a be t(-17). Let m(w) be the second derivative of 0 + 1/6*w**4 + w + w**2 + 2/3*w**a. What is z in m(z) = 0?
-1
Let 8/3*g**4 + 2*g**2 + 0 + 5/3*g**5 - 19/3*g**3 + 0*g = 0. Calculate g.
-3, 0, 2/5, 1
Factor 1/2*s - 1/2*s**3 - s**2 + 1.
-(s - 1)*(s + 1)*(s + 2)/2
Let t(x) = x**3 - x**2 + x. Let d(j) = 20*j**3 - 30*j**2 + 50*j - 15. Suppose 2*m + 70 = 20. Let h(v) = m*t(v) + d(v). Factor h(l).
-5*(l - 1)**2*(l + 3)
Let s(v) be the first derivative of -v**6/180 + v**4/36 + 25*v**2/2 - 22. Let d(p) be the second derivative of s(p). Factor d(z).
-2*z*(z - 1)*(z + 1)/3
Let z(c) be the third derivative of -3*c**8/560 + 19*c**7/2100 + c**6/25 - 11*c**5/600 - c**4/8 - 2*c**3/15 + 877*c**2. Determine v so that z(v) = 0.
-1, -1/2, -4/9, 1, 2
Let -1/4*i**5 + 3/4*i**2 - 7/4*