). Find q, given that w(q) = 0.
-2
Solve 20*s**2 + 4/3*s**3 - 224*s + 1472/3 = 0 for s.
-23, 4
Let w(q) = -8*q**2 - 27*q + 1. Let x(d) = 3*d**2 + 9*d. Let v be (-3 - -1)*(-34)/(-4). Let o(b) = v*x(b) - 6*w(b). Let o(s) = 0. Calculate s.
1, 2
Let b(q) = q**3 - 5*q**2 - 3*q + 15. Let y(h) = h - 1. Let m(u) = -b(u) - 6*y(u). Factor m(f).
-(f - 3)**2*(f + 1)
Let w(n) = 3*n**2 - 2*n + 3. Let z(i) = i**3 + 3. Let d(r) = 5*w(r) - 5*z(r). Determine f so that d(f) = 0.
0, 1, 2
Let d(u) = -287*u**3 + 295*u**2 + 20*u + 7. Let r(f) = -143*f**3 + 148*f**2 + 11*f + 4. Let v(n) = -4*d(n) + 7*r(n). Determine a, given that v(a) = 0.
-1/49, 0, 1
Let x(g) = -g**3 + 10*g**2 - 4*g - 4. Let t be x(10). Let d be (-12)/(-15) - t/20. Let 0*q + 0 - 1/2*q**d - q**2 = 0. Calculate q.
-2, 0
Let q be (0 - (-1)/(-2)) + (-945)/(-42). Let v be q/18 - 3/((-6)/(-2)). Find f such that -v*f**2 - 2/9*f**4 + 0*f + 4/9*f**3 + 0 = 0.
0, 1
Let z = 13 - 10. Let s**z - 13*s**4 + 35*s + 24*s**3 + 18*s**4 + 10 + 45*s**2 = 0. Calculate s.
-2, -1
Let g(z) be the second derivative of -z**6/5 + 15*z**5/4 - 21*z**4 + 18*z**3 + z - 31. Suppose g(i) = 0. Calculate i.
0, 1/2, 6
Let d(q) be the third derivative of 0*q + 0*q**3 + 1/6*q**5 + 0 + 1/40*q**6 - 29*q**2 + 1/8*q**4. Factor d(z).
z*(z + 3)*(3*z + 1)
Suppose 10 = -46*g + 48*g. Let f(m) be the first derivative of 4/5*m**g - 20/3*m**3 + 6*m**2 + 0*m + 6 + m**4. Factor f(u).
4*u*(u - 1)**2*(u + 3)
Let a(m) be the first derivative of -m**6/8 - 3*m**5/5 + 33*m**4/16 - 3*m**3/2 - 560. Factor a(l).
-3*l**2*(l - 1)**2*(l + 6)/4
Let v(j) be the second derivative of 5*j**7/42 - 4*j**6/3 - 5*j**5/2 + 10*j**4/3 + 15*j**3/2 - 496*j. Factor v(a).
5*a*(a - 9)*(a - 1)*(a + 1)**2
Let h = 174 - 161. Suppose 0 = 4*t - 3*t - 4*u - 23, -4*t = 5*u + h. Solve 3/7*a**4 - 3/7*a**2 + 3/7*a**5 - 3/7*a**t + 0*a + 0 = 0 for a.
-1, 0, 1
Let a = -255 + 255. Let v(u) be the second derivative of 9/4*u**4 + a + u**3 - u + 0*u**2 + 21/20*u**5. Factor v(s).
3*s*(s + 1)*(7*s + 2)
Factor 107*y - 18 + 0*y**2 - 88 - 4*y**2 + 3*y**2.
-(y - 106)*(y - 1)
Let d(a) = 2*a - 31. Let u be d(17). Solve -4/9*h**4 - 4/9*h + 4/9*h**2 + 4/9*h**u + 0 = 0.
-1, 0, 1
Suppose 6 = 4*k - 6. Find p, given that p**k + p**3 - p**5 - 16*p**4 + 15*p**4 = 0.
-2, 0, 1
What is d in 0 - 4/3*d**2 - 4/3*d**3 + 4/3*d**5 + 4/3*d**4 + 0*d = 0?
-1, 0, 1
Let k(n) be the second derivative of 3*n**5/80 + 5*n**4/24 + n**3/6 - 39*n**2/2 + 37*n. Let h(q) be the first derivative of k(q). Let h(f) = 0. Calculate f.
-2, -2/9
Let q = -47 - -90. Let x = -41 + q. Factor 2/3*d**3 + 0 + 10/9*d**x - 4/9*d.
2*d*(d + 2)*(3*d - 1)/9
Let l = 1217 - 1213. Let b(t) be the second derivative of 4*t**2 + 0 - 3*t + 2*t**3 + 1/3*t**l. Factor b(u).
4*(u + 1)*(u + 2)
Let s(l) = -2*l + 10. Let u be s(-3). Suppose 2*m = -h - 2*h + u, -5*h = -20. Factor -2/3*j**2 - 4/3 - m*j.
-2*(j + 1)*(j + 2)/3
Let u be (-1 + 4 + (-14 - -11))*1/3. Factor -2/7*i - 4/7*i**3 - 1/7*i**4 - 5/7*i**2 + u.
-i*(i + 1)**2*(i + 2)/7
Factor 12 + 11*z**2 + 0*z**3 + 20*z - 7*z**3 + 8*z**3 - 2*z**2.
(z + 1)*(z + 2)*(z + 6)
Suppose 30 = 3*n - 6. Let q be (n/(-8))/((-3)/4). What is i in 3*i - 149*i**2 + 147*i**q - 5*i = 0?
-1, 0
Let n(m) be the second derivative of 1/2*m**3 + 0 - 3/20*m**5 + 12*m + 1/30*m**6 - 1/12*m**4 + 0*m**2. Determine d, given that n(d) = 0.
-1, 0, 1, 3
Let o(z) be the second derivative of 0*z**4 - 5*z + 0*z**3 + 1/300*z**6 - 1/2*z**2 + 0 + 0*z**5. Let s(n) be the first derivative of o(n). Solve s(i) = 0.
0
Let c(d) be the second derivative of -d**6/30 - d**5/20 + 4*d**4/3 + 2*d**3/3 - 24*d**2 - 534*d. Solve c(f) = 0 for f.
-4, -2, 2, 3
Let u be (0 + 1)*-1*2/2. Let f be (20/35*3/(-6))/u. Factor -4/7*r + 6/7 - f*r**2.
-2*(r - 1)*(r + 3)/7
Factor -207*v**2 - 1/2*v**3 - 42849/2*v + 0.
-v*(v + 207)**2/2
Let x = 96 + -100. Let t be (-5 - -3 - 6)*1/x. Factor 8/3 + 0*j + 2/3*j**3 - t*j**2.
2*(j - 2)**2*(j + 1)/3
Let z = -70 - -73. Factor -15*b**2 - 12 + 5*b**z - 5*b + 48 - 21.
5*(b - 3)*(b - 1)*(b + 1)
Let l(f) = -3*f**3 + 115*f**2 + 79*f - 29. Let x be l(39). Let v(i) be the first derivative of 5 - 5/3*i**3 - x*i - 15/2*i**2. Find m, given that v(m) = 0.
-2, -1
Suppose 0 = 15*v - 21 - 24. Let r(f) be the first derivative of f**3 - 3/5*f**5 - v + 0*f + 0*f**2 + 0*f**4. Let r(m) = 0. Calculate m.
-1, 0, 1
Let v(p) be the second derivative of -p**6/10 + 21*p**5/20 - 3*p**4 - 2*p**3 + 24*p**2 + 2*p - 73. Factor v(b).
-3*(b - 4)*(b - 2)**2*(b + 1)
Let k(n) be the third derivative of n**7/105 - n**5/15 + n**3/3 + 138*n**2. Suppose k(z) = 0. Calculate z.
-1, 1
Let x be ((-18)/12*(-1)/6)/(187/935). Let -5/4*o**2 + 1/2 - 5/4*o + x*o**3 + 3/4*o**4 = 0. What is o?
-2, -1, 1/3, 1
Let l(k) = -9*k**2 + 9*k - 39. Let a = -14 + 21. Let v(c) = -8*c**2 + 10*c - 38. Let w(u) = a*v(u) - 6*l(u). Determine d so that w(d) = 0.
4
Let z(n) = -147*n**3 - 4191*n**2 + 4305*n - 66. Let l(q) = -9*q**3 - 262*q**2 + 269*q - 4. Let t(p) = 33*l(p) - 2*z(p). Suppose t(j) = 0. What is j?
-89, 0, 1
Let t(i) be the first derivative of -i**4/16 + i**3/6 - i**2/8 + 86. Factor t(j).
-j*(j - 1)**2/4
Let i(d) be the third derivative of d**6/900 + d**5/100 + 11*d**3/6 + 6*d**2. Let t(b) be the first derivative of i(b). Factor t(p).
2*p*(p + 3)/5
Let r(q) = -q**3 + 6*q**2 + 10*q - 17. Let c be r(7). Factor 2*d**3 - 10*d**2 - 10 + 18*d**3 + 5*d**4 + 17*d**c + 5*d**5 - 2*d**4 - 25*d.
5*(d - 1)*(d + 1)**3*(d + 2)
Let m(o) be the third derivative of o**7/105 + 11*o**6/60 - 7*o**5/15 - 2*o**4 + 274*o**2. Let m(j) = 0. Calculate j.
-12, -1, 0, 2
Let i = 32 + -44. Let s be (i/195)/((-32)/(-20) - 2). Factor 2/13*h**2 + s - 4/13*h.
2*(h - 1)**2/13
Let t(o) = 13*o**2 + 793*o - 77603. Let i(v) = -5*v**2 - 396*v + 38803. Let c(z) = 5*i(z) + 2*t(z). Factor c(q).
(q - 197)**2
Let n(w) be the first derivative of -1/5*w**3 - 1/25*w**5 + 21 + 1/4*w**4 - 1/2*w**2 + 4/5*w. Let n(m) = 0. What is m?
-1, 1, 4
Find h, given that -12/5*h**3 + 14/5*h**4 - 2/5*h**5 + 14/5*h + 6 - 44/5*h**2 = 0.
-1, 1, 3, 5
Factor -1849/3 - 1/3*z**2 + 86/3*z.
-(z - 43)**2/3
Let g be (-2)/(2 - -6)*-2. Let h(z) be the second derivative of 0*z**2 - 3*z + 0 + g*z**3 + 1/8*z**4. Let h(p) = 0. What is p?
-2, 0
Let r(u) = -70*u**2 - 95*u**3 + 36*u**2 + 6*u - 126*u - 111*u**2. Let v(i) = -8*i**3 - 12*i**2 - 10*i. Let k(m) = -3*r(m) + 35*v(m). Solve k(z) = 0.
-2, -1, 0
Suppose 3 + 1/4*w - 1/4*w**2 = 0. What is w?
-3, 4
Let m(w) be the second derivative of -10*w - w**2 + 0 - 1/54*w**4 + 2/9*w**3. Factor m(j).
-2*(j - 3)**2/9
Let n be (-31)/(-10) - (1435/350 + 7/(-2)). Suppose 1/2*a**3 + n*a**2 - 9/2 + 3/2*a = 0. What is a?
-3, 1
Let x(l) be the first derivative of -l + 0*l**2 - 14/15*l**6 + 0*l**3 - 1/3*l**4 - 6 - l**5 - 2/7*l**7. Let c(f) be the first derivative of x(f). Factor c(r).
-4*r**2*(r + 1)**2*(3*r + 1)
Let p(w) be the first derivative of 0*w - 3/5*w**5 + 0*w**2 + 51 + 0*w**4 + 4/3*w**3 + 1/6*w**6. Find y, given that p(y) = 0.
-1, 0, 2
Factor 0 - 3/2*s**3 - 1/2*s**2 + 1/2*s**5 + s + 1/2*s**4.
s*(s - 1)**2*(s + 1)*(s + 2)/2
Let -2/7*c**2 - 18/7 + 20/7*c = 0. Calculate c.
1, 9
Let z(p) = -8*p**2 + 136*p - 110. Let m(n) = 7*n**2 - 131*n + 109. Let d(f) = -6*m(f) - 5*z(f). Let d(y) = 0. What is y?
1, 52
Let n(b) = b**3 - 44*b**2 + 43*b + 4. Let t be n(43). Let i(m) be the second derivative of -1/3*m**3 - 1/2*m**2 + 0 - 1/12*m**t + 8*m. Factor i(w).
-(w + 1)**2
Let v(z) be the third derivative of z**5/100 - z**4/10 + 2*z**3/5 + 3*z**2 - z. Factor v(s).
3*(s - 2)**2/5
Let r(w) be the third derivative of -1 + 1/15*w**5 + 16/3*w**3 + 3/2*w**4 - 2*w**2 + 0*w. Determine a, given that r(a) = 0.
-8, -1
Let v(q) be the third derivative of 20/3*q**3 + 0 + 0*q + 5*q**2 - 5/12*q**4 - 13/12*q**5 - 1/8*q**6. What is w in v(w) = 0?
-4, -1, 2/3
Let l(h) be the second derivative of 0*h**2 + 0*h**3 + 0 - 24*h - 1/3*h**4. Find f, given that l(f) = 0.
0
Factor 64/5 + 2/15*q**2 - 56/15*q.
2*(q - 24)*(q - 4)/15
Let 13933*m - 126 - 4*m**3 - 128*m**2 + 0*m**3 - 13521*m - 154 = 0. Calculate m.
-35, 1, 2
Let v(h) be the third derivative of h**7/42 - h**6 + 12*h**5 - 2*h**2 + 8*h. Factor v(q).
5*q**2*(q - 12)**2
Suppose -12/5*g**2 - 2*g + 0 + 8/5*g**3 + 12/5*g**4 + 2/5*g**5 = 0. What is g?
-5, -1, 0, 1
Let s be ((-460)/48)/(-5) + 5/60. Find b, given that 3/8*b**s + 0*b - 1