f**2 - 3*f + 4. Let y(g) = 0. Calculate g.
-5, 3
Let l(o) be the second derivative of -32*o**6/75 + 1496*o**5/25 + 757*o**4/5 + 1708*o**3/15 + 38*o**2 - 476*o. Find b, given that l(b) = 0.
-1, -1/4, 95
Let v(g) = 2*g**2 - 16*g + 6. Let c be v(8). Suppose -9*o**4 + 16*o - 4*o**3 + 8 + o**4 + 7*o**4 + c*o**2 - o**4 = 0. What is o?
-2, -1, 2
Suppose -24*w + 19*w + c + 3 = 0, 37 = w + 5*c. Let r be -1*(-1 - 4/(-6)). Factor -r + z - z**w + 1/3*z**3.
(z - 1)**3/3
Determine l, given that -3/4*l**5 + 27/4*l**4 + 15/4 + 51/2*l**2 - 39/2*l**3 - 63/4*l = 0.
1, 5
Let g be 2/(-6) - (1 + (-26)/6). Suppose -4*w = g*s, -2*s + 2*w = -3*s. Factor 1/6*f + s - 1/6*f**3 + 1/6*f**2 - 1/6*f**4.
-f*(f - 1)*(f + 1)**2/6
Let x(v) be the first derivative of 2*v**3/9 + 3*v**2 + 12*v + 71. Find u, given that x(u) = 0.
-6, -3
Solve -128/13 + 64/13*s + 22/13*s**4 - 80/13*s**3 - 2/13*s**5 + 88/13*s**2 = 0.
-1, 2, 4
Let g(o) be the first derivative of 0*o + 1/4*o**4 + 0*o**2 + 3 - 1/3*o**3. Factor g(h).
h**2*(h - 1)
Let p(t) be the first derivative of 245*t**4/4 + 140*t**3/3 - 30*t**2 + 77. Factor p(a).
5*a*(7*a - 2)*(7*a + 6)
Let r(z) be the first derivative of -7*z**6/18 + 17*z**5/5 - 119*z**4/12 + 31*z**3/3 - 3*z**2 + 687. Find w, given that r(w) = 0.
0, 2/7, 1, 3
Let j(h) be the second derivative of h**4/4 + 82*h**3 + 10086*h**2 + 222*h. Factor j(r).
3*(r + 82)**2
Let o(t) = 2*t**2 - 10*t + 3. Let n be o(5). Suppose -15 = -3*c - n. Find l, given that 6*l**c - 2/9 - 20/9*l**2 - 4*l**3 + 6*l**5 + 14/9*l = 0.
-1, 1/3
Suppose -v = -2*g + 6*g + 10, 2*v + 3*g = 0. Let d(p) = -8*p**2 + 16*p + 3. Let h(n) = 4*n**2 - 8*n - 2. Let k(o) = v*d(o) + 11*h(o). Let k(m) = 0. What is m?
1
Factor 0 + 8/9*p**2 - 7/9*p**3 + 1/9*p**4 + 16/9*p.
p*(p - 4)**2*(p + 1)/9
Let u(r) = r**3 + 1. Let m be u(1). Determine a so that -48 + a**2 + 2*a + a**m + 44 = 0.
-2, 1
Suppose -15*m = -5*m - 20. Let z be (-3)/(-2) + (-3 - -2). Factor 1/2*h**3 - 3/4*h**m + 0 - z*h.
h*(h - 2)*(2*h + 1)/4
Let a(g) be the third derivative of 89/15*g**5 - 2/5*g**7 + 0 + 31/15*g**6 + 0*g - 16/3*g**3 - 1/3*g**4 - 10*g**2. Let a(x) = 0. Calculate x.
-1, -1/3, 2/7, 4
Let b = -2/239 + 245/717. Let q(g) be the second derivative of b*g**4 + 0*g**2 + 0*g**3 - 3*g + 0. Solve q(m) = 0 for m.
0
Let w(p) be the second derivative of -4/3*p**4 - 1/5*p**5 + 22/3*p**3 + 13*p - 12*p**2 + 0. Let w(d) = 0. What is d?
-6, 1
Solve 2*s**2 + 2*s**2 + 27*s - 3*s**3 - 23*s - 2*s**4 + s**5 = 0.
-1, 0, 2
Solve -512/5*d - 2/5*d**2 - 32768/5 = 0 for d.
-128
Let j(i) = -i. Let v(d) = 12*d**2 + 7. Let t(n) = -7*n**2 - 4. Let b(k) = -7*t(k) - 4*v(k). Let x(c) = b(c) - 3*j(c). Factor x(m).
m*(m + 3)
Find l such that 0 + 2/5*l**2 + 8*l = 0.
-20, 0
Let y = -846 - -846. Let s(r) be the second derivative of -1/2*r**4 + 1/10*r**5 + r**3 - 2*r + y - r**2. Factor s(h).
2*(h - 1)**3
Let s = -125 - -125. Let z(u) be the first derivative of 1/14*u**4 + 0*u + 3 - 2/21*u**3 + s*u**2. Factor z(y).
2*y**2*(y - 1)/7
Let c(d) be the second derivative of d**6/30 + 4*d**5/3 + 50*d**4/3 - 3*d**2/2 + 32*d. Let s(z) be the first derivative of c(z). Find q, given that s(q) = 0.
-10, 0
Let k be (40/4)/5 + 3. Let i(j) = -j + 13. Let z be i(10). Suppose q**k - z*q**4 - 3*q**3 + 2*q**5 + 3*q**2 + 0*q**4 = 0. What is q?
-1, 0, 1
Let c be 5 + (-36)/(-24)*8/(-6). Let q(b) be the first derivative of 5 - 8/7*b + 8/7*b**2 - 10/21*b**c + 1/14*b**4. Suppose q(s) = 0. What is s?
1, 2
Let t(s) = 18*s + 869. Let n be t(-48). Let q(f) be the first derivative of n + 0*f - 2/27*f**3 + 1/9*f**2. Factor q(c).
-2*c*(c - 1)/9
Let 0 + 3/4*m**4 - m - 2*m**2 - 1/4*m**3 = 0. Calculate m.
-1, -2/3, 0, 2
Factor 4/7*z**2 + 0 - 4/7*z - 4/7*z**4 + 4/7*z**3.
-4*z*(z - 1)**2*(z + 1)/7
Suppose 178*t**4 + 161 - 161 + 144*t**2 - 56*t**3 - 406*t**4 + 108*t**5 + 32*t = 0. What is t?
-2/3, -2/9, 0, 1, 2
Let i be (-2)/(-5) + (-224)/35. Let a be (-53)/i + (-7)/(-42). What is k in -12*k**2 - 31 + 18 + 16 + a*k = 0?
-1/4, 1
Let q be (4*(-5)/(-2))/2. Suppose -q*d + d + 8 = 0. Find f such that 3*f**2 + 10 + 169*f + 2*f**d - 184*f = 0.
1, 2
Determine o, given that 47*o + 81547*o**2 + 23*o + 5*o**3 - 81582*o**2 - 40 = 0.
1, 2, 4
Let y(g) be the first derivative of -3*g**4/4 + 126*g**3 - 11907*g**2/2 - 301. Solve y(b) = 0 for b.
0, 63
Let z(d) be the first derivative of -21*d**4 - 104*d**3/3 + 58*d**2 - 24*d + 4. Find i such that z(i) = 0.
-2, 1/3, 3/7
Let v = 1 + -8. Let r be 22/(-99)*9/v. Solve 0 + 0*y - 2/7*y**5 + 2/7*y**2 - r*y**4 + 2/7*y**3 = 0 for y.
-1, 0, 1
Let s(g) = -6*g - 17. Let y be s(-4). Suppose -4*a = -15 + y. Suppose -2/3*n**a - 1/3*n - 1/3*n**3 + 0 = 0. What is n?
-1, 0
Suppose 0 = 2*a - 1 - 11. Factor 64*y - y**3 + 32*y**2 - y**3 + a*y**3.
4*y*(y + 4)**2
Let m(c) = -5*c**2 - c + 4. Let t be (-10)/(-8)*(2 - -10). Let f = t - 11. Let w(x) = -6*x**2 - 2*x + 4. Let i(j) = f*m(j) - 3*w(j). Factor i(g).
-2*(g - 2)*(g + 1)
Let w(c) be the second derivative of 5/4*c**4 - 1/4*c**5 - 15/2*c**2 + 0 + 8*c + 5/6*c**3. Determine o so that w(o) = 0.
-1, 1, 3
Let q(l) be the second derivative of -3*l**5/20 + 13*l**4/4 - 6*l**3 + 28*l + 3. Factor q(b).
-3*b*(b - 12)*(b - 1)
Let w(x) be the third derivative of x**5/360 - 13*x**4/24 - 3*x**2 - 34*x. Factor w(g).
g*(g - 78)/6
What is v in 359*v**2 + 3*v**5 + 52*v**4 - 294 + 139*v**2 + 82*v + 28*v - 145*v + 288*v**3 = 0?
-7, -3, -1, 2/3
Let m(c) = -c**3 + 22*c**2 - 56*c - 15. Let z be m(19). Let t(p) be the second derivative of 0 - 1/60*p**5 + 0*p**2 - 1/9*p**z - 1/6*p**3 - 2*p. Factor t(n).
-n*(n + 1)*(n + 3)/3
Let g(j) be the second derivative of 1/8*j**3 + 1/16*j**4 + 11*j - 3/8*j**2 - 3/80*j**5 + 0. Suppose g(h) = 0. What is h?
-1, 1
Let g(b) be the third derivative of -b**5/40 + 2*b**4 - 64*b**3 - b**2 + 8*b. Suppose g(h) = 0. What is h?
16
Suppose -i + q = 2, i = 4*q - 14 - 0. Let s(z) be the third derivative of -1/2*z**4 + 0*z + 2*z**3 + 0 - 8*z**i + 1/20*z**5. Factor s(o).
3*(o - 2)**2
Let g be 1/((-5)/5) + 3. Let u(q) = 3*q**2 - 4*q - 2. Let b be u(g). Factor -5*w - 51*w**2 + 48*w**b - w.
-3*w*(w + 2)
Let j(b) be the second derivative of b**8/26880 + b**7/10080 - 19*b**4/12 - 5*b. Let x(m) be the third derivative of j(m). Factor x(o).
o**2*(o + 1)/4
Let j be (2 - (-3 + 9))*1/(-2). Let f(h) be the first derivative of 19/12*h**4 + 1/6*h**j + 7/15*h**5 - 4 - 2/3*h + 5/3*h**3. Let f(n) = 0. What is n?
-1, 2/7
Let q(a) be the second derivative of 5/12*a**4 + 0 - 5/2*a**3 - 4*a + 5*a**2. Determine m so that q(m) = 0.
1, 2
Let g(b) = b**3 - 2*b**2 - b + 3. Let l be g(3). Let k = 364 - 360. Factor 4*r**3 + 5*r + r**4 - 3*r**k + 2 + 0*r - l*r.
-2*(r - 1)**3*(r + 1)
Let x(v) be the third derivative of -v**5/20 - 143*v**4/4 - 20449*v**3/2 - 616*v**2. Factor x(a).
-3*(a + 143)**2
Let l(k) = -5*k - 32. Let c be l(-7). Factor 22*b + 12*b**3 + 2*b**c + 12*b**2 - 12*b**3 + 12.
2*(b + 1)*(b + 2)*(b + 3)
Let x = 0 + 4. Let g = 987/5 + -178. What is m in g*m**2 + 4/5 + 16/5*m**x - 72/5*m**3 - 36/5*m = 0?
1/4, 2
Suppose -4*u + 82 = 3*r, 0 = -u + 5 - 4. Let o = r - 24. Factor 2/3*w**o - 1/3*w - 2/3*w**4 + 1/3*w**5 + 0 + 0*w**3.
w*(w - 1)**3*(w + 1)/3
Let b(l) be the second derivative of 36*l + 0 + 20/3*l**2 - 5/36*l**4 + 5/9*l**3. Factor b(m).
-5*(m - 4)*(m + 2)/3
Let h(n) be the first derivative of -n**3/6 - 12*n**2 - 288*n - 45. Factor h(r).
-(r + 24)**2/2
Factor 84*o - 340 + 174 + 4*o**2 + 78.
4*(o - 1)*(o + 22)
Let b(y) = -5*y**2 + y - 11. Let q(f) = 8*f**2 - f + 21. Let g(a) = -10*b(a) - 6*q(a). Factor g(n).
2*(n - 4)*(n + 2)
Suppose -c - 4*m + 11 = 0, c + 0*m = 5*m - 7. Let f(l) = 9*l - 54. Let x be f(6). Find y, given that -y**5 + x*y**3 + c*y**3 + 0*y**3 - 6*y**4 + 4*y**5 = 0.
0, 1
Suppose -88*p - 76 = -47*p - 60*p. Suppose -3/7*h**p + 81/7 + 12/7*h**3 + 18/7*h**2 - 108/7*h = 0. What is h?
-3, 1, 3
Suppose -26 = -2*l - 22. What is c in 4 + 192*c + c**l - 2*c**2 + 3*c**3 - 4*c**3 - 188*c = 0?
-2, -1, 2
Let b be ((2 - -6) + -5)/(3/(-4)). Let s be 30/20 + (-2)/b. Factor 14/3*c**3 - 2/3 + 1/3*c**5 + 3*c - s*c**4 - 16/3*c**2.
(c - 2)*(c - 1)**4/3
Let s(z) = 8*z**2 - 60*z + 310. Let q(h) = h**2 + 3*h + 2. Let n(b) = 5*q(b) - s(b). Determine o so that n(o) = 0.
5, 20
Let z(q) = -6*q + 1. Let a be z(2). Let o = 15 + a. What is g in 22/3*g - 8/3*g**3 - 14/3*g**5 + 28/3*g**2 + 4/3 - 3