q - 56. Let h(o) = -7*o**3 - 9*o**2 + 3*o + 19. Let k(j) = -8*h(j) - 3*y(j). Solve k(u) = 0 for u.
-2, 1
Let f be 7/2 - (-1)/2. Factor f*i - i**2 - 3*i - 2*i.
-i*(i + 1)
Suppose 8/9*a - 8/9 - 2/9*a**2 = 0. What is a?
2
Suppose f - 3*m = -4*m + 5, -m + 14 = 4*f. Let o = -97 - -99. Factor -4*a**2 + a**2 + 4*a - 5*a + 1 + o*a**2 + a**f.
(a - 1)**2*(a + 1)
Let k = 202/985 - 1/197. Factor 0*a + 0 + 0*a**2 + 1/5*a**3 - 2/5*a**4 + k*a**5.
a**3*(a - 1)**2/5
Suppose 5*g - 9 = h, 1 = 4*g + 5*h - 12. Determine i so that 0 + 2/5*i**3 + 4/5*i**g + 2/5*i = 0.
-1, 0
Factor 60*t**2 - 3*t**5 + 12*t - 17*t - 8*t + 21*t**4 - 11*t - 54*t**3.
-3*t*(t - 2)**3*(t - 1)
Determine o so that 0*o**5 + 25*o**2 + 7*o**4 + o**5 + 4 + 3*o - 19*o**3 - 2*o**5 - 19*o = 0.
1, 2
Let w(x) be the first derivative of -6 + 0*x - 2/3*x**3 + 16/15*x**5 - 1/3*x**2 + x**4. Let w(f) = 0. Calculate f.
-1, -1/4, 0, 1/2
Let v be 7 + -1 + -9 + 9 + -2. Factor 1/5*i**v + 0*i + 1/5*i**2 + 0 + 2/5*i**3.
i**2*(i + 1)**2/5
Factor 9 + 12*o**3 - 21*o + 6*o - 195*o**2 + 183*o**2.
3*(o + 1)*(2*o - 3)*(2*o - 1)
Let q be 3*2*-1*69/(-552). Determine g, given that -q*g**3 + 1/2*g**2 + 0*g + 0 - 1/2*g**4 = 0.
-2, 0, 1/2
Let c = -34112/19 + 1796. Let y = c - -9/76. Suppose -1/2*z**2 + 5/4*z**4 - y*z**3 + 0*z + 0 = 0. What is z?
-2/5, 0, 1
Let j = -431/3 - -146. Factor 0 + 0*l - j*l**3 + 2/3*l**2.
-l**2*(7*l - 2)/3
Let q = 0 - -2. Factor -2*r + q*r**2 + 2*r**3 + 2*r.
2*r**2*(r + 1)
Let t(g) = -g**3 - 6*g**2 - g - 1. Let n be t(-6). Suppose 8*b**3 - b - b**3 - 4*b - 4*b**2 - 3*b**n + 4*b**4 + b = 0. Calculate b.
-1, -2/3, 0, 1, 2
Factor -6/11*x + 2/11*x**2 + 4/11.
2*(x - 2)*(x - 1)/11
Let q(z) = 2*z**2 - 14*z. Let y be q(7). Factor -2/3*t**3 + 2/3*t + 2/3*t**2 - 2/3*t**4 + y.
-2*t*(t - 1)*(t + 1)**2/3
Let n(z) = z**3 - z**2 + 2*z. Let b = 7 - 11. Let t(o) = 6*o**3 - 6*o**2 + 15*o. Let y(f) = b*t(f) + 27*n(f). Find h such that y(h) = 0.
-1, 0, 2
Let l(c) be the first derivative of 2/15*c**3 + 0*c - 7 + 1/5*c**2 - 1/5*c**4. Factor l(t).
-2*t*(t - 1)*(2*t + 1)/5
Let o(q) = -q**3 + 8*q**2 + 8*q - 61. Let k be o(8). Factor 2*d**k + 3/2*d**2 - 2*d + 1/2*d**4 - 2.
(d - 1)*(d + 1)*(d + 2)**2/2
Let t = 0 + 4. Factor 2*r**4 + 2*r**5 - 4*r**t + 2*r**2 + 0*r**2 - 2*r**3.
2*r**2*(r - 1)**2*(r + 1)
Factor -4*a**2 + 0*a**2 + 4*a**2 - 2*a**3 + 6*a**2 + 2*a - 6.
-2*(a - 3)*(a - 1)*(a + 1)
Let a(j) be the first derivative of -j**4/16 - j**3/12 + j**2 + 3*j - 9. Let a(q) = 0. Calculate q.
-2, 3
Let s(q) be the second derivative of 3*q**5/35 + 13*q**4/28 + 11*q**3/14 + 3*q**2/7 + 14*q. Factor s(y).
3*(y + 1)*(y + 2)*(4*y + 1)/7
Suppose 12 = -2*t + 40. Let m = t - 12. Find c such that 0 + 0*c - 2/5*c**3 + 1/5*c**m + 1/5*c**4 = 0.
0, 1
Let j(y) = 2*y**3 + 11*y**2 - 11*y + 7. Let r(i) = i**3 + 5*i**2 - 5*i + 3. Let z(u) = 4*j(u) - 9*r(u). Factor z(p).
-(p - 1)*(p + 1)**2
Suppose -2*h - 4 = -4*h. Let t(a) be the first derivative of 0*a**3 - 2 + 0*a - 14/5*a**5 + 0*a**h - a**4. Factor t(r).
-2*r**3*(7*r + 2)
Let m(x) be the first derivative of 5*x**3/9 - 7*x**2/6 + 2*x/3 + 3. Factor m(d).
(d - 1)*(5*d - 2)/3
Let o(t) = t**3 - t**2. Let p(q) = 3*q**3 - 20*q - 8. Let d be (2 - 7 - 3) + 2. Let x = 2 + -3. Let r(n) = d*o(n) + x*p(n). Solve r(i) = 0.
-2/3, 2
Let k be 2/(-6) - 7/(-3). Let u(x) = -x**3 + 3*x**2 + x - 1. Let p be u(3). What is w in -w**2 - k*w**3 + 2*w**2 - p*w + 3*w**2 = 0?
0, 1
Let t(q) = q**2 - q. Let v(z) be the second derivative of z**4/4 - 2*z**2 - 3*z. Let m(k) = -4*t(k) + v(k). Let m(f) = 0. What is f?
2
Let w = 39 - 39. Let x(v) be the second derivative of -2/5*v**2 + w*v**4 - 1/50*v**5 + 1/5*v**3 + 0 - 3*v. Find c such that x(c) = 0.
-2, 1
Let q(i) be the second derivative of 0 + 3*i - 1/4*i**4 + 0*i**2 - i**3. Suppose q(c) = 0. Calculate c.
-2, 0
Factor -3 + 3*x + 12*x**2 - 7*x - 13*x**2.
-(x + 1)*(x + 3)
Factor a - 7*a**2 + 3*a**2 + 4*a**4 + 2*a**5 + a + 4*a - 8*a**3.
2*a*(a - 1)**2*(a + 1)*(a + 3)
Let n(c) be the second derivative of -5*c**5/4 + 15*c**4/4 - 4*c**3 + 2*c**2 - 5*c - 1. Factor n(i).
-(i - 1)*(5*i - 2)**2
Let q(x) be the third derivative of 5*x**8/2016 + x**7/252 - x**6/72 - x**5/36 + 5*x**4/144 + 5*x**3/36 + 7*x**2. Find m, given that q(m) = 0.
-1, 1
Let w be 6*(24/(-9))/(-2). Determine f, given that -2*f**4 - w*f**3 - 3*f - 2*f - 10*f**2 + f = 0.
-2, -1, 0
Let s = 635 + -2537/4. Factor s - 1/4*f**2 + 1/2*f.
-(f - 3)*(f + 1)/4
Let a = 119 - 237/2. Suppose a + 1/4*i**2 - 3/4*i = 0. Calculate i.
1, 2
Let g(m) be the first derivative of 5*m**6/6 - 2*m**5 - 15*m**4/4 + 40*m**3/3 - 10*m**2 - 54. Factor g(t).
5*t*(t - 2)*(t - 1)**2*(t + 2)
Suppose 0 = 158*x - 159*x. What is b in 0 - 1/2*b**3 + 1/2*b**2 + x*b = 0?
0, 1
Let q(j) = -12*j**4 - 22*j**3 - 24*j**2 - 14*j + 8. Let o(u) = 15*u**3 + 10*u**4 + 4 - 2*u**4 + 16*u**2 + 9*u - 9. Let s(c) = -8*o(c) - 5*q(c). Factor s(z).
-2*z*(z + 1)**2*(2*z + 1)
Let w(k) be the first derivative of k**6/3 - 8*k**5/5 + k**4/2 + 20*k**3/3 - 4*k**2 - 16*k + 1. Factor w(l).
2*(l - 2)**3*(l + 1)**2
Suppose j + 12 = 16. Let p(d) be the third derivative of d**2 + 1/27*d**3 - 1/540*d**6 + 1/108*d**j - 1/270*d**5 + 0*d + 0. Factor p(w).
-2*(w - 1)*(w + 1)**2/9
Suppose 4*y = y. Let a(p) be the second derivative of -2*p + y*p**2 + 0 - 1/36*p**4 + 0*p**3 - 1/60*p**5. Factor a(v).
-v**2*(v + 1)/3
Let v(l) be the first derivative of 0*l**4 + 0*l + 3 + 0*l**2 + 3/5*l**5 - 1/2*l**6 + 0*l**3. Factor v(u).
-3*u**4*(u - 1)
Let u be ((-328)/16 + 3)*4/(-55). Solve -u*i**2 - 10/11*i + 4/11 = 0.
-1, 2/7
Let u be (0 + 3)*6/(-9). Let y be u/6 - (-14)/6. Factor y + o + 3*o + o**2 + o**2.
2*(o + 1)**2
Let r = 8 + -6. Suppose l**4 + 2*l**2 - l**r - 6*l**3 - 4*l**4 - 4*l**2 = 0. What is l?
-1, 0
Let z(p) be the third derivative of -p**6/96 + p**5/12 - 5*p**4/24 - 18*p**2. Factor z(s).
-5*s*(s - 2)**2/4
Suppose 0*h + 9/2*h**4 + 0 + 3/2*h**2 + 9/2*h**3 + 3/2*h**5 = 0. What is h?
-1, 0
Let b(y) = -4*y**3 - 9*y**2 - 45*y - 9. Let p(c) = -c**3 + c**2 + c - 1. Let h(w) = -b(w) + 3*p(w). Let z(v) be the first derivative of h(v). Factor z(a).
3*(a + 4)**2
Let r(a) be the third derivative of -7*a**5/15 + 13*a**4/3 + 16*a**3/3 - 11*a**2. Factor r(y).
-4*(y - 4)*(7*y + 2)
Let p(z) be the second derivative of z**7/189 - 2*z**6/135 + z**4/27 - z**3/27 - 6*z. Factor p(j).
2*j*(j - 1)**3*(j + 1)/9
Let o = 9/13 + -1/39. Factor -o*q + 0 + 1/3*q**2.
q*(q - 2)/3
Let j(f) = 4*f**3 + 12*f**2 - 7. Let o(r) = r**3 + 3*r**2 - 2. Let n(d) = -4*j(d) + 18*o(d). Let n(k) = 0. Calculate k.
-2, 1
Let c(w) = w**2 - 5. Let b(m) = -6*m**2 - m + 31. Let i be (-2)/3*(7 + 2). Let j(x) = i*b(x) - 39*c(x). Suppose j(y) = 0. What is y?
-1, 3
Let s be 1/(-4) + 26/52. Factor 0*p**2 - 3/4*p + 1/2 + s*p**3.
(p - 1)**2*(p + 2)/4
Factor 80*o - 6*o**3 + 26*o**3 + 66*o**2 - 1 + 2*o**4 + 0*o**4 + 33.
2*(o + 1)**2*(o + 4)**2
Let n(v) be the first derivative of -16*v**5/5 - 16*v**4 - 28*v**3 - 22*v**2 - 8*v + 5. Determine w, given that n(w) = 0.
-2, -1, -1/2
Factor -4*x**5 + 4*x**3 + 2*x**2 - 2*x**5 + 8*x**4 + 9*x**5 + 3*x**3.
x**2*(x + 1)**2*(3*x + 2)
Factor 1/3*c + 0*c**3 + 0 + 2/3*c**4 - 1/3*c**5 - 2/3*c**2.
-c*(c - 1)**3*(c + 1)/3
Let q(b) = -b**2 - 2*b. Let x be q(-3). Let j = 5 + x. Factor -1/2 + g**j + 1/2*g.
(g + 1)*(2*g - 1)/2
Let b(f) = 2*f**3 - 15*f**2 + 7*f + 6. Let s be b(7). Factor 6*n**2 - 6*n**2 + 5*n**2 - s*n**2.
-n**2
Let b be (1/27 - 0)/((-55)/(-330)). Factor 6*h**2 - 2*h + b - 6*h**3.
-2*(3*h - 1)**3/9
Let x(k) = -k**2 + 14*k. Let t be x(14). Determine d, given that -2/11*d**2 + t + 2/11*d**3 + 0*d = 0.
0, 1
Determine b so that 4*b**2 - 14*b - 18*b - 29*b + 400 - 19*b = 0.
10
Suppose -5*v - 12*m + 13*m + 9 = 0, 3*v = 5*m + 1. Find o such that 0 + 1/5*o**v + 0*o = 0.
0
Factor 3/5*g**4 - 21/5*g**3 - 51/5*g + 18/5 + 51/5*g**2.
3*(g - 3)*(g - 2)*(g - 1)**2/5
Suppose 24 = -7*d + 38. Suppose -2*j + 2*j**d - 1/2*j**3 + 0 = 0. What is j?
0, 2
Let m be ((81/(-156))/(-27))/(1/8). Factor 4/13*s + 2/13*s**4 + 0 - 4/13*s**3 - m*s**2.
2*s*(s - 2)*(s - 1)*(s + 1)/13
Factor -18/7*x**2 + 2*x - 2/7*x**4 + 10/7*x**3 - 4/7.
-2*(x - 2)*(x - 1)**3/7
Suppose 4*t + 2*l = 22, -3*l + 0*l = -4*t - 3. Let p(q) = q**3 - 3*q**2 + q. Let m be p(t). Find n, given that 0 + 0*n**m + 0*n - 1/2*n**4 + 0*n**2 = 0.
0
Let k be 52/(-39)*(-3)/2. Let l(r) be the fi