d y such that 144/11 - 2/11*y**3 - 120/11*y + 28/11*y**2 = 0.
2, 6
Let 4/5*b + 6/5*b**2 - 2/5*b**4 + 0*b**3 + 0 = 0. What is b?
-1, 0, 2
Let v(o) = o**5 + o**3 - o + 1. Let k(y) = -6*y**5 + 16*y**4 + 10*y**3 - 8*y**2 - 6*y + 6. Let b(x) = k(x) - 6*v(x). Solve b(z) = 0 for z.
-2/3, 0, 1
Factor -80/3 + 20/3*k**2 + 132*k.
4*(k + 20)*(5*k - 1)/3
Let q be (3 - 4) + (-3)/(9/(-24)). Let x(c) be the third derivative of -3/28*c**q + 0*c**4 + 13*c**2 + 0*c + 0 + 11/80*c**6 - 1/20*c**5 + 0*c**3. Factor x(j).
-3*j**2*(3*j - 1)*(5*j - 2)/2
Let a(t) be the third derivative of 11*t**6/300 - 26*t**5/75 + 71*t**4/60 - 2*t**3 - 11*t**2 - 42*t. Factor a(g).
2*(g - 1)**2*(11*g - 30)/5
Let o be 408/336 + (-32)/(-14) + -2. Solve -o*z + 1/4*z**2 + 9/4 = 0.
3
Let i(l) be the third derivative of -l**8/2240 + l**6/80 - l**5/20 + l**4/4 - 8*l**2. Let c(f) be the second derivative of i(f). Factor c(o).
-3*(o - 1)**2*(o + 2)
Let u = -587 + 597. Let o(c) be the first derivative of -7/22*c**4 + 0*c + 4/11*c**2 + 8/11*c**3 - u. Factor o(p).
-2*p*(p - 2)*(7*p + 2)/11
Let n(a) = -4*a**4 - 40*a**3 - 73*a**2 - 42*a + 5. Let d(c) = 9*c**4 + 99*c**3 + 183*c**2 + 105*c - 12. Let z(h) = 5*d(h) + 12*n(h). Find x such that z(x) = 0.
-1, 0, 7
Let n = -247 - -159. Let v be n/33*(63/(-60) - 0). Suppose -4/5 + 18/5*i - v*i**2 = 0. Calculate i.
2/7, 1
Suppose 4*i + 481 = 129. Let j = 90 + i. Suppose -1/3*g**j + g + 0 = 0. Calculate g.
0, 3
Let y(o) be the third derivative of o**8/1008 + o**7/630 - 7*o**6/360 - o**5/180 + o**4/12 + 59*o**2 - o. Determine j, given that y(j) = 0.
-3, -1, 0, 1, 2
Let k(b) = -7*b**3 - 8*b**2 - 2*b - 3. Let i(c) = c**4 + c**3 - c**2 - 2*c - 3. Let z(t) = 2*i(t) - 2*k(t). Let z(m) = 0. What is m?
-7, -1, 0
Let j(f) = 7*f - 119. Let z be j(18). Let p(g) be the third derivative of 0*g + 0*g**4 + 0 + 1/40*g**6 - 1/70*g**z + 0*g**3 + 0*g**5 + 3*g**2. Factor p(y).
-3*y**3*(y - 1)
Determine m so that 1/3*m**2 + 2*m - 2*m**3 + 0 - 1/3*m**4 = 0.
-6, -1, 0, 1
Let b(h) be the first derivative of -22*h**3/3 - 67*h**2/2 + 82*h + 9. Let a(z) = 15*z**2 + 45*z - 55. Let w(p) = 7*a(p) + 5*b(p). Find d, given that w(d) = 0.
-5, 1
Suppose 11*z = 54*z - 172. Let d(m) be the second derivative of 0 - 1/48*m**z - 1/24*m**3 + 11*m + 0*m**2. Suppose d(c) = 0. What is c?
-1, 0
Determine u so that 3/5*u**2 + 33/5*u + 21/5 - 9/5*u**3 = 0.
-1, 7/3
Let b(k) be the second derivative of -k**4/24 + 7*k**3/12 - 3*k**2 + 140*k. Suppose b(u) = 0. What is u?
3, 4
Let j(t) = -t**4 + 70*t**3 - 66*t**2 - 3. Let u(b) = -b**4 + 138*b**3 - 132*b**2 - 5. Let h(s) = -5*j(s) + 3*u(s). Factor h(f).
2*f**2*(f - 1)*(f + 33)
Let s(p) be the third derivative of 0 - 7/660*p**6 - 5/132*p**4 + 3/110*p**5 + 0*p + 2/1155*p**7 - 7*p**2 + 1/33*p**3. Factor s(v).
2*(v - 1)**3*(2*v - 1)/11
Factor 46 + 1/2*y**2 + 93/2*y.
(y + 1)*(y + 92)/2
Factor -448/3*j**3 + 6272*j**2 - 351232/3*j + 4/3*j**4 + 2458624/3.
4*(j - 28)**4/3
Let b(q) be the second derivative of -q**5/170 - 11*q**4/51 - 53*q**3/51 + 76*q**2/17 + 47*q. Factor b(l).
-2*(l - 1)*(l + 4)*(l + 19)/17
Suppose -4*l + j + 93 = l, -l + 4*j + 30 = 0. Let h(o) = o**2 - 20*o + 38. Let c be h(l). Factor 1/2*n**c + 0 + 1/2*n.
n*(n + 1)/2
Suppose 0 = -4*m - 2*x + 20, -2*x + 22 = 4*m + x. Suppose 5*u**m - 15*u + u**4 + 15*u**3 + 0 - 7 + 1 = 0. What is u?
-2, -1, -1/2, 1
Suppose 283*o - 277*o = 36. Let f(k) be the third derivative of 0*k**3 + 0 + 1/15*k**o - 6*k**2 - 1/6*k**5 + 1/12*k**4 + 0*k. Factor f(b).
2*b*(b - 1)*(4*b - 1)
Let b(g) = 10*g + 22. Let k be b(-2). Let j(a) be the second derivative of -3/100*a**5 + 1/4*a**4 - 3*a + 0 + 9/10*a**k - 7/10*a**3. Factor j(l).
-3*(l - 3)*(l - 1)**2/5
Let k(x) = -54*x**5 + 140*x**4 - 134*x**3 + 52*x**2 - 4*x. Let c(g) = -55*g**5 + 140*g**4 - 133*g**3 + 51*g**2 - 3*g. Let a(n) = -4*c(n) + 5*k(n). Factor a(p).
-2*p*(p - 1)**2*(5*p - 2)**2
Suppose -439 + 424 = -5*q. Factor 5/6*o - 5/6*o**q + 0 + 0*o**2.
-5*o*(o - 1)*(o + 1)/6
Let h be ((-6)/10)/(2/(-10)). Determine a, given that -a**3 - h*a**3 + 16*a**2 - 16*a**2 = 0.
0
Let z be 0 - -3 - (549/(-135) - -7). Let r(l) be the first derivative of -8/25*l**5 + 3/10*l**4 + z*l**6 + 3 + 8/15*l**3 + 0*l - 4/5*l**2. Solve r(u) = 0.
-1, 0, 1, 2
Let m(t) be the third derivative of 1/840*t**6 - 1/168*t**4 + 0*t - 1/98*t**7 + 0 + 17/420*t**5 + 7*t**2 - 1/21*t**3. Let m(s) = 0. Calculate s.
-1, -1/3, 2/5, 1
Factor 4/13*b**2 + 0*b**3 + 2/13*b**5 + 0 - 2/13*b - 4/13*b**4.
2*b*(b - 1)**3*(b + 1)/13
Factor -5*o + 40*o - 4*o**2 + 156 + o**2 + 76*o + 78.
-3*(o - 39)*(o + 2)
Let z be (13 + 2)/(-5)*-1. Factor -z*y**2 - 48 + 44*y + 3*y**2 + 4*y**2.
4*(y - 1)*(y + 12)
Suppose -3*c = 3*c - 30. Suppose 148*d**4 + d + 4*d - 138*d**4 - 6*d**2 - 4*d**2 - c*d**5 = 0. What is d?
-1, 0, 1
Let o = 141/17 - 970/119. Let m(l) be the first derivative of -2/35*l**5 - 2/7*l**2 + 2/7*l + 0*l**3 + 3 + o*l**4. Factor m(q).
-2*(q - 1)**3*(q + 1)/7
Let b = 55 + -35. Let i be (46/132 - 8/44)*b. Factor -5/3*j - i*j**3 + 1/3 + 5/3*j**4 - 1/3*j**5 + 10/3*j**2.
-(j - 1)**5/3
Let g be 880/(-1980) + 49/90. Let n(h) be the first derivative of -2/5*h**3 - 10 + 2/25*h**5 + 4/5*h + 1/5*h**2 - g*h**4. Factor n(y).
2*(y - 2)*(y - 1)*(y + 1)**2/5
Factor -3*c**2 + 0 + 19/6*c - 1/6*c**3.
-c*(c - 1)*(c + 19)/6
Factor -47*l**3 + 95*l**3 - 2*l**4 + 4*l**2 - 51*l**3 + l**4.
-l**2*(l - 1)*(l + 4)
Let k(u) = -4*u**2 - 8*u - 12. Let a(b) be the third derivative of -b**4/24 + b**3/6 + 28*b**2. Let m(f) = 4*a(f) + k(f). Find q, given that m(q) = 0.
-2, -1
Let d(n) be the third derivative of n**9/241920 - n**7/5040 - 11*n**5/15 + 37*n**2. Let q(i) be the third derivative of d(i). Suppose q(h) = 0. Calculate h.
-2, 0, 2
Let l be (-3)/(1 + 1/(-2)). Let z(b) = -792 + 5*b**2 - b + 791 - 4*b**2. Let a(c) = -3*c**2 - c. Let h(p) = l*z(p) - 3*a(p). Let h(j) = 0. What is j?
-2, -1
Let r(i) be the third derivative of i**7/210 - i**6/15 + i**5/4 + i**4/6 - 10*i**3/3 - 2*i**2 - 5*i. Suppose r(n) = 0. What is n?
-1, 2, 5
Let j(y) be the third derivative of 4/105*y**7 + 0*y**3 - 1/4*y**4 + 1/168*y**8 + 0 - 2/15*y**5 + 0*y - 18*y**2 + 1/30*y**6. Factor j(r).
2*r*(r - 1)*(r + 1)**2*(r + 3)
Let z(r) be the second derivative of r**6/30 - 21*r**5/10 + 110*r**4/3 + 7*r**3 - 441*r**2/2 - 137*r. Factor z(d).
(d - 21)**2*(d - 1)*(d + 1)
Let x(w) be the first derivative of w**6/4 - w**5/10 - 9*w**4/4 + 5*w**3 - 17*w**2/4 + 3*w/2 - 97. Suppose x(q) = 0. What is q?
-3, 1/3, 1
Suppose -17 = 5*i - 2. Let u be 105/10*(-2)/i. Let -6*g**2 - u*g + 2*g**2 + 5*g - 2*g**3 = 0. What is g?
-1, 0
Let t = 319/8 - 79/2. Suppose t*h**3 + 3/8*h**2 - 3/8*h - 3/8 = 0. What is h?
-1, 1
Let j = -13 + 19. Suppose l + 2*t - 19 = j*t, -5*t - 8 = 4*l. Factor 0*z - 3/5*z**2 + 0 + 6/5*z**l - 3/5*z**4.
-3*z**2*(z - 1)**2/5
Let v(u) be the third derivative of u**5/60 - u**4/4 + 3*u**3/2 - 114*u**2. Factor v(h).
(h - 3)**2
Let u(s) = 2*s**2 + 56*s + 64. Let f be u(-27). Let n be 6/(-4)*(f - 830/75). Find c, given that 2*c + 4/5 + 4/5*c**2 - n*c**4 - 2/5*c**5 - 8/5*c**3 = 0.
-2, -1, 1
Let j(d) be the first derivative of -d**3/3 - d**2/2 - 62. Factor j(g).
-g*(g + 1)
Let h = -13 + 17. Suppose 3*o - 14 + 6 = -4*i, o + h*i = 0. Let -2*b**2 + o*b**2 + 2*b - 1 - 4*b - 3 = 0. Calculate b.
-1, 2
Let g(f) be the first derivative of 2*f**6/3 - 8*f**5/5 - 8*f**4 + 24*f**3 - 18*f**2 - 18. Solve g(j) = 0.
-3, 0, 1, 3
Let v(w) be the second derivative of -w**7/350 + w**5/50 - w**3/10 + 11*w**2 + 25*w. Let u(f) be the first derivative of v(f). Let u(k) = 0. What is k?
-1, 1
Suppose 436/5*p**2 + 144/5 - 32/5*p**3 - 528/5*p - 4*p**4 = 0. Calculate p.
-6, 2/5, 1, 3
Let d(z) be the first derivative of z**8/2240 - z**7/560 + z**5/80 - z**4/32 - 4*z**3 + 3. Let j(w) be the third derivative of d(w). Factor j(y).
3*(y - 1)**3*(y + 1)/4
Let n = -568 - -570. Factor 0 - 1/6*z**n + 0*z.
-z**2/6
Let l(v) be the third derivative of 25*v**2 + 7/24*v**4 + 0*v - 1/20*v**5 + 0 - 1/3*v**3. Factor l(q).
-(q - 2)*(3*q - 1)
Let d(m) be the first derivative of -15/2*m**2 - 9 - 10/3*m - 2*m**5 - 35/6*m**4 - 5/18*m**6 - 80/9*m**3. Factor d(q).
-5*(q + 1)**4*(q + 2)/3
Let j(t) be the first derivative of -3*t**4/28 - 3*t**3/7 + 9*t**2/7 + 24*t/7 + 246. Factor j(m).
-3*(m - 2)*(m + 1)*(m + 4)/7
Let w(u) be the third derivative of -u**8/1176 - 2