1)**2*(p + 2)/2
Let s(r) = r**2 + 73*r + 828. Let w be s(-59). Find l, given that -1/3*l**4 + 1/3*l**3 - 1/3*l + 0 + 1/3*l**w = 0.
-1, 0, 1
What is o in -20*o**3 + 75 + 25*o + 20*o**4 - 5*o**5 - 13*o**2 + 3*o**2 - 85 = 0?
-1, 1, 2
Let s be 9/42*1*(-28)/(-24). Let i(b) be the second derivative of -3/20*b**5 + 0*b**2 + 1/10*b**6 + 5*b + 0 + 1/2*b**3 - s*b**4. Determine f so that i(f) = 0.
-1, 0, 1
Let w be (24/10)/((-33)/(-15) - 2). Determine y, given that 2*y + 2*y**2 - w*y**3 - 2*y**4 - 6*y + 10*y**2 + 6*y**4 = 0.
0, 1
Let c(o) be the first derivative of 0*o**2 + 4*o**3 - 4/5*o**5 + 29 + 2*o**4 + 0*o. Let c(m) = 0. Calculate m.
-1, 0, 3
Let i = -24 + 82. Suppose i*k = 53*k. Solve 0*v + 1/4*v**4 + 1/2*v**2 - 3/4*v**3 + k = 0.
0, 1, 2
Suppose 2*w - 12 = -0*w. Determine m, given that -w*m**4 + 8*m + 3*m**4 + 3*m**4 - 2*m**4 - 24 + 18*m**2 = 0.
-2, 1, 3
Let k(g) be the third derivative of g**7/1365 - 7*g**6/156 + 107*g**5/130 - 17*g**4/12 - 578*g**3/39 - 38*g**2 - 5. Find p such that k(p) = 0.
-1, 2, 17
Let o(y) be the first derivative of -55*y**3/3 - 115*y**2/2 - 60*y + 30. Factor o(q).
-5*(q + 1)*(11*q + 12)
Suppose h - 38 = -6*x + x, 4*x - 43 = -5*h. Suppose 0 = -x*v - v + 112. Factor v*k + 0*k + 9*k**2 - 9 + 10*k.
3*(k + 3)*(3*k - 1)
Let q = -17812/107 - 64/321. Let y = q + 168. Factor 0*j**2 - 2/3*j**4 + y*j**3 - 4/3*j + 2/3.
-2*(j - 1)**3*(j + 1)/3
Let j = 1790 - 1790. Let d(h) be the first derivative of 3 + 0*h - 1/15*h**6 + 0*h**5 + j*h**2 + 3/10*h**4 + 4/15*h**3. Determine m so that d(m) = 0.
-1, 0, 2
Suppose 0 = 258*s - 325*s. Let -1/5*g + 1/2*g**2 + 3/10*g**3 + s = 0. Calculate g.
-2, 0, 1/3
Let h be -1 - ((-48)/(-4))/(-3). Factor -492*m**4 + 3*m**3 - h*m**2 - 18*m**3 - 9*m**5 + 471*m**4.
-3*m**2*(m + 1)**2*(3*m + 1)
Let r = -1053 - -1053. Let s(z) be the first derivative of z**4 + r*z + 0*z**2 + 6 + 1/3*z**3. Find d, given that s(d) = 0.
-1/4, 0
Let k be 50/4 + (-3)/(-6). Let f(p) = p**3 - 13*p**2 - p + 15. Let h be f(k). Determine v so that -4*v**3 - 6*v**4 + 2*v**2 + h*v**4 + 4*v**5 + 2*v**2 = 0.
-1, 0, 1
Find b such that -2/3 + 4/3*b**2 + 0*b**3 + 0*b - 2/3*b**4 = 0.
-1, 1
Let h(g) be the third derivative of -1/84*g**8 + 0*g**5 + 12*g**2 + 0*g + 0*g**4 + 0*g**6 + 0 + 0*g**3 - 4/105*g**7. Factor h(v).
-4*v**4*(v + 2)
Let i(m) be the first derivative of m**4/4 + 4*m**3 + 11*m**2/2 + 6*m - 4. Let k be i(-11). Factor -14*v + 1 - v**2 + k*v**3 - 4*v**3 + 12*v.
(v - 1)*(v + 1)*(2*v - 1)
Let b be (2/5)/((-217)/56 - -4). Factor b*f**2 + 36/5*f + 8/5.
4*(f + 2)*(4*f + 1)/5
Solve 33/5*p - 3/5*p**2 - 84/5 = 0 for p.
4, 7
Let f(q) be the second derivative of q**5/5 - 29*q**4 - 118*q**3 - 178*q**2 + 2*q - 150. Factor f(y).
4*(y - 89)*(y + 1)**2
Let u(z) be the third derivative of -z**7/105 - z**6/20 - z**5/10 - z**4/12 + 26*z**2. Find o such that u(o) = 0.
-1, 0
Let x(i) be the first derivative of -4/3*i**3 + 0*i**4 - i**2 + 1/3*i**6 + 0*i + 4/5*i**5 - 7. Factor x(s).
2*s*(s - 1)*(s + 1)**3
Let d(s) be the first derivative of 5*s**7/42 - s**6/3 - 3*s**5/4 + 5*s**4/3 + 10*s**3/3 - 7*s + 8. Let p(c) be the first derivative of d(c). Factor p(l).
5*l*(l - 2)**2*(l + 1)**2
Factor 1/6*q**5 + 2/3*q**2 + 2/3*q - 1/2*q**3 - 1/3*q**4 + 0.
q*(q - 2)**2*(q + 1)**2/6
Suppose 0 = -2*k - 2*k - 20. Let g be (-6)/(6/k) - 2. Factor 0*q + g*q**2 + 3 - 7*q + q + 0*q.
3*(q - 1)**2
Let b(r) = 10 + 10 + 2 + 4*r**2 - r**3 + r - 24. Let h be b(4). Find d such that 10/3*d**h - 2/3 - 2/3*d - 2*d**3 = 0.
-1/3, 1
Let p = 2363 + -18901/8. Factor 0 - p*a**3 - 1/8*a**5 + 3/8*a**4 + 1/8*a**2 + 0*a.
-a**2*(a - 1)**3/8
Let q(s) be the first derivative of s**4/18 + 46*s**3/9 + 529*s**2/3 + 24334*s/9 + 59. Factor q(t).
2*(t + 23)**3/9
Let i(y) be the third derivative of -y**8/840 + 2*y**7/525 - y**6/300 - 165*y**2. Factor i(p).
-2*p**3*(p - 1)**2/5
Let j be (-6)/(-2) - -3*2/(-6). Find h such that 4533 + 20*h - 1533 + h**3 + j*h**3 + 90*h**2 + 880*h = 0.
-10
Determine c, given that 243/2*c - 24*c**5 - 195/2*c**3 - 252*c**4 + 15 + 237*c**2 = 0.
-10, -1, -1/4, 1
Let d be (0 - -2)/((-51)/34) - (-8)/6. Factor -1/4*n**3 + d - 1/8*n**2 + 1/8*n**4 + 1/4*n.
n*(n - 2)*(n - 1)*(n + 1)/8
Let o(z) be the second derivative of z**8/6720 - z**7/1260 + z**6/720 + 3*z**4 - 9*z. Let x(m) be the third derivative of o(m). Suppose x(w) = 0. What is w?
0, 1
Factor -44/5*a + 8 + 4/5*a**2.
4*(a - 10)*(a - 1)/5
Let b(r) = -12*r + 67. Let q be b(5). Let z(f) be the second derivative of 0*f**2 + 0*f**3 + 1/60*f**6 - 1/80*f**5 + 0*f**4 - 1/168*f**7 + 0 - q*f. Factor z(t).
-t**3*(t - 1)**2/4
Let i be (273/135 - 2)*(-5)/(-12). Let q(j) be the third derivative of 0*j**3 + 6*j**2 - 1/270*j**5 + 0 + 0*j + i*j**4. Let q(h) = 0. Calculate h.
0, 1
Let u(d) = -d**4 + 25*d**3 - 5*d**2 - 61*d - 36. Let j(y) = -4*y**4 + 78*y**3 - 16*y**2 - 184*y - 107. Let m(h) = 2*j(h) - 7*u(h). Factor m(i).
-(i - 2)*(i + 1)**2*(i + 19)
Let i be 387/54*(5 + -1). Let w = i + -940/33. Let -40/11*u - 14/11*u**3 - 36/11*u**2 - w*u**4 - 16/11 = 0. Calculate u.
-2, -1
Let p(n) be the third derivative of 5/21*n**7 + 0 + 0*n**3 - 1/2*n**6 + 1/2*n**5 - 5/24*n**4 + 31*n**2 - 5/112*n**8 + 0*n. Factor p(c).
-5*c*(c - 1)**3*(3*c - 1)
Let l be -12 + 469/21 + -9. What is q in -1/3*q**2 - 4/3 - l*q = 0?
-2
Let a(h) be the first derivative of 8*h**2 - h**2 - 30 + 68*h**3 - 10*h + 6*h - 70*h**3. Factor a(c).
-2*(c - 2)*(3*c - 1)
Let v(s) = s**2 + s - 1. Let q(d) be the second derivative of -5*d**4/12 - 2*d**3/3 + 3*d**2/2 + 2*d. Let f(z) = -5*q(z) - 30*v(z). Solve f(p) = 0.
-3, 1
Let y(k) be the second derivative of 1/30*k**4 - 15*k + 0 - 1/30*k**3 + 1/100*k**5 - 1/5*k**2. Factor y(j).
(j - 1)*(j + 1)*(j + 2)/5
Let g(q) = -21*q**3 + 201*q**2 - 1218*q + 723. Let v(k) = -38*k**3 + 403*k**2 - 2437*k + 1447. Let n(u) = 5*g(u) - 3*v(u). Factor n(t).
3*(t - 11)**2*(3*t - 2)
Let b(j) be the first derivative of j**4/20 + 3*j**3/10 + 3*j**2/5 - 6*j - 5. Let m(w) be the first derivative of b(w). Determine q so that m(q) = 0.
-2, -1
Let k(i) be the third derivative of -i**8/1008 + i**7/210 + i**6/120 - 7*i**5/180 - i**4/12 + 244*i**2. Solve k(v) = 0.
-1, 0, 2, 3
Let n(i) be the second derivative of -i**6/40 - i**5/10 + i**4/8 + i**3 + 9*i**2/2 - 4*i. Let f(l) be the first derivative of n(l). Let f(u) = 0. What is u?
-2, -1, 1
Let i(s) be the second derivative of -2*s**6/315 + 9*s**5/70 + s**4/6 - 26*s**3/3 - 34*s + 2. Let t(o) be the second derivative of i(o). Factor t(w).
-4*(w - 7)*(4*w + 1)/7
Let i(d) be the second derivative of -d**6/210 - d**5/35 - 5*d**4/84 - d**3/21 - 22*d. Solve i(v) = 0 for v.
-2, -1, 0
Let d(x) = -6*x**3 - 3*x**2 + 6*x - 6. Let i = -20 + 22. Let r(n) = -10 + n**2 + 9 - 2*n**i + n. Let y(u) = d(u) - 6*r(u). Factor y(z).
-3*z**2*(2*z - 1)
Let t be 4/6 - 320/(-60). Factor -v**3 - 2*v**2 + 16*v + t + 10*v - 21*v.
-(v - 2)*(v + 1)*(v + 3)
Let x be (8/(-6) + 0)*234/(-8151)*19. Determine l, given that -10/11*l**2 + 0 - x*l - 2/11*l**3 = 0.
-4, -1, 0
Suppose -10*a - 12*a = -9*a. Let q(t) be the third derivative of -1/9*t**3 + 0*t + a - 1/24*t**4 - 8*t**2 - 1/180*t**5. Find d, given that q(d) = 0.
-2, -1
Let x = -5 - -6. Suppose 1 + 4 = 5*k, -z - x = -4*k. What is u in 2/5 - 4/5*u**z - 2/5*u**2 + 4/5*u = 0?
-1, -1/2, 1
Let b(x) be the first derivative of 0*x + 4/3*x**3 + x**2 - 14 + 1/2*x**4. Factor b(y).
2*y*(y + 1)**2
Let s(u) be the third derivative of -u**7/840 + u**6/96 + 7*u**5/40 + 19*u**4/24 + 5*u**3/3 - 508*u**2. Suppose s(z) = 0. What is z?
-2, -1, 10
Let i(l) = -3*l**5 + 6*l**3 + 4*l. Let c(u) = 3*u**5 - 6*u**3 - 3*u. Let z = 25 + -18. Let v(b) = z*c(b) + 6*i(b). Factor v(s).
3*s*(s - 1)**2*(s + 1)**2
Solve 42 - 4*l**2 - l**2 - 4609*l + 4506*l = 0 for l.
-21, 2/5
Let g(y) be the third derivative of y**8/392 - 11*y**7/735 - 29*y**6/210 - 13*y**5/35 - 41*y**4/84 - y**3/3 + 83*y**2. Determine x, given that g(x) = 0.
-1, -1/3, 7
Let m(y) = -y - 1. Suppose -1 = 4*k + 7. Let l(g) = 6*g**2 + 9*g + 11. Let w(a) = k*l(a) - 22*m(a). Let n(v) = -v**2. Let s(o) = 4*n(o) + w(o). Factor s(h).
-4*h*(4*h - 1)
What is u in -9/2*u - 1/2*u**2 - 9 = 0?
-6, -3
Suppose 676/5*k**5 - 624/5*k**4 - 1884/5*k**3 + 104*k**2 - 288/5 + 816/5*k = 0. Calculate k.
-1, 6/13, 2
Determine n, given that 4*n - 1/4*n**2 + 0 = 0.
0, 16
Let v(k) be the first derivative of k