 - 71*k - 20. Let x(l) = -39*f(l) - 6*i(l). Find p such that x(p) = 0.
-1, -1/3, 18
Let j(r) be the first derivative of -r**3/9 + r**2/6 + 4*r + 482. Factor j(i).
-(i - 4)*(i + 3)/3
Let n(a) be the second derivative of a**6/15 + a**5/5 - 10*a**4/3 + 8*a**3 + 196*a. Factor n(t).
2*t*(t - 2)**2*(t + 6)
Let h(n) be the second derivative of -n**7/147 + n**6/15 + 27*n**5/70 + 29*n**4/42 + 10*n**3/21 - 92*n + 2. Solve h(i) = 0 for i.
-1, 0, 10
Let u(p) be the third derivative of -1/45*p**6 + 1/45*p**5 - 4/315*p**7 + 0*p + 0 - 1/504*p**8 + 5/36*p**4 - 4*p**2 + 2/9*p**3. Find q, given that u(q) = 0.
-2, -1, 1
Let h(l) = -l**3 + 12*l**2 - 14*l + 3. Let v(s) = s**3 - 22*s**2 + 26*s - 5. Let b(n) = 5*h(n) + 3*v(n). Factor b(x).
-2*x*(x - 1)*(x + 4)
Solve -5*i**3 - 6*i**3 + 0*i**3 - 3*i**3 + 4*i**4 - 5*i**4 - 49*i**2 = 0 for i.
-7, 0
Suppose 7*i + i - 48 = 0. Factor 2 - 4*j**3 - j**4 + 4*j**2 - 5*j**4 + i*j + 0 - 2*j**5.
-2*(j - 1)*(j + 1)**4
Let n(y) = y**2 + 5*y + 9. Let r be n(-6). Let -324*c - 18*c**3 - 25*c**2 + 79*c**2 + r*c**3 + 648 = 0. Calculate c.
6
Let a(p) be the second derivative of -1/63*p**7 + 2/45*p**6 + 0*p**2 - p + 0*p**3 + 0 + 0*p**4 - 1/30*p**5. Let a(d) = 0. Calculate d.
0, 1
Suppose 9 = -3*i + 6. Let y(j) = j**5 - j**3 + j**2 - 1. Let b(r) = -2*r**5 - 3*r**4 - r**3 + r**2 - 1. Let a(m) = i*y(m) + b(m). Factor a(c).
-3*c**4*(c + 1)
Let y(k) = 5*k**3 - 43*k**2 + 105*k - 87. Let p(c) = -15*c**3 + 128*c**2 - 315*c + 262. Let n(v) = -3*p(v) - 8*y(v). Factor n(f).
5*(f - 3)**2*(f - 2)
Let v(a) be the third derivative of a**8/336 - a**7/42 + a**6/20 - a**2 + 2. Factor v(n).
n**3*(n - 3)*(n - 2)
Let c = -31 - -35. Factor 6*l - l + c*l + 18 - 10*l**2 - 15*l - 2*l**3.
-2*(l - 1)*(l + 3)**2
Suppose -426*x - 6 + 416*x - 6 - 2*x**2 = 0. What is x?
-3, -2
Let w(n) be the third derivative of -2*n**7/5 + 59*n**6/120 + n**5/15 - n**4/6 - 301*n**2. Let w(y) = 0. What is y?
-1/4, 0, 2/7, 2/3
Let b(w) = -2*w**2 + 50*w + 126. Let i(y) = 2*y**2 - 52*y - 127. Let n(t) = -5*b(t) - 6*i(t). Let n(u) = 0. Calculate u.
-2, 33
Let w(z) be the first derivative of 0*z**2 + 15 + 1/15*z**3 - 1/20*z**4 + 0*z. Solve w(t) = 0 for t.
0, 1
Determine x, given that 57*x**2 + 58*x**2 - 96*x + 4*x**2 - 19*x**2 - 4 = 0.
-1/25, 1
Let a(n) = -5*n**2 - 125*n + 95. Let r(w) = w**2 + 21*w - 16. Let o(z) = 6*a(z) + 35*r(z). Suppose o(t) = 0. Calculate t.
1, 2
Let t(q) be the third derivative of q**5/360 - 11*q**4/72 + 10*q**3/9 - 242*q**2. Factor t(y).
(y - 20)*(y - 2)/6
Let v(f) be the third derivative of 1/20*f**5 + 0*f**6 + 14*f**2 + 0*f**3 + 0*f + 0*f**4 - 1/70*f**7 + 0. Factor v(b).
-3*b**2*(b - 1)*(b + 1)
What is s in 4*s**2 - s**2 + s**2 - 12*s - 729 - 42*s - 5*s**2 = 0?
-27
Let y(m) be the third derivative of -m**7/420 + 23*m**6/240 - 47*m**5/40 + 77*m**4/48 + 121*m**3/6 - 507*m**2. Factor y(r).
-(r - 11)**2*(r - 2)*(r + 1)/2
Let o(c) be the third derivative of -25*c**7/189 - 20*c**6/27 - 4*c**5/3 - 32*c**4/27 - 16*c**3/27 + 3*c**2 - 7*c. Let o(s) = 0. Calculate s.
-2, -2/5
Let h be 4 + -4 + -1 + 3/(-3). Let b be ((-28)/35)/(h/5). What is c in -3/5*c**3 + 0 + 3/5*c + 3/5*c**4 - 3/5*c**b = 0?
-1, 0, 1
Suppose 32 = 9*o - 5*o. Let 2*i + 26*i**4 - 34*i**4 - 12*i**3 + i - o*i**2 - 5*i - 2*i**5 = 0. What is i?
-1, 0
Let i(k) = -k**2 + 2*k. Let r(w) = -5*w**2 - 3*w + 24. Let y(s) = 6*i(s) - r(s). Let z be y(13). What is p in -2/3*p**z - 8/9*p + 2/9*p**3 + 0 = 0?
-1, 0, 4
Let i(z) = z**2 + 2*z + 2. Let a(l) = 8*l**2 + 70*l - 33. Let f(g) = 2*a(g) - 18*i(g). Let f(w) = 0. What is w?
1, 51
Let f be (-1280)/(-1024) + 6/8. Determine z so that -1/5*z**3 + 1/5*z + 3/5*z**f - 3/5 = 0.
-1, 1, 3
Suppose 0 = 280*q - 281*q + 3*d - 14, -2*q - 3*d = -26. Solve 0 + 0*n + 0*n**2 + 2/11*n**q - 4/11*n**3 = 0 for n.
0, 2
Let x = -52 - -46. Let s be 1*(9/x + 3). Suppose 0 - 3*n**4 + 0*n + 3/2*n**3 + 0*n**2 + s*n**5 = 0. Calculate n.
0, 1
Let p(d) = -4*d**2 - 24*d + 73. Let n(s) = -s**2 - 1. Let x(w) = 5*n(w) - p(w). Let k be x(20). Factor -k*g**3 - 8/3*g + 20/3*g**2 - 16/3.
-2*(g - 2)**2*(3*g + 2)/3
Let z(y) be the second derivative of 0*y**4 + 0 + 11*y + 1/75*y**6 + 0*y**2 - 4/15*y**3 + 3/50*y**5. Factor z(i).
2*i*(i - 1)*(i + 2)**2/5
Let s be (-92)/(-5152)*4*4. Solve -s*y**2 + 8/7*y + 0 = 0 for y.
0, 4
Let l(k) = k**2 - 2*k + 3. Let f be l(0). Factor -3*j**f - 797*j**2 - 2*j + j**5 - 2*j**4 + j**4 + 802*j**2.
j*(j - 1)**3*(j + 2)
Let o(q) be the second derivative of -5/12*q**4 + 0*q**2 - 1/42*q**7 + 12*q + 3/20*q**5 + 1/3*q**3 + 1/30*q**6 + 0. Determine l, given that o(l) = 0.
-2, 0, 1
Let y(b) = b**2 - 8*b + 15. Let i be y(6). Suppose 0*m - 3*m - 5*f + 1 = 0, 0 = m + 2*f. Factor -4*z**i - 1 + 0*z**3 + 1 - 4*z**m - z**4.
-z**2*(z + 2)**2
Let q = -94 + 114. Let w be 0/((-6)/(-3)) + 15/q. Suppose -1/4*b**2 + 5/4*b - 1/4*b**3 - w = 0. Calculate b.
-3, 1
Find h such that 15/7*h + 1/7*h**3 - 9/7*h**2 - 1 = 0.
1, 7
Let l(f) = 15*f**2 - 12*f + 3. Let u(h) be the third derivative of -h**5/60 + h**2. Let t(a) = -l(a) - 6*u(a). Factor t(y).
-3*(y - 1)*(3*y - 1)
Suppose 37*f**2 - 58*f - 12 + 537*f**4 - 459*f**4 + 38*f**3 + 20*f**5 - 103*f**2 = 0. Calculate f.
-3, -1, -1/2, -2/5, 1
Let x be 2204/(-627) - (-3 + -1). Let o = 2/11 + x. Determine r so that 0*r**3 + o*r**5 + 0 + 4/3*r**4 - 4/3*r**2 - 2/3*r = 0.
-1, 0, 1
Factor 2/3*t**2 - 2*t - 20/3.
2*(t - 5)*(t + 2)/3
Let b(d) be the first derivative of -4/3*d**2 - 15 - 2/9*d**3 - 8/3*d. Factor b(f).
-2*(f + 2)**2/3
Let d = 21 + -17. Let g be (-1)/d + (-36)/(-16). Solve -4*m + g*m + 3*m**3 - m = 0 for m.
-1, 0, 1
Let s(h) be the first derivative of 3*h**5/40 - 21*h**4/16 - 3*h**3/8 + 33*h**2/4 - 21*h/2 + 191. Let s(p) = 0. Calculate p.
-2, 1, 14
Let f(h) be the third derivative of 5/8*h**4 - 1/8*h**6 + 4*h**2 + 5/3*h**3 - 1/12*h**5 - 1/42*h**7 + 0 + 0*h. Factor f(t).
-5*(t - 1)*(t + 1)**2*(t + 2)
Solve -14/3*l**5 + 4 - 107/3*l**2 - 68*l**3 - 115/3*l**4 + 8/3*l = 0 for l.
-6, -1, -1/2, 2/7
Let w = 8 - 11. Let l = 1 - w. Let -21*p**3 + 0*p**l + 0*p**4 + 24*p**3 - 3*p**5 = 0. What is p?
-1, 0, 1
Let a(g) be the first derivative of 0*g**2 - 3/20*g**5 + 0*g + 3/4*g**3 - 3/8*g**4 + 14. Find i, given that a(i) = 0.
-3, 0, 1
Let -1/2*h**2 + 0 + 1/2*h + 1/8*h**3 = 0. Calculate h.
0, 2
Let w(j) be the third derivative of -j**8/168 + 3*j**7/35 + 13*j**6/60 - 5*j**5/6 - 4*j**4 - 20*j**3/3 - 984*j**2. Factor w(x).
-2*(x - 10)*(x - 2)*(x + 1)**3
Let x(m) be the second derivative of m**4/36 + 244*m**3/9 + 29768*m**2/3 + 20*m - 2. Factor x(i).
(i + 244)**2/3
Let t(v) be the second derivative of -3*v**7/56 + 7*v**6/10 - 91*v**5/80 - 13*v**4/12 + 25*v**3/6 - 4*v**2 - 69*v. Determine k, given that t(k) = 0.
-1, 2/3, 1, 8
Factor 8/3 - 3800/3*o + 451250/3*o**2.
2*(475*o - 2)**2/3
Suppose 2*g + 987*q - 992*q - 26 = 0, -5*g + 31 = -4*q. Factor -g + 3/4*x**2 + 0*x.
3*(x - 2)*(x + 2)/4
Let p(l) be the third derivative of -l**6/2160 - l**5/720 - 5*l**3/6 + 8*l**2. Let u(w) be the first derivative of p(w). Factor u(v).
-v*(v + 1)/6
Suppose -10/3*x**3 + 14*x**2 - 46/3*x - 2/3*x**4 + 16/3 = 0. Calculate x.
-8, 1
Let t(a) be the third derivative of a**5/120 - a**4/16 + 39*a**2. Factor t(m).
m*(m - 3)/2
Let -9/4 - 1/4*j**2 - 5/2*j = 0. What is j?
-9, -1
Let h = -35717 - -251458/7. Let g = h + -205. Let 0*s + 0 + g*s**2 + 2/7*s**4 - 6/7*s**3 = 0. Calculate s.
0, 1, 2
Let q(d) be the second derivative of -d**4/126 - 292*d**3/63 - 21316*d**2/21 - 1116*d. Factor q(k).
-2*(k + 146)**2/21
Let x(m) be the first derivative of m**6/16 - 27*m**5/20 + 99*m**4/32 - 2*m**3 - 325. Solve x(k) = 0 for k.
0, 1, 16
Let g(k) be the second derivative of k**6/15 - k**5/5 - 2*k**4 + 8*k**3/3 + 32*k**2 - 150*k. Find t such that g(t) = 0.
-2, 2, 4
Let c(k) = 4 + 8*k - 21*k + 9*k + 8*k**2. Let g(z) = 23*z**2 - 13*z + 11. Let d(i) = 11*c(i) - 4*g(i). Factor d(l).
-4*l*(l - 2)
Suppose 0 = -w - 5*z + 7, 0 = 5*w - 3*z - 10 + 3. Suppose 0 = w*v - 7*v + 20. Find b, given that b**3 + v*b**2 + b**3 + b**3 - b**2 = 0.
-1, 0
Let d(r) = 2*r**3 + r**2 + 1. Let s(f) = 4*f**5 - 80*f**4 - 182*f**3 + 79*f**2 + 176*f - 1. Let z(x) = -d(x) - s(x). Find h such that z(h) = 0.
-2, -1, 0, 1, 22
Let w(u) be the second derivative of -u**7/630 - u**6/15 - 6*u**5/5 - 7*u**4/6 - 23*u. Let v(t) be the third derivative of w(t). Factor v(z).
-