ctor 39*c**4 - 26*c**3 - 15*c**4 + 294*c - 14*c**2 - 12*c**4 + 4*c**3 - 14*c**4.
-2*c*(c - 3)*(c + 7)**2
Let l(v) be the third derivative of 0 + 0*v**3 + 1/3*v**4 - 1/15*v**5 - 1/30*v**6 + 0*v + v**2. What is h in l(h) = 0?
-2, 0, 1
Let q(w) be the first derivative of 5*w**3/3 + 55*w**2 + 605*w - 15. What is a in q(a) = 0?
-11
Let v(p) be the second derivative of p**6/18 + 5*p**5/3 + 295*p**4/18 + 50*p**3 + 135*p**2/2 + p + 100. Factor v(f).
5*(f + 1)**2*(f + 9)**2/3
Let g(w) be the second derivative of 0*w**4 + 0 - 3*w**2 - 3*w - 1/15*w**5 + 0*w**3 + 1/60*w**6. Let t(a) be the first derivative of g(a). Factor t(j).
2*j**2*(j - 2)
Let m(s) be the first derivative of -10*s**2 + 1/3*s**3 + 12 + 100*s. Factor m(c).
(c - 10)**2
Let l(z) = 2*z**2 + 54*z - 723. Let y(g) = -3*g**2 - 54*g + 721. Let o(j) = 4*l(j) + 3*y(j). Factor o(t).
-(t - 27)**2
Let f be ((12/(-5))/(-2))/((-3)/(-10)). Suppose c = 6 - f. Solve -3/7*a**3 + 3/7*a + 0*a**c + 0 = 0.
-1, 0, 1
Suppose 0 = -h - 1 + 5. Let s be (4 - (h + 1))*(1 + -1). Factor s + 2/3*b**2 + 0*b - 1/3*b**3.
-b**2*(b - 2)/3
Suppose -3*g + 8*g = -s + 22, 4*s + 8 = 4*g. Suppose s*v - 4*y = 12, -2*v = v + 2*y + 6. Factor 0 - 1/5*l**3 + 2/5*l**2 + v*l.
-l**2*(l - 2)/5
Let t(r) be the third derivative of r**5/420 - 3*r**4/28 + 27*r**3/14 - 209*r**2. Solve t(k) = 0 for k.
9
Let f(y) be the second derivative of y**6/15 - 2*y**5/5 + 16*y**3/3 - 16*y**2 - 177*y. Suppose f(w) = 0. Calculate w.
-2, 2
Determine d so that -3*d + 4*d**2 - 44*d + 96 - 53*d = 0.
1, 24
Let t(s) be the second derivative of s**7/70 - 23*s**6/50 + 429*s**5/100 - 121*s**4/20 - 3*s + 26. Suppose t(u) = 0. Calculate u.
0, 1, 11
Let n = 1 + 1. What is l in 22*l**2 - 300*l - 2*l**n + 272*l + 8 = 0?
2/5, 1
What is h in 4/3*h**3 + 20/3*h**2 + 8/3*h - 32/3 = 0?
-4, -2, 1
Let s(i) be the second derivative of i**6/120 + 7*i**5/20 + 109*i**4/24 + 65*i**3/6 - 507*i**2/8 - 14*i + 3. Factor s(d).
(d - 1)*(d + 3)*(d + 13)**2/4
Let x(k) be the second derivative of -k**4/3 - 316*k**3/3 - 12482*k**2 - 343*k. Factor x(y).
-4*(y + 79)**2
Let h(k) = -4*k**2 - 18*k - 36. Let u(z) = 5*z**2 + 19*z + 38. Let f(i) = 3*h(i) + 2*u(i). Factor f(c).
-2*(c + 4)**2
Let z(m) be the first derivative of 6/7*m**2 + 3/7*m - 5/7*m**3 - 7. Factor z(v).
-3*(v - 1)*(5*v + 1)/7
Let w(f) be the third derivative of 0*f**3 + 1/180*f**5 + 1/360*f**6 + 10*f**2 + 0 - 1/36*f**4 + 0*f. Factor w(t).
t*(t - 1)*(t + 2)/3
Let j be (-1 + 0 + 4)/((-3)/96). Let k be (1/(-8))/(36/j). Factor -1/3*y + 0*y**2 + k*y**3 + 0.
y*(y - 1)*(y + 1)/3
Let q(z) = 3*z + 5 - 4*z + 0*z. Let b be q(0). Factor -11*o**4 + b*o**4 + 7*o**4 - o**2.
o**2*(o - 1)*(o + 1)
Let k(f) = f**2 - 37*f - 162. Let x be k(-4). Find y such that 2*y - 4/3 - 2/3*y**x = 0.
1, 2
Let d = -42 - -48. Let p be (54/84)/(1 + (-3)/d). Factor p + 6/7*o - 3/7*o**2.
-3*(o - 3)*(o + 1)/7
Let k be ((-3)/4 - 106076/(-144)) + -1. Let r = 736 - k. Let -r*s + 4/3*s**2 + 2/9 = 0. Calculate s.
1/3, 1/2
Let h be (4 - 3)/(((-168)/40)/(-7)). Let 0 + 5/6*y**3 + 0*y**2 + 0*y + 5/6*y**5 + h*y**4 = 0. What is y?
-1, 0
Let n(y) = y**3 + 30*y**2 + 211*y - 208. Let a be n(-15). Solve 8/5*m - 12/5*m**a + 4/5*m**3 + 0 = 0.
0, 1, 2
Suppose 0 = -4*w - 18 - 2. Let b(m) = -m**2 - 4*m + 11. Let i be b(w). Determine n, given that -i*n**4 + 12*n**4 - 3*n**4 = 0.
0
Let w(f) be the third derivative of f**8/84 + 2*f**7/15 + 3*f**6/5 + 22*f**5/15 + 13*f**4/6 + 2*f**3 - 9*f**2 + 2*f. Find d, given that w(d) = 0.
-3, -1
Let o(l) = 2*l**2 - 5*l - 4. Let q(h) be the second derivative of h**3/6 + 26*h. Let z(x) = -2*o(x) - 6*q(x). Solve z(f) = 0.
-1, 2
Let o(u) be the third derivative of -u**5/60 + 11*u**4/12 - 20*u**3/3 + 175*u**2. Factor o(v).
-(v - 20)*(v - 2)
Let n = 3/82 - -99/656. Let a(v) be the first derivative of 1/4*v**3 - n*v**4 + 2 + 0*v + 0*v**2. Solve a(i) = 0 for i.
0, 1
Suppose -2/9*j**2 - 82/9 - 28/3*j = 0. Calculate j.
-41, -1
Suppose p + 2 - 5 = 0. Suppose p*b + b - 16 = 0. Determine a, given that -6*a**4 + 15*a - 6 + b*a**5 + 7*a**5 - 30*a**3 + 5*a**2 + 4*a**5 + 7*a**2 = 0.
-1, 2/5, 1
Factor -13/4*s - 1/4*s**3 + 2*s**2 + 3/2.
-(s - 6)*(s - 1)**2/4
Let a(v) = -208*v**2 - 104*v - 12. Let p(j) = -209*j**2 - 107*j - 13. Let b(t) = 5*a(t) - 4*p(t). Factor b(m).
-4*(3*m + 1)*(17*m + 2)
Let g = 179 + -177. Let t(n) be the second derivative of 0 + 4*n + 4/9*n**3 + 2/9*n**4 + 1/3*n**g. Determine m, given that t(m) = 0.
-1/2
Let s be 39/3 - (3 + (1 - 3)). Let w = -10 + s. Solve 2/3*q**w - 4*q + 6 = 0 for q.
3
Let u(f) be the second derivative of 21*f - f**5 + 2/21*f**7 - 2/3*f**6 + 0 + 80/3*f**3 + 32*f**2 + 25/3*f**4. Solve u(s) = 0 for s.
-1, 4
Let x(m) be the third derivative of -m**7/10080 - m**6/720 - m**5/160 + m**4/6 - 4*m**2. Let g(k) be the second derivative of x(k). Factor g(h).
-(h + 1)*(h + 3)/4
Let r be 7 + 2/2 - (-2 - -6). Let y(g) be the second derivative of -9*g**2 - 2*g**3 - 1/6*g**r + 4*g + 0. Factor y(i).
-2*(i + 3)**2
Suppose r - 13 = 27. Factor 14 + 35*g**3 + 10 + 95*g - 60*g**3 + 6 + r*g**2.
-5*(g - 3)*(g + 1)*(5*g + 2)
Let m(t) = -150*t**2 - 318*t + 609. Let h(b) = -9*b**2 - 20*b + 38. Let c(w) = 33*h(w) - 2*m(w). Determine d, given that c(d) = 0.
2, 6
Suppose -363*g - 644 = -2096. Suppose -f**3 + 1/2*f**g + 0*f**2 + 0 + 0*f = 0. Calculate f.
0, 2
Let c be ((-150)/28 - -5)*(-1)/15. Let w(o) be the second derivative of 1/6*o**4 - 1/2*o**2 - 1/30*o**6 + 1/6*o**3 - o - 1/10*o**5 + 0 + c*o**7. Factor w(h).
(h - 1)**3*(h + 1)**2
Let t = -58426/105 + 3910/7. Suppose -38/15*j**3 - t*j + 8/15 + 10/3*j**2 + 14/15*j**4 - 2/15*j**5 = 0. What is j?
1, 2
Factor 6*n**2 + 1/3*n**3 + 0 + 0*n.
n**2*(n + 18)/3
Let h(o) = o**2 + 6*o + 14. Let a(q) = -4*q**2 - 20*q - 44. Let f(z) = -6*a(z) - 20*h(z). Factor f(s).
4*(s - 2)*(s + 2)
Let h(m) be the second derivative of m**7/231 + m**6/33 + 7*m**5/110 + m**4/22 + 33*m - 2. Factor h(y).
2*y**2*(y + 1)**2*(y + 3)/11
Let a = -6879 - -6881. Solve -4/3*j**4 - 16/3 - 16*j - 52/3*j**a - 8*j**3 = 0 for j.
-2, -1
Let x(h) = -3*h**3 + 18*h**2 - 27*h + 8. Let k(o) = -3*o**3 + 18*o**2 - 27*o + 7. Let y(n) = 4*k(n) - 5*x(n). Factor y(t).
3*(t - 4)*(t - 1)**2
Let c(j) be the third derivative of -j**7/210 + 229*j**6/720 - 949*j**5/120 + 1183*j**4/16 + 10985*j**3/36 - 364*j**2. Factor c(a).
-(a - 13)**3*(6*a + 5)/6
Let p(x) = -4*x**2 - 8. Let s(q) = q**2 + q + 2. Let c(r) = -p(r) - 3*s(r). Solve c(l) = 0 for l.
1, 2
Let z = 138104/21 - 6574. Factor z + 2/21*y**2 + 20/21*y.
2*(y + 5)**2/21
Let l = 20335 - 101381/5. Factor 70*r**2 + l*r**3 + 138/5*r + 18/5.
2*(3*r + 1)*(7*r + 3)**2/5
Suppose 2983*f = 2980*f. Let u(p) be the second derivative of 3*p + 0*p**2 + f + 3/10*p**5 + 0*p**3 + 1/3*p**4. Suppose u(w) = 0. What is w?
-2/3, 0
Let w(u) be the second derivative of 0 - 5/12*u**4 + 5*u**3 + 20*u + 0*u**2. What is s in w(s) = 0?
0, 6
Let u(v) = v**2 + v. Let f = -74 + 225. Let o(h) = -143*h**2 + 2*h + 4*h - 2*h + f*h**2. Let k(j) = 2*o(j) - 14*u(j). Factor k(x).
2*x*(x - 3)
Let z be 3/108 - 36/(-432). Let x(w) be the second derivative of z*w**4 + 8/9*w**3 + 2*w**2 + 11*w + 0. Factor x(s).
4*(s + 1)*(s + 3)/3
Suppose 70 = -5*x + 105. Let j(k) be the first derivative of -2*k**2 + 0*k + x - 2/3*k**3. Factor j(r).
-2*r*(r + 2)
Let w(p) = -28*p**2 - 797*p + 25384. Let t(v) = -5*v**2 - 133*v + 4231. Let j(l) = -34*t(l) + 6*w(l). Factor j(s).
2*(s - 65)**2
Let j(x) be the second derivative of 13*x - 1/21*x**3 - 1/42*x**4 + 0*x**2 + 0. Factor j(t).
-2*t*(t + 1)/7
Let c(u) = 3*u**4 + 12*u**3 - 18*u**2 - 66*u - 66. Let t(x) = -x**2 - x - 1. Let n(l) = -c(l) + 18*t(l). Factor n(v).
-3*(v - 2)*(v + 2)**3
Let h be 12/(-2) - (3 + 3680/(-408)). Let x(c) be the first derivative of 0*c**4 - 1/17*c**2 + 4/85*c**5 - 4/51*c**3 + 4 + h*c**6 + 0*c. Factor x(w).
2*w*(w - 1)*(w + 1)**3/17
Let s = 16073/52026 + -5/4002. Factor 2/13*y**4 + 8/13*y + 8/13 - 6/13*y**2 - s*y**3.
2*(y - 2)**2*(y + 1)**2/13
Suppose 3*r + 64 = 196. Let u be (8/r + 0)*1. Determine m, given that u*m**3 + 4/11*m**2 + 2/11*m + 0 = 0.
-1, 0
Let t(a) = -a**3 + 14*a**2 - 12*a - 12. Let z be ((-52)/(-12))/((-4)/(-12)). Let h be t(z). What is c in -2*c**4 - 1 - 2*c**2 + h + 4*c**4 + 2*c - 2*c**3 = 0?
-1, 0, 1
Let a(t) be the third derivative of t**8/840 - t**7/525 - 4*t**6/75 - 2*t**5/15 - 14*t**2 + 