4 - 14*p**3/3 + 38. Let g(l) be the third derivative of r(l). Factor g(w).
-(w + 1)*(w + 4)/9
Let c(k) be the second derivative of -5*k**4/14 - 297*k**3/7 - 354*k**2/7 + 2*k - 32. Factor c(p).
-6*(p + 59)*(5*p + 2)/7
Let t(a) be the second derivative of -1/12*a**4 + 2/3*a**3 - 3/2*a**2 + 0 + 28*a. Solve t(d) = 0.
1, 3
Let b be 28/(-21)*((-15)/2 - -3). Find d, given that 25 - 75 + b*d**2 + 17*d - d**2 - 2*d = 0.
-5, 2
Suppose 12 + 51*r - r - 16*r**4 + 3*r**5 + 3*r**5 + 36*r**2 - 18*r**3 + 5*r**3 - 11*r**3 = 0. What is r?
-1, -1/3, 2, 3
Let x(z) = 6*z**3 - z**2 - 2*z - 1. Let q be x(-1). Let u be (-2)/q - 44/(-12). Factor 4*p**4 + 34*p - u*p**3 - 34*p.
4*p**3*(p - 1)
Let s = 430 - 36553/85. Let x = s - -4/17. Factor -4/5*a**2 + 0 + 4/5*a**3 - x*a**4 + 0*a.
-a**2*(a - 2)**2/5
Let c(h) be the second derivative of h**6/15 + 4*h**5/5 + 7*h**4/2 + 6*h**3 + 102*h. Factor c(o).
2*o*(o + 2)*(o + 3)**2
Let z(m) be the third derivative of m**8/560 - 3*m**7/140 + 3*m**6/40 + 11*m**3/3 + 13*m**2. Let n(f) be the first derivative of z(f). Solve n(h) = 0.
0, 3
Factor -1/3*i**2 - 22/3 + 13/3*i.
-(i - 11)*(i - 2)/3
Let s(c) be the third derivative of -c**5/20 - 5*c**4 - 200*c**3 + 57*c**2. Suppose s(i) = 0. Calculate i.
-20
Let w = 69 + -33. Let f be 32/w - (-4)/(-18). Let -f*g**3 - 1/3 + 2/3*g**2 + 1/3*g**5 + 1/3*g - 1/3*g**4 = 0. What is g?
-1, 1
Let o(m) be the third derivative of 2/3*m**3 - 1/6*m**5 + 14*m**2 + 0 + 7/12*m**4 + 0*m - 1/15*m**6. What is z in o(z) = 0?
-2, -1/4, 1
Let a(i) be the second derivative of -i**4/36 + 49*i**3/9 - 2401*i**2/6 + 392*i. Let a(v) = 0. Calculate v.
49
Let k(t) = t**3 + 6*t**2 + 2*t - 5. Let h be k(-5). Suppose 6*f - h = 4*f. Factor -f*x**3 + 2*x**3 - 2*x + x**3 + 4*x**3.
2*x*(x - 1)*(x + 1)
Let d(l) be the third derivative of -l**5/15 + 15*l**4/2 - 88*l**3/3 + 127*l**2. Factor d(q).
-4*(q - 44)*(q - 1)
Factor -d**3 + 0*d**4 + 1/3*d**5 + 0*d + 2/3*d**2 + 0.
d**2*(d - 1)**2*(d + 2)/3
Let d(h) be the first derivative of -30 + 3/28*h**4 + 0*h**3 - 1/35*h**5 + 0*h - 2/7*h**2. Factor d(o).
-o*(o - 2)**2*(o + 1)/7
Let i be (-4)/(-2)*(8 - (-657)/(-90)). Let f(y) be the second derivative of i*y**5 + 40/3*y**3 - 8*y - 16*y**2 + 26/3*y**4 + 0. Let f(o) = 0. Calculate o.
-2, 2/7
Factor 7/2*h - 1/6*h**2 + 0.
-h*(h - 21)/6
Let b(y) be the third derivative of y**7/1260 - y**6/360 - y**5/15 + 170*y**2. Let b(g) = 0. Calculate g.
-4, 0, 6
Let y(z) = -15*z**2 + 24*z - 9. Let i(v) = -7*v**2 + 12*v - 4. Let g(t) = 9*i(t) - 4*y(t). Factor g(d).
-3*d*(d - 4)
Suppose -y = p - 5, -11*y = -16*y + 5*p - 25. What is d in -2/3*d**2 + y*d + 2/9*d**3 + 8/9 = 0?
-1, 2
Let b(c) be the first derivative of c**6/2160 - c**4/36 - 14*c**3/3 + 22. Let j(i) be the third derivative of b(i). Factor j(t).
(t - 2)*(t + 2)/6
Suppose -4*p**5 + 39*p**2 - 28*p**4 - 8*p - 4*p**3 + 0*p + 16*p**5 - 11*p**2 = 0. Calculate p.
-1, 0, 1/3, 1, 2
Let a(l) = -l**2 - 170*l + 698. Let q be a(4). Factor -4/5*v**q - 8/5*v - 4/5.
-4*(v + 1)**2/5
Let b(m) be the first derivative of 13 + m**2 + 0*m + 1/5*m**5 - 7/8*m**4 + 2/3*m**3. Factor b(g).
g*(g - 2)**2*(2*g + 1)/2
Let p = -6169 - -6169. Find b, given that 1/5*b**2 + p*b - 9/5 = 0.
-3, 3
Let k be (-15)/25 + (-73)/(-5). Let p = k + -10. Find d such that d**3 + 2*d - 2*d**4 + 3*d**p - 3*d - d**2 = 0.
-1, 0, 1
Factor 90*q**2 + 0 + 2/15*q**4 + 106/15*q**3 - 486/5*q.
2*q*(q - 1)*(q + 27)**2/15
Let w(b) be the second derivative of 1/15*b**4 - 2/5*b**2 + 0 - 1/2*b**3 + 19*b. Solve w(d) = 0 for d.
-1/4, 4
Suppose -19*b + 22*b + 27 = 0. Let i = b - -13. Factor 8/3 - i*l + 2*l**2 - 1/3*l**3.
-(l - 2)**3/3
Let i(q) be the first derivative of q**6/780 - q**4/156 + 6*q**2 - 4. Let o(t) be the second derivative of i(t). Factor o(p).
2*p*(p - 1)*(p + 1)/13
Determine a so that -9/2 + 9/2*a**2 - 3/4*a**3 + 3/4*a = 0.
-1, 1, 6
Let r be -6*(3/(-6) + 0). Let x be (4/42)/(3 - 8/r). Suppose 5/7*g - 1/7*g**2 + 3/7*g**4 - x - 5/7*g**3 = 0. What is g?
-1, 2/3, 1
Factor -13 + 26*l - 49*l**2 - 6*l + 44*l**2 - 7.
-5*(l - 2)**2
Suppose 52*s - 43*s = 27. Let g(v) be the third derivative of -1/10*v**6 + 0*v - 4/15*v**5 + 2/3*v**4 - 4*v**2 + 0 + 0*v**s. What is q in g(q) = 0?
-2, 0, 2/3
Suppose -2*h - 4 + 4 = 0. Suppose 50*t - 60*t + 20 = h. Suppose -75/4*j**4 - 15/4*j**3 + 12*j**t + 0 - 3*j = 0. What is j?
-1, 0, 2/5
Let f(w) = w**2 + w + 6. Let a be f(0). Let c be 1/a - 1/((-120)/316). Let 8/5 - 2*z**4 + 2/5*z**5 + c*z**3 + 2/5*z**2 - 16/5*z = 0. What is z?
-1, 1, 2
Let c = -106 + 106. Let s(l) be the second derivative of 5*l + 1/150*l**6 - 1/10*l**3 - 1/5*l**2 + 1/60*l**4 + 3/100*l**5 + c. Factor s(f).
(f - 1)*(f + 1)**2*(f + 2)/5
Let w be (78/12 - 6) + 13/(-30). Let d(f) be the third derivative of 8*f**2 - 1/75*f**6 + 0*f + 1/15*f**5 + 0 + 0*f**3 - w*f**4. Factor d(y).
-4*y*(y - 2)*(2*y - 1)/5
Let z(g) be the first derivative of 4/11*g**2 - 7/22*g**4 + 16 + 0*g - 8/11*g**3. What is v in z(v) = 0?
-2, 0, 2/7
Determine x so that -16/5*x + 0 + 2/5*x**2 = 0.
0, 8
Factor -1/12*d**2 - 29/12*d + 5/2.
-(d - 1)*(d + 30)/12
Let s = -113 - -115. Factor 3*o**s - 3*o - 49 + 17*o - 4*o**2.
-(o - 7)**2
Let w(s) be the first derivative of 2*s**5/55 + 3*s**4/11 + 26*s**3/33 + 12*s**2/11 + 8*s/11 - 199. Factor w(d).
2*(d + 1)**2*(d + 2)**2/11
Let p(v) = -v**4 - v**3 + 2*v**2 + v + 1. Let t(b) = 16*b**4 + 6*b**3 - 54*b**2 - 10*b + 6. Let w(a) = -36*p(a) - 2*t(a). Determine h, given that w(h) = 0.
-3, -2, 1
Let o(w) be the second derivative of -11*w**5/210 + 4*w**4/21 - 4*w**3/63 - 130*w. Factor o(m).
-2*m*(m - 2)*(11*m - 2)/21
Determine y, given that 3/7*y**4 - 39/7*y**2 + 36/7 - 33/7*y + 33/7*y**3 = 0.
-12, -1, 1
Let h = 2593/16835 + -3/16835. Suppose 0 + h*k**5 + 0*k - 8/13*k**2 - 12/13*k**4 + 18/13*k**3 = 0. What is k?
0, 1, 4
Suppose -2*b + b = 9*b. Let q(c) be the first derivative of -6 + 2/21*c**3 - 2/7*c + b*c**2. Factor q(k).
2*(k - 1)*(k + 1)/7
Suppose 0 + 16/5*w**4 - 16/5*w**2 + 4/5*w**5 + 12/5*w**3 - 16/5*w = 0. What is w?
-2, -1, 0, 1
Find y, given that 0*y + 8/7*y**4 + 0*y**2 - 2/7*y**5 + 0 + 24/7*y**3 = 0.
-2, 0, 6
Let a be (-2)/4 + 125/(-2). Let d = -38 - a. Solve -d*f - 11*f**2 + 4*f**4 - 6*f**2 + f**2 + 4*f**3 + 9*f = 0 for f.
-2, -1, 0, 2
Let a(r) be the first derivative of r**6/6 + 3*r**5/5 - 13*r**4/4 - 11*r**3/3 + 12*r**2 + 20*r + 13. Determine g so that a(g) = 0.
-5, -1, 2
Let x be 33/110*2 + (-14)/(-10). Let n(c) be the first derivative of 0*c + 3/4*c**4 + 3/5*c**5 - x*c**3 + 0*c**2 - 7. Factor n(m).
3*m**2*(m - 1)*(m + 2)
Let k = 23558/13085 - 1/2617. Factor -k*c - 3/5*c**2 - 6/5.
-3*(c + 1)*(c + 2)/5
Suppose b - 4 = 2*i - 12, 2*b - 29 = -5*i. Let s(y) be the second derivative of 0 - 2*y + 1/7*y**b + 0*y**3 - 1/42*y**4. Factor s(t).
-2*(t - 1)*(t + 1)/7
Suppose -4*o + 3*y + 15 = -o, 3*y + 6 = 0. Let c(i) = 15*i**2 - 160*i + 25. Let p(a) = 2*a**2 - 20*a + 3. Let t(r) = o*c(r) - 25*p(r). Factor t(z).
-5*z*(z - 4)
Let c(n) be the first derivative of -3*n**5/250 + 2*n**4/75 - n**3/75 - 18*n + 9. Let t(z) be the first derivative of c(z). What is k in t(k) = 0?
0, 1/3, 1
Factor 157*n**5 - 480*n**4 + 2*n + 147*n**3 - 39*n**2 + 41*n**3 + 7*n**2 + 293*n**5.
2*n*(3*n - 1)**2*(5*n - 1)**2
Factor 1/7*a**2 - 36/7*a + 0.
a*(a - 36)/7
Find j such that 809*j - 788*j - 16 + 3*j**2 - 38 = 0.
-9, 2
Let u(r) = 8*r**2 + 1419*r + 5. Let o(n) = 4*n**2 + 709*n + 3. Let t(k) = -5*o(k) + 3*u(k). Factor t(i).
4*i*(i + 178)
Let z(k) = -2*k**5 + 8*k**4 + 6*k**2 - 6*k. Let c(i) = 2*i**5 - 7*i**4 - 5*i**2 + 5*i. Let b(n) = -6*c(n) - 5*z(n). Factor b(w).
-2*w**4*(w - 1)
Solve -32*x - 2*x**5 - 5*x**3 - 3*x**3 + 2*x**4 + 24 - 10*x**2 + 26*x**3 = 0.
-2, 1, 3
Let r(q) = 15*q**3 + 21*q**2 + 9*q. Let t(s) = -s**4 - 29*s**3 - 41*s**2 - 19*s - 1. Let x = 4 - 6. Let m = x - -7. Let d(c) = m*r(c) + 3*t(c). Factor d(o).
-3*(o + 1)**4
Let 8/9*h**3 - 8/9 - 34/9*h**2 + 40/9*h = 0. What is h?
1/4, 2
Let p(c) be the second derivative of -c**5/100 - 121*c**4/15 - 29282*c**3/15 - 457*c. Factor p(o).
-o*(o + 242)**2/5
Let d(x) be the first derivative of x**4/4 - 3*x**3 + 12*x**2 - 16*x - 18. Factor d(a).
(a - 4)**2*(a - 1)
Let j be (-22 + 17)*(-3)/5. Suppose -3*x + 5*h + j = -26, -4*h - 22 = -2*x. Factor -2/5*c**4 - 18/5*c**2 - 14/5*c - 4/5 - 2*c**x.
-2*(c + 1)**3*(c + 2)/5
Let a(c) be the first de