3. Let r(l) = -14*m(l) + 6*o(l). Let r(g) = 0. Calculate g.
-26, 0
Let j(l) be the first derivative of l**6/2 - 33*l**5/5 + 63*l**4/2 - 70*l**3 + 159*l**2/2 - 45*l - 82. Factor j(g).
3*(g - 5)*(g - 3)*(g - 1)**3
Let l(b) be the second derivative of b**5/120 + b**4/12 - 5*b**3/12 - 4*b**2 - 19*b. Let h(n) be the first derivative of l(n). Factor h(w).
(w - 1)*(w + 5)/2
Find r, given that 4 + 34/3*r**4 + 10/3*r + 4*r**5 - 22/3*r**3 - 46/3*r**2 = 0.
-3, -1, -1/2, 2/3, 1
Suppose 22*l - 127 + 83 = 0. Factor 2/5*y**5 + 0*y**3 + 4/5*y**l + 0 - 4/5*y**4 - 2/5*y.
2*y*(y - 1)**3*(y + 1)/5
Let y(h) = -4*h**2 - 4*h + 1. Let n(j) = 2*j**2 + 2*j. Suppose -38 = -2*q + 18. Let o = q + -21. Let x(r) = o*n(r) + 4*y(r). Factor x(t).
-2*(t - 1)*(t + 2)
Find q, given that 305/2*q**2 + 6 - 25/4*q**3 - 241/4*q = 0.
1/5, 24
Let u = -12 + 17. Let 15*m**2 - 15*m**4 + 0*m**u + 15*m - 10*m**3 - 5*m**5 + 5 - 5*m**2 = 0. Calculate m.
-1, 1
Let j(v) = -v**3 + 0 + 3*v**2 - v**3 + v**3 + 4. Let w be j(3). Find r, given that -19*r**w - 3*r**5 - 24*r**3 + 7*r**4 - 16*r**2 + r**5 = 0.
-2, 0
Find u such that 3*u - 5*u**3 - 49*u**2 + 1 + 2*u + 14*u**2 + 34 = 0.
-7, -1, 1
Find k, given that 16*k**2 + 267*k + 40*k**2 + 62*k**2 - 3*k**3 - 168*k - 22*k**2 = 0.
-1, 0, 33
Factor -92160*s**4 + 25800*s**2 - 63360*s**3 - 17375/6*s + 625/6.
-5*(s + 1)*(48*s - 5)**3/6
Let d = 789 + -789. Let p(a) be the third derivative of d*a + 2/21*a**3 + 0 - 1/210*a**5 - 1/84*a**4 - 5*a**2. Suppose p(n) = 0. What is n?
-2, 1
Suppose -4/3*g - 4/3*g**2 + 8 = 0. What is g?
-3, 2
Suppose -2*g - 2*g = -4*b - 28, -5*g = -4*b - 30. Factor 6*t + t**2 + t**2 - 5*t**g.
-3*t*(t - 2)
Let q = 201 + -204. Let g be -18*q*1/18. Suppose -6*s**2 - 14/3*s - 2/3*s**4 - 10/3*s**g - 4/3 = 0. What is s?
-2, -1
Let d(w) be the first derivative of 2*w**5/35 - 6*w**4/7 - 2*w**3/21 + 12*w**2/7 + 531. Determine a, given that d(a) = 0.
-1, 0, 1, 12
Find p such that -23/3*p**4 - 4/3*p**2 + 0*p - 16*p**3 + 0 = 0.
-2, -2/23, 0
Let r(x) be the third derivative of x**5/20 + 29*x**4/8 + 27*x**3 - 4*x**2 - 17*x. Factor r(h).
3*(h + 2)*(h + 27)
Let i(a) = a**3 + 17*a**2 - 8*a. Let t be i(-17). What is w in -70*w + t + 111 + 5*w**2 - 2 = 0?
7
Let q(t) = t**3 - t**2 - t - 1. Let g(m) = -3*m**3 + 9 - 11*m**2 - 7*m - 6*m**3 - 4. Let j(u) = g(u) + 5*q(u). What is h in j(h) = 0?
-3, -1, 0
Let m(i) be the second derivative of i**5/5 - 14*i**4/3 - 64*i**3/3 - 135*i + 1. Factor m(d).
4*d*(d - 16)*(d + 2)
Let z(r) be the third derivative of -r**7/945 - r**6/54 + 125*r**4/54 + 625*r**3/27 - 2*r**2 + 72. Suppose z(k) = 0. What is k?
-5, 5
Let l(r) be the first derivative of -4*r**3/3 - 2*r**2 + 48*r + 58. Let l(a) = 0. Calculate a.
-4, 3
Let j(v) = v**2 + v. Let t(b) = -2*b**2 + 6*b - 10. Let z(d) = j(d) + t(d). Find m such that z(m) = 0.
2, 5
Let k(r) = r**3 + 4*r**2 + 2*r - 2. Let c be k(-2). What is d in d**4 - 4*d**3 + 13 + 2*d + 6*d**c - 4*d - 12 - 2*d = 0?
1
Let q be (-51)/36*3 + 5. Let s(o) be the first derivative of -45/8*o**4 - 13/4*o**3 + 10 - q*o**2 + 0*o - o**6 - 21/5*o**5. Let s(i) = 0. Calculate i.
-2, -1/2, 0
Factor 2*k**4 - 21*k**2 - k**2 + 11*k**2 - 4*k + 5*k**2.
2*k*(k - 2)*(k + 1)**2
Let i(d) = 2*d**5 + d**4 - d**3 - d - 1. Let t(f) = 36*f**5 + 16*f**4 - 16*f**3 + 4*f**2 - 20*f - 20. Let n(c) = 20*i(c) - t(c). Suppose n(y) = 0. What is y?
-1, 0, 1
Let z(q) = -2*q**2 + q - 2. Let y be z(2). Let w(m) = 3*m**2 - 11*m - 9. Let p(g) = 5*g**2 - 17*g - 14. Let a(n) = y*w(n) + 5*p(n). Find s such that a(s) = 0.
-2, -1
Suppose g = -5*a - 21, 77*g = 82*g + 5*a + 5. Let w(d) be the first derivative of 0*d - 2*d**g + 0*d**2 - 12 + 16/9*d**3 - 1/9*d**6 + 4/5*d**5. Factor w(s).
-2*s**2*(s - 2)**3/3
Let u(p) be the third derivative of -p**6/300 + 4*p**5/15 - 13*p**4/20 - 265*p**2. Factor u(d).
-2*d*(d - 39)*(d - 1)/5
Let 2*q + 1/4*q**3 + 0 + 9/4*q**2 = 0. What is q?
-8, -1, 0
Let w(x) be the first derivative of 5*x**4/9 + 16*x**3/3 - 10*x**2/3 + 22*x + 2. Let u(f) be the first derivative of w(f). Factor u(t).
4*(t + 5)*(5*t - 1)/3
Suppose 8*c + 6 = 10*c. Let z be (12/(-20))/((-4)/24). What is q in z*q**2 + 0 + 14/5*q**c + 4/5*q = 0?
-1, -2/7, 0
Let f(v) be the first derivative of v**5/5 - v**3/3 + 106. Factor f(k).
k**2*(k - 1)*(k + 1)
Suppose 3*c - v - 296 = 3*v, -4 = -4*v. Let x = c - 100. Factor -4/11 - 6/11*n + 2/11*n**3 + x*n**2.
2*(n - 2)*(n + 1)**2/11
Factor 0 - 48*d + 80/3*d**2 - 4/3*d**3.
-4*d*(d - 18)*(d - 2)/3
Let m(b) be the third derivative of -b**6/420 - b**5/105 + b**4/84 + 2*b**3/21 + 2*b**2 + 70*b. Find y, given that m(y) = 0.
-2, -1, 1
Let q(t) be the second derivative of -t**7/2520 - t**6/270 - 5*t**3/2 + 5*t. Let b(j) be the second derivative of q(j). Factor b(g).
-g**2*(g + 4)/3
Let l(c) be the third derivative of c**9/15120 - c**8/8400 - c**7/4200 + c**6/1800 + c**3/3 - 3*c**2. Let a(m) be the first derivative of l(m). Factor a(n).
n**2*(n - 1)**2*(n + 1)/5
Let q(w) be the first derivative of 25*w**3/3 - 15*w**2/2 - 10*w + 43. Find i, given that q(i) = 0.
-2/5, 1
Factor 9/2*t + 6 - 3/2*t**2.
-3*(t - 4)*(t + 1)/2
Let w = 40/7 - 38/7. Let c = 11/14 - w. Find n, given that c - 5/2*n - 3/2*n**3 + 7/2*n**2 = 0.
1/3, 1
Suppose -4*q - j = q - 42, -12 = -q - 2*j. Find k, given that 11*k**2 + 4*k**4 - 30*k**3 - q*k - 4*k**5 + 14*k**5 - 17*k**2 - 26*k**2 = 0.
-1, -2/5, 0, 2
Let s(w) be the first derivative of 10/21*w**3 + 3/14*w**4 - 2/35*w**5 + 2/7*w**2 - 6 - 1/21*w**6 + 0*w. Factor s(r).
-2*r*(r - 2)*(r + 1)**3/7
Let g = -3167/9 + 352. Let p(s) be the third derivative of 0 + 1/180*s**5 - g*s**3 - 5*s**2 + 0*s - 1/72*s**4. Determine w, given that p(w) = 0.
-1, 2
Let u(t) be the second derivative of 0*t**3 + 0*t**4 - 6*t**2 + 12*t + 1/210*t**5 + 0. Let o(z) be the first derivative of u(z). Factor o(j).
2*j**2/7
Let k be (-8)/2 + 14 + -14. Let o(d) = d**2 + d. Let s(v) = v**3 + 9*v**2 + 12*v. Let q(y) = k*s(y) + 44*o(y). What is f in q(f) = 0?
0, 1
Suppose 8*c = 16*c - 32. Let f(y) be the first derivative of 0*y + 4 - 1/15*y**5 - 4/3*y**3 + 1/2*y**c + 4/3*y**2. Factor f(g).
-g*(g - 2)**3/3
Let v = -2113 - -2115. Let -12/5 + 18/5*l - 6/5*l**v = 0. Calculate l.
1, 2
What is h in 11*h**2 - 101*h**5 - 92*h**5 - 56*h**3 + 52*h + 197*h**5 + 48*h**4 - 59*h**2 = 0?
-13, -1, 0, 1
Suppose -22262*q = -22332*q + 350. Find g, given that 16/13*g + 0 + 8/13*g**2 - 12/13*g**3 - 10/13*g**4 - 2/13*g**q = 0.
-2, 0, 1
Let f(l) be the third derivative of 0 + 1/3*l**5 + 0*l**4 + 1/24*l**6 + 0*l**3 + 0*l + 10*l**2. Factor f(v).
5*v**2*(v + 4)
Let x be 2/(-17 + 26 + -4 + -1). Suppose 5/2*d + 3/2 - 1/2*d**3 + x*d**2 = 0. Calculate d.
-1, 3
Let g = 2045 - 8063/4. Let s = g - 29. Factor 0*y - s*y**4 - 1/4*y**5 + 1/4*y**3 + 1/4*y**2 + 0.
-y**2*(y - 1)*(y + 1)**2/4
Let c(z) be the first derivative of z**5/15 - z**4/4 - 2*z**3/9 + 2*z**2 - 8*z/3 + 670. Factor c(j).
(j - 2)**2*(j - 1)*(j + 2)/3
Factor -881*a**2 + a**3 + 854*a**2 + 0 + 0.
a**2*(a - 27)
Let m be (-5 - -1)/(2 - 3). Suppose 7 - m = g. Find k such that 12*k + 26 + 20*k**2 + 20*k + 3*k**g - 10 + k**3 = 0.
-2, -1
Factor -5*y**2 - 16 + 35 - 29 - 15*y.
-5*(y + 1)*(y + 2)
Let y(d) be the third derivative of d**8/3780 + d**7/945 - d**6/810 - d**5/135 + 20*d**3/3 - 4*d**2 - 5. Let g(w) be the first derivative of y(w). Factor g(k).
4*k*(k - 1)*(k + 1)*(k + 2)/9
Determine k, given that -12437*k**2 + 3*k**3 - k**5 + 12437*k**2 - 2*k**4 = 0.
-3, 0, 1
Solve 2529*d - 4977*d + 2464*d**4 + 1188*d**3 - 1264*d**2 - 196*d**5 + 2656*d = 0 for d.
-1, 0, 2/7, 13
Let l(h) = 2*h**3 + 11*h**2 - 4*h + 14. Let w be l(-6). Factor -3/8*g**w + 3/2 - 3/8*g**3 + 3/2*g.
-3*(g - 2)*(g + 1)*(g + 2)/8
Let r = 56 + -50. Let d(n) be the third derivative of 0*n - 2/5*n**5 - 6*n**2 - 2/3*n**3 - 1/12*n**r + 0 - 3/4*n**4. Factor d(x).
-2*(x + 1)**2*(5*x + 2)
Let f(x) be the third derivative of 0*x**4 + 10*x**2 + 0*x + 1/330*x**5 + 0*x**3 - 1/440*x**6 + 0 + 1/2310*x**7. Factor f(m).
m**2*(m - 2)*(m - 1)/11
Let p(j) = -6*j**2 - 729*j - 23823. Let a(i) = -3*i**2 - 363*i - 11912. Let u(r) = -9*a(r) + 5*p(r). Suppose u(k) = 0. Calculate k.
-63
Suppose -38 = -3*g + 5*n, 4*g - 3*n = 22 + 14. Let j(x) be the third derivative of 1/40*x**g + 0*x**3 - 1/20*x**5 + 0*x + 0 + 0*x**4 + 4*x**2. Factor j(l).
3*l**2*(l - 1)
Determine z so that 75/7*z - 222/7*z*