4*q. Find k such that t(k) = 0.
-1, -1/3, 0, 1/4
Let w = 192 - 191. Let v be (-16)/6 + w + (2 - 0). Solve v*h**4 - 1/3*h - 2/3*h**2 + 2/3*h**3 + 1/3 - 1/3*h**5 = 0 for h.
-1, 1
Suppose -4*p + 5*h + 9 = 0, -5 = 11*h - 10*h. Let v be (-33)/(-6) + p + -1. Suppose 1/2*u**3 - u**5 + 0 - v*u**4 + 0*u**2 + 0*u = 0. What is u?
-1, 0, 1/2
Suppose -4*w = 4*b + 180, 0*w = b - 2*w + 30. Let p be ((12/b)/3)/(6/(-75)). Suppose 0*l - 1/4*l**5 - 1/2*l**2 - p*l**3 - l**4 + 0 = 0. Calculate l.
-2, -1, 0
Let i be 17 + 1/(1/(-4)). Let g(y) = -y + 22. Let s be g(i). Determine q so that -9 + s - 6*q**2 + 2*q**2 - 8*q = 0.
-2, 0
Suppose 11*j + 15 = 14*j. Factor 2 - j + 2*s + 5 - 6*s + 2*s**2.
2*(s - 1)**2
Suppose 0 = -3*u + 2*t + 6, 5*t = 4*u - 9*u + 35. Factor -4*m**2 + 17*m**5 + 3*m**u - 19*m**5 + m**4 + 2*m.
-2*m*(m - 1)**3*(m + 1)
Let b(n) = 350*n - 225*n**2 - 135 - 215*n**2 + 135*n**3 - 20*n**2. Let q(k) = -5*k**3 + 17*k**2 - 13*k + 5. Let w(o) = -2*b(o) - 55*q(o). Factor w(s).
5*(s - 1)**3
Let z(x) = -3*x - 125. Let l be z(-44). Let y(o) be the first derivative of 0*o**4 - l - 2/45*o**5 - 2/9*o + 4/27*o**3 + 0*o**2. Factor y(i).
-2*(i - 1)**2*(i + 1)**2/9
Let a = 102 - 100. Let d(q) = -51*q**3 + 90*q**2 + 9*q - 90. Let z(r) = -5*r**3 + 9*r**2 + r - 9. Let v(f) = a*d(f) - 21*z(f). Factor v(n).
3*(n - 3)*(n - 1)*(n + 1)
Let p be (0*(-3)/(-9))/1 - (-3 + 3). Factor -5*y**2 - 10/3*y + 5/3*y**4 + p + 0*y**3.
5*y*(y - 2)*(y + 1)**2/3
Let p be (-1)/((-18)/(-10))*1788/(-745). Let c(r) be the first derivative of p*r**3 + 4*r**2 + 0*r - 8. Solve c(n) = 0 for n.
-2, 0
Let b(u) be the third derivative of -u**9/211680 - u**8/35280 + u**5/30 - 2*u**2. Let l(h) be the third derivative of b(h). What is q in l(q) = 0?
-2, 0
Let t(s) be the second derivative of s**6/6 - 17*s**5/2 + 145*s**4 - 825*s**3 + 3375*s**2/2 - 340*s. Determine y so that t(y) = 0.
1, 3, 15
Suppose -3 = 4*x - 39. Suppose -7*l + 52 = -2*l + 2*b, 3*l = 4*b + 52. Determine o, given that -8*o**2 - 4*o - 3*o**2 + o - l*o**3 + x*o**4 + o = 0.
-1/3, 0, 2
Suppose p = -4*p - 35. Let c(i) = -i**3 - 8*i**2 - 9*i + 9. Let l be c(p). Factor 4*w**4 - 23 + 3*w**3 + l - 10*w**4 + 3*w**5.
3*w**3*(w - 1)**2
Let b(t) = 10*t**3 - 412*t**2 + 608*t - 197. Let n(g) = -30*g**3 + 1237*g**2 - 1823*g + 592. Let a(l) = -8*b(l) - 3*n(l). Suppose a(f) = 0. What is f?
1/2, 1, 40
Let y = 776 - 774. Solve -1/5*n**4 + 0*n**y + 0*n + 0 - 1/5*n**3 = 0 for n.
-1, 0
Let y(x) be the third derivative of x**5/180 - x**4/2 + 18*x**3 + 3*x**2. Find h such that y(h) = 0.
18
Let o(b) be the first derivative of -1250*b**4 + 3550*b**3/3 + 74*b**2 + 3*b/2 - 287. Factor o(n).
-(4*n - 3)*(50*n + 1)**2/2
Solve 26/5 + 88/5*d**3 - 132/5*d**2 + 24/5*d - 6/5*d**4 = 0 for d.
-1/3, 1, 13
Find u, given that 0 - 27/4*u**2 + 0*u - 13/2*u**3 + 1/4*u**4 = 0.
-1, 0, 27
Let y(f) be the first derivative of 3*f**4/8 + 48*f**3 - 297*f**2 + 600*f + 880. Find w, given that y(w) = 0.
-100, 2
Let n(l) be the second derivative of -224*l**6/15 + 1096*l**5/5 + 83*l**4 - 176*l**3/3 - 40*l**2 - l - 6. Suppose n(p) = 0. What is p?
-1/4, 2/7, 10
Let p = -8 - -5. Let m(a) = 4*a**2 + a - 3. Let f(q) = -1 + q**2 - 5 + 5. Let j(u) = p*f(u) + m(u). Factor j(c).
c*(c + 1)
Find i such that -3/2*i**4 + 9/4*i**3 + 0*i - i**2 + 1/4*i**5 + 0 = 0.
0, 1, 4
Let o = -262 - -6289/24. Let q(j) be the second derivative of -2*j - 1/2*j**3 + 0 - 9/4*j**2 - o*j**4. Let q(m) = 0. Calculate m.
-3
Let o(s) be the first derivative of -2*s**6/15 - 4*s**5/25 + 2*s**4 - 32*s**3/15 - 156. Suppose o(r) = 0. Calculate r.
-4, 0, 1, 2
Suppose 0 = 30*v - 36*v + 12. Let b(d) be the first derivative of 0*d**v + 9/7*d**3 + 9/28*d**4 + 0*d + 1/14*d**6 - 1 - 3/7*d**5. Factor b(i).
3*i**2*(i - 3)**2*(i + 1)/7
Let o be (-10)/(-8)*532/1330. Factor d**2 - o*d**3 + 0 + 0*d.
-d**2*(d - 2)/2
Suppose -f + 1 = a + 2, -3*f + 3 = -3*a. Let c = 4 - a. Determine t so that 10*t**4 + 8*t**3 + 5*t**2 + c*t**3 + 2*t**3 = 0.
-1, -1/2, 0
Let b(s) be the first derivative of 1/10*s**5 + 12 + 1/8*s**4 + 1/18*s**3 + 1/36*s**6 + 0*s + 0*s**2. Factor b(y).
y**2*(y + 1)**3/6
Let q(m) = 25*m**2 + 1. Let l be q(-1). Factor -l*y + 12*y**4 - 2*y**3 - 48*y**2 + 4*y - 2*y**5 - 10*y.
-2*y*(y - 4)**2*(y + 1)**2
Let w = 56 + -51. Find t such that -7*t**5 + 5*t**3 + 0*t**3 + 2*t**w - t**4 + 5*t**2 - 4*t**4 = 0.
-1, 0, 1
Let r(x) be the second derivative of 5*x**4/12 + 15*x**3/2 - 25*x**2 - x + 71. Factor r(z).
5*(z - 1)*(z + 10)
Let j(g) be the third derivative of 16/3*g**5 + 3 - 11*g**2 + 2/105*g**7 + 0*g - 3*g**4 - 54*g**3 + 3/5*g**6. Suppose j(y) = 0. What is y?
-9, -1, 1
Let l(a) = 725*a + 22475. Let p be l(-31). What is f in 16/9*f - 8/9*f**2 - 4/3*f**3 + p + 2/9*f**5 + 2/9*f**4 = 0?
-2, 0, 1, 2
Factor 8/9*l + 8/9 + 2/9*l**2.
2*(l + 2)**2/9
Let z(q) = q**3 + 11*q + 22. Let t(n) = 2*n**3 + n**2 + 12*n + 24. Let c(o) = -2*t(o) + 3*z(o). Solve c(x) = 0.
-3, -2, 3
Let t(x) = -21*x - 859. Let q be t(-41). Let y be ((0 - -3) + -2)*3. Factor 0 + 0*h - 2/3*h**4 + 0*h**q - h**5 + 0*h**y.
-h**4*(3*h + 2)/3
Let x(o) be the second derivative of -1/18*o**4 + 0 - 1/3*o**2 - 31*o + 2/9*o**3. Factor x(l).
-2*(l - 1)**2/3
Determine w so that 28*w**2 + 123*w + 28*w**2 + 85*w - 74 + 170 - 12*w**4 - 68*w**3 = 0.
-6, -1, -2/3, 2
Let o(r) be the first derivative of -8 - 2/15*r**3 + 0*r**2 + 8/5*r. Factor o(s).
-2*(s - 2)*(s + 2)/5
Let h(o) be the third derivative of -o**7/280 + o**6/160 + 3*o**5/40 + 222*o**2. Factor h(l).
-3*l**2*(l - 3)*(l + 2)/4
Let o(l) = 24*l**3 + 5*l**2 - 7*l + 2. Let n(p) = 1 - p - 6*p + 3*p + 0*p**2 + 3*p**2 + 12*p**3. Let g(s) = 5*n(s) - 2*o(s). Factor g(j).
(j + 1)*(3*j - 1)*(4*j - 1)
Factor -5/4*q**2 - 1/4*q**3 - 2*q - 1.
-(q + 1)*(q + 2)**2/4
Suppose -2*d = -2*y - 4, -2*y = -3*d - 1 + 10. Solve 56*s - 66*s + 15*s**4 + 59*s**2 - 24*s**2 - 40*s**y = 0.
0, 2/3, 1
Suppose 0 = -22*p - 10*p + 96. Let u(b) be the third derivative of 0*b**p - b**2 + 1/20*b**5 + 0 + 0*b + 1/4*b**4. What is k in u(k) = 0?
-2, 0
Let c(k) be the first derivative of 13 + 6*k - 9/2*k**2 + k**3. Determine i so that c(i) = 0.
1, 2
Let c be (0 + -15)/(-5) - 0. Find l such that 3*l**3 + l**4 - 33*l**2 + 33*l**2 - c*l - l = 0.
-2, 0, 1
Let j(f) = -35*f**2 + 7840*f + 384110. Let h(b) = -4*b**2 + 980*b + 48014. Let v(r) = 25*h(r) - 3*j(r). Suppose v(w) = 0. Calculate w.
-98
Let q(j) be the second derivative of 10*j - 1/4*j**2 - 1/24*j**4 + 0 + 1/6*j**3. Suppose q(w) = 0. Calculate w.
1
Let k(t) = -t**3 + t**2 + t. Let v be k(0). Factor 20*c**3 - 15*c + v*c**2 - 3*c**2 - 2*c**2 + 0*c**2.
5*c*(c - 1)*(4*c + 3)
Factor 270*f + f**3 + 0*f**4 - 276*f - 9 + 12*f**2 + 3*f**3 + 2*f**3 - 3*f**4.
-3*(f - 3)*(f - 1)*(f + 1)**2
Let q(h) be the second derivative of -3*h**7/70 + 7*h**6/90 + h**5/15 + 2*h**3/3 - 11*h. Let v(g) be the second derivative of q(g). Find o, given that v(o) = 0.
-2/9, 0, 1
Let d(p) be the first derivative of -20/3*p + 5/4*p**4 + 35/9*p**3 - 30 + 0*p**2. Suppose d(n) = 0. Calculate n.
-2, -1, 2/3
Let g(u) be the first derivative of 0*u**2 + 5/3*u**3 + 0*u - 4. Factor g(t).
5*t**2
Determine a, given that 11*a - 7*a - 55*a**3 + 48*a**3 - 3*a**2 = 0.
-1, 0, 4/7
Let x(k) be the third derivative of k**5/30 + 13*k**4/12 - 14*k**3/3 + 111*k**2 + 2. Find o, given that x(o) = 0.
-14, 1
Let t(j) = 4*j**2 + 7*j - 18. Let p(k) = -4*k**2 - 8*k + 16. Let y(m) = -3*p(m) - 4*t(m). Factor y(n).
-4*(n - 2)*(n + 3)
Let x(z) = -5*z + 9*z**2 + 11*z + 3 + 0 - 4*z**2. Let l = 8 + -5. Let u(m) = -2*m**2 - 3*m - 1. Let r(h) = l*x(h) + 7*u(h). Factor r(a).
(a - 2)*(a - 1)
Let h(n) be the second derivative of -n**6/10 + 3*n**5/10 + 3*n**4/4 - 6*n - 18. Factor h(c).
-3*c**2*(c - 3)*(c + 1)
Let m(c) be the first derivative of c**4/46 - 56*c**3/69 + 165*c**2/23 + 900*c/23 + 821. Factor m(a).
2*(a - 15)**2*(a + 2)/23
Suppose 3*b = -3*m + 393, 3*b = 5*m - 0*b - 671. Let c be 2/1*38/m. What is w in 4/7*w**2 - 4/7 + 4/7*w - c*w**3 = 0?
-1, 1
Let d(q) = q + 2. Let v be d(6). Find c, given that 40*c**2 + 25*c - 11 - 192 + v*c**3 - 47 - 3*c**3 = 0.
-5, 2
Let j(v) be the first derivative of -v**8/7560 + v**6/540 + v**5/270 - 14*v**3/3 - 7. Let k(g) be the third derivative of j(g). Factor k(w).
-2*w*(w - 2)*(w + 1)**2/9
Suppose 56*u - 10*j - 18 = 60*u, 3*u - 3 = -2*j. Let -8/9*g + 8/9*g**u + 4/9*g**2 - 2/3