0*y**2 + y - 1/4*y**4 - 1/20*y**5. Factor c(j).
-j*(j + 1)*(j + 2)
Factor 56/5*s**3 + 288/5*s**2 + 352/5 + 544/5*s + 2/5*s**4.
2*(s + 2)**3*(s + 22)/5
Let y be 2 - (-68)/(-36) - (-89)/36. Let v(i) be the first derivative of i**2 - 4 - 3/5*i**5 + 7/16*i**4 + y*i**3 - i. What is o in v(o) = 0?
-1, -2/3, 1/4, 2
Let x(z) be the first derivative of -5*z**3/9 - 25*z**2 - 145*z/3 + 94. Suppose x(b) = 0. What is b?
-29, -1
Suppose -1149 + 1061 = -22*k. Let 2*b**4 + 8*b**2 + 6*b**3 + 1/4*b**5 + 0 + k*b = 0. What is b?
-2, 0
Suppose 263*v - 269*v + 6 = 0. Let h(q) be the first derivative of 0*q**3 + v - 4/3*q - 1/6*q**4 + q**2. Factor h(p).
-2*(p - 1)**2*(p + 2)/3
Let a(o) = 3*o**3 - o**2 - 2. Let m(c) = c + 1. Let s be m(4). Let i(u) = 7*u**3 - 2*u**2 - 5. Let v(d) = s*a(d) - 2*i(d). Let v(l) = 0. Calculate l.
0, 1
Let w(q) be the first derivative of q**5/5 - 5*q**4/4 + 2*q**3 + 2*q**2 - 8*q - 51. Factor w(d).
(d - 2)**3*(d + 1)
Let d be 23/(-690)*5/(-3). Let k = d - -49/90. Factor 0*l + k - 3/5*l**2.
-3*(l - 1)*(l + 1)/5
Let j(t) = -t**5 - t**4 + t**3 - t**2 - t. Let p(w) = -4*w**4 - 3*w**3 + 11*w**2 - w. Let u(a) = -3*j(a) + 3*p(a). Factor u(r).
3*r**2*(r - 3)*(r - 2)*(r + 2)
Let k(m) be the first derivative of m**6/3 - 114*m**5/5 + 420*m**4 - 1568*m**3/3 + 144. Factor k(i).
2*i**2*(i - 28)**2*(i - 1)
Suppose 3*u + 2*k = 10, -5*k = 4*u - 10 - 1. Let 2*o**2 - 14*o + u + 14*o**2 - 6*o**3 + 0*o**3 = 0. Calculate o.
2/3, 1
Suppose 179 = 14*w + 1495. Let s = w + 96. Factor 1/3*l - 1/6*l**s + 0.
-l*(l - 2)/6
Let z(f) be the second derivative of -1/10*f**5 + 0 + 0*f**2 + 0*f**3 - 1/45*f**6 - 1/9*f**4 - 9*f. Find t, given that z(t) = 0.
-2, -1, 0
Let w(a) = 102*a - 202. Let p be w(2). Suppose 2/3*y**p + 0 - 2/3*y = 0. What is y?
0, 1
Let b(j) = -j**2 + 18*j - 14. Suppose -13*l = -16*l + 51. Let v be b(l). Find o such that 3/4*o**2 - 3/4*o**v - 1/4*o + 1/4*o**4 + 0 = 0.
0, 1
Let k(p) be the third derivative of p**8/11200 + p**7/4200 - p**6/1200 + p**5/3 - 18*p**2. Let n(j) be the third derivative of k(j). Factor n(f).
3*(f + 1)*(3*f - 1)/5
Let g(i) be the second derivative of 2*i**6/15 + 3*i**5/5 + i**4/3 - 2*i**3 - 4*i**2 + 2*i + 2. Factor g(a).
4*(a - 1)*(a + 1)**2*(a + 2)
Let k be 1/(-2)*-2*(-1)/(-33). Let r(d) be the third derivative of -k*d**4 + 4/33*d**3 + 0*d + 1/330*d**5 - 3*d**2 + 0. Suppose r(b) = 0. Calculate b.
2
Let v(d) be the second derivative of -7*d + 4*d**3 + 0*d**6 + 0 + 8*d**2 + 1/21*d**7 - 1/3*d**4 - 7/10*d**5. Determine l, given that v(l) = 0.
-2, -1, 2
Factor -1/3*t**2 + 10/3 - t.
-(t - 2)*(t + 5)/3
Let n(t) = -23*t**2 - 38*t + 180. Let y(z) = -5*z**2 - 10*z + 45. Let l(j) = 4*n(j) - 18*y(j). Determine r so that l(r) = 0.
5, 9
Factor -4/3*l**3 + 4/3*l**4 - 2/3 + 5/3*l - 2/3*l**2 - 1/3*l**5.
-(l - 2)*(l - 1)**3*(l + 1)/3
Let f(o) be the first derivative of -11/27*o**3 - 24 - 1/45*o**5 + 0*o + 7/36*o**4 + 5/18*o**2. Determine a, given that f(a) = 0.
0, 1, 5
Let a(u) = -2*u**5 - 64*u**4 - 126*u**3 - 64*u**2 + 2*u. Let c(p) = -p**5 - p**3 - 2*p**2 + 2*p. Let j(q) = 2*a(q) - 2*c(q). Factor j(f).
-2*f**2*(f + 1)**2*(f + 62)
Let w = 1/62 + 359/806. Let c = 48/65 + w. Determine q, given that 3/5*q**4 + 0 + 3*q**2 + c*q + 12/5*q**3 = 0.
-2, -1, 0
Let f(o) be the third derivative of 1/168*o**8 + 0*o**4 + 0*o + 0*o**3 - 13/210*o**7 + 1/5*o**6 + 29*o**2 + 0 - 3/20*o**5. Factor f(s).
s**2*(s - 3)**2*(2*s - 1)
Let u(s) be the first derivative of s**6/6 - s**5 + 7*s**4/4 + s**3/3 - 4*s**2 + 4*s + 100. What is z in u(z) = 0?
-1, 1, 2
Let y(o) = -15*o**4 + 43*o**3 - 23*o**2 - 6*o - 3. Let g(m) = 15*m**4 - 42*m**3 + 22*m**2 + 4*m + 2. Let u(z) = -3*g(z) - 2*y(z). Let u(s) = 0. What is s?
0, 2/3, 2
Factor -39 + 3*a**2 - 10*a**2 + 0*a**2 + 3 + 6*a**2 + 12*a.
-(a - 6)**2
Factor 0*v**3 - 18*v - 10 - 17/2*v**2 + 1/2*v**4.
(v - 5)*(v + 1)*(v + 2)**2/2
Let y(o) = 23*o**2 + 12*o + 22. Let b(c) = -2*c**2 - c - 2. Let r(k) = -44*b(k) - 4*y(k). Factor r(v).
-4*v*(v + 1)
Let t(g) = -883*g + 2. Let n be t(0). Let 2/5*d**n - 18/5*d + 16/5 = 0. What is d?
1, 8
Let y be 14*(-2 + (-6)/(-4)). Let b(r) = 0*r**2 - 7 + 11*r**2 + r**2 + 7*r. Let s(j) = 8*j**2 + 5*j - 5. Let d(g) = y*s(g) + 5*b(g). Solve d(i) = 0.
0
Suppose 5*c + 2*j + 10 = 3*c, -2*c + 5 = -j. Solve -4*o + 3*o**4 + o**4 + c*o**3 - 2*o**2 - 2*o**4 + 4*o**3 = 0.
-2, -1, 0, 1
Let n(w) be the third derivative of -w**6/240 - 47*w**5/120 - 11*w**4 + 48*w**3 + 184*w**2. Factor n(i).
-(i - 1)*(i + 24)**2/2
Let 1/2*c**2 + 11/2*c - 13 = 0. Calculate c.
-13, 2
Let z(a) = -25*a - 148. Let s be z(-6). Let o = 237/187 - 3/17. Determine k, given that -2/11 + 2*k**4 - 28/11*k**3 + o*k**s + 2/11*k - 6/11*k**5 = 0.
-1/3, 1
Let u(b) be the third derivative of -b**6/540 - b**5/45 - b**4/9 - 5*b**3/2 - 37*b**2. Let l(o) be the first derivative of u(o). Suppose l(s) = 0. Calculate s.
-2
Let h = 13231 - 13228. Determine d so that 20/9*d**2 - 8/9*d + 2/9*d**5 - 16/9 + 2/9*d**h - 8/9*d**4 = 0.
-1, 2
Let l(c) be the third derivative of c**8/3696 - 4*c**7/1155 + 7*c**6/440 - 3*c**5/110 + 34*c**2. Factor l(x).
x**2*(x - 3)**2*(x - 2)/11
Suppose 3 = 3*a + h - 9, -3*h = 5*a - 20. Let u(n) be the second derivative of 4*n - 1/9*n**3 + 0 + 1/18*n**a + 0*n**2. Factor u(z).
2*z*(z - 1)/3
Let n = 74 - 102. Let l be (-96)/(-224) + 2*2/n. Determine o so that 0*o + l - 4/7*o**2 + 2/7*o**4 + 0*o**3 = 0.
-1, 1
Let a(y) = -y**3 - 8*y**2 + 12*y + 4. Let m(h) = 3*h**3 + 33*h**2 - 48*h - 15. Let k(p) = -15*a(p) - 4*m(p). Find d such that k(d) = 0.
0, 2
Let b(v) = -12*v**4 + 3*v**3 + 61*v**2 + 64*v - 5. Let n(a) = 17*a**4 - 5*a**3 - 91*a**2 - 96*a + 7. Let k(m) = 7*b(m) + 5*n(m). Let k(p) = 0. What is p?
-2, 0, 8
Let y be (2/(-11))/(15/(-15)). Factor -10/11*p + 2/11*p**3 + 6/11 + y*p**2.
2*(p - 1)**2*(p + 3)/11
Let x be (40 + 5)/((45/12)/5). Let -10*j**3 - 8*j**5 + 45*j - 3*j**4 + 13*j**5 + x*j**2 - 17*j**4 = 0. What is j?
-1, 0, 3
Let z(b) be the second derivative of 3*b**5/40 + 5*b**4/6 + 3*b**3 + 4*b**2 + 39*b - 6. Find m such that z(m) = 0.
-4, -2, -2/3
Let d(r) be the second derivative of r**6/120 + 3*r**5/80 - r**4/24 - r**3/2 - r**2 - r + 10. Find g such that d(g) = 0.
-2, -1, 2
Let a(f) = f**3 - f**2 - f. Let h(n) = -10*n**3 + 26*n**2 + 74*n + 49. Let u(v) = 22*a(v) + 2*h(v). Solve u(l) = 0.
-7, -1
Let m be 2/5 + 65/25. Suppose 0 = 3*c - 0*c - 2*v - 22, -3*c = 4*v + 8. Factor 17*d**2 - 3*d**c - 2*d**3 - 4*d**m - 20*d**2.
-3*d**2*(d + 1)**2
Let c(f) be the first derivative of 0*f**2 + 3/4*f**4 - 2/15*f**3 + 16 + 17/25*f**5 + 0*f. Find v, given that c(v) = 0.
-1, 0, 2/17
Let z(q) = -13 - 17 + 3 + 16*q + 7. Let b(d) = -d**2 + 16*d - 19. Let n(c) = 4*b(c) - 3*z(c). Suppose n(x) = 0. Calculate x.
2
Let b(p) be the second derivative of -1/15*p**6 + 0 + 7/3*p**3 + 1/2*p**5 + 10*p - 3/2*p**4 - 2*p**2. Factor b(n).
-2*(n - 2)*(n - 1)**3
Let n(g) be the first derivative of -10*g**2 + 25 - 5/3*g**3 + 25*g. What is d in n(d) = 0?
-5, 1
Let l = 1163/4763 - 27/433. Factor 0*h**2 + 0*h + 4/11*h**4 + 0 - 2/11*h**5 - l*h**3.
-2*h**3*(h - 1)**2/11
Let n = -1713/2 - -857. What is b in 6 - 7/2*b + n*b**2 = 0?
3, 4
Let d = -1196 + 1197. Factor -1/2*g**3 + g**2 + 1/2*g - d.
-(g - 2)*(g - 1)*(g + 1)/2
Let b be ((-5)/10)/((-3)/24). Suppose -4*y + b = 5*d - 2, -d + y + 3 = 0. Factor 3 + 2*r**2 - 4*r**d - 4*r + 1 + 3*r**2.
(r - 2)**2
Find s, given that 0*s + 5/4*s**4 - 1/4*s**5 + 0 + 7*s**3 - 8*s**2 = 0.
-4, 0, 1, 8
Let b(m) be the second derivative of 0*m**2 - 1/40*m**6 + 0*m**3 + 3*m - 3/20*m**5 + 0 - 3/16*m**4. Determine i, given that b(i) = 0.
-3, -1, 0
Let v(f) be the third derivative of f**6/600 + 3*f**5/25 - f**2 - 93*f. Factor v(w).
w**2*(w + 36)/5
Factor -1/8*u**3 - 4 - 9/2*u - 3/2*u**2.
-(u + 2)**2*(u + 8)/8
Let c(p) be the second derivative of p**6/60 - p**5/20 - 67*p**4/24 - 31*p**3/3 - 15*p**2 + 320*p. Determine i, given that c(i) = 0.
-6, -1, 10
Let u = -36 - -18. Let p = -16 - u. Let 9*t**p - 3 - 18*t - 21*t**2 + 3*t = 0. What is t?
-1, -1/4
Let b(r) be the second derivative of -r**4/8 - 61*r**3/8 - 45*r**2/4 - 2*r + 1. Find m, given that b(m) = 0.
-30, -1/2
Let n be (-16)/(-2) + ((-175)/(-14) - 19). Factor 3/4*m**3 - 3/4*m - n*m**2 + 3/2.
3*(m - 2)*(m - 1)*(m + 1)/4
Solve 40 + 16*n - 175*n + 20*n**2 - 45*n = 0.
1/5, 10
Suppose 13/2*g**3 - 30*g**2 - 1/2