 + 0 - 1/6*w**6. What is a in b(a) = 0?
-3, -1
Let s(k) = -k - 7. Suppose -f + 0*f - 8 = -b, -3*b = -5*f - 48. Let y be s(f). Factor 2/15*i**y - 4/15*i**2 + 4/15*i**3 - 2/5*i - 2/15 + 2/5*i**4.
2*(i - 1)*(i + 1)**4/15
Let j = -15/43 - -305/258. Let o(y) be the first derivative of 2 + 5/2*y**2 - 5/2*y**4 - 10*y - 2*y**5 + 20/3*y**3 + j*y**6. Suppose o(q) = 0. What is q?
-1, 1, 2
Let a(p) = 14*p**3 + 14*p**2 + 68*p + 60. Let z(g) = 2*g**3 - g**2 + g. Let s(o) = -a(o) + 6*z(o). Factor s(w).
-2*(w + 2)*(w + 3)*(w + 5)
Let p(t) be the second derivative of 0*t**2 - 1/14*t**7 - 38*t + 0 + 0*t**5 + 1/2*t**3 + 1/2*t**4 - 1/5*t**6. Factor p(x).
-3*x*(x - 1)*(x + 1)**3
Let o = -779 + 2341/3. Determine c so that 4*c + o*c**3 - 4*c**2 - 4/3 = 0.
1
Suppose 5*t + 3*r = 13 - 12, -r = 2*t - 1. Solve -2/13*j - 4/13 + 2/13*j**t = 0.
-1, 2
Let n(s) be the third derivative of -2*s**7/45 - 22*s**6/45 - 5*s**5/3 - 23*s**4/9 - 16*s**3/9 - 19*s**2 + 4*s. Suppose n(q) = 0. What is q?
-4, -1, -2/7
Let r(c) = 2*c**2 + 4*c - 1. Let s be r(5). Find a such that -51*a + a**2 + 15 + s*a + 2*a**2 = 0.
-5, -1
Let q = 21 + -12. Let u(i) = -7*i**3 - i**2 + 6*i + 27. Let p(t) = -3*t**3 - t**2 + 3*t + 13. Let o(a) = q*p(a) - 4*u(a). Factor o(z).
(z - 3)**2*(z + 1)
Let h(y) be the third derivative of 0*y**3 - 7/60*y**6 + 19*y**2 + 0 + 3/10*y**5 + 0*y - 1/6*y**4. Factor h(v).
-2*v*(v - 1)*(7*v - 2)
Let h be -12*(-1)/(-2 - -3). Let y = h - 12. Find g such that y*g**3 + 2*g**2 + g + g**3 - 3*g - 3*g**2 = 0.
-1, 0, 2
Suppose -7*h = -8*h + 24. Let -21*g**5 + 3*g**3 + h*g**5 + 3*g**4 + 3*g**4 = 0. Calculate g.
-1, 0
Let x = 345/226 + -3/113. Let p = -89/2 + 45. Factor -1/2*f**4 - x*f**3 - p*f**2 + 1 + 3/2*f.
-(f - 1)*(f + 1)**2*(f + 2)/2
Let g = -1/3491 - -139829/659799. Let r = g - -2/27. Factor r*z**2 - 2/7 + 2/7*z**3 - 2/7*z.
2*(z - 1)*(z + 1)**2/7
Let r be 76/(-12) - 0 - (5 + -12). Let p(d) be the second derivative of -3/10*d**5 + 6*d - 5/6*d**4 - r*d**3 + 0*d**2 + 0. Factor p(y).
-2*y*(y + 1)*(3*y + 2)
Let z(l) be the third derivative of -l**5/210 - l**4/21 + 5*l**3/21 + l**2 + 25*l. Find p such that z(p) = 0.
-5, 1
Let w(t) = -5*t**2 + 26*t - 24. Let l(x) = -4*x**2 + 25*x - 20. Let r(i) = 6*l(i) - 5*w(i). Factor r(j).
j*(j + 20)
Let j(z) be the second derivative of -z**5/90 + z**4/9 - z**3/3 - 25*z**2/2 + 39*z. Let d(p) be the first derivative of j(p). Factor d(t).
-2*(t - 3)*(t - 1)/3
Let f(q) be the second derivative of -q**6/105 - q**5/35 - q**4/42 + 119*q. Solve f(y) = 0 for y.
-1, 0
Let j = -6 + 22. Let u(n) = -n**4 + n**3 - 2*n**2 - n + 3. Let m(v) = -6*v**4 + 4*v**3 - 10*v**2 - 4*v + 16. Let l(f) = j*u(f) - 3*m(f). Factor l(z).
2*z*(z - 1)*(z + 1)*(z + 2)
Let x(l) be the first derivative of -27*l**4/5 - 132*l**3/5 - 87*l**2/2 - 30*l - 254. Factor x(i).
-3*(i + 2)*(6*i + 5)**2/5
Suppose -192*b + 6 = -189*b. Solve -9*i**2 + 3*i**b + 7*i**2 = 0 for i.
0
Let g(i) = 165*i**3 - 723*i**2 + 299*i - 29. Let c(r) = -164*r**3 + 722*r**2 - 298*r + 30. Let s(k) = -3*c(k) - 2*g(k). Factor s(n).
2*(n - 4)*(9*n - 2)**2
Let f(a) be the second derivative of -1/2*a**2 + 0 - 5/18*a**3 + 17*a + 1/60*a**5 - 1/36*a**4. Factor f(x).
(x - 3)*(x + 1)**2/3
Let g be (4/(-16) + 376/1120)/((-198)/(-220)). Solve g*l**2 + 0 + 10/21*l = 0 for l.
-5, 0
Suppose 9*k = 6*k - 3*m + 15, -4*k = -m + 5. Let a(b) be the second derivative of -1/60*b**6 + 0*b**3 + k*b**2 - 3*b + 0*b**5 + 0*b**4 + 0. Factor a(r).
-r**4/2
Suppose 4/7*d**2 + 28*d + 0 = 0. What is d?
-49, 0
Let f = 1571/19140 + 2/1595. Let k(p) be the second derivative of -5*p - 1/30*p**6 + 0*p**5 + 0 + f*p**3 - 1/84*p**7 + 0*p**2 + 1/12*p**4. Factor k(d).
-d*(d - 1)*(d + 1)**3/2
Let i(q) be the third derivative of -7/4*q**4 - 8*q**2 - 31/80*q**5 - 1/40*q**6 + 0 + 0*q + 2*q**3. Determine a, given that i(a) = 0.
-4, 1/4
Suppose -4*u + 3*s + 15 = 0, -2*u - 4*s + 2 = -0. Suppose 5*i + u*q + 3 - 9 = 0, 4*i - 2*q = -4. Factor 1/3*k**5 + i*k**2 + 0*k**3 + 0*k + 0*k**4 + 0.
k**5/3
Let q(f) be the third derivative of -f**5/30 + 13*f**4/6 + 56*f**3/3 + 89*f**2. Factor q(j).
-2*(j - 28)*(j + 2)
Let k = 4323 - 64837/15. Factor 2/15*v**5 + 4/15*v**2 + 2/3*v**3 + 0*v + 0 + k*v**4.
2*v**2*(v + 1)**2*(v + 2)/15
Solve -575/3*p - 1/3*p**3 + 47/3*p**2 + 529/3 = 0.
1, 23
Suppose -18*j - 1009 + 496 + 567 = 0. Suppose 10*v**2 + 15/2*v**4 + 0*v + 0 + 65/2*v**j = 0. Calculate v.
-4, -1/3, 0
Let g(r) = 3*r**4 + 15*r**3 - 36*r**2 + 30*r + 6. Let a(m) = -3*m**4 - 14*m**3 + 38*m**2 - 31*m - 5. Let z(n) = 6*a(n) + 5*g(n). Factor z(b).
-3*b*(b - 2)*(b - 1)*(b + 6)
Let b(f) be the first derivative of 2*f**3/9 + 16*f**2/3 - 81. Factor b(o).
2*o*(o + 16)/3
Let u(b) be the first derivative of -b**4/12 - b**3/18 + 3*b**2/2 + 3*b/2 - 46. Factor u(n).
-(n - 3)*(n + 3)*(2*n + 1)/6
Suppose 4*u + x - 5 = 0, -4*u + 6 = -5*x + 31. Let f(t) be the third derivative of -1/150*t**5 + u + 0*t**3 + 0*t + t**2 + 1/60*t**4. Find i such that f(i) = 0.
0, 1
Let o = 51 + -149/3. Let c = 36/67 - -26/201. Let o*j**2 - 4/3 + 2/3*j**3 - c*j = 0. Calculate j.
-2, -1, 1
Let u = 31/11 + -361/132. Let h(v) be the second derivative of -u*v**4 + 1/6*v**3 - 4*v + 0 + 0*v**2. Let h(a) = 0. Calculate a.
0, 1
Let h(w) be the second derivative of -9*w**5/50 + 19*w**4/15 - 7*w**3/3 + 6*w**2/5 - w + 20. Let h(t) = 0. What is t?
2/9, 1, 3
Let u(l) = 146*l + 271. Let y(b) = -29*b - 54. Let m(w) = 2*u(w) + 11*y(w). Let a be m(-2). Find f such that -1/3*f**a - 1/6*f + 0 = 0.
-1/2, 0
Let c(i) be the first derivative of 5*i**3/3 + 90*i**2 - 185*i - 248. Find v such that c(v) = 0.
-37, 1
Let b = -131 - -171. Let j be 1 + (14/b)/((-8)/(-20)). Factor -1/2*p + j*p**2 - 1/2.
(3*p - 2)*(5*p + 2)/8
Let m(c) = -c**2 - 15*c - 6. Let d be m(-13). Let f be (-20)/6*(-24)/d. Find w such that 29*w - 6*w**2 - 2*w**4 + 4*w**f - 33*w = 0.
-1, 0, 2
Let i be 2 + 11 + (16 - 24). Factor -49/2*n**i + 0 - 63*n**4 - 30*n**3 - 4*n**2 + 0*n.
-n**2*(n + 2)*(7*n + 2)**2/2
Let s(y) be the first derivative of 1/12*y**3 - 1/24*y**4 - 6*y + 1/2*y**2 + 3. Let i(n) be the first derivative of s(n). Factor i(r).
-(r - 2)*(r + 1)/2
Find k such that 14/9 - 4/3*k**2 - 16/9*k**3 - 2/9*k**4 + 16/9*k = 0.
-7, -1, 1
Let y(t) be the third derivative of -t**8/50400 + t**7/4725 - t**6/1080 + t**5/450 - t**4/12 - 11*t**2. Let j(n) be the second derivative of y(n). Factor j(r).
-2*(r - 2)*(r - 1)**2/15
Let c(t) = t**3 + 3*t**2 - 3*t - 6. Let i be c(-3). Let j be (17/4 - 0)*4. Factor i*q - q - j*q + 6 - 54*q**2.
-3*(2*q + 1)*(9*q - 2)
Factor 746496/11 + 432/11*r**2 - 2/11*r**3 - 31104/11*r.
-2*(r - 72)**3/11
Let w(d) be the first derivative of -d**4/18 - 8*d**3/27 + d**2/9 + 8*d/9 - 3. Factor w(r).
-2*(r - 1)*(r + 1)*(r + 4)/9
Let k = 860 + -860. Let m(a) be the first derivative of 0*a + 1/18*a**6 - 2/15*a**5 - 1 + 2/9*a**3 + k*a**4 - 1/6*a**2. What is r in m(r) = 0?
-1, 0, 1
Factor -22*a - 12*a**2 - 4*a**3 + 22*a.
-4*a**2*(a + 3)
Let v(r) = 3*r - 9. Let g be v(8). Suppose -g + 9 = -2*p. Factor -j**4 + 27*j**3 + 6*j + 16*j**4 + 94*j**2 - 73*j**2 + p*j**5.
3*j*(j + 1)**3*(j + 2)
Let l be (9 - 10) + (-30)/(-25). Factor 0 - 1/5*y**3 + 2/5*y - l*y**2.
-y*(y - 1)*(y + 2)/5
Let c = 152 - 147. Let t(q) be the third derivative of 0 + 0*q**4 + 0*q**3 + 1/210*q**c - 1/840*q**6 + 0*q - 5*q**2. Let t(s) = 0. Calculate s.
0, 2
Let k(t) be the second derivative of -t**5/40 + 23*t**4/72 + 2*t**3/9 - 665*t. What is u in k(u) = 0?
-1/3, 0, 8
Let r(a) = a**2 - 3. Let g be r(-2). Suppose s + g = 4. Suppose 4*o**4 + 7*o**s - 11 + 11*o**3 + 22*o**2 + 3 = 0. What is o?
-2, -1, 1/2
Let t(v) = -2*v**5 - v**4 + 2*v**4 + 5*v - 2*v + 2*v. Let b = 55 - 60. Let j(d) = -2*d**5 + 4*d. Let l(i) = b*j(i) + 4*t(i). Solve l(w) = 0.
-2, 0
Let v(g) be the first derivative of g**4 - 28*g**3/3 + 8*g**2 + 48*g - 54. Factor v(r).
4*(r - 6)*(r - 2)*(r + 1)
Let f(k) be the third derivative of k**6/1620 - k**5/90 + 4*k**3/3 - k**2 + 1. Let q(p) be the first derivative of f(p). Factor q(c).
2*c*(c - 6)/9
Let j = 3476 + -3472. Suppose 0*f**2 + 0*f + 2/7*f**j + 0 + 0*f**3 = 0. What is f?
0
Let i(w) = -5*w**2 - 174. Let v(f) = f**2 + 44. Let n(s) = -6*i(s) - 26*v(s). Factor n(c).
4*(c - 5)*(c + 5)
Let z(b) be the second derivative of -b**5/4 + 20*b**4/3 - 25*b**3/2 - 2*b - 47. Suppose z(a) = 0. What is a?
0, 1, 15
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