4 - 1/420*y**7 + 1/40*y**5 + 0*y + 0*y**3 + 0. Determine g, given that v(g) = 0.
-2, 0, 1
Let n(r) = -r**2 + 89*r - 1736. Let v be n(29). Factor 2/3*j**2 + 2/3*j**3 + 2/9*j**v + 0 + 2/9*j.
2*j*(j + 1)**3/9
Suppose 85 - 85 = 106*j. Determine l, given that 1/3*l**4 + j*l**2 - 1/3 - 2/3*l**3 + 2/3*l = 0.
-1, 1
Let -1/6*w**3 - 21/2 - 17/2*w - 13/6*w**2 = 0. Calculate w.
-7, -3
Let s be (17250/(-12075))/(0 + (-16)/42). Solve 3/4*a**3 - 15/4 + s*a**2 - 3/4*a = 0 for a.
-5, -1, 1
Suppose -36 = 3*f - 7*f. Let n be 3/(-4 + f/2). Factor -32 + 3*r**3 + 14*r**2 + 10*r - r**3 + n*r.
2*(r - 1)*(r + 4)**2
Factor -2*w**2 - 8/5*w + 24/5.
-2*(w + 2)*(5*w - 6)/5
Let q(k) = -2*k**2 + 19*k - 21. Let w be q(8). Suppose 0 = -0*i + w*i. Factor 12/7 - 3/7*g**2 + i*g.
-3*(g - 2)*(g + 2)/7
Factor -12*r**3 + 21695*r**2 + 2*r**4 - 3*r**4 - 21682*r**2.
-r**2*(r - 1)*(r + 13)
Suppose -162 = -8*g - 106. Let t(i) be the second derivative of 0*i**4 + 0 + 6*i + 0*i**6 - 1/210*i**g + 0*i**2 - 1/30*i**3 + 1/50*i**5. Factor t(u).
-u*(u - 1)**2*(u + 1)**2/5
Let z be 1 - ((-40)/15 + (-11 - -13)). Find q, given that -4/3*q**3 + z*q**2 - 1 + 2/3*q = 0.
-3/4, 1
Let b = 2311/2 + -1153. Find t such that -15/2*t**2 - b*t**3 + 10 + 0*t = 0.
-2, 1
Let s(k) = -k**4 - k**2 - 1. Let v(g) = 11*g**5 + 18*g**4 - 75*g**3 - 152*g**2 - 92*g - 7. Let r(h) = -5*s(h) - v(h). Let r(i) = 0. Calculate i.
-2, -1, -2/11, 3
Let p = 138 + -134. Let k(t) be the third derivative of 0 + 1/270*t**5 - 2*t**2 + 0*t**p + 0*t**6 + 0*t - 1/945*t**7 + 0*t**3. Suppose k(a) = 0. Calculate a.
-1, 0, 1
Solve -22/7*s**3 + 0*s + 0 + 60/7*s**2 + 2/7*s**4 = 0.
0, 5, 6
Let 59*c**3 - 57*c**3 + 100*c + 57*c**2 - 27*c**2 = 0. Calculate c.
-10, -5, 0
Let u = 100 - 95. Let b(v) be the first derivative of -5/3*v**6 + 0*v**3 + 0*v**2 + v**4 - 5 - 6/5*v**u + 0*v. Factor b(r).
-2*r**3*(r + 1)*(5*r - 2)
Let f = -16 + 24. Factor -4 - f + 4*j**2 + 276*j - 284*j.
4*(j - 3)*(j + 1)
Let h(k) = 6*k**2 + 4*k - 6. Let y be h(3). Let d be 3*5/(y/8). Let 1/4*l + 1/2*l**d - 1/2*l**4 + 0*l**3 + 0 - 1/4*l**5 = 0. Calculate l.
-1, 0, 1
Suppose -5*y + 15 = 5. Let d = -1/22 - -71/110. Solve 0*g - d*g**y + 12/5 = 0 for g.
-2, 2
Let z(h) be the first derivative of 3/2*h**2 - 3/4*h**4 + 3/5*h**5 - h**3 + 0*h + 1. Factor z(s).
3*s*(s - 1)**2*(s + 1)
Let r(z) be the first derivative of -z**6/4 + 4*z**5/5 + 23*z**4/8 - 4*z**3 - 5*z**2 + 8*z - 83. Let r(v) = 0. Calculate v.
-2, -1, 2/3, 1, 4
Let h(w) be the first derivative of -6*w**3/5 - 542*w**2/5 - 48*w + 633. Solve h(x) = 0.
-60, -2/9
Suppose -51 = g + 5*o, -5*o + 4*o - 147 = 4*g. Let h = -27 - g. Determine a, given that -a**2 + h - 1 + 8*a**2 - 3*a**2 + 12*a = 0.
-2, -1
Let s(v) be the first derivative of -33*v**5 + 43*v**3 - 25/2*v**6 + 36*v + 243/4*v**4 - 84*v**2 + 12. Solve s(p) = 0 for p.
-3, -1, 2/5, 1
Let r(s) be the third derivative of -2*s**2 + 11/70*s**7 + 0*s**4 - 1/8*s**6 - 1/28*s**8 + 0*s + 0 - 1/10*s**5 + 0*s**3. Find d, given that r(d) = 0.
-1/4, 0, 1, 2
Let h = -5272/5 + 1056. Solve 6/5 - 4/5*i**2 - 8/5*i**3 - 2/5*i**4 + h*i = 0.
-3, -1, 1
Let q(b) be the third derivative of 2*b**3 + 3/20*b**6 + 13/20*b**5 + 0*b + 1/70*b**7 + 7*b**2 + 0 + 3/2*b**4. Factor q(a).
3*(a + 1)**2*(a + 2)**2
Let i be (-1)/(5/6 + -1). Let s(n) be the first derivative of -2/3*n**3 - 4 - 18*n + i*n**2. Factor s(g).
-2*(g - 3)**2
Suppose -10*c + 1633 = -1207. Let v = c + -282. Solve 3/4*y**v + 3/2*y + 0 - 3/4*y**3 = 0 for y.
-1, 0, 2
Factor 2/9*p**2 + 0 - 10/9*p.
2*p*(p - 5)/9
Let o(r) be the second derivative of 27*r**6/5 - 3*r**5/5 + r**4/54 + 113*r. Factor o(n).
2*n**2*(27*n - 1)**2/9
Let w(y) = -y**3 - 8*y**2 - 6*y - 5. Let k be w(-7). Let u be (-52)/k - 4/(-6). Determine r so that 11*r + 4*r + 6 - u*r - r + 3*r**2 = 0.
-2, -1
Let l be 18/(-135) + (-527)/(-15). Factor -1 + 33*k**2 + 9 - 6*k - l*k**2.
-2*(k - 1)*(k + 4)
Let k(p) be the third derivative of p**8/20160 + p**7/1260 + p**6/180 - 11*p**5/20 + 34*p**2. Let s(c) be the third derivative of k(c). Factor s(t).
(t + 2)**2
Let o = 451 + -445. Let g(c) be the third derivative of o*c**2 + 0*c**3 + 0 - 1/210*c**5 - 1/84*c**4 + 0*c. Let g(y) = 0. Calculate y.
-1, 0
Let m(o) be the second derivative of -o**4/20 - o**3/5 + 3*o + 9. Factor m(b).
-3*b*(b + 2)/5
Factor -5/3*o**3 + 0*o + 0 - 610/3*o**2.
-5*o**2*(o + 122)/3
Let w(x) = -15*x**2 - 45*x + 5. Suppose -s = 0, 0*s = v + s + 5. Let r(y) = 7*y**2 + 22*y - 2. Let j(l) = v*r(l) - 2*w(l). Factor j(h).
-5*h*(h + 4)
Let r(f) = -10*f**4 + 20*f**3 - 5*f - 5. Let j(n) = 5*n**4 - 10*n**3 + 3*n + 3. Let g be (-2*6/(-4))/(1 - 0). Let u(x) = g*r(x) + 5*j(x). Factor u(l).
-5*l**3*(l - 2)
Let r(c) = -14*c**3 + 109*c**2 - 14*c + 12. Let q(d) = 85*d**3 - 650*d**2 + 85*d - 70. Let t(w) = 6*q(w) + 35*r(w). Factor t(z).
5*z*(z - 4)*(4*z - 1)
Let y be (-15)/60 + (-77)/(-92). Let q = y + -2/23. Determine p so that 0*p - 1/2*p**5 - 1/2*p**2 + q*p**4 + 0 + 1/2*p**3 = 0.
-1, 0, 1
Let z(f) be the second derivative of -1/20*f**4 + f - 1/300*f**6 - 1/15*f**3 - 3/2*f**2 + 0 - 1/50*f**5. Let b(g) be the first derivative of z(g). Factor b(w).
-2*(w + 1)**3/5
Let w(m) be the first derivative of 2*m**5 - 3*m**4/2 - 8*m**3 - 4*m**2 - 194. Factor w(u).
2*u*(u - 2)*(u + 1)*(5*u + 2)
Solve -1/7*f**3 + 19/7*f + 0 - 18/7*f**2 = 0 for f.
-19, 0, 1
Suppose 8/7*f + 2/7*f**2 + 8/7 = 0. Calculate f.
-2
Let z(x) be the third derivative of -x**6/720 - x**5/120 - x**4/48 - x**3/36 + 71*x**2. Let z(h) = 0. Calculate h.
-1
Let y = 19 - 10. Suppose 239 = 6*m - 103. Let -m - 15*z + 52 - y*z**2 - z**2 = 0. Calculate z.
-1, -1/2
Let t(a) be the third derivative of 0*a + 0*a**3 + 0 + 1/30*a**5 + 7*a**2 - 1/12*a**4. Find j, given that t(j) = 0.
0, 1
Determine s so that 3/5*s**5 - 18/5*s**3 + 54/5 + 84/5*s**2 + 27*s - 18/5*s**4 = 0.
-1, 3, 6
Let n = -21 + 29. Let v(r) = -7*r**3 - 3*r. Let p(i) = 5*i + i**2 + 11*i**3 - i**2. Let h(j) = n*v(j) + 5*p(j). Factor h(w).
-w*(w - 1)*(w + 1)
Let r be (-44)/((-2068)/(-141)) - (-242)/14. Solve -12/7*n**4 - r*n**3 - 64/7*n - 32*n**2 + 0 = 0.
-4, -1/3, 0
Let x(f) be the second derivative of f**5/30 + 19*f**4/18 + 80*f**3/9 - 100*f**2/3 + 2*f - 21. Factor x(l).
2*(l - 1)*(l + 10)**2/3
Factor -18818*o**4 - 1358*o**3 + 1720*o + 3338*o**2 + 18980*o**4 + 200 - 190*o**3.
2*(o - 5)**2*(9*o + 2)**2
Let r(g) be the second derivative of -10/3*g**4 + 0 + 40*g**2 + 6*g**5 + 3/2*g**6 + 5*g - 80/3*g**3. Determine k so that r(k) = 0.
-2, 2/3
Let n(j) be the third derivative of 3*j + 0 - 3/2*j**3 + 1/20*j**5 - 1/4*j**4 + 3*j**2. Find f, given that n(f) = 0.
-1, 3
Let d(o) be the third derivative of o**6/45 + 98*o**5/45 + 193*o**4/36 + 16*o**3/3 + 34*o**2. Factor d(a).
2*(a + 48)*(2*a + 1)**2/3
Let i(d) be the second derivative of d**6/12 - 63*d**5/40 - 31*d**4/24 + 21*d**3/4 + 13*d**2/2 - 177*d. What is f in i(f) = 0?
-1, -2/5, 1, 13
Let w(a) = 10*a**3 - 20*a**2 + 15*a + 5. Let h(r) = r**3 - r + 1. Let v(j) = 5*h(j) - w(j). Factor v(t).
-5*t*(t - 2)**2
Let w(k) be the first derivative of 5 - 2/13*k - 4/13*k**2 + 2/13*k**4 - 2/13*k**5 + 4/13*k**3. What is h in w(h) = 0?
-1, -1/5, 1
Determine d, given that 4*d + 2*d - d - 120*d**4 + d + 48*d**5 + 27*d**3 + 39*d**2 + 0*d = 0.
-1/4, 0, 1, 2
Let d(m) be the first derivative of m**4/4 + 2*m**3/3 - m**2/2 - 2*m - 63. Find z, given that d(z) = 0.
-2, -1, 1
Let c(v) be the first derivative of -10/3*v**3 + 5/4*v**4 - 5/2*v**2 - 12 + 10*v. Let c(h) = 0. What is h?
-1, 1, 2
Suppose h = 8 - 2. Factor 5*o**2 - 4 + h*o**2 + 10*o - 5*o**2.
2*(o + 2)*(3*o - 1)
Let h(s) be the second derivative of -s**6/240 + 9*s**5/160 + s**4/96 - 3*s**3/16 + 285*s. Factor h(i).
-i*(i - 9)*(i - 1)*(i + 1)/8
Let v(l) = l**2 - 6*l + 7. Let w be v(5). Let j(u) be the first derivative of -3/14*u**4 + w - 10/21*u**3 + 2/7*u**2 + 0*u. Factor j(r).
-2*r*(r + 2)*(3*r - 1)/7
Let y = 3/260 + 14/195. Let s(o) be the second derivative of y*o**4 - 1/6*o**3 + 0 + 5*o - o**2. Factor s(m).
(m - 2)*(m + 1)
Let u be -6*(1/(-2) + 0). Let y be 5/(-5) - 3 - -4. Factor 6 + k**2 + y*k**2 - u*k**2 - 14 + 8*k.
-2*(k - 2)**2
Let l(x) be the first derivative of x**3 - 36*x**2 + 132*x + 222. Factor l(p).
3*(p - 22)*(p - 2)
Let n(r) be the first derivative of 35*r**4/12 + 40*r**3/3 + 10*r**2 + 25*r - 45. Let l(m) be the first derivative of n(m). Solve 