1/3*g**3 - 1/3*g**5 = 0. Calculate g.
0, 1, 5
Let j(c) = -16*c + 42. Let z(r) = 5*r - 14. Let h(o) = 2*j(o) + 7*z(o). Let p be h(6). Find l, given that l**p - 4*l**4 - l**2 + 4*l**4 = 0.
-1, 0, 1
Determine h, given that 5/4*h**2 + 5/4*h + 0 = 0.
-1, 0
Let s(i) be the second derivative of i**5/50 - 127*i**4/10 + 16129*i**3/5 - 2048383*i**2/5 + 26*i - 4. Suppose s(k) = 0. Calculate k.
127
What is o in -45 + 39/2*o - 3/2*o**2 = 0?
3, 10
Suppose -7*o = -2*o - 25. Factor 0*d + 8*d**3 - 1 + 8 - o + 12*d**2 + 2*d**4 + 8*d.
2*(d + 1)**4
Let n(r) = -r**3 + 17*r**2 - 16*r + 5. Let q be n(16). Suppose 4*l - 8 = 2*m, -q*l + 17 = 4*m - 2*l. Determine w, given that 2/3*w + 1/3*w**m + 1/3 = 0.
-1
Suppose 10 = f - 5*y, 6*f - 2*f + 3*y = -6. Solve -21*o - 24*o**2 - 3*o**3 - 6 - 6*o**3 + f*o**3 = 0 for o.
-1, -2/3
Suppose -11*i + 15*i + 4*m - 8 = 0, -3*i - m = -2. Solve 2/11*u**4 + 0*u**2 + 2/11*u**3 + i + 0*u = 0.
-1, 0
Let v(w) be the first derivative of -2*w**6 - 66*w**5/5 - 21*w**4/4 + 35*w**3/2 + 39*w**2/2 + 15*w/2 - 475. Let v(p) = 0. What is p?
-5, -1/2, 1
Let -136/23*f - 22/23*f**3 + 100/23*f**2 + 48/23 = 0. Calculate f.
6/11, 2
Suppose 4*w + 6 = -2*c, 20*w = 22*w - c - 3. Let t be 4/(-14) - (-2)/7. Factor -2/3*x**2 + t*x + w.
-2*x**2/3
Let x(h) be the first derivative of -16*h**3 - 7*h - 236*h - 108*h**2 - 23 + 3 - 5. Factor x(c).
-3*(4*c + 9)**2
Let b(u) be the second derivative of -6*u**3 - 21*u - 1/4*u**4 + 0 + 39/2*u**2. Factor b(d).
-3*(d - 1)*(d + 13)
Let p = 16191 + -16189. Solve -3/2*q**5 + p*q - 3/2*q**3 + 0 - 5*q**4 + 6*q**2 = 0.
-2, -1/3, 0, 1
Let w(k) = 3*k**2 - 8*k - 20. Let b be w(5). Suppose -5*m + 0*m = -b. Factor 3/2*d**2 + 3/2*d + 1/2 + 1/2*d**m.
(d + 1)**3/2
Let l(r) = 4 + 15 - 5 - 2*r. Let s be l(7). Factor s*m**5 - 3*m**4 - 3 + 6*m**2 - m**5 - 3*m + 6*m**3 - 2*m**5.
-3*(m - 1)**2*(m + 1)**3
Let g(i) = -2*i**3 - 10*i**2 - 2*i - 7. Let k be g(-5). Find u, given that -6*u**k - 12 + 9*u**2 + 12*u - 40*u**4 + 73*u**4 - 36*u**4 = 0.
-2, 1
Suppose 4*n + 0*p - p = 145, 0 = 4*n + 4*p - 160. Let v be n/7 - 18/63. Factor h**5 - 5*h**2 + 4*h**4 - 2*h**3 + h**v + h**2 + 0*h**4.
2*h**2*(h - 1)*(h + 1)*(h + 2)
Solve 8/21*g**4 - 2/7*g + 2/7*g**3 - 10/21*g**2 + 2/21 = 0.
-1, 1/4, 1
Factor -7/2*g**2 + 1/2*g**3 - 5/2 + 11/2*g.
(g - 5)*(g - 1)**2/2
Let t be ((-102)/(-85))/((-27)/(-15)). Solve 4 + t*v**2 - 10/3*v = 0.
2, 3
Suppose 0 = -2*o + h - 5*h + 14, -4*o - 4*h = -36. Suppose 6*f = o + 151. Factor -10 + 52 + 48*i - f*i**2 - 30.
-3*(i - 2)*(9*i + 2)
Let w(k) = -2*k**2 + 12*k + 5. Let i(y) = y**2 + 5*y - 1. Let b be i(-6). Let o(r) = 3*r**2 - 24*r - 9. Let x(p) = b*o(p) + 9*w(p). What is m in x(m) = 0?
-4, 0
Let k be (2 + (0 - -34))*2/4. Suppose -11*q = -20*q + k. Factor 4/3*g**3 + 0*g + 4/3*g**q + 0.
4*g**2*(g + 1)/3
Let p = -8/149 + 636/745. Factor -1/5*k**2 + 12/5 - p*k.
-(k - 2)*(k + 6)/5
Let j(r) be the first derivative of -4*r**2 + 8 + 8/3*r + 3/2*r**4 - 22/15*r**5 + 14/9*r**3 + 1/3*r**6. Let j(g) = 0. What is g?
-1, 2/3, 1, 2
Let a(j) be the first derivative of j**7/210 + j**6/180 - j**5/60 - j**4/36 + 13*j**2/2 - 1. Let h(m) be the second derivative of a(m). Factor h(d).
d*(d - 1)*(d + 1)*(3*d + 2)/3
Suppose -2*b - 72 = -4*b. Factor 2*y**3 + 12*y + 64 + 12*y**2 + b*y + 0*y**3 - y**3.
(y + 4)**3
Let a be (115/35 - -1)/(6/21). Let f be 45/30 - a/12. Let 1/4*m**3 + f*m**2 - 1/4*m - 1/4 = 0. Calculate m.
-1, 1
Suppose -5408/7 - 208/7*v - 2/7*v**2 = 0. Calculate v.
-52
Let c(a) be the first derivative of a**7/42 - a**6/10 + 3*a**5/20 - a**4/12 - 14*a - 13. Let w(l) be the first derivative of c(l). Factor w(g).
g**2*(g - 1)**3
Let f(s) be the third derivative of s**8/2016 + s**7/252 + s**6/80 + 7*s**5/360 + s**4/72 - 96*s**2. Factor f(n).
n*(n + 1)**3*(n + 2)/6
Factor 0 - 12/7*j**2 - 18/7*j - 2/7*j**3.
-2*j*(j + 3)**2/7
Let j be 1/4 - (-90)/600. Let b = 2/33 - -188/165. Solve -j*m**3 - 4/5 + b*m + 0*m**2 = 0.
-2, 1
Suppose -14*t = -9*t - 150. Suppose 3*m + 3*r - t = 0, -34 = -5*m + 2*r + 51. Find p such that -9/2 + 9*p**3 - 3/2*p**4 + m*p - 18*p**2 = 0.
1, 3
Let y(w) = -w**2 - 4*w + 47. Let j be y(5). Suppose j*a = -4*c, 2*c - 2 = 2*a - 14. Determine o so that -a - 2*o - 1/4*o**2 = 0.
-4
Let a(q) be the third derivative of 1/12*q**4 + 1/30*q**5 + 0 - 21*q**2 + 0*q - 2*q**3. Suppose a(g) = 0. What is g?
-3, 2
Let w(x) = 2*x + 23. Let a(c) = -3*c - 34. Let o(r) = -5*a(r) - 7*w(r). Let j be o(-6). Determine g, given that -3*g**2 + 7/3*g**j - 4*g + 4/3 = 0.
-1, 2/7, 2
Let c(l) be the first derivative of -10 - 72*l**2 + 1296*l + 4/3*l**3. Factor c(r).
4*(r - 18)**2
Let m = 66501/7 + -9500. Suppose 0 - m*i**5 + 0*i**4 + 1/7*i**3 + 0*i + 0*i**2 = 0. Calculate i.
-1, 0, 1
Let q = 38 + -33. Let a be (-2)/8 - q/(-20). Factor -d**2 + a + 1/2*d**3 + 1/2*d.
d*(d - 1)**2/2
Let c(h) be the first derivative of h**4/42 - h**2/7 - 10*h + 2. Let a(r) be the first derivative of c(r). Factor a(z).
2*(z - 1)*(z + 1)/7
Let j(q) be the first derivative of 3*q**5/20 - q**4/4 - q**3/2 + 3*q**2/2 - 42*q + 12. Let k(y) be the first derivative of j(y). Suppose k(v) = 0. What is v?
-1, 1
Let c be (-17)/(-39) + 26 + 2010/(-78). Find j such that 2*j**3 + 0 + c*j**2 + 2*j**4 + 0*j + 2/3*j**5 = 0.
-1, 0
Let a(o) = -o**3 - o + 1. Let t(l) = -11*l**3 + 245*l**2 - 246*l + 6. Let p(n) = -6*a(n) + t(n). Suppose p(f) = 0. What is f?
0, 1, 48
Let n(p) be the second derivative of 2*p**4/3 - 9*p**3/2 + 29*p**2/2 + 11*p. Let x(b) = -b**2 - 1. Let c(g) = n(g) + 5*x(g). Determine z, given that c(z) = 0.
1, 8
Let j(w) be the third derivative of -w**8/112 + w**7/10 - 7*w**6/20 + w**5/10 + 15*w**4/8 - 9*w**3/2 + 6*w**2 + 4*w. Suppose j(x) = 0. Calculate x.
-1, 1, 3
Factor 19*u**4 - 64*u**4 + 183*u**2 - 203*u**2 - 93*u**3 - 7*u**3.
-5*u**2*(u + 2)*(9*u + 2)
Let c = -702 - -704. Let h(w) be the second derivative of 9/2*w**c + 0 + 1/4*w**4 + 2*w - 2*w**3. Factor h(v).
3*(v - 3)*(v - 1)
Let r = 35 - 29. Suppose 0 = m + r*m - m. Find j such that -3/5*j**3 + 0 + m*j + 3/5*j**2 + 3/5*j**5 - 3/5*j**4 = 0.
-1, 0, 1
Let z be (((-210)/(-63))/((-20)/(-24)))/26. Factor 18/13*d**2 + z*d**3 + 32/13 + 48/13*d.
2*(d + 1)*(d + 4)**2/13
Let s(t) be the second derivative of -9*t + 5/12*t**4 + 0*t**2 + 0 + 5/6*t**3. Determine q, given that s(q) = 0.
-1, 0
Let i(x) be the third derivative of x**7/5040 + x**6/1080 - x**5/720 - x**4/72 - x**3/6 + 10*x**2. Let z(y) be the first derivative of i(y). Factor z(n).
(n - 1)*(n + 1)*(n + 2)/6
Let g be (-20)/18 + 440/330. Factor -g*s**5 + 2/9*s**3 + 0 - 2/9*s**4 + 2/9*s**2 + 0*s.
-2*s**2*(s - 1)*(s + 1)**2/9
Suppose 26/3*i - 2/9*i**2 + 0 = 0. What is i?
0, 39
Let y(x) be the first derivative of -x**6/36 + 7*x**5/30 - 3*x**4/4 + 10*x**3/9 - 2*x**2/3 + 61. Factor y(m).
-m*(m - 2)**3*(m - 1)/6
Let a(s) be the second derivative of -s**4/6 + 8*s**3/3 + 9*s**2 - 40*s + 1. Let a(v) = 0. What is v?
-1, 9
Let g(q) be the first derivative of -1/2*q**2 + 6 + 0*q - q**3 - 1/5*q**5 - 3/4*q**4. Solve g(s) = 0.
-1, 0
Let m(l) = 9*l**4 - 32*l**3 + 28*l**2 + 25*l - 30. Let i(x) = 4*x**4 - 16*x**3 + 14*x**2 + 13*x - 15. Let s(d) = 7*i(d) - 3*m(d). What is b in s(b) = 0?
-1, 1, 15
Let s(i) be the third derivative of 13*i**5/45 - 8*i**4/9 - 15*i**2. What is h in s(h) = 0?
0, 16/13
Let w be (8 + 208)/(3 - -2). Let z(a) be the first derivative of w*a**2 - 72/5*a**3 + 9 - 324/5*a - 4/25*a**5 + 12/5*a**4. Find c such that z(c) = 0.
3
Let f(z) = -z**2 + 2*z - 1. Let r(k) = 14*k**3 - 30*k**2 + 4*k - 6. Let l(g) = 6*f(g) - r(g). Determine i, given that l(i) = 0.
-2/7, 0, 2
Let t = -664/3 + 4654/21. Solve 1/7*f**3 + 0 - 3/7*f + t*f**2 = 0.
-3, 0, 1
Let n(u) be the third derivative of -u**6/780 + u**5/78 - 2*u**4/39 + 4*u**3/39 - 17*u**2. Suppose n(f) = 0. Calculate f.
1, 2
Let n(y) = -5*y + 2. Let d be (3/2 - (-24)/16) + -3. Let l be n(d). Factor 1/2*w**3 + 0 + 0*w**l - 1/2*w.
w*(w - 1)*(w + 1)/2
Let k = 257/1928 - 2/241. Let o(d) be the first derivative of 0*d - 2 - k*d**2 + 1/12*d**3. Find n, given that o(n) = 0.
0, 1
Let k(i) be the second derivative of i**6/180 - i**5/30 + i**4/24 - 43*i. Suppose k(b) = 0. Calculate b.
0, 1, 3
Let k(q) be the first derivative of -4*q**3/3 - 24*q**2 - 44*q - 100. Suppose k(s) = 0. Calculate s.
-11, -1
Let g(f) be the first derivative of -f**4/16 - f**3/12 + 2*f**2