*j**4 - 14*j**4 - 6*j**2 + 18*j**5 = 0.
-3, -1, -1/2, 0
Let u(o) be the second derivative of -o**6/10 + o**4/2 - 3*o**2/2 + 225*o. Find i, given that u(i) = 0.
-1, 1
Let c(h) = 16*h**3 - 24*h**2 + 28*h - 20. Suppose 14*g + 11 + 3 = 0. Let k(w) = w**3 - w**2 + w - 1. Let b(s) = g*c(s) + 20*k(s). Suppose b(n) = 0. What is n?
-2, 0, 1
Let p(t) be the second derivative of -32*t - 3/2*t**2 - 1/10*t**6 - 3/5*t**5 + 0 - 2*t**3 - 3/2*t**4. Let p(b) = 0. What is b?
-1
Suppose c + 4*k = -k + 2, -4*c - 77 = 3*k. Let j = c - -28. Factor -48*w**4 + 8*w**3 - 7*w**j + 0*w**5 - 4*w - 29*w**5 + 16*w**2.
-4*w*(w + 1)**2*(3*w - 1)**2
Let f(r) = 2*r**2 - 3*r. Let y(g) = 2*g**2 - 2*g. Let m be 11/4 + 2/8. Let v(b) = m*y(b) - 4*f(b). Find w such that v(w) = 0.
0, 3
Let y(n) be the second derivative of 13*n**6/10 - 21*n**5/5 + n**4 - 22*n - 3. Find o such that y(o) = 0.
0, 2/13, 2
Let q be ((-3)/(-20))/(-2 - (-28)/15). Let h = q - -43/24. Factor 6 - 4*l + h*l**2.
2*(l - 3)**2/3
Let t(s) = -11*s**3 + 7*s**2 - 7*s - 7. Let h(q) = 10*q**3 - 6*q**2 + 6*q + 6. Let u(i) = -7*h(i) - 6*t(i). Find f such that u(f) = 0.
0
Suppose 680943/5 + 3/5*g**4 - 552/5*g**3 + 34038/5*g**2 - 714432/5*g = 0. What is g?
1, 61
Let y(i) = i**3 + i**2 + 6. Let r(t) = 25*t**5 + 160*t**4 - 863*t**3 + 382*t**2 + 300*t + 12. Let p(m) = r(m) - 2*y(m). Suppose p(o) = 0. Calculate o.
-10, -2/5, 0, 1, 3
Let j(y) = 100*y**3 + 675*y**2 + 740*y + 55. Let l(o) = -11*o**3 - 75*o**2 - 82*o - 6. Let u(s) = -6*j(s) - 55*l(s). Solve u(n) = 0 for n.
-14, -1, 0
Let v = -1969/3 + 668. Let c(l) = 5*l**2 - 17*l - 7. Let b be c(4). Factor -6*n**2 + v*n**3 - 2/3 - b*n.
(n - 1)*(5*n + 1)*(7*n + 2)/3
Let k = 15/34 - 5487/68. Let a = 84 + k. Let -a*w**3 + 3/2*w**4 + 0 + 3*w**2 - 3/4*w = 0. Calculate w.
0, 1/2, 1
Let t(o) = o**3 - 4*o**2 + o + 13. Let g be t(3). Suppose -5*s + 24 = g*s. Determine v, given that -8/5 + 8/5*v - 2/5*v**s = 0.
2
Suppose 0 = 95*z - 117*z + 66. Let v(r) be the second derivative of 0 + 1/2*r**2 + 9*r + 1/12*r**4 - 1/3*r**z. Let v(m) = 0. What is m?
1
Suppose 0 = -15*o + 825 - 780. Let k(v) be the first derivative of -5 + 0*v - 1/5*v**5 + 1/4*v**4 + 0*v**2 + 0*v**o. Factor k(u).
-u**3*(u - 1)
Let c(k) be the third derivative of -k**5/15 + 14*k**4/3 - 392*k**3/3 + 21*k**2 - 2. What is i in c(i) = 0?
14
Let s(i) be the second derivative of 0 + 0*i**3 - 1/45*i**6 - 1/126*i**7 + 2*i + 0*i**2 + 1/12*i**5 + 1/6*i**4. Solve s(h) = 0.
-3, -1, 0, 2
Let s be ((-2)/(-10))/(219/1533). Solve -3/5 - v**2 - 1/5*v**3 - s*v = 0.
-3, -1
Find u, given that 32/7 + 20/7*u**3 - 4/7*u**5 + 8/7*u**4 - 16/7*u - 40/7*u**2 = 0.
-2, -1, 1, 2
Let b(d) be the first derivative of 0*d**2 - 1/6*d**3 - 5 + 1/12*d**4 + 5*d. Let y(o) be the first derivative of b(o). Let y(n) = 0. What is n?
0, 1
Let u(q) = -q**2 + 10*q - 12. Let w be u(9). Let k(j) = j + 5. Let z be k(w). Let 2/9*v + 8/9*v**z + 2/9*v**5 + 4/3*v**3 + 0 + 8/9*v**4 = 0. Calculate v.
-1, 0
Let h(f) be the second derivative of f**7/168 - 7*f**6/60 + 3*f**5/4 - 25*f**4/24 - 125*f**3/24 - 39*f. Factor h(g).
g*(g - 5)**3*(g + 1)/4
Suppose -171 + 51 = -10*z. Suppose -5*g + g = -z. Determine d, given that -5/4*d**5 + 3/4*d - 11/2*d**g - 1/2 + 9/2*d**4 + 2*d**2 = 0.
-2/5, 1
Let a be (115/(-150) + 2/3)/((-2)/8). Factor 2/5*b**4 - 2/5*b**2 - 2/5*b**5 + 0 + a*b**3 + 0*b.
-2*b**2*(b - 1)**2*(b + 1)/5
Let t be 16/2*18/36. Let l(r) be the second derivative of 1/3*r**t - 8*r + 0 - 2*r**2 + 5/3*r**3 - 1/2*r**5. Factor l(j).
-2*(j - 1)*(j + 1)*(5*j - 2)
Let a be 82/70 + (-80)/140. Let m(f) be the second derivative of -2*f**2 + 0 - 13/3*f**3 + a*f**6 - f - 23/6*f**4 - 3/10*f**5. Factor m(z).
2*(z - 2)*(z + 1)*(3*z + 1)**2
Let t(l) = 17*l**3 + 305*l**2 - 298*l. Let f(j) = -6*j**3 - 102*j**2 + 99*j. Let u(i) = -8*f(i) - 3*t(i). Factor u(q).
-3*q*(q - 1)*(q + 34)
Let l(k) be the second derivative of -65*k**4/12 - 35*k**3/2 - 20*k**2 + 69*k. Factor l(i).
-5*(i + 1)*(13*i + 8)
Let x = -38 - -18. Let h be 15/x - 23/(-4). Factor -2*d**4 + 4*d**h + 14*d**4 - 16*d**2 + 0*d**2.
4*d**2*(d - 1)*(d + 2)**2
Let t(x) be the second derivative of -x**7/231 - 17*x**6/165 - 53*x**5/55 - 145*x**4/33 - 325*x**3/33 - 125*x**2/11 + 50*x - 3. Solve t(g) = 0 for g.
-5, -1
Let o be (-24)/(-30)*(1 + -16). Let t = 17 + o. Determine x, given that 6*x + 27*x**2 - 13*x**4 + 13*x**4 - 27*x**4 - 12*x**t + 6*x**3 = 0.
-2, -1, -1/4, 0, 1
Let l(v) be the third derivative of v**7/525 + 2*v**6/75 + 13*v**5/150 + v**4/10 + v**2 - 87*v. Determine r so that l(r) = 0.
-6, -1, 0
Let b(j) = 2*j**5 - 18*j**4 + 60*j**3 - 99*j**2 + 26*j. Let q(m) = m**2 + 2*m. Let f(d) = -2*b(d) - 22*q(d). Factor f(z).
-4*z*(z - 3)*(z - 2)**3
Let h = 29 + -27. Suppose 4*l - 15 - 1 = 0. Let -1/6 + 1/6*z + 1/3*z**h - 1/6*z**l + 1/6*z**5 - 1/3*z**3 = 0. What is z?
-1, 1
Let s(r) = -6*r**3 + 20*r**2 - 32*r + 16. Let d be (-1)/(((-12)/(-10))/6). Let p(f) = -13*f**3 + 40*f**2 - 64*f + 32. Let h(j) = d*s(j) + 2*p(j). Factor h(k).
4*(k - 2)**2*(k - 1)
Let n = 3/784 - -7813/7056. Find c such that n*c**4 + 16/9*c - 2/9*c**5 + 0 - 4/3*c**3 - 8/9*c**2 = 0.
-1, 0, 2
Let x be ((-12)/(-9) - 2)*-6. Solve 9*h**2 + 6*h**3 + 6*h**2 - 7*h**3 - x*h**3 = 0.
0, 3
Let m(x) = 2*x**2 - 2*x - 6. Let u be m(-4). Let a = -23 + u. Determine o so that -6 + 9*o - a*o**2 - 7*o**2 + 15*o**2 = 0.
1, 2
Let l(g) = 9*g**2 + 1104*g - 38156. Let q(d) = d**2 + 138*d - 4769. Let a(y) = 6*l(y) - 51*q(y). Factor a(w).
3*(w - 69)**2
Suppose -4*a - 15 = 21. Let m be a/12*-2*2. Factor m*k**2 + 5*k + 2*k + 3 - k.
3*(k + 1)**2
Factor -5*d**2 - 36*d - 4*d - 35 + 0*d.
-5*(d + 1)*(d + 7)
Let t(f) = -5*f**3 - 26*f**2 - 49*f - 32. Let k(h) = h**3 + h**2 - h + 1. Let r(l) = 2*k(l) + t(l). Factor r(j).
-3*(j + 1)*(j + 2)*(j + 5)
Let o(h) = -3*h**3 - 6*h**2 - 4*h + 1. Let r = -28 - -29. Let p(c) be the third derivative of c**4/24 - c**3/6 + c**2. Let a(y) = r*p(y) + o(y). Factor a(i).
-3*i*(i + 1)**2
Let q(v) be the second derivative of -v**6/20 - 51*v**5/40 - 31*v**4/8 - 15*v**3/4 - 388*v. Factor q(s).
-3*s*(s + 1)**2*(s + 15)/2
Let f be (-15)/(-4)*(0 + -1 - 3). Let r(v) = 5*v**2 - 17*v + 4. Let h(w) = w. Let p(y) = f*h(y) - 3*r(y). Factor p(s).
-3*(s - 2)*(5*s - 2)
Let t = 10 + 7. Suppose -t = -5*v - 4*i, 4*i + 3 = -v - 0. What is y in 2 + 2 - 12*y + 5*y - 2*y**2 + v*y = 0?
-2, 1
Factor -190*k - 2*k**4 - 150*k**2 - 48 - 26*k**3 - 52 + 36*k**2.
-2*(k + 1)*(k + 2)*(k + 5)**2
What is g in -320*g + 40*g**2 + 320*g - 3*g**3 + 8*g**3 = 0?
-8, 0
Factor 2208/5*c - 1058/5*c**2 - 1152/5.
-2*(23*c - 24)**2/5
Let d(j) be the third derivative of -j**6/420 - j**5/35 - 5*j**4/84 - 38*j**2. What is f in d(f) = 0?
-5, -1, 0
Let w(v) be the second derivative of 4*v**7/63 - 2*v**6/45 - 22*v**5/15 + 47*v**4/9 - 68*v**3/9 + 16*v**2/3 - v + 25. Find u, given that w(u) = 0.
-4, 1/2, 1, 2
Let u(c) be the first derivative of -c**2/2 + 2*c + 13. Let q(i) = -2*i**2 + 18*i - 100. Let f(n) = 2*q(n) - 28*u(n). Factor f(j).
-4*(j - 8)**2
Let t(r) = -10*r - 3*r**2 - 9*r + 2*r - 14. Let v(l) = 3*l**2 + 18*l + 15. Let f(q) = 6*t(q) + 5*v(q). Determine p so that f(p) = 0.
-3, -1
Let x(j) be the second derivative of -12*j + 0 + 1/30*j**6 + 0*j**4 - 1/84*j**7 + 0*j**3 + 0*j**2 - 1/40*j**5. Determine r, given that x(r) = 0.
0, 1
Find c, given that 0*c - 16/9*c**2 + 2/9*c**4 + 4/9*c**3 + 0 = 0.
-4, 0, 2
Let j(d) be the second derivative of -d**7/21 + d**6/5 + 9*d**5/10 + 5*d**4/6 - 480*d. Factor j(o).
-2*o**2*(o - 5)*(o + 1)**2
Let w = -348 - -351. Let j(r) be the first derivative of 0*r**2 + 3 - 4*r + r**w - 1/4*r**4. Factor j(z).
-(z - 2)**2*(z + 1)
Let i(r) be the second derivative of -r**8/6720 + r**7/3360 + r**6/720 - r**3/3 - 5*r. Let s(j) be the second derivative of i(j). What is l in s(l) = 0?
-1, 0, 2
Let n(j) = -j**3 - 45*j**2 - 452*j - 404. Let h(x) = x**3 + 46*x**2 + 455*x + 405. Let u(c) = -4*h(c) - 5*n(c). Find m such that u(m) = 0.
-20, -1
Let j be ((-10)/12)/(4/(-24)). Suppose -j*m + 10 + 0 = 0. Suppose w**3 - 1/2*w**5 + 7/2*w - w**4 + 4*w**m + 1 = 0. Calculate w.
-1, 2
Let r = 247/5 - 49. Suppose 0*b = 2*b - 22*b + 60. What is g in 0 - 3/5*g**2 - 1/5*g**b - r*g = 0?
-2, -1, 0
Let z(q) be the first derivative of 2*q**5/55 - 15*q**4/22 + 32*q**3/11 + 64*q**2/11 - 390. Factor z(k).
2*k*(k - 8)**2*(k + 1)/11
What is p in 9