**5 - t*f**3 + f**5 + 45*f**4 - 57*f**4 - 6*f**2 = 0 for f.
-2, -1, 0
Let r = 7830 - 7828. Determine h, given that -6 + 99/7*h - 48/7*h**r - 9/7*h**3 = 0.
-7, 2/3, 1
Suppose -3*o = -2*w - 4*o + 9, 12 = 3*w + o. Let u = 5 - w. Determine b, given that 4*b + b**u + 0*b + b**3 - 3*b**3 + b**2 = 0.
-1, 0, 2
Let m(a) be the second derivative of -2*a**7/21 - 2*a**6/5 + 2*a**5 + 20*a**4/3 - 16*a**3 - 64*a**2 + 16*a. Let m(x) = 0. What is x?
-4, -2, -1, 2
Let p be ((-96)/(-972))/((-4)/(-6)). Let s(f) be the second derivative of 0 + 6*f - p*f**3 + 1/54*f**4 + 4/9*f**2. Suppose s(g) = 0. What is g?
2
Let n(b) be the second derivative of b**7/168 - 7*b**6/120 + 11*b**5/80 - 5*b**4/48 - b + 6. Find p such that n(p) = 0.
0, 1, 5
Find k such that 1/2*k**4 + 9*k**3 + 121/2*k**2 + 200 + 180*k = 0.
-5, -4
Factor -18*x**4 + 53*x**4 - 10*x**3 + 2*x - 30*x**4 + 6*x**2 - 11*x**2 + 8*x.
5*x*(x - 2)*(x - 1)*(x + 1)
Let v(a) = -13*a**2 + 18*a - 8. Let o(i) = -37*i**2 + 50*i - 24. Let c(u) = 6*o(u) - 17*v(u). Factor c(x).
-(x + 2)*(x + 4)
Let t(d) be the first derivative of -d**3 - 45*d**2/2 - 132*d - 72. Solve t(y) = 0.
-11, -4
Let a be 0 + ((-48)/(-4))/4. Solve 383*u**5 - 380*u**5 + u**a + 0*u**4 - u**4 - 4*u**3 + u**2 = 0 for u.
-1, 0, 1/3, 1
Let a(c) = 114*c**4 + 213*c**3 + 120*c**2 + 12*c - 9. Let x(j) = -28*j**4 - 53*j**3 - 30*j**2 - 3*j + 2. Let h(l) = -2*a(l) - 9*x(l). Factor h(w).
3*w*(w + 1)**2*(8*w + 1)
Let n = 10/207 + 3616/2277. Factor -n + 12/11*u - 2/11*u**2.
-2*(u - 3)**2/11
Let h(t) be the second derivative of 0 + 1/60*t**4 - 1/30*t**3 + 0*t**2 - 4*t. Factor h(f).
f*(f - 1)/5
Let s(v) = -8*v**2 + 98*v + 74. Let d(c) = 3*c**2 - 34*c - 25. Let b(l) = -14*d(l) - 5*s(l). Find o, given that b(o) = 0.
-5, -2
Let m(r) be the second derivative of 25/12*r**4 + 35*r + 0 - 15*r**3 - 20*r**2. Factor m(b).
5*(b - 4)*(5*b + 2)
Let t(n) be the second derivative of -n**9/1512 - n**8/420 - n**7/1260 + n**6/180 + n**4/6 + 2*n. Let q(f) be the third derivative of t(f). Factor q(y).
-2*y*(y + 1)**2*(5*y - 2)
Let i = 19 - 9. Let n be 6/(2 - -4) + (-6)/i. Find p such that 6/5*p**2 - n + 4/5*p = 0.
-1, 1/3
Let u(z) be the first derivative of -3*z**4/4 - 4*z**3 + 9*z**2/2 + 54*z - 54. Factor u(j).
-3*(j - 2)*(j + 3)**2
Let n be (357/(-343) - -1)/(-5 + 276/56). Let n*v + 3/7 + 1/7*v**2 = 0. What is v?
-3, -1
Let k(i) be the third derivative of 0*i - i**3 - 1/6*i**4 - 1/90*i**5 + 0 - 13*i**2. Factor k(j).
-2*(j + 3)**2/3
Let t(r) be the second derivative of -r**6/6 + r**5/4 + 5*r**4/12 - 5*r**3/6 - 2*r + 2. Find i such that t(i) = 0.
-1, 0, 1
Suppose 3*y = y + 30. Suppose 5*x + 0 = y. Let -12*o**x + 8*o**2 + 0*o**5 + 4*o**5 + 12*o**3 - 8*o**4 - 4*o = 0. Calculate o.
-1, 0, 1
Let p(k) be the first derivative of k**2/2 + 5*k - 59. Let m be p(-5). Solve 0 + m*l + 0*l**2 + 1/2*l**3 = 0.
0
Suppose 62/9 + 56/9*w - 2/3*w**2 = 0. What is w?
-1, 31/3
Let y(k) = -25*k**3 - 55*k**2 - 20*k. Let o(n) = -157*n + 86*n + 78*n + 18*n**2 + 8*n**3. Let s(i) = 10*o(i) + 3*y(i). Find z, given that s(z) = 0.
-2, -1, 0
Suppose -5*o**4 - 32*o + 90 - 48*o**2 - 44*o**2 - 63*o + 7*o**2 + 95*o**3 = 0. What is o?
-1, 1, 18
Determine a, given that 310*a**3 - a - 108 - 53*a - 308*a**3 = 0.
-3, 6
Let q(b) = -b**3 + 39*b**2 - 80*b**2 + 51*b**2 - b + 12. Let r be q(10). Factor 0*c - 3/4*c**4 + 3/4*c**3 + 0*c**r + 0.
-3*c**3*(c - 1)/4
Suppose -4*q - 2 = -18. Let r be (-6 - -7)/(2/q). Factor -3*o**r - 2*o - 4*o**4 + 3*o**4 - 2*o**2 + 2*o**3 + 6*o**2.
-o*(o - 2)*(o - 1)*(o + 1)
Let j = 2117/987 + -2/987. Let t = 1335 + -9342/7. Factor -27/7*b**2 - t - j*b - 3*b**3 - 6/7*b**4.
-3*(b + 1)**3*(2*b + 1)/7
Let z(m) be the second derivative of m**4/3 + 16*m**3/3 + 30*m**2 - 2*m + 113. Factor z(h).
4*(h + 3)*(h + 5)
Let t(u) = -4*u**4 - 115*u**3 + 1673*u**2 - 3024*u + 1455. Let o(x) = -2*x**4 - 114*x**3 + 1674*x**2 - 3024*x + 1456. Let q(w) = 6*o(w) - 4*t(w). Factor q(c).
4*(c - 27)**2*(c - 1)**2
Suppose 4*f - 5*h - 19 = 0, -4*h + 28 = -f + 5*f. Suppose -n = -f + 3. Determine k so that -154/13*k**2 - 8/13 - 72/13*k + 162/13*k**4 + 72/13*k**n = 0.
-1, -2/9, 1
Let j be 1890/(-1134) - (-14)/3. Factor 24/7 + 32/7*b**2 - 4/7*b**j - 52/7*b.
-4*(b - 6)*(b - 1)**2/7
Let s = 68526/5 + -13702. Factor 1/5*l**3 + s*l + 7/5*l**2 + 12/5.
(l + 2)**2*(l + 3)/5
Let d(f) be the third derivative of f**5/15 - f**4/12 + f**3 - 6*f**2. Let n(s) = -7*s**2 + 3*s - 11. Let j(l) = 11*d(l) + 6*n(l). Factor j(c).
2*c*(c - 2)
Let a = 181/1256 + -3/157. Let b(y) be the second derivative of a*y**4 + 6*y + 0 + 3/8*y**3 + 3/8*y**2. Factor b(d).
3*(d + 1)*(2*d + 1)/4
Let p(i) be the third derivative of i**5/30 - i**4/4 - 40*i**2. Solve p(x) = 0 for x.
0, 3
Let v be ((-18)/(-21) - 1)/((-430)/301). What is g in v*g**4 + 1/10 + 0*g**3 + 0*g - 1/5*g**2 = 0?
-1, 1
Let u = -1035 - -13457/13. Factor 0 + 2/13*a**5 + 0*a - u*a**2 + 2/13*a**4 - 2/13*a**3.
2*a**2*(a - 1)*(a + 1)**2/13
Suppose -5*u**2 + 11/2*u - 1/6*u**3 + 31/3 = 0. What is u?
-31, -1, 2
Let m(s) be the second derivative of 2*s**7/147 + 8*s**6/35 + 8*s**5/35 - 34*s**4/21 - 6*s**3/7 + 44*s**2/7 + 457*s. Find a, given that m(a) = 0.
-11, -2, -1, 1
Let y(f) = f**4 + f**3 - f - 2. Let q(j) = -4*j**4 + 22*j**3 + 24*j**2 - 22*j - 14. Let w(n) = -q(n) - 6*y(n). Factor w(i).
-2*(i - 1)*(i + 1)**2*(i + 13)
Factor -26/5*i - 1/5*i**2 + 27/5.
-(i - 1)*(i + 27)/5
Suppose -5*g + 21 - 1 = 0. What is i in 75*i**2 + 101*i**4 + 10*i + 44*i**g + 126*i**3 + 0*i**4 + 39*i**3 + 45*i**5 = 0?
-1, -2/9, 0
Let a(k) be the third derivative of -k**6/360 + 4*k**5/15 + 405*k**2. Determine z so that a(z) = 0.
0, 48
Let -156/5 + 76/5*v**2 - 2/5*v**3 + 82/5*v = 0. Calculate v.
-2, 1, 39
Let w be (-78)/(-45) - (-25)/((-375)/6). Factor -4/3*l**4 + 0 + 0*l + w*l**3 + 8/3*l**2.
-4*l**2*(l - 2)*(l + 1)/3
Suppose -h + 7 = 5*p, 0 = 2*h - 0*h + 6. Factor -2*r**2 - 31*r - 9*r + 6*r**p + 80 + r**2.
5*(r - 4)**2
Factor -9*w**2 + 305*w**4 - 3*w - 612*w**4 + 304*w**4 - 9*w**3.
-3*w*(w + 1)**3
Let b(z) be the second derivative of z**6/6 + 17*z**5/4 + 155*z**4/12 + 25*z**3/2 + z + 37. Factor b(m).
5*m*(m + 1)**2*(m + 15)
Suppose 4*d = -11 + 27. Let l(p) be the third derivative of 0*p + 0 + 0*p**d + 0*p**6 - 1/420*p**7 - p**2 + 1/15*p**5 - 4/3*p**3. Factor l(w).
-(w - 2)**2*(w + 2)**2/2
Let o(l) be the first derivative of -l**6/2 + 6*l**5 - 27*l**4 + 58*l**3 - 129*l**2/2 + 36*l + 434. Find y such that o(y) = 0.
1, 3, 4
Let b be 36/(-14)*(-2)/(-45)*-21. Let s(w) be the first derivative of -b*w + 2 - 6/5*w**2 - 1/5*w**3. Suppose s(n) = 0. What is n?
-2
What is h in 6/7*h - 20/7*h**2 + 20/7*h**4 + 0 + 8/7*h**3 - 2*h**5 = 0?
-1, 0, 3/7, 1
Let d be (-62)/(-10) - (-4)/(-20). Let v be (-210)/(-66) + (-8)/44. What is b in d*b**3 + b + 4 - 3*b**v + 13*b**3 - 13*b = 0?
-1, 1/2
Let l = -78/7 - -787/70. Let b(p) be the second derivative of 7*p + 0*p**4 + l*p**6 + 0 + p**3 - 3/10*p**5 - 3/2*p**2. Let b(q) = 0. Calculate q.
-1, 1
Suppose 4*w = 2*t - 4 + 2, 0 = -t + 3*w + 1. Let s(n) = -n**2 - n - 1. Let u(z) = 3*z**2 + 3*z - 2. Let f(p) = t*u(p) - 2*s(p). Factor f(o).
5*o*(o + 1)
Let m = 500 - 495. Let 2/7*i**3 - 2/7 + i + 2/7*i**4 - 1/7*i**m - 8/7*i**2 = 0. Calculate i.
-2, 1
Let -1/3*f**3 - 11/3*f - 2 - 2*f**2 = 0. Calculate f.
-3, -2, -1
Let k(x) = -2*x**4 - x**2 - x + 1. Let f(h) = -37*h**4 - 260*h**3 - 331*h**2 - 96*h + 6. Let c(t) = f(t) - 6*k(t). Find s such that c(s) = 0.
-9, -1, -2/5, 0
Solve 0 - 1/4*f**4 - 25/4*f + 9/4*f**3 - 15/4*f**2 = 0.
-1, 0, 5
Let t(k) be the first derivative of -k**3 + 18*k**2 - 60*k - 40. Factor t(b).
-3*(b - 10)*(b - 2)
Let x(b) be the second derivative of b**5/40 + 11*b**4/12 - 130*b. Factor x(v).
v**2*(v + 22)/2
Let y(h) be the first derivative of 4*h**3/3 + 9*h**2/2 - 13*h - 25. Let p(q) = 2*q**2 + 4*q - 6. Let l(b) = 5*p(b) - 2*y(b). Factor l(m).
2*(m - 1)*(m + 2)
Let n(z) be the first derivative of 4*z**3/3 + 22*z**2 + 72*z - 25. Let n(v) = 0. What is v?
-9, -2
Let o(d) be the second derivative of 0*d**4 + 1/2*d**3 + d**2 - 1/20*d**5 + 0 + 9*d. Find w, given that o(w) = 0.
-1, 2
Factor -2/7*c + 4/7*c**3 - 2/7*c**2 + 0.
2*c*(c - 1)*(2*c + 1)/7
Let o = 16660/11 + -1514. Suppose -o*y**4 + 18/11*y + 18/11*y**2 - 2/11*y**3 + 4/11 = 0. Calculate y.
-1, -1/3, 2
Let v(o) be the second derivative of -o**6/75 + 2*o**5/25 + o*