olve 46*b**2 - 59*b - 96 - 68 - 44*b**2 + 221*b = 0 for b.
-82, 1
Let d(f) = -2*f**3 - 14*f**2 - f - 5. Let n be d(-7). Let l(v) be the second derivative of -3*v + 6*v**n - 5/2*v**3 + 1/4*v**4 + 0. Let l(k) = 0. Calculate k.
1, 4
Let i be 832/672 - 16/28. Determine x so that -4/3*x**2 - i*x**3 + 2/3*x + 4/3 = 0.
-2, -1, 1
Let s be (-262782)/(-432355) + 2/(-55). Factor -s*t**3 - 8/7*t**2 + 16/7*t + 0 + 2/7*t**4.
2*t*(t - 2)**2*(t + 2)/7
Find k, given that -4*k - 14*k**3 + k**3 - 12*k**2 + 23*k**4 - 46*k**4 - k**5 + 17*k**4 = 0.
-2, -1, 0
Let s(g) = -5*g**3 - 7*g**2 + 41*g + 43. Let f(h) = -9*h**3 - 15*h**2 + 81*h + 87. Let z(b) = 6*f(b) - 11*s(b). Find j such that z(j) = 0.
-1, 7
Let w(n) = -3*n**4 + 2*n**3 + 2*n**2 - 2*n + 1. Let g(j) = -16*j**4 + 11*j**3 + 10*j**2 - 11*j + 6. Let b(o) = -2*g(o) + 11*w(o). Let b(a) = 0. What is a?
-1, 1
Suppose 15*s - 17*s + 44 = -4*j, 20 = -2*j. Factor -3/7*n**s - 9/7*n + 0.
-3*n*(n + 3)/7
Let g(y) = -y**2 - 19*y + 21. Let s be g(-20). Factor -2*v**5 - 4*v**4 + 193*v**3 + s - 1 - 195*v**3.
-2*v**3*(v + 1)**2
Suppose 5*j = -3*n + 54, -3*j + 3*n + 54 = j. Determine s so that 6 - 5*s**2 - 2*s + j*s - 6 = 0.
0, 2
Find v, given that -32/9*v - 26/3 - 2/9*v**2 = 0.
-13, -3
Let q = 1 + 0. Let h be 4*((-3)/(-6))/q. What is k in 30*k**2 - 6*k - 64*k**2 + 32*k**h = 0?
-3, 0
Let y = 57 + -52. Let f(j) be the first derivative of 6 - 1/6*j**6 - 2*j**4 + 0*j + 0*j**2 - j**y - 4/3*j**3. Solve f(h) = 0 for h.
-2, -1, 0
Suppose -10*n + 6 = -4*n. Let a(f) = -8*f**5 + 12*f**3 - 8*f + 4. Let v(c) = -c**5 + c**3 - c + 1. Let x(b) = n*a(b) - 4*v(b). Solve x(i) = 0 for i.
-1, 0, 1
Let r be (-1)/3*-1*18. Let p be (-4 + 2)*-1 + r/(-4). Factor 1/4*j**2 + p + 3/4*j.
(j + 1)*(j + 2)/4
Let i = -13744/7 - -1964. Factor -12/7*q - i*q**2 + 0.
-4*q*(q + 3)/7
Let z(c) be the third derivative of c**5/270 - 65*c**4/54 + 4225*c**3/27 + 105*c**2. Solve z(m) = 0.
65
Let n(l) be the second derivative of l**5/4 - 265*l**4/4 + 14045*l**3/2 - 744385*l**2/2 - 314*l. Factor n(p).
5*(p - 53)**3
Suppose -3*t + 9 - 3 = 0. Suppose -16 = -5*d + 2*y, 5*y + 25 = t*d + 3*d. Solve -3*b**3 + b + 13*b**2 - 4*b - 19*b**d = 0.
-1, 0
Let o = -37 + 41. Suppose 1 = g - 2. Factor 0*n**3 - n**2 + 0*n**g + o*n**3 + 0*n**2.
n**2*(4*n - 1)
Let o(w) = -32*w - 11. Let i be o(-1). Let s(z) = 2*z**3 - 42*z**2 + 2. Let q be s(i). Factor 1/4*f**q - 1/4*f + 0.
f*(f - 1)/4
Let n = 682 - 2044/3. Factor -20/3*r**3 + 2/3 + 10/3*r**4 - 10/3*r - n*r**5 + 20/3*r**2.
-2*(r - 1)**5/3
Factor 52/9 + 58/9*j**3 + 2/9*j**4 + 158/9*j + 18*j**2.
2*(j + 1)**3*(j + 26)/9
Suppose 0 = 31*r - 252 + 4. Let v(c) be the first derivative of c**3 + 0*c + r + 3/2*c**2. Factor v(p).
3*p*(p + 1)
What is b in -2*b**2 + 14*b - 11*b + 12*b - 13*b + 24*b + 96 = 0?
-3, 16
Let o(y) be the third derivative of y**8/2688 + y**7/420 - y**6/960 - y**5/120 - 71*y**2. Factor o(h).
h**2*(h - 1)*(h + 1)*(h + 4)/8
Let o be (-7)/((-1050)/22940) - (-1)/(-3). Let b = o - 151. Find w such that -4/5*w - 4/5*w**2 + b = 0.
-2, 1
Let c(t) = t**3 - 3*t**2 - 3*t - 4. Let f be c(4). Suppose 24 = -f*b + 8*b. Determine i, given that 0 - 2/5*i + 0*i**2 + 2/5*i**b = 0.
-1, 0, 1
Let w(x) be the first derivative of 5*x**4/4 - 55*x**3/3 + 70*x**2 + 412. Find t, given that w(t) = 0.
0, 4, 7
Suppose 5*f = -3*c + 2*c - 50, 5*c + 298 = -f. Let w be c/(-36)*6/2. Find l, given that l**3 - 2*l**3 - 2*l**4 + 0*l**4 - 2*l**2 + w*l**3 = 0.
0, 1
Let u(f) be the second derivative of -f**7/9 - 19*f**6/45 + 2*f**5/3 + 40*f**4/9 + 32*f**3/9 - 16*f**2/3 - 185*f + 2. What is y in u(y) = 0?
-2, -1, 2/7, 2
Let z(h) be the second derivative of -5/2*h**3 + 2/5*h**6 - 3/4*h**4 - 8*h - 3/2*h**2 + 0 + 3/4*h**5. Determine u, given that z(u) = 0.
-1, -1/4, 1
Let i = -36 - -38. Factor 3 - 11 + 12*q - 27*q**i + 23*q**2.
-4*(q - 2)*(q - 1)
Let c(y) = -11*y**2 - 90*y + 54. Let g(m) = -12*m**2 - 87*m + 54. Let x(p) = 6*c(p) - 5*g(p). Factor x(j).
-3*(j + 18)*(2*j - 1)
Let u(y) = -6*y**2 + 32*y - 31. Let o(x) = x**2 - x + 1. Let t(z) = 15*o(z) + 3*u(z). Factor t(m).
-3*(m - 26)*(m - 1)
Let z(h) be the second derivative of 1/12*h**4 + 0 + 4*h**2 - 8*h + h**3. Factor z(c).
(c + 2)*(c + 4)
Let z(m) be the third derivative of 0*m + 1/60*m**5 + 0 + 10*m**2 + 1/3*m**3 + 1/8*m**4. Solve z(a) = 0 for a.
-2, -1
Factor 144/5*p - 1/5*p**4 + 0 - 8/5*p**3 + 12/5*p**2.
-p*(p - 4)*(p + 6)**2/5
Let g(z) be the second derivative of 0 + 38*z - 5/84*z**4 + 0*z**2 - 3/140*z**5 - 1/21*z**3. Factor g(i).
-i*(i + 1)*(3*i + 2)/7
Let s(r) be the third derivative of r**6/120 - 7*r**5/12 + 323*r**4/24 - 289*r**3/6 + 103*r**2. Suppose s(o) = 0. Calculate o.
1, 17
Let c be (-2)/(-4)*-2*-18. Let n = c - 14. Solve 2 - n - 3*k + 0*k - k**2 = 0.
-2, -1
Suppose 12 = 5*v + 2. Factor l**3 + 42*l + 49*l + l**v - 91*l.
l**2*(l + 1)
Let x(c) be the first derivative of -2*c**3/3 - 10*c - 26. Let v(j) = j**2 + 1. Let t(f) = -6*v(f) - x(f). Determine d, given that t(d) = 0.
-1, 1
Suppose 0 = -20*b + 22*b - h - 7, 0 = -b - 2*h + 6. Let a(k) be the second derivative of 1/3*k**b + 0*k**2 + 4/3*k**3 - 8*k + 0. Find l such that a(l) = 0.
-2, 0
Suppose 0 - 15/4*r - 1/4*r**2 = 0. Calculate r.
-15, 0
Let n(d) = -d**2 + 8*d - 6. Let p be n(6). Suppose -8 = -4*m + 2*r - r, 3*m - p = -r. Factor 0*x**2 - 5*x**m + 3*x**2 + 2*x.
-2*x*(x - 1)
Let r(y) = -2*y - 13 + 4 + 1. Let c be r(-5). Solve 0*k - c + 4*k + k**2 - 3*k - 2*k = 0.
-1, 2
Let g(u) = -u**3 + 4*u**2 + 3*u + 13. Let a be g(5). Let t(o) be the first derivative of 0*o**2 - 3/8*o**4 - a + 0*o - o**3. Find x, given that t(x) = 0.
-2, 0
Factor 0*s + 1/5*s**2 + 0.
s**2/5
Let p be 1 - ((-2)/(-3))/(16/(-24)). Let k be ((-5)/(12 - p))/(14/(-24)). Let -k*v + 4/7 - 10/7*v**2 = 0. Calculate v.
-1, 2/5
Let j(r) be the second derivative of 11*r + 2/51*r**3 + 0*r**2 - 5/357*r**7 + 0 - 7/255*r**6 + 7/102*r**4 + 3/170*r**5. Find f, given that j(f) = 0.
-1, -2/5, 0, 1
Let z(o) = 6*o**3 + 5*o**2 - 25*o - 7. Let t(k) = -3*k**3 - 2*k**2 + 13*k + 4. Let i(q) = -7*t(q) - 4*z(q). Let i(u) = 0. Calculate u.
-3, 0, 1
Let x(c) be the second derivative of -c**8/3360 + c**7/1260 + c**6/90 - c**5/15 + 25*c**4/12 + 3*c. Let t(b) be the third derivative of x(b). Factor t(y).
-2*(y - 2)*(y - 1)*(y + 2)
Let j be (1 + 5/(-35))/(-16 - 970/(-60)). Find y, given that -j + 3/7*y**3 - 24/7*y + 3/7*y**2 = 0.
-2, 3
Let h(j) be the third derivative of -j**6/72 + j**5/12 - 2*j**3/3 + 4*j**2. Let s(r) be the first derivative of h(r). Let s(l) = 0. Calculate l.
0, 2
Let l(y) be the second derivative of -y**5/5 + 29*y**4/18 - 19*y**3/9 - 4*y**2/3 - 394*y. Factor l(w).
-2*(w - 4)*(w - 1)*(6*w + 1)/3
Let k be ((-3)/(-7))/(3 - 80/28). Let 33 - 4*w**2 - 33 - 18*w**k = 0. Calculate w.
-2/9, 0
Factor -294/5 + 36/5*g**2 - 3/5*g**3 - 63/5*g.
-3*(g - 7)**2*(g + 2)/5
Let w(s) be the second derivative of -8*s**6/15 - 34*s**5/5 + 79*s**4/12 + 32*s**3/3 + 9*s**2/2 - 435*s. Find q such that w(q) = 0.
-9, -1/4, 1
Let p(k) be the third derivative of -1/30*k**3 + 0*k - 8*k**2 - 1/300*k**5 + 1/60*k**4 + 0. What is d in p(d) = 0?
1
Let b be (13 - (7 - 1)) + -1 + -1. Let a(t) be the first derivative of -3/5*t**b - 9/4*t**4 + 0*t + 5*t**3 - 10 + 1/2*t**6 - 3*t**2. Factor a(o).
3*o*(o - 1)**3*(o + 2)
Let x(a) = 8*a**4 + a**3 + 17*a**2 - 4*a + 7. Let h(d) = 4*d**4 - d**3 + 9*d**2 - 2*d + 4. Let w(v) = -7*h(v) + 4*x(v). Suppose w(s) = 0. Calculate s.
-2, -1, 0, 1/4
Let v(y) be the third derivative of y**5/60 + y**4/4 + 25*y**2 - y. Determine c, given that v(c) = 0.
-6, 0
Suppose 0 = 5603*s - 5602*s - 3. Factor 2744*g - 9604 - 1/4*g**4 + 14*g**s - 294*g**2.
-(g - 14)**4/4
Let n(g) = g**2 - 7*g - 2. Let a(l) = -2*l**2 + 20*l + 7. Let j = 910 + -908. Suppose -8 = -z - 1. Let w(t) = j*a(t) + z*n(t). Factor w(r).
3*r*(r - 3)
Let c(b) = -15*b + 6. Let m(o) = -o**2 - 30*o + 10. Let r(i) = -7*c(i) + 3*m(i). Solve r(d) = 0.
1, 4
Let l(a) = 6*a**2 - 8*a - 4 - 4*a**3 + 0*a + 11 - 7*a**4. Let b(j) = -15*j**4 - 9*j**3 + 13*j**2 - 17*j + 15. Let c(k) = 6*b(k) - 13*l(k). Factor c(m).
(m - 1)**3*(m + 1)
Solve -144*r + 16*r**5 - 180*r**4 - 174*r**3 + 68*r**3 + 248*r**3 + 480*r**2 + 286*r**3 = 0.
-1, 0, 1/4, 6
Suppose -m + 4 = -g, -g - 8 = -5*m + 3*m. Suppose 5*f - 5*h = m*f - 21, f = -4*h + 24. Factor -24*a**3 - 20 + 74 + f*a**4 - 38 - 48*a + 52*a**2