w**5/15 - 32*w**3/27 - 4*w - 11. Suppose n(g) = 0. Calculate g.
-4, 0, 2
Factor -b**2 + 194*b**3 + 9*b**2 - 192*b**3.
2*b**2*(b + 4)
Suppose -3*y + 3 = -0. Let z(o) = -o**3 - o - 1. Let n(g) = g**2 - g - 1. Suppose 10 = 12*a + 22. Let p(s) = a*n(s) + y*z(s). Suppose p(l) = 0. What is l?
-1, 0
Determine s so that -36/5 - 24*s + 21/5*s**2 = 0.
-2/7, 6
Let a(h) be the second derivative of h**6/135 + 7*h**5/90 + 8*h**4/27 + 4*h**3/9 - 69*h + 2. Factor a(z).
2*z*(z + 2)**2*(z + 3)/9
Let z(l) = -7*l - 4. Let t be z(-1). Find h, given that 55*h**2 + 5*h + 8*h + 20*h**t + 17*h - 5*h**4 = 0.
-1, 0, 6
Find i such that 576/7 - 2112/7*i - 348/7*i**4 - 352/7*i**3 - 36/7*i**5 + 2272/7*i**2 = 0.
-6, 2/3, 1
Let b(j) be the third derivative of -1/180*j**5 + 0*j**4 + 0 + 0*j**3 + 3*j**2 + 0*j. Factor b(x).
-x**2/3
Let b(c) be the second derivative of c**8/6720 - c**7/3360 - 11*c**3/6 + 10*c. Let p(t) be the second derivative of b(t). Find h such that p(h) = 0.
0, 1
Let j be 180/(-15) - (-175)/14. Factor h**2 + j*h + 0.
h*(2*h + 1)/2
Factor 9/4 + 15/8*v - 3/8*v**2.
-3*(v - 6)*(v + 1)/8
Let i be (-2)/(-4) - 12/8. Let h be -4 + (-3)/i + 3. Factor -4/5*r**4 + 4/5*r**h + 2/5*r**5 + 0*r**3 + 0 - 2/5*r.
2*r*(r - 1)**3*(r + 1)/5
Let b = -3/1571 - -25151/7855. Factor -b*z + 32/5 + 2/5*z**2.
2*(z - 4)**2/5
Let w(b) = -6*b**4 + 2*b**2 + 4*b + 8. Let i(k) = -10*k**4 + k**3 + 4*k**2 + 7*k + 14. Let x(s) = 4*i(s) - 7*w(s). Solve x(t) = 0.
-1, 0
Let u(c) be the third derivative of 0*c - 16*c**2 + 0 - 1/40*c**5 - 1/40*c**6 - 1/140*c**7 + 0*c**4 + 0*c**3. Factor u(k).
-3*k**2*(k + 1)**2/2
Suppose -12 - 12 = 2*d + 4*x, 4*d = 3*x + 7. Let q be d/(-7)*(-21)/(-5). Let 2/5*z**3 - 2/5 - 6/5*z**2 + q*z = 0. What is z?
1
Let y(b) be the second derivative of -b**7/5670 - b**6/405 + b**5/54 - 3*b**4/4 + 2*b. Let f(g) be the third derivative of y(g). Factor f(w).
-4*(w - 1)*(w + 5)/9
Find g such that -22/3*g - 20 - 2/3*g**2 = 0.
-6, -5
Factor -15/8*f**4 + 0*f + 3/8*f**5 + 0 - 3/2*f**2 + 3*f**3.
3*f**2*(f - 2)**2*(f - 1)/8
Let v(u) be the first derivative of -u**4/4 + 2*u**3/3 + u**2 + 3*u + 18. Let m be v(3). Factor 1/2*w**3 + 0*w + m + w**2.
w**2*(w + 2)/2
Let v = -16485 - -16489. Factor 1/4 + 1/4*y**v + 1/4*y**5 + 1/4*y - 1/2*y**2 - 1/2*y**3.
(y - 1)**2*(y + 1)**3/4
Let x be (-1 + 7/2)/(4/8). Let v be 3/(x/20*6). Factor 1/7*y + 0 - 1/7*y**v.
-y*(y - 1)/7
Let r(t) be the third derivative of t**6/300 + t**5/30 + t**4/30 - 8*t**3/15 - 80*t**2. Find g such that r(g) = 0.
-4, -2, 1
Let r(m) be the second derivative of -m**6/15 + 3*m**5/10 - m**4/6 - m**3 + 2*m**2 - 111*m. Let r(q) = 0. What is q?
-1, 1, 2
Factor -74/5*r**2 - 73/5*r + 1/5.
-(r + 1)*(74*r - 1)/5
Factor 0*j**3 + 3*j + j + 15 + j**3 - 15*j - 6*j + j**2.
(j - 3)*(j - 1)*(j + 5)
Let p(r) be the first derivative of -5*r**4/4 - 65*r**3/3 + 5*r**2/2 + 65*r + 301. Find i such that p(i) = 0.
-13, -1, 1
Let c(k) = -2*k**3 + 95*k**2 + 67*k - 10. Let l(b) = -46*b**2 - 34*b + 4. Let o(m) = -2*c(m) - 5*l(m). Solve o(s) = 0 for s.
-9, -1, 0
Let k(s) = 2*s**2 + 7*s + 8. Let w be k(-4). Let n be ((-18)/w)/(-1)*(-4)/(-10). Factor -1/5 - 3/5*a**2 - 1/5*a**3 - n*a.
-(a + 1)**3/5
Factor s**2 + 24*s + 2*s**2 - 4*s**2 - 3*s**2.
-4*s*(s - 6)
Let f(k) = -14*k**2 - 4*k - 14. Let m be (-2)/(-14) - (-380)/35. Let j = 19 - m. Let u(g) = 5*g**2 + g + 5. Let q(a) = j*u(a) + 3*f(a). Solve q(s) = 0 for s.
-1
Let n(x) be the first derivative of -8 - 23*x**3 + 0*x + 22*x**3 + 3*x**2 - 3*x + 0*x. Solve n(o) = 0.
1
Suppose 32*c + 20 = 37*c. Let k be (-1)/((-1)/c*(-21 + 23)). Factor 3*n**4 + 0*n + 4*n**3 + 0 + 4/3*n**k.
n**2*(3*n + 2)**2/3
Let t(l) be the second derivative of l**6/20 - 11*l**5/40 + l**4/2 - l**3/3 - 90*l. Find f such that t(f) = 0.
0, 2/3, 1, 2
Let n(z) be the third derivative of z**8/112 + z**7/7 - 5*z**6/4 + 4*z**5 - 55*z**4/8 + 7*z**3 - 76*z**2. Find p, given that n(p) = 0.
-14, 1
Let z(y) = y**3 + y**2 + y + 2. Let n be z(0). Suppose -5*j + 4 = -2*l, -2 = -38*j + 34*j + l. Factor 0*b**n + j*b + 4/11*b**4 + 0 - 2/11*b**5 - 2/11*b**3.
-2*b**3*(b - 1)**2/11
Let s(l) be the second derivative of l**10/317520 - l**8/23520 - l**7/13230 + l**4/2 - 8*l. Let i(x) be the third derivative of s(x). Factor i(q).
2*q**2*(q - 2)*(q + 1)**2/21
Let k be 1 + 1/(-15) + 24/36. Let o = 34/15 - k. Suppose o + 3*r + 7/3*r**2 = 0. What is r?
-1, -2/7
Let j = 4927/18 + -547/2. Let p = -83 - -85. Suppose 0 - 2/9*c**3 + 2/9*c + j*c**4 - 2/9*c**p = 0. Calculate c.
-1, 0, 1
Let l(p) be the third derivative of p**2 - 1/4*p**5 + 0 + 0*p - 5/24*p**4 + 5/3*p**3. Factor l(c).
-5*(c + 1)*(3*c - 2)
Let p(x) be the third derivative of 0 + 13/270*x**5 - 2*x**2 - 1/189*x**7 - 3*x + 5/54*x**4 + 1/1512*x**8 + 0*x**3 - 1/180*x**6. Let p(h) = 0. Calculate h.
-1, 0, 2, 5
Let t = -1632 + 8162/5. Let n = 2 + 2. Factor -t*f**2 + 0*f**3 + 0*f + 1/5*f**n + 1/5.
(f - 1)**2*(f + 1)**2/5
Suppose t - 3*t = -8, 0 = q - 5*t + 16. Let y(z) be the third derivative of 0 + 0*z + 0*z**4 - q*z**2 + 1/40*z**6 + 0*z**3 - 1/20*z**5. Factor y(u).
3*u**2*(u - 1)
Determine o, given that -103*o - 20*o**2 + 170*o - 119*o + 4*o**3 - 28 = 0.
-1, 7
Let h(n) be the third derivative of -1/300*n**6 + 1/25*n**5 - 4*n**2 + 8/15*n**3 + 0*n + 0 - 1/5*n**4. Let h(b) = 0. Calculate b.
2
Let w(b) = b**3 + b**2 + 3. Let p be w(0). Suppose -k - 4*y - 2 = 0, 5*y + p = 2*y. Determine d so that 0 + 0*d - 2/3*d**4 - 1/3*d**3 - 1/3*d**5 + 0*d**k = 0.
-1, 0
Let s(h) be the third derivative of -h**6/160 - 3*h**5/80 + h**3/2 - 30*h**2. Factor s(w).
-3*(w - 1)*(w + 2)**2/4
Let g(w) be the first derivative of 3*w**4/5 + 52*w**3/15 - 22*w**2/5 - 4*w - 67. Find b, given that g(b) = 0.
-5, -1/3, 1
Let g(b) be the first derivative of -b**8/420 - b**7/105 - b**6/90 + 6*b**3 + 37. Let v(i) be the third derivative of g(i). Solve v(u) = 0 for u.
-1, 0
Let x be (-4)/14 + (-96)/(-42) - -22. Determine v so that -x*v**3 - v - 9*v**5 - 8*v**2 - 24*v**4 + 6*v**3 - 4*v**3 = 0.
-1, -1/3, 0
Factor 3 - 9/4*s**2 + 3/4*s**3 + 0*s.
3*(s - 2)**2*(s + 1)/4
Let m(j) be the third derivative of -j**8/224 + j**7/140 + 3*j**6/80 - j**5/8 + j**4/8 - 148*j**2. Factor m(u).
-3*u*(u - 1)**3*(u + 2)/2
Let q(r) = 5*r - 53. Let p be q(12). Let c be (-17)/p + 3 - 102/(-42). Suppose 4/3*f**4 - 4/3*f**c - 14/3*f - 4/3 - 16/3*f**2 + 2/3*f**5 = 0. Calculate f.
-1, 2
Let q(n) be the third derivative of n**5/30 - n**4/6 - 8*n**3/3 - 51*n**2. Solve q(h) = 0 for h.
-2, 4
Let x(j) be the second derivative of -j**7/210 - j**6/45 + j**4/12 + 11*j**3/3 + 8*j - 1. Let q(o) be the third derivative of x(o). What is f in q(f) = 0?
-4/3, 0
Let d(z) be the second derivative of z**4/66 + 17*z**3/33 + 30*z**2/11 - 74*z. Find k, given that d(k) = 0.
-15, -2
Let s(q) be the third derivative of q**8/560 - q**6/200 - 100*q**2. Factor s(w).
3*w**3*(w - 1)*(w + 1)/5
Let n(v) be the first derivative of v**5/10 + 9*v**4/8 + 23*v**3/6 + 3*v**2/4 - 18*v + 348. Factor n(d).
(d - 1)*(d + 3)**2*(d + 4)/2
Let b(p) be the third derivative of p**5/80 - 3*p**4/32 - 25*p**2 + 1. Let b(k) = 0. What is k?
0, 3
Let h(g) be the second derivative of g**6/195 + 7*g**5/26 + 323*g**4/78 + 289*g**3/39 + 3*g + 1. Factor h(u).
2*u*(u + 1)*(u + 17)**2/13
Let u(k) be the second derivative of -k**7/420 + k**6/180 - 5*k**3/6 + 2*k. Let a(r) be the second derivative of u(r). Factor a(m).
-2*m**2*(m - 1)
Suppose -81*c**2 - 2*c**3 + 42*c - 279*c - 348*c - c**3 - 507 = 0. What is c?
-13, -1
Let q(u) be the second derivative of -2/3*u**3 + 0 - 3*u**2 + 14*u + 11/72*u**4 - 1/120*u**5. Factor q(w).
-(w - 6)**2*(w + 1)/6
Let r(u) be the third derivative of 1/150*u**5 - 1/5*u**4 + 0*u - 29*u**2 + 0 + 12/5*u**3. Factor r(t).
2*(t - 6)**2/5
Let t be 3*-1 - 1464/(-305). Factor t*f**3 - 6/5*f + 0 + 3*f**2.
3*f*(f + 2)*(3*f - 1)/5
Let i be (-1)/(-3) - 38077/(-90636). Let h = i - 2/581. Factor -3/4*o**2 + h*o**3 + 0 + 0*o.
3*o**2*(o - 1)/4
Let r = -52361/5 - -10483. Let -18/5*b**2 + r*b - 54/5 + 2/5*b**3 = 0. Calculate b.
3
Let g(p) = -2*p**3 + 39*p**2 - 19*p + 2. Let m be g(19). Suppose -3*v + 18 = -j + 3*j, -m*v + 27 = 3*j. Solve 9*d**3 - 4/3 + j*d**2 + 0*d = 0.
-2/3, 1/3
Let d(f) = 7*f**2 - 8*f + 7. Let b be (8 + 1)*3/9. Let x(c) = b*c - 1 - 4*c + 2*c - c**2. Let j(y) = d(y) + 6*x(y). What is l in j(l) = 0?
1
Let j(d) = -19*d - 18