l**3 + 1484*l**2 - 800*l + 87. Let a(g) = 98*g**3 - 742*g**2 + 400*g - 46. Let q(h) = -5*a(h) - 2*w(h). What is j in q(j) = 0?
2/7, 7
Let s(l) be the second derivative of -10*l + 1/6*l**6 + 0*l**5 + 0 - 5/6*l**4 + 0*l**3 + 5/2*l**2. Factor s(f).
5*(f - 1)**2*(f + 1)**2
Let f(m) be the third derivative of m**9/3780 + m**8/1680 - m**7/315 - m**4 - 2*m**2. Let d(g) be the second derivative of f(g). Factor d(x).
4*x**2*(x - 1)*(x + 2)
Let u be -6*(24/9 + -3). Factor -3*k**2 + 15*k**4 - 12*k**4 + 0*k**u.
3*k**2*(k - 1)*(k + 1)
Let p(x) be the third derivative of x**5/420 + x**4/21 + 8*x**3/21 - x**2 + 4*x. Factor p(w).
(w + 4)**2/7
Suppose -1 = -4*g - 5*p, -5*g + p - 17 = -10*g. Let 52/9*l**2 + 36*l**g + 112/9*l + 16/9 - 56*l**3 = 0. What is l?
-2/9, 1
Let m = 767/5 - 153. Let q(d) be the first derivative of -m*d - 8/5*d**4 + 7/5*d**2 - 2 - 16/15*d**3. Factor q(h).
-2*(h + 1)*(4*h - 1)**2/5
Let z(b) be the third derivative of -3*b**2 + b**3 + 0 + 1/6*b**4 - 1/30*b**5 + 0*b. Find p such that z(p) = 0.
-1, 3
Let s(g) = g**3 - 95*g**2 + 4*g - 380. Let l be s(95). Find j, given that -1/2*j**3 + l - 81/2*j - 9*j**2 = 0.
-9, 0
Let y(h) be the second derivative of h**6/1260 + h**5/420 + h**3/2 + 2*h. Let t(o) be the second derivative of y(o). Suppose t(b) = 0. Calculate b.
-1, 0
Let x(y) be the third derivative of y**8/10080 + y**7/5040 - y**3/6 + 3*y**2. Let h(p) be the first derivative of x(p). Factor h(l).
l**3*(l + 1)/6
Let f(i) be the second derivative of -2/3*i**3 + 0*i**2 + 0 - 1/5*i**5 + 2/3*i**4 + 30*i. Suppose f(u) = 0. What is u?
0, 1
Find h such that -1/4*h**4 + 5/2*h**3 - 29/4*h**2 + 8*h - 3 = 0.
1, 2, 6
Let u(j) be the third derivative of -3/10*j**6 + 0*j**3 - 4/5*j**5 + 0*j + 11*j**2 - 2/3*j**4 + 0. Factor u(a).
-4*a*(3*a + 2)**2
Let l(a) be the second derivative of -7*a**6/10 + 393*a**5/20 + 45*a**4/4 - 131*a**3/2 - 57*a**2 + a + 104. Suppose l(i) = 0. Calculate i.
-1, -2/7, 1, 19
Let k(d) be the third derivative of -d**5/140 + d**4/28 + 3*d**3/14 - 34*d**2 - d. Factor k(j).
-3*(j - 3)*(j + 1)/7
Let y(o) be the second derivative of -5*o**4/27 + 14*o**3/27 + 4*o**2/3 - o + 33. Factor y(w).
-4*(w - 2)*(5*w + 3)/9
Factor 75/7*i - 162/7 + 3/7*i**2.
3*(i - 2)*(i + 27)/7
Let f be ((-6)/7 - 800/700) + 76/5. Determine q, given that 51/5*q + 12/5 + f*q**3 + 84/5*q**2 + 24/5*q**4 + 3/5*q**5 = 0.
-4, -1
Factor o**5 + 13*o**3 + 776 + 14*o**4 - 776 + 0*o**5.
o**3*(o + 1)*(o + 13)
Let w = -1897/15 - -634/5. Factor -w*f**2 - 49/3 - 14/3*f.
-(f + 7)**2/3
Let q(n) be the second derivative of 3*n**4/2 + 1091*n**3/3 + 242*n**2 + 112*n. Factor q(u).
2*(u + 121)*(9*u + 2)
Let b(d) be the second derivative of -2*d**3 - 1/4*d**4 + 0 - 9/2*d**2 + d. Suppose b(g) = 0. What is g?
-3, -1
Suppose -18*y + 5423 = 5369. Factor 0 - 8/5*c**2 - 6/5*c - 2/5*c**y.
-2*c*(c + 1)*(c + 3)/5
Let n(t) be the second derivative of -2*t**6/5 + 7*t**5/9 - t**4/3 + 9*t**2 - 48*t. Let o(r) be the first derivative of n(r). Factor o(y).
-4*y*(4*y - 3)*(9*y - 2)/3
Let y(w) be the second derivative of -w**4/18 - 8*w**3/9 + 3*w**2 + 41*w. Factor y(o).
-2*(o - 1)*(o + 9)/3
Suppose -53*c = -7*c. Let i(d) be the second derivative of 2*d + 1/8*d**2 + c + 1/6*d**3 + 1/12*d**4. Factor i(t).
(2*t + 1)**2/4
Let b(d) be the second derivative of 0*d**3 + 0 - 1/20*d**5 - 1/4*d**4 + 2*d**2 - 12*d. Determine j so that b(j) = 0.
-2, 1
Let l(r) = r**3 - 3*r**2 + 6*r - 6. Let q be l(2). Let c be (q - 10)/2*1/(-20). What is z in -6/5*z**2 - 4/5*z**3 - 1/5 - c*z**4 - 4/5*z = 0?
-1
Let s = 17072/35 + -2436/5. Find r such that s*r + 8/7*r**3 + 2/7*r**4 + 0 + 10/7*r**2 = 0.
-2, -1, 0
Let o(q) be the third derivative of -q**9/3024 + q**7/280 + q**6/180 + 2*q**3/3 + 12*q**2. Let b(j) be the first derivative of o(j). Factor b(g).
-g**2*(g - 2)*(g + 1)**2
Let y(j) = j**2 + 25*j + 163. Let z be y(-12). Let r(m) be the second derivative of 1/4*m**4 + 3/2*m**3 - z*m + 3*m**2 + 0. Find x, given that r(x) = 0.
-2, -1
Solve 24*d**2 + 57*d**3 - 15*d**3 + d**4 + 2*d**5 - 16*d**3 + 7*d + d + 11*d**4 = 0 for d.
-2, -1, 0
Let c be -9 + 14 - 10/5. Find k such that -2/9*k**4 - 2/3*k**c + 0*k**2 + 0*k + 0 = 0.
-3, 0
Let t(w) be the first derivative of 2*w**3/39 + 4*w**2 + 104*w - 93. Find f, given that t(f) = 0.
-26
Let a(r) be the third derivative of r**5/72 + 355*r**4/36 + 25205*r**3/9 + r**2 - 25*r. Factor a(d).
5*(d + 142)**2/6
Let r = -1/273 + 187/1365. Let b be (2770/(-4986))/(25/(-6)). Suppose b*c**3 - 2/15*c**5 + 0 + 2/15*c**2 + 0*c - r*c**4 = 0. What is c?
-1, 0, 1
Let v be 4/30 - (5 - 614/120). Solve 5/4*b**2 + v*b**5 - 3/4*b**3 - 1/4*b**4 + 0 - 1/2*b = 0.
-2, 0, 1
Let v(g) be the second derivative of -g**6/6 + 6*g**5 - 90*g**4 + 720*g**3 - 3240*g**2 - 6*g + 12. Solve v(x) = 0 for x.
6
Let l(d) = 70*d**4 - 136*d**3 + 54*d**2 + 20*d - 8. Let z(b) = 23*b**4 - 45*b**3 + 18*b**2 + 7*b - 3. Let h(w) = -3*l(w) + 8*z(w). Determine s so that h(s) = 0.
-2/13, 0, 1
Let z(p) be the second derivative of -4*p**2 - 2*p**3 + 2/3*p**4 - p + 0 + 3/5*p**5. Factor z(q).
4*(q - 1)*(q + 1)*(3*q + 2)
Let b = -2/4291 + 8592/21455. Let t(y) be the first derivative of b*y**5 + 2 + 0*y + 2*y**3 - y**2 - 3/2*y**4. Determine v, given that t(v) = 0.
0, 1
Let t(f) = -f + 9. Let h be t(4). Factor -3*o**3 - 97 + 4*o**h + 97 + 0*o**3 + o**2.
o**2*(o + 1)*(2*o - 1)**2
Suppose 35*r + 40547 = 40652. Factor 0 - 26/11*o**2 + 6/11*o + 8/11*o**r.
2*o*(o - 3)*(4*o - 1)/11
Let s(f) be the first derivative of f**3/3 - f**2/2 + 17. Let h(y) = -6*y**2 + 56*y + 288. Let a(x) = -h(x) - 8*s(x). Factor a(j).
-2*(j + 12)**2
Let i = -39 + 42. Factor 2*y**4 + 106*y**3 + 4*y**2 - 110*y**i - 2*y**2.
2*y**2*(y - 1)**2
Let h(i) be the first derivative of -4 + 0*i - 1/12*i**4 - 2*i**2 - 2/9*i**3 - 1/90*i**5. Let k(l) be the second derivative of h(l). Find c such that k(c) = 0.
-2, -1
Let x(i) be the second derivative of i**4/6 - 35*i**3/3 - 114*i**2 + 4*i - 102. Determine p so that x(p) = 0.
-3, 38
Suppose 0 + 1/2*o**3 - 9/2*o + 0*o**2 = 0. What is o?
-3, 0, 3
Let f = -770 - -1553/2. Solve 2 + 1/2*u**4 + 15/2*u**2 - f*u - 7/2*u**3 = 0.
1, 4
Let c(k) be the first derivative of 5/4*k**4 + 10*k**3 + 30*k**2 + 40*k + 32. Factor c(w).
5*(w + 2)**3
Let f be 3 + 4 + -39 - -5. Let p be (-68)/(-63) - (5 - (-129)/f). Factor 9/7*b**3 + 9/7*b - 24/7*b**2 + p.
3*(b - 2)*(b - 1)*(3*b + 1)/7
Let k(n) = n**3 - 10*n + 6. Let z be k(3). Let f(c) be the first derivative of 2*c**2 + z - c**4 + 2*c + 0*c**3 - 2/5*c**5. Determine w so that f(w) = 0.
-1, 1
Let f(p) be the third derivative of p**5/450 - p**4/180 + p**2 - 36*p. Factor f(n).
2*n*(n - 1)/15
Let c(z) be the third derivative of -18*z**7/35 - 9*z**6/5 + 3*z**5/5 + 10*z**4/3 + 8*z**3/3 + 446*z**2. Solve c(i) = 0 for i.
-2, -1/3, 2/3
Let l(o) be the second derivative of o**5/80 - 5*o**4/12 + 19*o**3/24 - 587*o. Suppose l(v) = 0. Calculate v.
0, 1, 19
Let d(g) be the second derivative of 8*g + 14/3*g**3 + 7/2*g**5 - 5/6*g**6 + 0 - 23/4*g**4 - 2*g**2. Factor d(o).
-(o - 1)**2*(5*o - 2)**2
Suppose 10/7 - 2/7*v**2 + 8/7*v = 0. What is v?
-1, 5
Let v be 12*(-5)/(-140) + 7/(1715/42). Factor 2/5*k + 0 + 1/5*k**4 - 1/5*k**5 + v*k**3 - k**2.
-k*(k - 1)**3*(k + 2)/5
Let u(g) = 9*g**3 - 336*g**2 - 1143*g - 33. Let l(k) = -k**3 + 42*k**2 + 143*k + 4. Let m(t) = 33*l(t) + 4*u(t). Factor m(c).
3*c*(c + 7)**2
Determine l, given that -3*l**2 + 33*l**3 - 13*l**2 - 6*l**2 - 21*l**3 - 4*l = 0.
-1/6, 0, 2
What is q in -2*q**3 + 10*q + 30*q + 572*q**2 - 610*q**2 = 0?
-20, 0, 1
Let c be -3*(2 - (11 - 8)). Let r(f) be the second derivative of 11/48*f**4 - 3*f + 0*f**2 - 1/12*f**c + 0. Factor r(y).
y*(11*y - 2)/4
Let p(d) be the second derivative of -1/6*d**2 + 14*d - 1/120*d**5 + 0 - 1/18*d**4 - 5/36*d**3. Factor p(x).
-(x + 1)**2*(x + 2)/6
Find o, given that 243/4*o**3 + 231/8*o**4 + 9/2*o**2 + 0 - 3*o = 0.
-2, -2/7, 0, 2/11
Let n(r) = 2*r**2 - 2*r - 2. Let t be n(-1). Factor -11*m**2 + 2 + 12*m**2 - t*m + 1 - 2.
(m - 1)**2
Let j be 12/9 - (0 + (-48)/18). Factor -3/2*s - 9/2*s**2 + 3 + 3/2*s**j + 3/2*s**3.
3*(s - 1)**2*(s + 1)*(s + 2)/2
Factor 13*p**2 + 18*p**2 - 35*p**2.
-4*p**2
Let l(m) be the first derivative of -17*m**4/2 - 4*m**3/3 + 161. Determine g so that l(g) = 0.
-2/17, 0
Factor 392 + 4*u**4 + 378*u - u**4 + 298*u**2 - 332*u**2 - 4*u**4 - 18*u**3 