u - 4/13*k**4 - 16/13 + 8/13*k = 0.
-2, -1, 1, 2
Let v be 25 + -3 + -19 + 12. Factor -27*l**2 - 42*l**2 - 57*l**2 + 55*l - 27*l**2 + v*l**3 - 17*l**2.
5*l*(l - 11)*(3*l - 1)
Let u = -67492/7 - -9693. Let y = u - 51. Factor y*b**5 - 4/7*b**2 + 4/7*b**4 + 0*b**3 + 0 - 2/7*b.
2*b*(b - 1)*(b + 1)**3/7
Let u be (-16176)/(-27) - 24/216. Let o = u - 597. Factor 4/5*r**o - 4/5 - 2/5*r + 2/5*r**3.
2*(r - 1)*(r + 1)*(r + 2)/5
Let s(a) be the second derivative of a**7/84 - a**6/60 - 19*a**5/20 + 21*a**4/4 - 9*a**3/4 - 189*a**2/4 + 32*a + 33. Factor s(j).
(j - 3)**3*(j + 1)*(j + 7)/2
Let z(j) be the first derivative of 0*j**3 - 1/6*j**4 - 4*j + 7/3*j**2 - 26. Factor z(c).
-2*(c - 2)*(c - 1)*(c + 3)/3
Let t(r) be the second derivative of -31 + 4/3*r**4 + 23/9*r**3 + 1/90*r**6 - r + 5/2*r**2 + 3/10*r**5. Factor t(x).
(x + 1)**3*(x + 15)/3
Let r(x) = -4*x**2 + 3*x + x**3 + 13*x**2 - 3 - 4*x**2. Let u be r(-2). Factor 3/2*m**u + 0 - 9/2*m**2 + 0*m.
3*m**2*(m - 3)/2
Let h(c) be the second derivative of -3*c**5/200 + c**4/15 - c**3/15 - 1519*c. What is p in h(p) = 0?
0, 2/3, 2
Let i(x) be the first derivative of 11*x**4 + 136*x**3/9 - 394*x**2/3 - 8*x + 1578. Factor i(y).
4*(y - 2)*(y + 3)*(33*y + 1)/3
Let i = -15/128 - -31/128. Let q(a) be the second derivative of 0*a**2 - 1/2*a**3 + 3/20*a**5 - 15*a - 1/20*a**6 + 0 + i*a**4. Find y, given that q(y) = 0.
-1, 0, 1, 2
Let d(x) be the third derivative of 9747*x**5/20 + 285*x**4/4 + 25*x**3/6 - 877*x**2 + 2*x. Let d(u) = 0. Calculate u.
-5/171
Let q be (-6)/(-14) - 5170/385. Let m be 102/(-34) - 43/q. Suppose -m - 6/13*z**2 - 14/13*z = 0. Calculate z.
-2, -1/3
Let u(p) = 834*p**2 + 0*p**3 - p**3 + 12 + 1 - 827*p**2 - p. Let n be u(7). Solve -n + 4*m**3 + 4 + 3*m - 7*m + 4*m**2 - 2 = 0.
-1, 1
Let h(j) be the third derivative of j**6/36 + 41*j**5/72 - 3725*j**4/72 - 625*j**3/12 + 2495*j**2 + 1. Solve h(s) = 0.
-25, -1/4, 15
Factor 398*m**2 - 135*m**2 - 832 - 831*m**2 + 1364*m + 36*m**3.
4*(m - 13)*(m - 1)*(9*m - 16)
Let x(z) be the third derivative of z**8/84 + 2*z**7/7 - 17*z**6/30 - z**5 + 8*z**4/3 + 833*z**2 - 1. What is j in x(j) = 0?
-16, -1, 0, 1
Let s(x) be the second derivative of 7/3*x**3 + 13*x + 12*x**2 + 1 + 1/6*x**4. Factor s(j).
2*(j + 3)*(j + 4)
Let c(n) be the first derivative of -n**7/840 - n**6/30 + 9*n**5/40 - 7*n**4/12 - 12*n**3 - n**2 - 20. Let y(g) be the third derivative of c(g). Factor y(d).
-(d - 1)**2*(d + 14)
Suppose 134*k = 175 - 237 + 723 + 679. What is s in 26/7*s**4 - k*s + 2/7*s**5 + 68/7*s**3 + 14 - 124/7*s**2 = 0?
-7, -1, 1
Let a(n) be the third derivative of -n**5/15 + 284*n**4/3 - 161312*n**3/3 - 100*n**2 - 9*n. Factor a(v).
-4*(v - 284)**2
Let r(y) be the first derivative of -y**3/3 + 31*y**2/2 - 240*y - 1445. Factor r(h).
-(h - 16)*(h - 15)
Let o(h) be the second derivative of -9248*h**3 - 628864*h**2 + 0 - 179*h - 1/5*h**5 - 68*h**4. Factor o(u).
-4*(u + 68)**3
Let n(v) = v**2 - 4*v - 35. Let t be n(10). Determine k so that -135 + 20*k**4 + 0*k**4 + 135 - 55*k**3 + t*k**2 + 10*k = 0.
-1/4, 0, 1, 2
Let z(x) be the second derivative of -3*x**5/80 + 7*x**4/24 + 383*x**3/24 + 63*x**2/4 - 2308*x. Factor z(q).
-(q - 14)*(q + 9)*(3*q + 1)/4
Let o be 0 + 4/5 + 0. Let c = -563/39 - -2854/195. Let -c*w**2 + 4/5*w - o = 0. What is w?
2
Suppose 2490*t**3 + 2454*t**3 + 848 - 3*t**4 + 3199 + 12138*t + 149*t**3 + 12132*t**2 - 1055*t**3 = 0. What is t?
-1, 1349
Let s(k) be the first derivative of 10/3*k**2 + 22/3*k + 139 - 2/9*k**3. Factor s(o).
-2*(o - 11)*(o + 1)/3
Let x(h) be the third derivative of -h**7/525 - 2*h**6/25 - 23*h**5/150 + 5743*h**2. Let x(w) = 0. What is w?
-23, -1, 0
Let i(l) be the first derivative of 537/2*l**4 - 114/5*l**5 - 2166*l + 112*l**3 + 1/2*l**6 - 325 - 3021/2*l**2. Determine x, given that i(x) = 0.
-1, 2, 19
Let u(v) = 2*v**3 + 32*v**2 + 98*v + 1034. Let c be u(-15). What is t in 294*t + 2058 + 2/9*t**3 + c*t**2 = 0?
-21
Let o(l) be the third derivative of -l**9/302400 - l**8/100800 - 53*l**5/60 + l**2 + 16. Let i(h) be the third derivative of o(h). Factor i(b).
-b**2*(b + 1)/5
Suppose -2/5*g**2 + 202/5 + 40*g = 0. Calculate g.
-1, 101
Suppose -2*t - 3*s = -t + 3, 0 = -3*t + 3*s + 15. Factor 5037 - 5040 + 4*i**2 + 13*i - 17*i**2 + 3*i**t.
(i - 3)*(i - 1)*(3*i - 1)
Let h = 51/2 + -25. Let m = 2351/1770 + -146/295. Factor 1/3 - h*l**2 + m*l.
-(l - 2)*(3*l + 1)/6
Let o(i) = -i**3 + 36*i**2 + 96*i + 80. Let p(k) = 18*k**2 + 48*k + 40. Suppose -20*h + 79 = -21. Let t(v) = h*p(v) - 2*o(v). Factor t(z).
2*(z + 2)**2*(z + 5)
Suppose 1808 = -136*d + 2624. Let g(l) be the second derivative of 13*l + 1/10*l**5 - 1/45*l**d + 1/9*l**3 - 1/6*l**4 + 0*l**2 + 0. Factor g(i).
-2*i*(i - 1)**3/3
Solve -7/4*y**3 + 0 + 9/2*y + 21/8*y**2 + 1/8*y**4 = 0.
-1, 0, 3, 12
Suppose 0 = u + 2*c + 3*c + 2, -4*c - 1 = u. Solve 5*p**4 + 5*p**4 + 9*p**3 - 10*p**2 + 5*p**5 - 4*p**u - 10*p**5 = 0 for p.
-1, 0, 1, 2
Find t, given that 3/7*t**3 + 1248/7 - 12/7*t - 312/7*t**2 = 0.
-2, 2, 104
Let g(l) = 29*l - 3333. Let r be g(115). Factor -8/3*t**r + 2/3*t + 4 + 2/3*t**3.
2*(t - 3)*(t - 2)*(t + 1)/3
Let b(u) be the first derivative of -1/2*u**2 + 1/24*u**6 + 9 + 1/3*u**3 + 3/16*u**4 - 1/5*u**5 + 0*u. Factor b(s).
s*(s - 2)**2*(s - 1)*(s + 1)/4
Factor -44/5 + 1/5*u**2 + 4*u.
(u - 2)*(u + 22)/5
Factor 4 - 1/4*o**4 - 7/4*o**3 + o - 3*o**2.
-(o - 1)*(o + 2)**2*(o + 4)/4
Let i(y) be the second derivative of -21/10*y**4 - 48/5*y**2 + 33/100*y**5 - 1/50*y**6 + 0 + 45*y + 32/5*y**3. Determine x, given that i(x) = 0.
1, 2, 4
Suppose -1102*l**4 - 2*l**3 + 2094*l**4 - 102*l - 216 - 993*l**4 + 113*l**2 = 0. What is l?
-12, -1, 2, 9
Let h(d) be the first derivative of 0*d**3 - 18*d**2 - 1/240*d**5 + 13 + 0*d - 7/96*d**4. Let a(t) be the second derivative of h(t). What is j in a(j) = 0?
-7, 0
Let l(g) be the first derivative of -g**3/2 - 27*g**2 - 192*g - 1778. Determine v so that l(v) = 0.
-32, -4
Suppose 21 = 43*m - 36*m. Suppose 2*n = -m*i + 3, 3*n - 3 = 15*i - 19*i. Factor -8/3*o**2 + 12*o**i + 8/3 - 12*o.
4*(o - 1)*(o + 1)*(9*o - 2)/3
Let i(u) be the first derivative of u**3/3 - u**2/2 + u - 1. Let w(q) = 142*q**2 - 14*q - 78 - 145*q**2 - 28*q. Let b(k) = 2*i(k) - w(k). Solve b(z) = 0.
-4
Factor -4*p**3 - 5*p**3 - 50*p**2 + 98*p + 8*p**3 + 6*p**3 + 27*p.
5*p*(p - 5)**2
Let g = 349 - 319. Let x be (12/20)/3 + 34/g. Determine z so that 0*z - 1/3*z**2 + x = 0.
-2, 2
Let s = -77 + 79. Suppose -3*q - 4*d + 2 = 0, -s - 2 = 4*d. What is t in 3*t**q + 21/2*t**3 - 21/2*t - 3 = 0?
-1, -2/7, 1
Let w = -2/553 + 557/1106. Let z(r) be the third derivative of 0 + 0*r + 1/60*r**5 - 1/12*r**4 + 25*r**2 - w*r**3. Factor z(o).
(o - 3)*(o + 1)
Suppose 10*g - 21 = 29. Let l(q) = -q**2 - 8*q - 22. Let p(z) = z**2 + 8*z + 21. Let k(c) = g*l(c) + 6*p(c). Factor k(f).
(f + 4)**2
Let v(i) be the first derivative of 4/3*i**3 - 18 - 4*i**2 + 0*i + i**4. Factor v(q).
4*q*(q - 1)*(q + 2)
Let n(d) be the first derivative of -16*d**3/15 + 169*d**2/15 - 14*d/15 + 528. Determine u, given that n(u) = 0.
1/24, 7
Let b = -22783 - -22785. Factor 9/2 - 7/4*m**b + 1/4*m**4 - 3/4*m**3 + 15/4*m.
(m - 3)**2*(m + 1)*(m + 2)/4
Suppose 6*k + 45 = -135. Let w = k - -25. Let y(x) = 15*x**2 + 15*x - 35. Let b(m) = 7*m**2 + 8*m - 17. Let a(v) = w*b(v) + 2*y(v). Factor a(u).
-5*(u - 1)*(u + 3)
Let n(d) be the second derivative of -d**4/3 - 40*d**3 - 118*d**2 + 637*d. Factor n(x).
-4*(x + 1)*(x + 59)
Let f(n) be the second derivative of -n**4/36 + 301*n**3/9 - 90601*n**2/6 + 7695*n. Factor f(l).
-(l - 301)**2/3
Let j(c) be the first derivative of -c**4/90 - 2*c**3/45 - 20*c - 106. Let a(v) be the first derivative of j(v). Find d such that a(d) = 0.
-2, 0
Factor -1/8*s**2 + 361/4*s + 723/8.
-(s - 723)*(s + 1)/8
Let o be ((-140)/63)/(-1 - 35/(-45)). Factor 116*k**4 + k**5 + 12*k**3 + 3*k - 210*k**4 + 100*k**4 + o*k**2.
k*(k + 1)**3*(k + 3)
Let t(l) = -l**2 - 7*l - 52. Let s be t(-18). Let h = s - -252. Factor 10/9*x**h + 0 + 2/9*x**3 + 8/9*x.
2*x*(x + 1)*(x + 4)/9
Let q(s) be the first derivative of -9*s**6/2 - 1878*s**5/35 + 15441*s**4/28 + 5386*s**3/7 - 1026*s**2/7 - 1080*s/7 - 8799. Determine w so that q(w) = 0.
-15, -1, -2/9, 2/7, 6
Determine j so that -2/9*j**2 + 1892/9 - 314/3*j = 0.
-473, 2
Let q = -220724 + 220728. Factor -1/5*x**q + 8/5 - 4/5*x**3 + 