t be (-6)/14 - w/14. Find r, given that -246*r**3 - t*r**2 + 4*r + 242*r**3 + 13 - 5 + 4*r**4 = 0.
-1, 1, 2
What is u in 207*u**3 - 198*u**2 + 3*u**4 - 418*u**3 + 24*u + 187*u**3 + 195 = 0?
-5, -1, 1, 13
Let v(d) be the first derivative of -1/5*d**3 + 24/5*d**2 + 0*d + 83. Suppose v(i) = 0. What is i?
0, 16
Let k(b) be the second derivative of 7/18*b**4 + 1/6*b**5 + 6 + 1/45*b**6 + 1/3*b**3 - 2*b + 0*b**2. Factor k(h).
2*h*(h + 1)**2*(h + 3)/3
Let i(p) be the third derivative of p**8/13440 - p**7/630 - p**6/160 - p**4/24 + 5*p**3/6 + 23*p**2 - 3. Let k(v) be the second derivative of i(v). Factor k(d).
d*(d - 9)*(d + 1)/2
Let r be 2/6 + 2/48. Let k be (36/(-8))/((-118 - -28)/15). Find n, given that 3/8*n**2 - k*n + r = 0.
1
Let d be -7 + 6 + 8 - 1. Factor -8*j**3 - 807*j**4 + d + j**5 + 809*j**4 - 6.
j**3*(j - 2)*(j + 4)
Let h = -124/805 + 5644/805. Factor h*s - 20/7*s**2 - 16/7.
-4*(s - 2)*(5*s - 2)/7
Suppose 2*d = -c + 34, -98 = -4*c + 4*d + 50. Let 12*s**2 + c*s + 36 + 4/3*s**3 = 0. What is s?
-3
Let u(p) be the third derivative of -p**8/2184 + p**7/65 - 2*p**6/15 + 14*p**5/65 - 617*p**2. Find j such that u(j) = 0.
0, 1, 6, 14
Let l = 197025 - 196920. Suppose -2205/2 - 5/2*z**2 - l*z = 0. What is z?
-21
Let a(n) be the second derivative of n**7/21 - 136*n**6/45 + 4*n**5/5 + 467*n**4/9 + 167*n**3/3 - 90*n**2 + 2571*n + 1. Suppose a(p) = 0. What is p?
-2, -1, 1/3, 3, 45
Let d be (3696/(-5278) - 4/58)/(16/(-104)). Factor -3/4*p**3 + 1/4*p**d + 1/2*p + 0 + 1/4*p**4 - 1/4*p**2.
p*(p - 1)**2*(p + 1)*(p + 2)/4
Let k(r) be the first derivative of r**7/42 - r**6/15 - r**5/20 + r**4/6 - 75*r + 122. Let z(g) be the first derivative of k(g). Factor z(o).
o**2*(o - 2)*(o - 1)*(o + 1)
Let i be (-10)/8*174/145*(3 + -5). Let t(r) be the first derivative of 40*r - 5/4*r**4 - 10*r**i + r**5 - 16 + 10*r**2. Find j, given that t(j) = 0.
-2, -1, 2
Let m = 2609327/5 + -521865. Factor 12 + 14/5*s - m*s**2.
-2*(s - 10)*(s + 3)/5
Let y(v) be the third derivative of v**6/24 + 13*v**5/12 - 65*v**4/2 + 210*v**3 + 3*v**2 - 481. Factor y(w).
5*(w - 6)*(w - 2)*(w + 21)
Let a be ((-130)/(-15) + -4)*3. Let v be ((-6)/(-21))/(2/a). Find b such that -4*b**2 - 6 + 12*b**2 - 115*b**4 - 145*b**4 - 184*b**3 + v + 28*b - 100*b**5 = 0.
-1, 1/5
Let l(r) be the third derivative of -r**7/70 - 19*r**6/8 - 1279*r**5/10 - 1760*r**4 - 5808*r**3 + 598*r**2. Factor l(s).
-3*(s + 1)*(s + 6)*(s + 44)**2
Factor -6*m**2 + 1/2*m**5 - m**3 + 0 - 4*m + 3/2*m**4.
m*(m - 2)*(m + 1)*(m + 2)**2/2
Let z(v) be the third derivative of v**8/1344 - v**7/420 - 7*v**6/120 - 23*v**5/120 - 7*v**4/32 + 898*v**2. Factor z(l).
l*(l - 7)*(l + 1)**2*(l + 3)/4
Factor -56*h + 1/2*h**2 + 327/2.
(h - 109)*(h - 3)/2
Let c(d) be the first derivative of 3*d**4/10 + 2*d**3/3 - 2*d**2/5 + 5. Factor c(n).
2*n*(n + 2)*(3*n - 1)/5
Suppose -12*u + 5*u = -140. Factor -50 - 33*j**2 - 39*j**2 + 70*j**2 - u*j.
-2*(j + 5)**2
Let q be -6 - (-331 - (-3 + 1)). Let b = 323 - q. Factor 0 + 1/10*l**3 + 1/10*l**5 + 0*l**2 + b*l - 1/5*l**4.
l**3*(l - 1)**2/10
Let t(u) be the first derivative of 103 - 8/5*u - 17/5*u**2 - 44/15*u**3 - 9/10*u**4. Factor t(v).
-2*(v + 1)**2*(9*v + 4)/5
Factor 3/4*p**3 + 45/4*p + 33/2*p**2 - 189/2.
3*(p - 2)*(p + 3)*(p + 21)/4
Suppose 0 = -10*q - 23 + 43. Suppose 2*n + 0*n = 4*r - 22, -4*r + 27 = 3*n. Let -w**q - 9 + r - 3*w + 3 = 0. Calculate w.
-3, 0
Let s(x) be the second derivative of x**4/18 + x**3 - 70*x**2/3 - 942*x. Find q such that s(q) = 0.
-14, 5
Let s(o) be the third derivative of 0*o + 8/3*o**3 + 0 - 5/6*o**4 + 1/15*o**5 + 26*o**2. Factor s(f).
4*(f - 4)*(f - 1)
Let c(f) = 5*f**4 + 584*f**3 + 2*f**2 - 4. Let d(y) = -21*y**4 - 2337*y**3 - 9*y**2 + 18. Let n(h) = 9*c(h) + 2*d(h). Determine z so that n(z) = 0.
-194, 0
Determine c, given that 4*c**3 - 38/3*c**2 - 1/3*c**5 + 2/3*c**4 + 37/3*c - 4 = 0.
-4, 1, 3
Let q(f) be the second derivative of -f**6/15 - 113*f**5/5 - 10309*f**4/6 + 92660*f**3 - 1512900*f**2 - 5839*f. Factor q(m).
-2*(m - 10)**2*(m + 123)**2
Suppose 462 = 1599469*i - 1599238*i. Let -2/11*y**4 - 42/11*y**i + 16/11*y**3 + 4*y - 16/11 = 0. What is y?
1, 2, 4
Let y(s) be the second derivative of -s**4/36 - 43*s**3/9 + 455*s**2/6 - 211*s. Factor y(m).
-(m - 5)*(m + 91)/3
Let m(f) be the first derivative of 5/3*f**3 - 56 - 5*f - 5/4*f**4 + 5/2*f**2. Determine o so that m(o) = 0.
-1, 1
Suppose -4*r = -3*c + 3, -5*r + 6 - 7 = -c. Let u(j) = j**3 + 1. Let v(y) = -y**4 - 2*y**3 - 8*y**2 - 4*y + 3. Let s(t) = c*v(t) - 3*u(t). Factor s(d).
-d*(d + 1)*(d + 2)**2
Let f(w) be the third derivative of -w**7/105 + 227*w**6/60 - 2923*w**5/5 + 121841*w**4/3 - 2026120*w**3/3 + 4*w**2 + 143*w - 2. Factor f(t).
-2*(t - 74)**3*(t - 5)
Let k(r) be the second derivative of -r**6/900 - 3*r**5/100 - 2*r**4/15 + 25*r**3/6 + 91*r + 3. Let t(s) be the second derivative of k(s). Factor t(h).
-2*(h + 1)*(h + 8)/5
Suppose -103 + 181 = 26*x. Let h(v) = -2*v**3 - 8*v**2. Let w(q) be the second derivative of q**5/10 + 7*q**4/12 + q. Let f(k) = x*h(k) + 4*w(k). Factor f(t).
2*t**2*(t + 2)
Let n(c) be the second derivative of c**4/3 + 188*c**3/3 - 190*c**2 + 385*c + 3. Factor n(d).
4*(d - 1)*(d + 95)
Let o = 289 - 44216/153. Let w = 3679/1071 - o. What is y in 12/7*y - 3/7*y**3 + 6/7*y**2 - w = 0?
-2, 2
Let x(k) = -13*k**3 - 103*k**2 + 2568*k + 2679. Let o(u) = -123*u**3 - 978*u**2 + 24399*u + 25452. Let j(g) = -7*o(g) + 66*x(g). Factor j(i).
3*(i - 15)*(i + 1)*(i + 30)
What is j in -68*j**3 + 4*j**4 + 1636*j**2 - 116*j**3 + 48*j**3 + 11575 - 8160*j - 1918 + 4743 = 0?
5, 12
Let i(u) = 38*u + 39. Let w be i(-1). Let y be (1 - w) + (80/(-72) - -2). Find j such that 8/9 - y*j + 2/9*j**2 = 0.
2
Let r be ((-20)/375)/(28/(-5)). Let v(k) be the second derivative of 0*k**4 - r*k**7 - 1/75*k**6 + 0*k**2 + 1/25*k**5 + 0*k**3 - 13*k + 0. Factor v(a).
-2*a**3*(a - 1)*(a + 2)/5
Factor 952/13 - 2/13*h**2 + 22/13*h.
-2*(h - 28)*(h + 17)/13
Let s be (-18)/(-40)*31 + 5 + -24 + 10. Let m(b) be the first derivative of 19/16*b**4 + 27/8*b**6 - 1/12*b**3 - 51 + 0*b**2 - s*b**5 + 0*b. Factor m(q).
q**2*(q - 1)*(9*q - 1)**2/4
Suppose 2255/9*o**2 + 1/9*o**4 + 0 - 11767/9*o - 89/9*o**3 = 0. What is o?
0, 7, 41
Let g(r) = -r**3 - 2*r**2 - 7*r. Let h be g(0). Let w(u) be the first derivative of 0*u + 1/30*u**6 - 1/25*u**5 + 0*u**2 - 1/10*u**4 - 24 + h*u**3. Factor w(b).
b**3*(b - 2)*(b + 1)/5
Let k(q) = -q**2 + 3*q + 4. Let t be k(5). Let w(n) = 55*n**2 - 259*n - 82. Let m(u) = -9*u**2 + 43*u + 14. Let i(h) = t*w(h) - 34*m(h). Factor i(p).
-4*(p - 4)*(6*p + 1)
Let u(x) be the first derivative of 8*x**6 + 408*x**5/5 + 1035*x**4/4 + 350*x**3 + 375*x**2/2 + 1635. Suppose u(l) = 0. What is l?
-5, -5/4, -1, 0
Let x(h) be the third derivative of -2/45*h**5 + 0*h**3 + 2/27*h**4 - h - 1/945*h**7 + 1/90*h**6 + 0 + 12*h**2. Factor x(q).
-2*q*(q - 2)**3/9
Let a(m) be the second derivative of m**4/20 + 3*m**3/5 - 81*m**2/2 + 3561*m. Factor a(r).
3*(r - 9)*(r + 15)/5
Let x(k) be the second derivative of k**4/6 - 118*k**3/3 + 345*k**2 - 3079*k. Let x(u) = 0. What is u?
3, 115
Let z = -261 + 266. Let d be ((-28)/(-21))/(z/15). Suppose -2*k**2 + 0 + 2/5*k**d + 6/5*k + 2/5*k**3 = 0. Calculate k.
-3, 0, 1
Let q be 4/(-28) + 5232/168. What is c in 5*c**2 - 16*c + q*c + 0*c**2 = 0?
-3, 0
Determine m so that 10*m - 5/4*m**3 - 3/2*m**4 + 21/2*m**2 + 1/4*m**5 + 0 = 0.
-2, -1, 0, 4, 5
Factor -4 - 56*c**2 + 15 + 9*c - c**3 - 41*c**2 + 95*c**2 + 7.
-(c - 3)*(c + 2)*(c + 3)
Let k = 1109/6744 - -5/2248. Let h(j) be the second derivative of k*j**4 + 35*j - 1/40*j**5 + 0 + 0*j**2 - 1/4*j**3. Solve h(u) = 0 for u.
0, 1, 3
Let z be ((-1)/3)/((-57)/342)*(-8)/(-10). Let -z*s**2 - 2/5*s**3 - 12/5 + 22/5*s = 0. What is s?
-6, 1
Let a be (82 - -2)/((-5)/(151 + -1)). Let j be -5 - (a/44)/6 - 0. Factor -2/11*m**2 - 20/11*m - j.
-2*(m + 5)**2/11
Factor -14*o**3 - 128/9*o**2 + 1/9*o**5 - 43/9*o - 40/9*o**4 + 0.
o*(o - 43)*(o + 1)**3/9
Let s(k) be the third derivative of -1/21*k**4 + 0 - 2/7*k**3 + 1/420*k**5 + 4*k**2 + 1/840*k**6 - 4*k. Factor s(h).
(h - 3)*(h + 2)**2/7
Let x be ((-336)/(-630) + (-2)/(-30))/(27/120). Factor 1/6*g**5 - 16/3*g - 8/3*g**2 + 5/6*g**4 + 2/3*g**3 - x.
(g - 2)*(g + 1)*(g + 2)**3/6
Suppose 43*w - 40*w = 4*n - 21, -7*n - 14 = 2*w. Let q(r) be the first derivati