**2 + x - 2. Let k(p) = -18*p**4 + 465*p**3 + 1095*p**2 + 729*p + 135. Let m(v) = 6*j(v) + k(v). Solve m(i) = 0 for i.
-1, -1/4, 41
Factor -36 + 8/3*t**3 + 46*t - 58/3*t**2.
2*(t - 3)*(t - 2)*(4*t - 9)/3
Let i(s) be the second derivative of 5*s**7/189 - 16*s**6/135 + 11*s**5/90 - s + 2. Factor i(g).
2*g**3*(g - 1)*(5*g - 11)/9
Let d(r) be the first derivative of 1/9*r**3 - 1/4*r**4 + 0*r**2 - 1/18*r**6 + 62 + 1/5*r**5 + 0*r. Factor d(x).
-x**2*(x - 1)**3/3
Suppose 108*x - 939 = -313*x - 97. What is u in -4/7*u**3 + 18/7*u**4 + 8/7 - 54/7*u**x - 24/7*u = 0?
-1, 2/9, 2
Suppose 13*y - 16 = 5*y - 2*y + 2*y. Factor 286/3*v + 50/3*v**y + 2/3*v**3 - 338/3.
2*(v - 1)*(v + 13)**2/3
Let w(g) be the first derivative of -g**9/18144 + g**8/1260 - g**7/420 + 2*g**3/3 + 2*g + 11. Let f(d) be the third derivative of w(d). Factor f(r).
-r**3*(r - 6)*(r - 2)/6
Let s(o) be the second derivative of -23*o**5/15 - 7*o**4/2 + 4*o**3/3 + 47*o**2/2 - 170*o. Let q(l) be the first derivative of s(l). Factor q(f).
-4*(f + 1)*(23*f - 2)
Let q be (-21*(-5)/560)/((-54)/(-360)). Factor -5/2*n**2 + 0 + 0*n - q*n**3 + 5/4*n**4.
5*n**2*(n - 2)*(n + 1)/4
Solve -319/7*b**2 + 0*b - 1/7*b**3 + 0 = 0.
-319, 0
Suppose -l = -5*l. Suppose l = 56*s - 52*s - 8. Factor -5*q**3 + q**3 + q**3 - 3*q**s + 6*q.
-3*q*(q - 1)*(q + 2)
Let k(y) be the first derivative of y**4/4 + 55*y**3/3 - 252*y**2 - 4104. Factor k(x).
x*(x - 8)*(x + 63)
Factor 297/2*k + 162 + 81/2*k**2 - 1/2*k**4 + 3/2*k**3.
-(k - 12)*(k + 3)**3/2
Let u(m) = -m**2 - m - 2. Let p(h) = -4*h - 22. Let r(z) = -p(z) + u(z). Let x be r(-3). Factor -1/4*b - 3/8 + 1/8*b**x.
(b - 3)*(b + 1)/8
Let z(p) = 19*p + 725. Let w be z(-38). Let d(y) be the first derivative of -2/5*y + 1/15*y**w + 19 + 1/25*y**5 + 3/20*y**4 - 3/10*y**2. Factor d(h).
(h - 1)*(h + 1)**2*(h + 2)/5
Let v = 374269 + -374267. Factor -1/4*d**2 + v + 7/4*d.
-(d - 8)*(d + 1)/4
Let x(v) be the first derivative of -v**6/36 + 17*v**5/60 - v**4/2 - 59*v**3/3 - 22. Let f(y) be the third derivative of x(y). What is z in f(z) = 0?
2/5, 3
Find w, given that -3/5*w**4 - 282/5*w + 288/5*w**2 - 57 + 282/5*w**3 = 0.
-1, 1, 95
Let n = 6812 + -6808. Let b(f) be the first derivative of 0*f**2 + 2/3*f**6 - 8/3*f**3 + 0*f + 0*f**5 - 3*f**n - 15. Solve b(j) = 0.
-1, 0, 2
Let f(s) be the first derivative of -s**5/270 + s**4/36 + 4*s**3/27 + 21*s**2 - 46. Let v(r) be the second derivative of f(r). Determine g so that v(g) = 0.
-1, 4
Suppose 2*j - 12 = -9 + 3. Let v be (-32)/(-14) + (-2)/7. Suppose -1 + 813*k**4 - 12*k - 12*k**v + 1 + j*k**5 + 9*k**3 - 801*k**4 = 0. Calculate k.
-2, -1, 0, 1
Suppose -91*q + 14 = -54 - 205. Let j = -2/29 - -37/116. Determine a so that 0 + 0*a**2 + a - j*a**q = 0.
-2, 0, 2
Let t(c) = -106*c + 47. Let k be t(-1). Let z = -761/5 + k. Find y, given that -3/5*y**4 + 0 + 1/5*y**5 + z*y**2 + 0*y + 0*y**3 = 0.
-1, 0, 2
What is o in -5/4*o**2 - 23/4*o + 5/2 = 0?
-5, 2/5
Let j(p) be the first derivative of -p**4/6 - 670*p**3/9 + 338*p**2/3 + 448*p - 6557. Factor j(s).
-2*(s - 2)*(s + 1)*(s + 336)/3
Let g be 308/33 + -11 + (-1065)/(-315). Suppose 9/7 - 39/7*b + g*b**2 = 0. What is b?
1/4, 3
Let j = -161134/5 + 32227. Let -289/5 - j*b**2 + 34/5*b = 0. What is b?
17
Determine t so that 182/3*t - 2/3*t**3 - 60 + 0*t**2 = 0.
-10, 1, 9
Let a(m) be the second derivative of m**5/110 - 7*m**4/11 + 52*m**3/11 + 6760*m**2/11 + 1045*m. Factor a(x).
2*(x - 26)**2*(x + 10)/11
Let v(y) = -14*y**2 - 296*y - 1032. Let x(r) = 13*r**2 + 296*r + 1030. Let n(o) = 3*v(o) + 4*x(o). Let n(q) = 0. Calculate q.
-128/5, -4
Factor 52 + 16*q - 4/9*q**2.
-4*(q - 39)*(q + 3)/9
Let x(u) be the third derivative of 0 + 49/40*u**6 + 1/2*u**4 + 181*u**2 + 7/5*u**5 + 0*u**3 + 0*u. Factor x(h).
3*h*(7*h + 2)**2
Suppose 5*v - 13 = -d, 11 = 5*v + 2*d - 5. Factor -l**2 - v*l**2 - 3 - 3799*l + 3805*l.
-3*(l - 1)**2
Factor 0 + 432/7*c + 264/7*c**2 + 3/7*c**4 + 51/7*c**3.
3*c*(c + 4)**2*(c + 9)/7
Find d such that -4/7*d**2 + 236/7*d + 240/7 = 0.
-1, 60
Let y be ((-3380)/8)/(-5) - (0 + 8 + (6 - 18)). Factor -42*v**2 - 45 - 3/2*v**3 + y*v.
-3*(v - 1)**2*(v + 30)/2
Let j(b) be the third derivative of -2*b**7/525 + 13*b**6/150 + 4*b**5/15 - 14*b**4/5 - 3*b**2 + 186*b. Suppose j(p) = 0. What is p?
-3, 0, 2, 14
Let c(q) be the first derivative of -q**5/12 + 5*q**4 - 115*q**3/6 + q**2/2 + 18*q - 149. Let h(x) be the second derivative of c(x). Solve h(l) = 0 for l.
1, 23
Let k(b) = -4*b**2 + 22*b - 8. Let q be k(5). Let s be (q/4 + 2)*(-84)/(-140). Determine x so that -3/4*x**3 + s*x**2 + 0 - 3/4*x = 0.
0, 1
Let t(o) = 6 - 9*o**4 - 30*o - 30*o**3 - o**5 - 8*o**3 - 9 - 5 - 55*o**2. Let u(k) = k**4 - k**2 + k. Let z(p) = -t(p) + 3*u(p). Factor z(s).
(s + 1)**4*(s + 8)
Let w(s) = s**3 + 49*s**2 - 49*s + 52. Let y be w(-50). Let u(l) be the first derivative of -y*l**2 + 8 + 0*l - 4/9*l**3. Let u(c) = 0. What is c?
-3, 0
Let a(c) = -5*c + 4. Let w be 0*(-8 - -4)/(-4). Let j be a(w). Find f, given that -8*f**3 - 3*f**j - f**3 + 6*f + 3*f**2 - 38*f**5 + 41*f**5 = 0.
-1, 0, 1, 2
Solve -3*v**2 + 4/7*v**3 + 4 + 1/7*v**4 + 4/7*v = 0.
-7, -1, 2
Let u(d) be the first derivative of -4*d**6/9 + 44*d**5/15 + 39*d**4/2 + 21*d**3 - 36*d**2 - 81*d + 4204. Determine b, given that u(b) = 0.
-3/2, 1, 9
Let k(n) = 4*n**2 + 67*n + 12. Let v be k(-15). Let s be (31/v)/(1/(-9)). Find q such that -10/3*q**s - 8/3*q**4 + 0*q + 0 - 4/3*q**2 - 2/3*q**5 = 0.
-2, -1, 0
Let w(j) = -j**3 + 8*j**2 - 6*j + 2. Let a be w(7). Suppose 0 = -7*t + t + 54. Let -7*p**5 - 2*p**3 + 27*p**5 - t*p**5 - a*p**5 = 0. What is p?
-1, 0, 1
Suppose 2*x - 3*r - 92 = 0, -4*x - 1891 = -3*r - 2051. Let d(n) be the first derivative of -2/11*n**2 + 6/11*n - 2/33*n**3 + x. Solve d(u) = 0 for u.
-3, 1
Let y(u) be the second derivative of 1/78*u**4 - 63*u + 0 + 20/13*u**2 - 4/13*u**3. What is r in y(r) = 0?
2, 10
Let l be (6 - (-195)/(-20))*16/(-6). Factor -l*j**3 + 168*j + 24*j**3 + 73*j**2 + 998 + j**4 - 854.
(j + 3)**2*(j + 4)**2
Suppose -20 = 4*k + 4*d, -2*d - 33 = 5*k - d. Let j be 0/((-63)/k) + 0. Factor -2/11*x**3 - 2/11*x + j + 4/11*x**2.
-2*x*(x - 1)**2/11
Let c(v) = 20*v**2 - 75*v + 40. Let f(n) = 5*n**2 - 19*n + 10. Let g = -74 + 104. Suppose 4*h = 14 - g. Let i(a) = h*c(a) + 15*f(a). Factor i(s).
-5*(s - 2)*(s - 1)
Let b = 194380 - 194380. Factor 4*r + b + 1/2*r**2.
r*(r + 8)/2
Let f(l) be the second derivative of l**4/48 + 33*l**3 + 3843*l. Factor f(o).
o*(o + 792)/4
Suppose 169*j - 310 = 167*j. Let f be (7 - j/20)*-4. Determine q, given that -2*q**f + 0 - 10/13*q**4 + 0*q + 12/13*q**2 = 0.
-3, 0, 2/5
Determine y so that 0 - 24/7*y + 0*y**3 + 4/7*y**4 - 4*y**2 = 0.
-2, -1, 0, 3
Let h = -72/5 - -1013/70. Let x(z) be the first derivative of 2/35*z**5 - 2/7*z**3 + 4 + 4/7*z - h*z**4 + 1/7*z**2. Factor x(j).
2*(j - 2)*(j - 1)*(j + 1)**2/7
Solve 722/5 + 3173/5*n - 143/5*n**3 + 4/5*n**4 + 1104/5*n**2 = 0.
-2, -1/4, 19
Let o = 97 + 245. Let l = -2390/7 + o. Factor 0 + 4/7*t**2 + l*t.
4*t*(t + 1)/7
Suppose -15 = -11*y + 6*y. Factor -20706*r**3 - r**4 + y*r**5 + 20703*r**3 - 3*r**2 + 4*r**4.
3*r**2*(r - 1)*(r + 1)**2
Let s(c) be the second derivative of -2*c**6/15 - 6*c**5/5 + 47*c**4/3 + 112*c**3 - 1568*c**2 + 425*c - 1. Factor s(g).
-4*(g - 4)**2*(g + 7)**2
Let s be ((-488)/(-976))/((-2)/(-20)). Let t(d) be the first derivative of 8/9*d**6 + 0*d**3 - 15 + 0*d + 0*d**2 + 1/12*d**4 + 8/15*d**s. Factor t(c).
c**3*(4*c + 1)**2/3
Suppose -2*d + 4*y + 36 = 0, -5*d + 4*y + 54 = 3*y. Let b(i) = i**2 - 10*i. Let g be b(d). Factor 13 + 0*k**2 + 4*k**2 + g*k - 20*k + 3.
4*(k - 4)*(k - 1)
Let k(a) be the first derivative of a**5/30 + a**4/6 + a**3/3 + 2*a**2 - 9*a + 36. Let y(j) be the second derivative of k(j). Suppose y(i) = 0. What is i?
-1
Let b(w) = w**2 + 12*w + 1. Let t be b(-12). Let l(h) = -h**2. Let r(v) = -18*v**3 + 18*v**2 - 2*v. Let p(s) = t*r(s) + 6*l(s). Solve p(d) = 0 for d.
0, 1/3
Let j(y) be the third derivative of 5/8*y**4 + 0 - y + 0*y**3 - 1/40*y**6 + 1/5*y**5 - 26*y**2. Solve j(m) = 0.
-1, 0, 5
Suppose -12 = -2*w, 387 = -5*s - 4*w + 431. Factor -4*l**3 - 2/3*l**2 + 0 - 11/6*l**s + 0*l.
-l**2*(l + 2)*(11*l + 2)/6
Let q(n) be the second derivative of -n**5/60 + 7*n**4/18 - n**3/2 - 54*n**2 - n + 646. Solve q(o) = 0.
-4, 9
Let k(u) be the third derivative of -u**6/