**2 + 4*j - 35. Let x(m) = -m**2 - 2*m. Let t(h) = -v(h) + 4*x(h). Determine z so that t(z) = 0.
5, 7
Let f(i) = -4*i**3 + 6*i**2 + 134*i + 258. Let v(k) = 20*k**3 - 31*k**2 - 671*k - 1293. Let r(g) = -11*f(g) - 2*v(g). Suppose r(n) = 0. What is n?
-3, 7
Let n(d) = 6*d**2. Let q be 6/(-18)*-3 - (-2)/1. Let w(h) = -11*h**2 + 1. Let m(a) = q*w(a) + 5*n(a). Factor m(i).
-3*(i - 1)*(i + 1)
Let y(j) be the second derivative of -j**6/15 + 2*j**5/5 + 7*j**4/6 - 34*j**3/3 + 24*j**2 - 64*j + 2. Let y(n) = 0. Calculate n.
-3, 1, 2, 4
Suppose t + 0 = 6. Suppose 6 + t = 3*y. Factor 6*o**3 - 6*o**3 - 3*o**2 + 2*o**3 + o**y.
o**2*(o - 1)*(o + 3)
Let t(a) be the third derivative of -1/5*a**5 + 1/120*a**6 + 2*a**4 - a**2 + 0*a + 4/3*a**3 + 0. Let q(k) be the first derivative of t(k). Factor q(f).
3*(f - 4)**2
Let h(f) = f + 12. Let b be h(-10). Suppose 4*w + 8 = 0, -2*z - 2*w = -4 + b. Factor 3*i - 2*i**z + 4*i**3 + 6*i**2 + i.
2*i*(i + 1)*(i + 2)
Let p(d) be the second derivative of -d**5/40 - d**4/12 - 30*d. Factor p(x).
-x**2*(x + 2)/2
Let h(p) = -p**2 + 7*p + 1. Let f be h(13). Let d = f - -157/2. Factor 3/4*t**3 - 9/4*t + d + 0*t**2.
3*(t - 1)**2*(t + 2)/4
Let z(t) be the first derivative of t**6/2 - 9*t**5/5 + 3*t**4/2 + 122. Suppose z(k) = 0. Calculate k.
0, 1, 2
Factor 3/7*l**2 + 0 - 2/7*l + 2/7*l**3.
l*(l + 2)*(2*l - 1)/7
Let j(s) be the third derivative of 0 + 0*s + 1/15*s**5 + 12*s**2 + 0*s**3 - 1/35*s**7 + 1/12*s**6 + 0*s**4. Solve j(v) = 0.
-1/3, 0, 2
Find u, given that 8/5 - 4/5*u**3 - 2/5*u**4 + 16/5*u + 6/5*u**2 = 0.
-2, -1, 2
Let s(j) be the first derivative of j**4/32 - 41*j**3/24 + 55*j**2/2 - 50*j - 71. What is v in s(v) = 0?
1, 20
Let p(d) be the second derivative of -5*d**8/1344 - d**7/84 - d**6/96 - 9*d**2/2 + 11*d. Let n(r) be the first derivative of p(r). Factor n(k).
-5*k**3*(k + 1)**2/4
Let j = -19 + 21. Let y be (j - -3) + 3 + -4. Determine s so that -82/7*s**2 + 50/7*s**5 - 48/7*s + 90/7*s**y - 8/7 - 2/7*s**3 = 0.
-1, -2/5, 1
Suppose 201 = 4*z + 57. Factor -235*w**4 - 15*w + 230*w**4 - 5*w**3 + z*w**2 - 11*w**2.
-5*w*(w - 1)**2*(w + 3)
Suppose -5*n = -10*n + 30. Find y such that 59*y**2 - 38*y**2 + 8*y**3 - n*y + 4*y**3 = 0.
-2, 0, 1/4
Let q(n) be the third derivative of 5*n**8/336 - 3*n**7/14 + 9*n**6/8 - 9*n**5/4 + 37*n**2. Factor q(u).
5*u**2*(u - 3)**3
Let w(h) be the second derivative of -h**8/2240 - h**7/840 + h**6/15 - h**5/2 - 5*h**4/6 + h**2 + h - 19. Let z(j) be the third derivative of w(j). Factor z(q).
-3*(q - 2)**2*(q + 5)
Let w(u) = 3*u**2. Let m(z) = 10*z**2 - 4*z. Let v(k) = m(k) - 3*w(k). Factor v(d).
d*(d - 4)
Let z be ((-3)/(-1))/((-59)/(-14) + -4). Suppose -z*x + 14 = -14. Factor 2/7*b**x + 0*b + 2/7*b**3 + 0.
2*b**2*(b + 1)/7
Let m(n) = -12*n**2 - 8*n - 2. Let r(j) = 1. Let b(i) = m(i) + 2*r(i). Factor b(a).
-4*a*(3*a + 2)
Suppose 3*f**3 - 48*f**2 + 7480*f - 7480*f = 0. Calculate f.
0, 16
Let x = 111 + -67. Let 48*w + x*w**2 + 16 + 6*w**3 + 2*w**3 + 4*w**3 = 0. Calculate w.
-2, -1, -2/3
Let w be (-15)/(-10)*16/(-6). Let a = -1 - w. What is p in 13*p**3 + p**a + 37*p - 18*p**2 - 33*p = 0?
0, 2/7, 1
Let l(a) be the first derivative of a**6/2 - 3*a**5/5 - 3*a**4 + 4*a**3 + 185. Find o such that l(o) = 0.
-2, 0, 1, 2
Suppose -3*w - 1 = -h + 2*w, 5*w - 20 = 0. Let g be (-1 + -2)*(-14)/h. Determine v so that -10*v + 5 + 0*v**2 + 3*v**2 + g*v**2 + 0*v**2 = 0.
1
Let y(v) be the second derivative of 0*v**3 + 1/7*v**4 + 1/35*v**5 + 0*v**2 + 0 + 11*v. Determine k so that y(k) = 0.
-3, 0
Suppose -146 + 160 = 5*z - f, -f + 1 = 0. Find a, given that 12/13*a**2 - 8/13*a + 2/13*a**4 - 16/13 + 10/13*a**z = 0.
-2, 1
Suppose 0*y + 2*y - j = 10, 0 = 2*y - 4*j - 16. Suppose 4*h**3 + 0*h**4 - 5*h**y - 3*h**4 + 4*h**5 = 0. Calculate h.
0, 1
Let t(r) = 8*r - 52. Let b be t(7). Let 35*o**b + 3*o**2 - 40*o**4 + 2*o**2 + 0*o**2 = 0. What is o?
-1, 0, 1
Suppose 4*z = -5*z + 162. Determine m, given that -10 + 32 - z - 12*m + 3*m**2 - 19 = 0.
-1, 5
Let j(c) be the third derivative of -c**5/180 + 89*c**4/36 - 7921*c**3/18 + 330*c**2. Factor j(h).
-(h - 89)**2/3
Let q(w) = w**3 - 2*w**2 + 6*w + 4. Let u be q(0). Find l such that -6*l**5 + 16*l**2 + 2*l**3 - 8 - 4*l - 18*l**4 + 10*l**u + 2*l**5 + 6*l**3 = 0.
-2, -1, 1
Let x = -474 - -1436/3. What is m in 0 + x*m**2 + 2/3*m**4 - 10/3*m**3 - 2*m = 0?
0, 1, 3
Factor 58*l**2 - 33*l**4 + 5*l**2 + 8*l**3 + 4*l**3 + 30*l**4.
-3*l**2*(l - 7)*(l + 3)
Suppose 19 = 5*b - 16. Let d = b + -47/7. Let 0 + 0*l - d*l**2 = 0. Calculate l.
0
Let w(p) = -p**2 + 18*p - 6. Let i be w(18). Let g be i/(-12)*(4 + 0). Factor -6/5*a**g - 2/5*a**3 + 2/5*a + 2/5*a**4 + 4/5.
2*(a - 2)*(a - 1)*(a + 1)**2/5
Factor 8/5*o**4 - 4/5*o**5 - 16/5*o**2 + 0 + 12/5*o**3 - 16/5*o.
-4*o*(o - 2)**2*(o + 1)**2/5
Let y = 1557 - 1554. Let u(x) be the second derivative of -6*x + 1/4*x**2 + 0 + 1/8*x**y + 1/48*x**4. Factor u(p).
(p + 1)*(p + 2)/4
Let w be 2/11 + 500/275. What is m in 2/13*m**w - 4/13*m + 0 + 6/13*m**3 = 0?
-1, 0, 2/3
Let z be (-2)/3*6/(-14). Let a = -275 - -275. Let -z*u + a + 2/7*u**2 = 0. Calculate u.
0, 1
Let k be (-2)/2*1*0. Suppose k = -3*w + 12 + 3. Let -4*f - 5*f**2 + 3*f**2 + w*f**2 - 2 - 5*f**2 = 0. Calculate f.
-1
Let p(r) be the second derivative of -5*r**7/14 + 25*r**6/6 + 13*r**5 - 25*r**4/3 - 78*r. Solve p(t) = 0.
-2, 0, 1/3, 10
Let z(y) be the first derivative of -3*y - 9*y**3 - 9/2*y**2 - 15/4*y**4 - 6. Let k(u) = u**3 + u**2 + u. Let n(p) = 18*k(p) + z(p). Factor n(c).
3*(c - 1)**3
Let d(g) be the first derivative of -g**3/6 + g**2/4 + g - 177. Factor d(j).
-(j - 2)*(j + 1)/2
Suppose 3*s = -3*c + 8*c + 9, 0 = -5*s - 2*c + 15. Factor -340*w**4 + 349*w**4 - 7*w**2 - s*w**5 - 5*w**2.
-3*w**2*(w - 2)**2*(w + 1)
Suppose 1132*b**3 - 81*b + 99*b**2 + b**4 + 1121*b**3 - 2272*b**3 = 0. Calculate b.
0, 1, 9
Find v such that 370 - 15*v**3 + 24*v**3 - 11*v**3 - 792*v - 76*v**2 - 999 - 667 = 0.
-18, -2
Let s(u) = -u**2 + 13*u - 42. Let o be s(9). Let y be (18/(-81))/(2/o). Factor -1/2*f - y + 1/6*f**2.
(f - 4)*(f + 1)/6
Let j(m) be the third derivative of -m**5/20 + 61*m**4/8 - 30*m**3 - 45*m**2 + m. Factor j(n).
-3*(n - 60)*(n - 1)
Suppose 1 - 3/2*a + 1/2*a**2 = 0. What is a?
1, 2
Let k = 103 - 195. Let b be 4/(-14) + k/(-28). Determine w so that b + 2*w + 5*w + 0*w - w + 3*w**2 = 0.
-1
Let q = -187 - -187. Let p(b) be the second derivative of 1/10*b**5 + 0*b**2 - 1/6*b**4 + 1/15*b**6 + 2*b + q - 1/3*b**3. Let p(k) = 0. Calculate k.
-1, 0, 1
Let s(i) be the second derivative of -1/120*i**6 - 1/6*i**3 + 20*i + 1/2*i**2 + 1/20*i**5 - 1/16*i**4 + 0. Factor s(r).
-(r - 2)**2*(r - 1)*(r + 1)/4
Let m(t) be the first derivative of -t**6/12 - 21*t**5/10 - 194. Factor m(i).
-i**4*(i + 21)/2
Suppose 346*f + v = 345*f - 1, 0 = 5*f - v - 25. Solve -34/11*x**3 + 0*x - 12/11*x**2 + 0 + 32/11*x**f + 14/11*x**5 = 0 for x.
-3, -2/7, 0, 1
Let x = 26 + -27. Let j be (-1440)/264 - 6/x. Find q such that j*q + 0 + 2/11*q**2 = 0.
-3, 0
Let o be 21 - (-5 + (-1 - -3)). Suppose -z = a - 0*a - 6, -3*a + o = 5*z. Factor -228*l**4 + 6*l - 1 + 162*l**z + 1 + 120*l**5 - 51*l**2.
3*l*(2*l - 1)**3*(5*l - 2)
Let m = -63604/195 + 4242/13. Factor 2/5*t**2 - m*t**4 + 0 + 0*t + 4/15*t**3.
-2*t**2*(t - 3)*(t + 1)/15
Let t(x) = 5*x - 2 + 0*x - x**2 - 3*x**2 + 3*x**2. Let l be t(3). Factor 6*h**5 - 10*h**4 - 2*h**3 + h**3 + l*h**3 + h**3.
2*h**3*(h - 1)*(3*h - 2)
Let b(h) be the second derivative of h**5/50 + 23*h**4/30 - h**3/15 - 23*h**2/5 + 310*h. Solve b(j) = 0.
-23, -1, 1
Factor -12/7*l**2 - 3*l + 30/7 + 3/7*l**3.
3*(l - 5)*(l - 1)*(l + 2)/7
Let t = 239/100 + -41/25. Let -t*m**2 - 3/2*m + 0 + 3/4*m**3 = 0. Calculate m.
-1, 0, 2
Let g(c) = 4 - 3 + 1 - 3 + c. Let d(a) = 2*a**2 + 4*a - 6. Let t = -43 + 45. Let l(w) = t*g(w) - d(w). Factor l(y).
-2*(y - 1)*(y + 2)
Let -3*j**4 - 1443*j**5 - 6*j**2 - 18*j**3 + 723*j**5 + 723*j**5 + 15*j + 6 + 3 = 0. Calculate j.
-1, 1, 3
Let g be (-16)/184 - 2814/(-6440). Let n(i) be the first derivative of -g*i**4 + 4/5*i + 3 - 3/5*i**3 + 6/5*i**2. Find d such that n(d) = 0.
-2, -2/7, 1
Let n(o) be the third derivative of 1/72*o**4 + 0*o + 0 - 1/30*o**6 - 1/40*o**5 - 32*o**2 - 13/1260*o**7 + 0*o**3. Factor n(h).
-h*(h + 1)**2*(13*h - 2)/6
Let r(b) be the third derivative of b**6/24 - b**5/12 + 75*b**2. Suppose r(y) = 0. 