5 + 3*k**4 = 0. Calculate k.
-2, -1, 1/2, 1
Let b = -3038/55 + 612/11. Factor -2/5*q**2 + 2/5*q**3 + 0 - b*q**5 + 2/5*q**4 + 0*q.
-2*q**2*(q - 1)**2*(q + 1)/5
Let u = 272667/23 - 11855. Factor -20/23*t**3 + 2/23 + 20/23*t**2 - 10/23*t - u*t**5 + 10/23*t**4.
-2*(t - 1)**5/23
Let q(k) = -3*k**2 + 41 + 19*k - 3*k**3 - 32 + 2*k**3. Let l be q(-6). Factor 12*c - 4*c - 5*c**3 - 7*c**l + 8*c**3 - 4*c**2.
-4*c*(c - 1)*(c + 2)
Let g(t) be the first derivative of 25/3*t**3 + 15/2*t**2 - 45*t + 5/4*t**4 - 9. Find k such that g(k) = 0.
-3, 1
Let o = -173 + 169. Let h be 5*o/(-4) + (-4 - -2). Factor 4/17*l**2 - 2/17*l + 2/17*l**h - 4/17.
2*(l - 1)*(l + 1)*(l + 2)/17
Factor -5/2*o**3 + 0*o - 25/2*o**2 + 0.
-5*o**2*(o + 5)/2
Let u be (-105)/(-6)*(-16)/(-56). Let r(z) be the third derivative of -1/12*z**4 + 0*z**3 + 0*z + 0 + z**2 - 2/15*z**u. Factor r(a).
-2*a*(4*a + 1)
Solve 44/7*k**4 - 16/7*k - 44/7*k**2 + 10/7*k**5 + 6/7*k**3 + 0 = 0 for k.
-4, -1, -2/5, 0, 1
Let o(f) = 11*f - 14. Let i be o(2). What is g in -3*g**4 - i*g**3 + 11*g**3 - 3*g**5 + 5*g**2 - 2*g**2 = 0?
-1, 0, 1
Let y(p) = -8*p**2 - 6*p + 2. Let r be y(-2). Let h = r + 18. Find b, given that 0*b + 1/2*b**2 - 1/2*b**4 + 0*b**3 + h = 0.
-1, 0, 1
Let c(b) = -b - 2. Let z be c(0). Let s be (18/(-8) - z) + 468/336. Find d such that -s*d - 2/7*d**3 + 0 + 8/7*d**2 = 0.
0, 2
Let x(f) be the first derivative of 4*f**3/9 - 2*f**2 + 18. Factor x(b).
4*b*(b - 3)/3
Let u(t) be the first derivative of t**6/3 - 2*t**5/5 - 3*t**4/2 + 2*t**3/3 + 2*t**2 - 564. Determine i, given that u(i) = 0.
-1, 0, 1, 2
Determine f so that -1/4*f**2 + 0*f + 9 = 0.
-6, 6
Factor 18*q**2 - 208*q - 14*q**2 + 55 - 267.
4*(q - 53)*(q + 1)
Let d be 6 - (-11)/(55/(-28)) - (-8)/30. Factor 0 + d*s**3 + 0*s**4 + 0*s**2 - 1/3*s**5 - 1/3*s.
-s*(s - 1)**2*(s + 1)**2/3
Let t be -4 + (-2 + 4 - 2). Let q = 4 + t. Suppose 4*l**3 - 2*l**2 + 3*l**2 + q*l**3 - 5*l**3 = 0. What is l?
0, 1
Let y = -69837/5 - -13968. Let -12/5 - y*g**3 + 3/5*g**2 + 12/5*g = 0. What is g?
-2, 1, 2
Let o(j) = 10*j**4 - 85*j**3 + 160*j**2 - 80*j + 10. Let k(s) = -2*s + 1. Let a(t) = 10*k(t) - o(t). Factor a(b).
-5*b*(b - 6)*(b - 2)*(2*b - 1)
Let z(d) be the third derivative of -1/45*d**6 + 1/1008*d**8 + 0*d + 4/45*d**5 + 13*d**2 - 1/315*d**7 + 0 - 16/9*d**3 + 2/9*d**4. Suppose z(k) = 0. Calculate k.
-2, 2
Let b(n) be the first derivative of -3*n**4 - 4*n**3 + 45*n**2/2 + 54*n + 55. Factor b(p).
-3*(p - 2)*(2*p + 3)**2
Factor -12/7*r**3 - 45/7 + 186/7*r - 3*r**2.
-3*(r - 3)*(r + 5)*(4*r - 1)/7
Suppose -2*o - 56 = -c, -2*o = 3*o + c + 147. Let q = -14 - o. Find u such that -9 + 8*u**2 - q*u + 12*u + 4*u**2 = 0.
-3/4, 1
Suppose -75 = m + 82 - 160. What is a in 0*a + 2/3*a**4 + 3*a**5 + 0 - 2/3*a**2 - 3*a**m = 0?
-1, -2/9, 0, 1
Let p(c) = 37*c**3 + c - 1. Let r be p(1). Factor r*s**3 + 20 - 22*s**3 + 25*s - 15*s**2 - 40*s**3 - 4*s**4 - s**4.
-5*(s - 1)*(s + 1)**2*(s + 4)
Let z be 17/17 - (-1 - -2 - 2). Find l such that -9/5*l**4 + 7/5*l**z + 11/5*l + 2/5 - 11/5*l**3 = 0.
-1, -2/9, 1
Solve -11/2 - 2*m**2 + 1/4*m**3 - 31/4*m = 0.
-2, -1, 11
Suppose 7*k = -2*x, 3*k + x + 4 - 3 = 0. Solve -12/5 - 16/15*l**k - 14/5*l - 2/15*l**3 = 0.
-3, -2
Factor -3/7*p**2 - 48/7 + 24/7*p.
-3*(p - 4)**2/7
Let h = -45 - -101. Suppose -h = 3*o + o. Let b(i) = 3*i**3 - 6*i**2 - 3*i + 6. Let q(c) = -c**3 + 2*c**2 + c - 2. Let u(p) = o*q(p) - 4*b(p). Factor u(k).
2*(k - 2)*(k - 1)*(k + 1)
Let j = 251 + -246. Let c(p) be the third derivative of 0*p**6 + 2*p**2 + 1/210*p**7 + 0*p**4 + 0*p + 0*p**3 - 1/60*p**j + 0. Factor c(f).
f**2*(f - 1)*(f + 1)
Let f(b) = -b**3 - b**2 + 3*b - 6. Let n(o) = -o**3 + 2*o - 4. Let y(c) = -c**2 + 19. Let h be y(5). Let z(g) = h*n(g) + 4*f(g). Let z(x) = 0. What is x?
0, 2
Factor 2/17*z**2 - 344/17*z + 14792/17.
2*(z - 86)**2/17
Let o(p) = p**2 - 6*p. Let k be o(0). Let i(y) be the third derivative of k + 1/16*y**4 - 1/80*y**6 + 0*y**3 + 0*y**5 + y**2 + 0*y. Factor i(b).
-3*b*(b - 1)*(b + 1)/2
Let m(t) be the first derivative of -2*t**5/5 + t**4 + 8*t**3 + 14*t**2 + 10*t - 90. Determine x, given that m(x) = 0.
-1, 5
Let d = 1629 - 1626. Solve 0 + p - 7/3*p**2 + 5/3*p**d - 1/3*p**4 = 0.
0, 1, 3
Let q(s) be the first derivative of -4*s**3/3 + 4*s + 275. Factor q(m).
-4*(m - 1)*(m + 1)
Let v(h) = -7*h**2 + 39*h - 9. Let l(n) = n**2 + n + 1. Let u(t) = -18*l(t) - 2*v(t). Let u(i) = 0. Calculate i.
-24, 0
Let n(b) be the third derivative of b**5/12 - 5*b**4/6 - 57*b**2. Solve n(y) = 0 for y.
0, 4
Let k = 38261/13 + -2943. Let -14/13*l + 16/13*l**2 + k*l**5 + 4/13 - 4/13*l**3 - 4/13*l**4 = 0. Calculate l.
-2, 1
Let p(h) be the first derivative of -1/30*h**5 + 0*h**2 - 1/24*h**4 + 1/36*h**6 + 1/18*h**3 + 0*h - 9. Factor p(g).
g**2*(g - 1)**2*(g + 1)/6
Let l(w) = w + 8. Let q be l(-5). Suppose q*j + j - 124 = 0. Factor 9*g + 8 + 10*g - j*g + 4*g**3.
4*(g - 1)**2*(g + 2)
Let r(t) = -4*t**5 + 4*t**4 - 4*t**3 - 4*t**2 + 4. Let q = 8 - 12. Let b(z) = -z**4 - z**3 + z**2 - z + 1. Let m(w) = q*b(w) + r(w). Solve m(h) = 0 for h.
-1, 0, 1
Let u(y) = -6*y**2 + 509*y - 30. Let q(s) = -9*s**2 + 763*s - 42. Let f(g) = 5*q(g) - 7*u(g). Find h, given that f(h) = 0.
0, 84
Let z be (-2 - 20/(-8))*4. Find v such that -16 - 53*v - 4*v**2 - 16*v**z + 5*v = 0.
-2, -2/5
Let m(a) be the second derivative of a**6/480 + a**5/240 + 5*a**2/2 - 22*a. Let b(f) be the first derivative of m(f). Determine v, given that b(v) = 0.
-1, 0
Let l = 168 - 165. Let n(w) be the second derivative of 0 - 2*w**4 - 3/4*w**5 + 0*w**2 - 2*w**l - 2*w - 1/10*w**6. Find g such that n(g) = 0.
-2, -1, 0
Let f = 11365 - 68189/6. Factor -14641/6 - 2662/3*p - 22/3*p**3 - f*p**4 - 121*p**2.
-(p + 11)**4/6
Let m(l) be the third derivative of -3*l**7/70 + 313*l**6/120 - 1261*l**5/30 - 291*l**4/2 - 108*l**3 + l**2 - 27. Factor m(x).
-(x - 18)**2*(x + 1)*(9*x + 2)
Let r(s) be the third derivative of s**6/180 - 7*s**5/45 - 115*s**4/36 - 100*s**3/9 + 1011*s**2. Factor r(k).
2*(k - 20)*(k + 1)*(k + 5)/3
Find o such that -2262*o - 7863*o - 190*o**3 - 1610*o**2 + 55*o**3 - 3*o**4 - 415*o**2 = 0.
-15, 0
Let m = -45 - -77. Suppose m - 48*u + 83*u**2 - 76*u**2 - 20*u**3 - 79*u**2 = 0. Calculate u.
-2, 2/5
Let i = -138/283 + 1256/1415. Factor -8/5*h - 6/5 - i*h**2.
-2*(h + 1)*(h + 3)/5
Let a = 234 - 198. Let v be (10/6)/(2*10/a). Solve -1/4*n**v + 1/4*n**2 - 1/4 + 1/4*n = 0 for n.
-1, 1
Factor 12 + 8*c - 44*c**4 + 19*c**4 + 32*c**2 - 8*c**3 + 29*c**4 - 48*c**2.
4*(c - 3)*(c - 1)*(c + 1)**2
Let x(v) be the second derivative of 1/90*v**5 + 0 - 8*v - 3*v**2 + 1/180*v**6 + 0*v**4 + 0*v**3. Let w(k) be the first derivative of x(k). Factor w(g).
2*g**2*(g + 1)/3
Let b(t) = -t**2 - 7*t - 2. Let m be b(-6). Factor 0*l + l**2 - 2*l**2 - 4*l**2 + 10*l + 5*l**m - 10*l**3.
5*l*(l - 2)*(l - 1)*(l + 1)
Let r(w) be the third derivative of 289*w**5/180 + 119*w**4/18 + 98*w**3/9 - 595*w**2. Factor r(o).
(17*o + 14)**2/3
Let i = 875 - 869. Let z(t) be the first derivative of 0*t**3 + 0*t**4 + 7 - 2/55*t**5 + 0*t**2 + 0*t - 1/33*t**i. Let z(k) = 0. What is k?
-1, 0
Factor -3/4*z + 1 - 1/4*z**2.
-(z - 1)*(z + 4)/4
Let y = -367/2 + 185. Let w(t) be the first derivative of 1 + 0*t**2 - y*t**4 + 0*t + 3/5*t**5 + t**3. Find s such that w(s) = 0.
0, 1
Let b(v) be the third derivative of 0 + 3*v**2 - 1/540*v**6 - 1/90*v**5 + 0*v + 1/108*v**4 + 1/9*v**3. Let b(r) = 0. What is r?
-3, -1, 1
Let i(m) = m**3 - m**2 + 1. Let x(g) = 143*g**2 - 6912*g + 110593. Let k(f) = -5*i(f) + 5*x(f). Determine s so that k(s) = 0.
48
Let v(y) be the second derivative of -1/30*y**4 + 1/20*y**5 + 0*y**3 + 0 - 3*y + 0*y**2 + 7/150*y**6. Solve v(t) = 0 for t.
-1, 0, 2/7
Let r(w) be the third derivative of -w**7/105 - 3*w**6/10 - 37*w**5/30 + 33*w**4 - 484*w**3/3 - 5*w**2 - 12. Factor r(d).
-2*(d - 2)**2*(d + 11)**2
Suppose 7*b - 11*b = 0. What is s in -2*s**3 - 3*s**3 + b*s**3 + 6*s**4 + 0*s**4 + s**2 = 0?
0, 1/3, 1/2
Let j(p) be the first derivative of 1/4*p**4 + 2*p**3 - 3/10*p**5 + 0*p - 1/12*p**6 + 3 + 2*p**2. Determine b, given that j(b) = 0.
-2, -1, 0, 2
Let u = 38 + -29. Let o be (-3 + u)/(3 + -1). Factor -2 + 6*j**2 - j**2 - o*j**2.
2*(j - 1)*(j + 1)
Suppose 3*s = -2*s - 2*d + 10, -4*d = -5*s + 10. Factor 8*k + s*k**3 + 28*k**2 - 40*k**2 + 11*k - k.
2*k*(k - 3)**2
Let 11*u + 0*u*