ivative of 4*q**3/3 + 19*q**2/3 + 28*q/3 - 148. Factor s(k).
2*(k + 2)*(6*k + 7)/3
Let f(o) = -2*o**2 + 9*o + 5. Let c(n) = n**2 - n + 1. Let m(s) = -6*c(s) - 2*f(s). Factor m(j).
-2*(j + 2)*(j + 4)
Let r(v) be the third derivative of -3*v**7/560 - 19*v**6/320 - 29*v**5/160 - 13*v**4/64 - 203*v**2. Solve r(d) = 0.
-13/3, -1, 0
Let g(z) be the third derivative of -z**5/120 - 5*z**4/24 + 11*z**3/12 - 54*z**2. Determine w, given that g(w) = 0.
-11, 1
Suppose 0 = h + 3 + 5. Let n be (-8)/64 - 25/h. Find u, given that 0 + 1/5*u**4 + 2/5*u + 4/5*u**n + u**2 = 0.
-2, -1, 0
Let o(h) be the first derivative of -2*h**6/27 - 4*h**5/45 + 7*h**4/9 + 52*h**3/27 + 4*h**2/3 + 117. What is x in o(x) = 0?
-2, -1, 0, 3
Let u(o) = -314*o**2 - 278*o + 22. Let t(j) = -105*j**2 - 93*j + 7. Let w(r) = -14*t(r) + 5*u(r). Factor w(y).
-4*(y + 1)*(25*y - 3)
Let x(l) be the first derivative of -15*l**4/4 + 8*l**3 + 6*l**2 + 141. Factor x(g).
-3*g*(g - 2)*(5*g + 2)
Factor -445*x**3 - 2240*x + 2*x**4 + 33*x**4 - 63 - 737 + 1830*x**2.
5*(x - 5)*(x - 4)**2*(7*x + 2)
Let b(g) = g**3 + 8*g**2 - 10*g - 6. Let t be b(-9). Let 6*o**2 - 199*o + 3*o**t - 3*o**4 + 199*o = 0. Calculate o.
-1, 0, 2
Let x(a) = a**2 + 106*a - 3430. Let f be x(26). Solve 24/5*v**4 + 2*v**5 - 24/5*v**f - 2/5*v**3 + 0 - 8/5*v = 0 for v.
-2, -1, -2/5, 0, 1
Let w be (3 + 1)*(-3)/(-4). Suppose -x**2 - w + 15*x - 39*x + 20*x = 0. What is x?
-3, -1
Let y(m) be the second derivative of m**6/165 + 5*m**5/11 + 136*m**4/11 + 4046*m**3/33 - 4913*m**2/11 - 169*m. Determine i, given that y(i) = 0.
-17, 1
Factor -111/2*a + 60*a**2 - 9/2.
3*(a - 1)*(40*a + 3)/2
Let l(n) be the first derivative of n**5/80 + n**4/16 + n**3/12 + 19*n - 16. Let s(q) be the first derivative of l(q). Factor s(v).
v*(v + 1)*(v + 2)/4
Factor 3244 + 1091*h - 43*h + 2*h**4 + 1382*h - 328 + 58*h**3 + 594*h**2.
2*(h + 2)*(h + 9)**3
Let z(f) be the second derivative of -2*f - 1/5*f**2 + 0 + 8/25*f**5 + 3/5*f**3 - 4/5*f**4. Factor z(q).
2*(q - 1)*(4*q - 1)**2/5
Let p(h) be the third derivative of h**8/504 - h**7/315 - h**6/20 - 11*h**5/90 - h**4/9 - 10*h**2 + 4. Factor p(m).
2*m*(m - 4)*(m + 1)**3/3
Let z(b) = -b**3 + 31*b**2 - 367*b + 1331. Let c(a) = -a**2 - 2*a. Let q(n) = -6*c(n) + 3*z(n). What is t in q(t) = 0?
11
Let i(o) be the second derivative of o**6/120 + 9*o**5/40 - o**4/48 - 3*o**3/4 + o + 456. Let i(t) = 0. Calculate t.
-18, -1, 0, 1
Factor -72 - 1/2*y**2 + 12*y.
-(y - 12)**2/2
Suppose 3*g + 0*g = 759. Factor 0*q**3 - 8 + 20*q - 269*q**2 + g*q**2 + 4*q**3.
4*(q - 2)*(q - 1)**2
Suppose -3*j = 21 - 30. Let s(u) be the third derivative of 1/3*u**j + 0*u + 5*u**2 + 0 + 7/24*u**4 + 1/12*u**5. Factor s(r).
(r + 1)*(5*r + 2)
Let v(m) be the second derivative of -m**7/21 - 2*m**6/3 - 19*m**5/5 - 34*m**4/3 - 19*m**3 - 18*m**2 - 74*m. Let v(r) = 0. Calculate r.
-3, -2, -1
Let x(g) be the third derivative of -g**5/270 - 11*g**4/108 - 8*g**3/9 + 162*g**2. Let x(j) = 0. Calculate j.
-8, -3
Suppose -6*x = 28*x. Let s be 33/18 - 2/(-12). Find c such that 0*c - 6/7*c**4 + 6/7*c**3 - 2/7*c**s + x + 2/7*c**5 = 0.
0, 1
Let c = -7/275 + 289/550. Solve 1/4 + 1/4*t**2 - c*t = 0.
1
Factor -4/3*w + 4/3*w**2 - 4/3*w**4 + 4/3*w**3 + 0.
-4*w*(w - 1)**2*(w + 1)/3
Factor 86074 - 2*h**3 - 86074 - 208*h**2.
-2*h**2*(h + 104)
Let h = -223/4 + 225/4. Factor -h*b**2 - b - 1/2.
-(b + 1)**2/2
Let n(p) be the third derivative of 5*p**6/6 + 131*p**5/3 - 268*p**4/3 + 72*p**3 + 15*p**2. Factor n(y).
4*(y + 27)*(5*y - 2)**2
Let x(h) = -19*h**2 + 15*h. Let r(w) = 5*w**2 - 4*w. Let m(f) = 22*r(f) + 6*x(f). Let j(c) = -c**2. Let d(a) = -6*j(a) + 2*m(a). Determine p so that d(p) = 0.
0, 2
Let q(i) = -7*i**2 + 17*i - 16. Let v(m) = 8*m**2 - 18*m + 17. Let g(d) = -7*q(d) - 6*v(d). Determine c, given that g(c) = 0.
1, 10
Let d(a) be the third derivative of -a**7/630 + 11*a**6/120 - 143*a**5/90 + 8*a**4/3 + 256*a**3/9 - a**2 + 74. Factor d(t).
-(t - 16)**2*(t - 2)*(t + 1)/3
Let a be (-3)/(-15)*-2 - 54/(-10). Let -2/15*b**a + 2/5*b**3 + 2/15*b**4 + 0 - 2/3*b**2 + 4/15*b = 0. What is b?
-2, 0, 1
Let o(d) be the third derivative of -d**5/110 - 7*d**4/66 + 5*d**3/33 - 379*d**2. Let o(n) = 0. Calculate n.
-5, 1/3
Determine y, given that -1/3*y**2 - 332/3*y - 27556/3 = 0.
-166
Let t(x) be the second derivative of -1/2*x**2 - 9*x + 3/40*x**5 + 0 + 1/6*x**4 - 5/12*x**3. Factor t(g).
(g - 1)*(g + 2)*(3*g + 1)/2
Let g(i) = i**4 + i**3 - i**2 - 1. Let x(w) = 10*w**4 - 3*w**3 - 10*w**2 + 12*w - 9. Let p(a) = 36*g(a) - 4*x(a). Suppose p(c) = 0. What is c?
-1, 0, 1, 12
Let v(z) = -4*z**3 + 68*z**2 - 152*z - 53. Let b(a) = 9*a**3 - 136*a**2 + 305*a + 105. Let x(k) = -3*b(k) - 5*v(k). Factor x(n).
-(n - 5)**2*(7*n + 2)
Suppose j = r + 8, -257*r + 260*r = j - 20. Solve 0*o**3 - o**j + 1/5*o**4 + 0*o + 4/5 = 0.
-2, -1, 1, 2
Let j(d) = -4*d**2 - 20*d - 72. Let x(q) = -8*q**2 - 41*q - 135. Let h(p) = 7*j(p) - 4*x(p). Find l, given that h(l) = 0.
-3
Suppose 2*r + 0*r + 4 = 3*k, -3*k + 28 = 4*r. Suppose 3*q - 3*d = -3, 3*q + r*d = 27 - 2. What is b in 0*b + 0 - 2/3*b**q + 0*b**2 - 1/6*b**5 - 2/3*b**4 = 0?
-2, 0
Let m(j) = 2*j - 4. Let o(z) = z - 1. Let d(t) = m(t) - o(t). Let a be d(5). Find n such that -n + 15 - 15 - n**a = 0.
-1, 0
Let h = -65 - -49. Let q be (-1)/((-50)/18 - h/(-72)). Factor 1/3*m - 1/3*m**2 + 1/3 - q*m**3.
-(m - 1)*(m + 1)**2/3
Suppose k + o - 1 = -2*o, -k + 13 = -o. Let u = -2 - -2. Suppose u*v**3 + 16*v**2 - v + 3*v + k*v**3 - 4 + 0*v = 0. What is v?
-1, 2/5
Let h(u) be the first derivative of -u**4/14 + 2*u**3/21 + 5*u**2/7 + 6*u/7 - 23. Factor h(p).
-2*(p - 3)*(p + 1)**2/7
Let s(w) be the third derivative of -w**6/420 + 18*w**5/35 - 243*w**4/7 - 151*w**2. Factor s(t).
-2*t*(t - 54)**2/7
Let r be 1 + (0 - -3) - (-54)/(-6). Let b be r - (5 - 12) - 2. Determine g so that -2/5*g**3 + 0*g**4 + 1/5*g + 1/5*g**5 + b + 0*g**2 = 0.
-1, 0, 1
Let l = -2555/18 + 142. Let k(a) be the second derivative of a + 0 + 0*a**2 - 1/9*a**3 + l*a**4. Factor k(t).
2*t*(t - 1)/3
Let b = 376/5 + -75. Let j(u) be the first derivative of 1/10*u**4 + 4/15*u**3 + b*u**2 + 0*u + 2. Let j(c) = 0. Calculate c.
-1, 0
Let h = -36 - -39. Let t = 156 + -1402/9. Factor 0 - t*z**2 + 0*z - 2/9*z**4 + 4/9*z**h.
-2*z**2*(z - 1)**2/9
Let o(w) be the third derivative of -w**9/33264 + w**8/6160 - w**7/4620 - 10*w**3/3 + 2*w**2. Let x(i) be the first derivative of o(i). Factor x(u).
-u**3*(u - 2)*(u - 1)/11
Let z = 840 + -835. Let b(m) be the second derivative of 5*m + 1/2*m**3 + 0 + m**2 - 1/30*m**6 - 1/12*m**4 - 3/20*m**z. Factor b(k).
-(k - 1)*(k + 1)**2*(k + 2)
Let o = 2 + -2. Let u(w) be the second derivative of 1/9*w**3 + 1/5*w**6 + o*w**2 + 7/18*w**4 - 2*w + 0 + 1/2*w**5. Find l such that u(l) = 0.
-1, -1/3, 0
Let k = -34 - -44. Suppose -k*u = -u - 18. Let -2/7*g**u + 2/7*g + 0 = 0. What is g?
0, 1
Let s be 202/(-303)*-2*(6/(-8) - -1). Solve 0*u - s*u**3 + 0*u**4 + 0 + 1/3*u**5 + 0*u**2 = 0 for u.
-1, 0, 1
Let i(w) = 22*w**5 - 191*w**4 - 141*w**3 - 10*w. Let x(m) = -12*m**5 + 95*m**4 + 71*m**3 + 6*m. Let j(v) = -3*i(v) - 5*x(v). Determine a, given that j(a) = 0.
-2/3, 0, 17
Let s(w) be the third derivative of -7/660*w**6 - 2/385*w**7 + 0*w + 0*w**4 + 0*w**3 - 1/330*w**5 - 40*w**2 + 0. Find d such that s(d) = 0.
-1, -1/6, 0
Let u = -200 - -200. Let s(y) be the second derivative of 2*y + 3/20*y**5 - 1/8*y**4 + 0 + u*y**2 - 1/4*y**3. Suppose s(g) = 0. What is g?
-1/2, 0, 1
Let s be 3 - ((-2)/(-2) + 0). Find k, given that 0*k - 7*k**2 + k**s - 4*k**3 + 2*k**4 + 8 + 8*k = 0.
-1, 2
Let t = 298/3 - 296/3. Let x(n) be the first derivative of 3*n**2 - t*n**3 - 3/2*n**4 + 4*n + 3 - 2/5*n**5. Factor x(m).
-2*(m - 1)*(m + 1)**2*(m + 2)
Suppose 322*w - 129*w = 137*w + 168. What is z in 1/2*z**5 + 0 + 3*z**w + 2*z**2 + 2*z**4 + 1/2*z = 0?
-1, 0
Factor -13/3*d + 4/3 + 3*d**2.
(d - 1)*(9*d - 4)/3
Let f = -36 - -48. Determine m, given that -55*m**2 - f*m**3 - 78 - 26*m + 58 - 34*m - 3*m**3 = 0.
-2, -1, -2/3
Let x be 1 - (-9)/(-8) - 13061/(-14120). Determine k, given that -18/5*k**3 - 2/5*k**5 - x*k + 0 - 14/5*k**2 - 2*k**4 = 0.
-2, -1, 0
Let o(u) be the first derivative of u**7/210 - u**6/90 + 4*u**3 + 5. Let b(r) be the third derivative of o(r). Let b(k) = 0. What is k?
0, 1
Let b be (546/(-65) - -7)*4/(-14). Let m(k) be the second