+ 10*z**l.
-5*z*(z - 2)*(z - 1)*(z + 1)
Let v be -162*(6/(-30))/((-4)/(-30)). Let r(m) be the second derivative of 1/5*m**6 + 1/21*m**7 + 0 - 9*m**4 + 10*m + 27*m**3 - 9/5*m**5 + v*m**2. Factor r(b).
2*(b - 3)**2*(b + 3)**3
Suppose 53*c + 66 = 64*c. Let g be (-2)/c - 138/(-90). Suppose 0 + 0*h - 3/5*h**3 + g*h**2 = 0. What is h?
0, 2
Let f(l) be the first derivative of 4*l**5/5 - 5*l**4 - 630. Factor f(s).
4*s**3*(s - 5)
Let t(l) be the second derivative of -3*l**7/35 + 32*l**6/75 - l**5/25 - 22*l**4/15 + 11*l**3/15 + 12*l**2/5 - 2*l - 319. Suppose t(u) = 0. Calculate u.
-1, -4/9, 1, 3
Let c(j) be the first derivative of j**5/20 + 5*j**4/4 + 39*j**3/4 + 81*j**2/4 + 1556. Factor c(f).
f*(f + 2)*(f + 9)**2/4
Let l be 2/(-2 - -10 - (-1430)/(-195)). Factor 7/3*w**3 + 0*w + l*w**4 - 2/3*w**2 + 0.
w**2*(w + 1)*(9*w - 2)/3
Let n be 10/165 + (-776)/(-264). Let p be (1 - 0)/((-1)/(-23)). Factor -g**2 - g**2 + 0*g**2 + g**n + p - 4*g - 15.
(g - 2)**2*(g + 2)
Suppose -6686 + 16514 = 21*u. Factor 40 + 141*r**4 + u*r + 102*r**4 + 20 - 1350*r**3 + 579*r**2.
3*(r - 5)*(r - 1)*(9*r + 2)**2
Find r, given that 114*r**3 + 336*r**2 - 16155*r + 15*r**4 - 24*r**4 - 135 + 15849*r = 0.
-3, -1/3, 1, 15
Let m be 10/90 + (-7)/(756/(-150)). Let f(t) be the first derivative of -5/8*t**2 - 6 + 1/12*t**3 + m*t. Find u such that f(u) = 0.
2, 3
Let a = -2 + -31. Let y be a/(-7) + (-4)/(-14). Factor 16*j + y*j**3 - 12*j - 9*j.
5*j*(j - 1)*(j + 1)
Let x = 499 - 501. Let v be (-2*x/(-10))/(16/(-72)). Factor -46/5*i**2 - 6*i**3 - v - 1/5*i**5 - 33/5*i - 9/5*i**4.
-(i + 1)**3*(i + 3)**2/5
Find d, given that -553/2*d**3 + 93519144481/8 + 917427/4*d**2 + 1/8*d**4 - 169112377/2*d = 0.
553
Let m be ((-274)/16 + 15)*-2 - (-17)/(-34). Suppose 39/4*u + 21*u**2 + m*u**3 - 15/2 = 0. Calculate u.
-5, -1, 2/5
Determine q, given that -361*q - 409*q + 1120*q - 3*q**3 - 392*q - 936 + 81*q**2 = 0.
-3, 4, 26
Let m(s) = 21*s**2 - 53*s - 12. Let j(n) = -7*n**2 + 18*n + 4. Let v(r) = -2*r**2 + r + 4. Let x be v(-2). Let g(u) = x*m(u) - 17*j(u). Factor g(o).
-(o - 2)*(7*o + 2)
Let h be 38/(-95) - ((-34)/(-30))/((-80)/240). Factor -2/3*y + 2/9 + 2/3*y**2 - 2/9*y**h.
-2*(y - 1)**3/9
Let k be -550 + 4/12*6. Let a = k + 550. Suppose -2/3*l - 8/9 + 2/9*l**a = 0. Calculate l.
-1, 4
Let x(l) be the second derivative of l**4/30 + 874*l**3/15 + 190969*l**2/5 + 1706*l. Solve x(d) = 0.
-437
Let h(n) be the third derivative of n**2 - 2/105*n**6 + 0*n**3 + 5/21*n**4 - 1/15*n**5 - 2 + 2/735*n**7 + 0*n. Factor h(q).
4*q*(q - 5)*(q - 1)*(q + 2)/7
Let b(v) be the second derivative of v**8/5880 - v**7/735 + v**6/315 + 23*v**3/6 - 126*v. Let k(p) be the second derivative of b(p). Solve k(f) = 0 for f.
0, 2
Let i(u) be the second derivative of -u**6/2520 + u**5/210 - 12*u**3 + 14*u + 4. Let l(p) be the second derivative of i(p). Factor l(n).
-n*(n - 4)/7
Let s = 54768/17 + -601564/187. Factor 338/11 + 2/11*i**2 - s*i.
2*(i - 13)**2/11
Find d, given that -3/5*d**4 + 0 - 6/5*d + 1/5*d**5 - 3*d**3 - 17/5*d**2 = 0.
-1, 0, 6
Let i(d) be the second derivative of -d**4/54 - 392*d**3/27 - 38416*d**2/9 - 84*d. Factor i(q).
-2*(q + 196)**2/9
Let t be -3 + (0 - -10 - 5). Let 0*r**t + 16*r - r**2 - 20*r - 3 = 0. Calculate r.
-3, -1
Suppose -47*x + 6 = -41*x. Let n(w) = -w**4 + w**3 - w**2. Let q(b) = -6*b**4 + 6*b**3 + 6*b**2 + 6*b. Let j(s) = x*q(s) - 4*n(s). Factor j(y).
-2*y*(y - 3)*(y + 1)**2
Let o(r) be the first derivative of 2*r**3/3 + 36*r**2 + 136*r + 422. Factor o(v).
2*(v + 2)*(v + 34)
Let g(j) be the third derivative of j**6/40 + 231*j**5/10 + 921*j**4/8 + 230*j**3 + 10700*j**2. Suppose g(v) = 0. What is v?
-460, -1
Let x = 10/14017 - -41981/98119. Let 0*n + x*n**5 - 9/7*n**4 + 3*n**2 - 12/7 - 3/7*n**3 = 0. Calculate n.
-1, 1, 2
Factor 1/3*v**3 - 135 + 93*v - 17*v**2.
(v - 45)*(v - 3)**2/3
Let r(t) be the second derivative of -1/3*t**3 - 6*t + 7/30*t**6 + 5/42*t**7 - 3/20*t**5 - 7/12*t**4 + 0 + 0*t**2. Factor r(z).
z*(z - 1)*(z + 1)**2*(5*z + 2)
Let d(o) = 2*o**2 - 10*o - 9. Let t be d(9). Let r = 79 - t. Factor -r*s**2 + 6 + 377*s - 7*s**3 + 0*s**3 - 360*s.
-(s - 1)*(s + 3)*(7*s + 2)
Let l be (-5 + 56/12)*42. Let q be (48/(-20))/((l/7)/1). Let -36/5*t**3 - 24/5*t**4 - q*t**5 - 24/5*t**2 - 6/5*t + 0 = 0. What is t?
-1, 0
Let v = 531 - 539. Let o(n) = -n**3 - 14*n**2 + 3*n. Let a(d) = 5*d**2 - d. Let w(r) = v*a(r) - 3*o(r). What is u in w(u) = 0?
-1, 0, 1/3
Let c(t) = -52*t**2 + 9622*t - 370. Let z be c(185). Suppose -3/4*v**5 - 79/4*v**4 + 0 + z*v + 55/4*v**3 + 27/4*v**2 = 0. Calculate v.
-27, -1/3, 0, 1
Solve 949442/5 + 1378/5*g + 1/10*g**2 = 0 for g.
-1378
Let k = -112/11 + 459/44. Find s such that -1/4*s**3 + 1/4*s + k*s**4 + 0 - 1/4*s**2 = 0.
-1, 0, 1
Let n = -497073 + 497078. Determine u, given that 52/7*u + 3/7*u**3 - 1/7*u**n + 4/7*u**4 - 24/7 - 34/7*u**2 = 0.
-3, 1, 2
Let d(o) be the third derivative of -o**9/60480 + o**8/20160 + o**7/840 - o**5/5 - o**3/6 - 4*o**2. Let p(m) be the third derivative of d(m). Factor p(g).
-g*(g - 3)*(g + 2)
Let c be (2 - -142) + (-9)/((-18)/8). Let b be 14/(-2) + c/20. Find i, given that 0*i**3 + 0*i + b*i**4 - 2/5*i**2 + 0 = 0.
-1, 0, 1
Suppose -19*u = -14*u - 25. Let k(o) be the third derivative of 1/3*o**3 - 4*o**2 + 0 - 1/60*o**u + 0*o + 1/24*o**4. Suppose k(j) = 0. Calculate j.
-1, 2
Let l be 5 + (-70)/21 + 144/27. Let i(m) be the third derivative of 0*m**3 + 0*m - 6*m**2 + 0*m**6 - 1/36*m**4 + 1/60*m**5 - 1/630*m**l + 0. Factor i(q).
-q*(q - 1)**2*(q + 2)/3
Let s be (-3)/(-15) - (-3 - 16/(-5)). Suppose s = -7*g + 8 + 34. Solve -4*n - n**2 - 7 + g + 10*n + 8 = 0 for n.
-1, 7
Let l(s) = -2*s**2 - 25*s - 24. Let h be l(-11). Let z be (-4)/((-120)/h) + 24/20. Factor -27/4*t**2 + z - 21/4*t.
-3*(t + 1)*(9*t - 2)/4
Suppose 0 = -j + 4*y + 8, 74*j - 77*j + 17 = -5*y. Let k be (j*4/(-64))/((-28)/16). Factor -k*u**3 + 6/7*u**2 - 9/7*u + 0.
-u*(u - 3)**2/7
Let w(h) = -9*h**2 - 606*h - 18603. Let c(q) = 20*q**2 + 1210*q + 37205. Let o(f) = 2*c(f) + 5*w(f). What is j in o(j) = 0?
-61
Let p = -541 + 542. Factor -150*w - p + 266*w + 4 - 18*w**2 - 131*w.
-3*(w + 1)*(6*w - 1)
Suppose 0 = 5*x - 20, 747*x - 24 = -3*p + 744*x. Let w(a) be the second derivative of 6*a + 0 - 8/3*a**2 + 1/9*a**p - 2/3*a**3. Factor w(l).
4*(l - 4)*(l + 1)/3
Let n(s) be the third derivative of s**5/20 + 19*s**4 + 150*s**3 - 584*s**2 + 1. What is t in n(t) = 0?
-150, -2
Let t be (-374)/(-187) + 2/(-3). Let n(u) be the first derivative of -2*u**2 + 2 + 8*u - t*u**3. Solve n(p) = 0 for p.
-2, 1
Determine t, given that -1/6*t**4 + 13/2*t**2 + 0 - 37/3*t + 6*t**3 = 0.
-2, 0, 1, 37
Suppose 13 = o + 20. Let w = 12 + o. Factor -w*h + h**2 + 0*h + 3*h - 6*h + 16.
(h - 4)**2
Let o(f) = -f**2 - f. Let b(c) be the second derivative of c**4 - c**3/3 + 6*c**2 + 29*c - 4. Let v(m) = -2*b(m) - 22*o(m). Determine l so that v(l) = 0.
1, 12
Let w(n) be the third derivative of -n**7/70 + 21*n**6/20 + 43*n**5/20 + 118*n**2 + 3*n - 5. Factor w(y).
-3*y**2*(y - 43)*(y + 1)
Factor 31*w - 196*w**3 - 99*w + 3*w**4 - 224*w - 35*w - 651*w**2 - 125*w**3.
3*w*(w - 109)*(w + 1)**2
Suppose 8/5*b**4 - 2592*b - 286/5*b**3 + 3384/5*b**2 - 3456/5 = 0. What is b?
-1/4, 12
Let y(l) be the first derivative of -32/3*l**3 - l**4 + 0*l - 24*l**2 - 62. Factor y(d).
-4*d*(d + 2)*(d + 6)
Let u(j) be the second derivative of -4*j**5/35 + 47*j**4/7 - 2182*j**3/21 + 528*j**2/7 + j - 3295. Find z, given that u(z) = 0.
1/4, 11, 24
Let z be 28 + 320/(-20) - 8. Find x such that -1/2*x**5 + 0 + 0*x**z + 3/2*x + 4*x**2 + 3*x**3 = 0.
-1, 0, 3
Let y(i) be the first derivative of i**5/5 - 9*i**4/4 - 47*i**3/3 - 63*i**2/2 - 26*i - 277. Find w, given that y(w) = 0.
-2, -1, 13
Let o(z) be the second derivative of z**5/2 - 65*z**4/12 - 85*z**3/6 + 175*z**2 + 1529*z. Factor o(y).
5*(y - 7)*(y - 2)*(2*y + 5)
Let p be -15*(-10)/(-30) - (-48)/9. Let q(u) be the first derivative of 1/4*u**4 + 0*u + 0*u**2 + p*u**3 - 9. Solve q(g) = 0.
-1, 0
Let z(h) be the first derivative of -83*h**3 - 1242*h**2 + 60*h + 66. Factor z(u).
-3*(u + 10)*(83*u - 2)
Let o(k) be the first derivative of 1/36*k**4 - 3 - 2/3*k**3 + 1/15*k**5 - 15*k**2 + 0*k - 1/180*k**6. Let q(c) be the second derivative of o(c). Factor q(m).
-2*(m - 6)*(m - 1)*(m + 1)/3
Let q(w) be the first derivative of -w**6/90 - 