0.
-1, 0, 1/4, 2/5, 2
Let a(y) = y**3 + 12*y**2 - y - 6. Let j be a(-12). Find n, given that -67*n - 3*n**3 - 24 + 35*n + j*n**2 + 44*n = 0.
-2, 2
Let t(i) be the first derivative of 1/18*i**6 + 1/5*i**5 - 29 - 1/3*i**2 - 1/3*i**3 + 0*i + 1/12*i**4. Solve t(f) = 0 for f.
-2, -1, 0, 1
Suppose 15*u - 14*u - 6 = 0. Let v be (u/15)/(0 + 2/10). Factor 9 - l**v - 2*l**2 - 36 + 8*l + 10*l.
-3*(l - 3)**2
Let l(n) = n**3 - n**2 + 5*n - 5. Let v be l(3). Let r be 274/2329 - v/(-51). Factor -2/3 + r*k**3 + 2/3*k**2 - 2/3*k.
2*(k - 1)*(k + 1)**2/3
Suppose 0 = -5*k + 5*t - 10 - 0, t = -k + 2. Suppose k = 3*m + 9*m - 24. Factor -2/11*d**4 - 12/11*d**m + 16/11 + 10/11*d**3 - 8/11*d.
-2*(d - 2)**3*(d + 1)/11
Determine s so that -504*s**2 + 105*s**4 + 60 - 154*s - 41*s**2 + 67*s**3 + 133*s**3 - 104*s - 322*s = 0.
-3, -1, 2/21, 2
Let k be ((-28)/21)/(2/3 + 0). Let b(x) = -x**2 - 20*x - 42. Let l(a) = a**2 + 19*a + 43. Let g(u) = k*l(u) - 3*b(u). Factor g(d).
(d + 2)*(d + 20)
Let m be 174/42 + 39/(-273). Let k(o) be the first derivative of -2*o**2 + 1/12*o**m + 0*o**3 + 44 + 16/3*o. Solve k(a) = 0 for a.
-4, 2
Let a(b) be the third derivative of 3/40*b**4 - 1/175*b**7 - 2 + 7/300*b**6 - 4/75*b**5 - 1/15*b**3 + 20*b**2 + 1/1680*b**8 + 0*b. Factor a(s).
(s - 2)*(s - 1)**4/5
Let h(q) = 2*q**5 - 9*q**4 + 46*q**3 - 42*q**2. Let u(o) = o**5 - 9*o**4 + 47*o**3 - 41*o**2. Let c(g) = -2*h(g) + 3*u(g). Solve c(f) = 0 for f.
-13, 0, 1, 3
Factor 337*j**3 - 6*j**4 + j**4 + 141 - 140*j**2 + 142*j + 4*j**4 - 479*j**3.
-(j - 1)*(j + 1)**2*(j + 141)
Determine b so that -197*b - 37*b - 2957*b**2 - 15*b + 2959*b**2 - 195*b = 0.
0, 222
Let s(x) = -10*x**4 + 7*x**3 - 213*x**2 + 931*x - 1336. Let v(y) = y**4 + 2*y**3 - 2*y**2 - 4. Let g(m) = 2*s(m) + 18*v(m). Find j such that g(j) = 0.
4, 7
Let h be (-19 - -1)*(-1793)/110. Let t = h + -293. Factor -1/5*r**3 + 0*r + 0 - t*r**2.
-r**2*(r + 2)/5
Suppose -4*t = -2*q - 0*t + 14, -54 = -4*q - 5*t. Let 22*n**2 + q*n + 24*n + 103 - 9*n - 99 = 0. What is n?
-1, -2/11
Let b = 2/46977 - -93944/234885. Suppose 1/10*w + 1/2*w**2 + 4/5*w**3 + b*w**4 + 0 = 0. Calculate w.
-1, -1/2, 0
Let c(a) be the third derivative of 0 + 1/40*a**6 - 3*a**2 + 0*a**3 - 5/8*a**4 - 4*a + 1/5*a**5. Let c(r) = 0. Calculate r.
-5, 0, 1
Factor -243049/8 - 1/8*t**2 + 493/4*t.
-(t - 493)**2/8
Let g(c) be the third derivative of -1/180*c**5 + 0 + 8/9*c**3 + 1/12*c**4 - 3*c - 41*c**2. Determine j, given that g(j) = 0.
-2, 8
Let q(g) be the first derivative of 0*g - 9/10*g**5 + 3/2*g**2 - 3*g**3 + 27 + 39/16*g**4 + 1/8*g**6. Let q(o) = 0. What is o?
0, 1, 2
Let w = -685/27 - -727/27. Determine f, given that -4/3 - w*f + 0*f**2 + 2/9*f**3 = 0.
-2, -1, 3
Let b be (1 - 0/1)*4. Let z be (-4)/26 + (-164)/(-52). Solve -c**2 - z*c**2 - 2*c - 61*c**3 + b*c**4 + 63*c**3 = 0.
-1, -1/2, 0, 1
Let p be (-180)/330 - (-180)/88. Let -33/2*f**2 + 105/2*f - 75/2 + p*f**3 = 0. What is f?
1, 5
Let s be ((-60)/14)/((-5440)/3264). Solve 2 + s*y + 4/7*y**2 = 0.
-7/2, -1
Suppose -h + 2*t - 6 = 0, 6*h - 4*h + 3*t = 2. Let r(n) = 4*n**2 - 2*n - 2. Let c be r(h). Factor c*y + 40 + 25*y**2 - 15 - 30*y**2 + 2*y.
-5*(y - 5)*(y + 1)
Let -23/3*v**4 - 1651/3*v + 845/3 + 1/3*v**5 + 746/3*v**2 + 82/3*v**3 = 0. What is v?
-5, 1, 13
Let b(c) be the third derivative of -2*c**7/35 + 3*c**6 - 109*c**5/20 - 201*c**4/8 - 29*c**3 + 37*c**2 - 1. Suppose b(o) = 0. Calculate o.
-1/2, 2, 29
Factor -1082*v - 56*v + 470*v**2 - v**3 + 468 + 201*v.
-(v - 468)*(v - 1)**2
Let v be 3/13 - (-686)/(-22295). Let y(s) be the first derivative of -1/20*s**4 + 40 - 1/25*s**5 + 1/10*s**2 - 2/5*s + v*s**3. Factor y(a).
-(a - 1)**2*(a + 1)*(a + 2)/5
Factor 792*g**2 + 405*g + 46/5*g**4 - 1350 + 718/5*g**3 + 1/5*g**5.
(g - 1)*(g + 2)*(g + 15)**3/5
Let n(l) = 48*l**3 + 4824*l**2 + 20024*l - 25092. Let y(t) = -5*t**3 - 536*t**2 - 2225*t + 2787. Let b(u) = -3*n(u) - 28*y(u). Factor b(w).
-4*(w - 138)*(w - 1)*(w + 5)
Let t(p) be the first derivative of -p**3 - 417*p**2/2 + 846*p - 1525. Factor t(h).
-3*(h - 2)*(h + 141)
Let f(u) = 2*u**3 - 17*u**2 + 120*u - 1157. Let h be f(9). Let -1/2*s**h + 0 - 1/2*s**3 + 5*s**2 - 4*s = 0. What is s?
-4, 0, 1, 2
Let w(q) be the second derivative of 0 - 85*q**2 + 95/6*q**3 + 97*q - 5/12*q**4. Determine l so that w(l) = 0.
2, 17
Let m(n) = 5*n**3 + 244*n**2 + 1203*n + 976. Let j(l) = -6*l**3 - 244*l**2 - 1204*l - 981. Let b(x) = 4*j(x) + 5*m(x). Find o such that b(o) = 0.
-239, -4, -1
Let l = -194 - -198. Let u be 1*(4 + (-3 - l)) + 3. Factor -1/2*g**2 + 1/3*g + u.
-g*(3*g - 2)/6
Let j(a) be the first derivative of -a**3/2 - 381*a**2 - 96774*a - 661. Find q, given that j(q) = 0.
-254
Solve 2/5*y**2 + 314/5 - 316/5*y = 0.
1, 157
Let x = 61/152 + 7/456. Let f(k) be the third derivative of 0*k + 2/3*k**3 + 4*k**2 + 2/15*k**5 + 1/60*k**6 + 0 + x*k**4. Suppose f(j) = 0. What is j?
-2, -1
Suppose 45*k = 30*k + 20940. Let p = k - 1361. Factor p*i + 245/2 + 5/2*i**2.
5*(i + 7)**2/2
Determine n, given that 3403*n - 6792*n + 8447*n**2 - 2971*n**2 + 4*n**4 + 3389*n + 296*n**3 = 0.
-37, 0
Let u(x) = -x**3 + 10*x**2 + 7*x + 83. Let r be u(11). Determine g so that 59*g**3 + 15*g**4 + 5 + 60*g**3 - 43*g**4 - 1 - 72*g**2 - r*g**3 + 16*g = 0.
-1/7, 1
Let y(v) = -54*v**3 + 1428*v**2 - 6584*v + 5992. Let w(r) = -18*r**3 + 488*r**2 - 2194*r + 1997. Let o(i) = 8*w(i) - 3*y(i). Let o(x) = 0. What is x?
10/9, 10
Let i(c) be the first derivative of 2/5*c**5 - 5*c**2 + 3 - 3/2*c**4 + 0*c - 6*c**3. Factor i(r).
2*r*(r - 5)*(r + 1)**2
Let y(z) be the first derivative of 28*z**2 + 4/5*z**5 - 55 - 20*z - 16*z**3 + 2*z**4. Suppose y(o) = 0. Calculate o.
-5, 1
Let d(p) be the third derivative of -p**8/84 - 4*p**7/21 + 21*p**6/5 - 108*p**5/5 + 9*p**4/2 + 324*p**3 + 3721*p**2. Factor d(u).
-4*(u - 3)**3*(u + 1)*(u + 18)
Let x(k) be the first derivative of -2*k**3/9 - 161*k**2/3 - 381. Find a such that x(a) = 0.
-161, 0
Let v(x) be the third derivative of 200/3*x**3 + 85/3*x**4 + 0 - 3*x**2 + 23/4*x**5 + 1/42*x**7 + 7/12*x**6 + 22*x. Factor v(k).
5*(k + 1)*(k + 4)**2*(k + 5)
Let h(w) be the second derivative of 31 + 0*w**2 + w + 3/4*w**4 - 1/2*w**3. Factor h(y).
3*y*(3*y - 1)
Let u(o) be the third derivative of -o**6/840 - 2*o**5/35 - 15*o**4/56 - 11*o**3/21 - 794*o**2. Factor u(r).
-(r + 1)**2*(r + 22)/7
Let v(a) = 2*a**2 + 18*a - 268. Let w be v(8). Let q(r) be the first derivative of -2*r**4 - 4/5*r**5 + 4*r - 12 + w*r**2 + 0*r**3. Find t, given that q(t) = 0.
-1, 1
Let d(a) be the second derivative of 2*a - 2/45*a**6 + 2/15*a**5 + 0*a**2 + 94 - 4/9*a**3 + 1/9*a**4. Let d(c) = 0. What is c?
-1, 0, 1, 2
Let f be (-1)/1 + 14/8. Let i(v) = 40*v - 477. Let z be i(12). Solve 3/2*q - 3/4*q**z + f*q**2 + 0 = 0 for q.
-1, 0, 2
Let 118*y + 7*y**2 - 148 - 3*y**2 + 111 + 10*y - 235 = 0. What is y?
-34, 2
Suppose -145*k + 166 = -414. Solve -1/5*d**5 + 0*d + 0 - 3/5*d**k + 1/5*d**3 + 3/5*d**2 = 0 for d.
-3, -1, 0, 1
Find j, given that -87*j + 15*j**3 - 980*j**2 - 634*j + 61*j = 0.
-2/3, 0, 66
Let j(p) be the third derivative of p**7/840 + p**6/60 - 19*p**5/240 + 5*p**4/48 - 129*p**2 - 43. Factor j(f).
f*(f - 1)**2*(f + 10)/4
Factor -355/8*m**2 + 1/8*m**3 - 31329/8 + 31683/8*m.
(m - 177)**2*(m - 1)/8
Let p(k) = -k**5 + k**4 - k**3 - k**2 + 3*k + 2. Let w(x) = 2*x**5 - 41*x**4 - 61*x**3 - 14*x**2 + 6*x + 4. Let z(o) = -6*p(o) + 3*w(o). Solve z(n) = 0 for n.
-1, -1/4, 0, 12
Let n = 5288/171 + -520/19. Let i(a) be the second derivative of 128/3*a**2 + 1/9*a**4 - 20*a - n*a**3 + 0. Factor i(t).
4*(t - 8)**2/3
Suppose -14/13*y**3 + 88/13 - 178/13*y**2 - 256/13*y = 0. Calculate y.
-11, -2, 2/7
Let j be 12/(-28) + (-1563)/(-21) + -2. Factor -j*h**2 + 16*h + 102*h**2 + 84 - 34*h**2.
-4*(h - 7)*(h + 3)
Let m(w) be the first derivative of -w**4/6 - 94*w**3/9 - 175*w**2/3 - 86*w - 7018. Find t, given that m(t) = 0.
-43, -3, -1
Let h(t) be the first derivative of -2*t**2 + 82 + 10/21*t**3 + 16/7*t. Find r, given that h(r) = 0.
4/5, 2
Let q(p) = -p**3 + 10*p**2 + 84*p - 837. Let l be q(9). What is u in l*u**2 + 0*u + 3/7*u**3 - 3/7*u**4 + 0 = 0?
0, 1
Let i(q) be the third derivative of -q**6/200 - 61*q**5/100 - 87*q**4/20 - 22*q**2 - 2*q. Factor i(p).
-3*p*(p + 3)*(p + 58)/5
Let b(y) be the second derivative of y**5/4 + 565*y**4/2 + 127690*y**3 + 28857940*y**2 +