5 + 1/12*a**2 + 1/3 - l*a - 1/12*a**4 + 5/12*a**c = 0.
-2, 1
Let s(i) = 28*i**3 - 133*i**2 - 128*i + 27. Suppose 24 = 615*k - 623*k. Let x(u) = -55*u**3 + 265*u**2 + 255*u - 55. Let w(o) = k*x(o) - 5*s(o). Solve w(v) = 0.
-1, 1/5, 6
Let s = 3 - -3. Let n(k) = -k**3 - k**2 + 3*k - 4. Let u be n(-3). Factor -x**2 - 20*x**4 - 32*x**3 - 9*x**2 - s*x**2 - 4*x**u.
-4*x**2*(x + 1)*(x + 2)**2
Factor -782/19 + 784/19*l - 2/19*l**2.
-2*(l - 391)*(l - 1)/19
Let v(n) be the third derivative of 2*n**7/35 + 9*n**6/5 - 371*n**5/20 - 423*n**4/8 - 55*n**3 + 2206*n**2 + 2*n. Determine h so that v(h) = 0.
-22, -1/2, 5
Let a be (-411)/9 + 10/15. Let r = a - -49. Let -r*p**3 + 12*p + 2 + 8*p**3 + 12*p**2 + 2 = 0. Calculate p.
-1
Let a(h) be the third derivative of h**5/90 + 24*h**4 + 20736*h**3 + 347*h**2. Factor a(d).
2*(d + 432)**2/3
Suppose -175/2*i**4 + 1575/2*i**3 + 8670 - 6800*i - 25/2*i**2 + 5/2*i**5 = 0. Calculate i.
-3, 2, 17
Let 449/7*y**2 - 1/7*y**4 + 223/7*y**3 + 0 + 225/7*y = 0. What is y?
-1, 0, 225
Suppose -975*w + 0 + 486*w**3 + 3/2*w**4 - 981/2*w**2 = 0. What is w?
-325, -1, 0, 2
What is a in 0*a - 58*a**3 + 0 + 0*a**2 - 1/4*a**4 = 0?
-232, 0
Let i be (-2)/(-4)*(-108)/(-42)*-3. Let v = i - -311/77. Let 4/11*k + v*k**2 + 0 = 0. What is k?
-2, 0
Let b = -473 + 480. Suppose -m = m + b*m. Factor 1/5*c**2 - 2/5*c + m + 1/5*c**3.
c*(c - 1)*(c + 2)/5
Let c be 2/20 - (52 + (-49491)/940). Factor 0 - c*l**2 + 1/4*l**3 - l.
l*(l - 4)*(l + 1)/4
Let i(h) be the first derivative of -h**6/255 + h**5/85 + 7*h**4/102 + 4*h**3/51 + 57*h + 90. Let s(j) be the first derivative of i(j). Let s(n) = 0. What is n?
-1, 0, 4
Let h be ((-38)/(-6) + -6)*6. Determine p so that -8*p**4 - 8*p**3 - 13*p**3 + 27*p**3 - 24 - 70*p + 104*p**h - 8*p**3 = 0.
-4, -1/4, 1, 3
Let k(q) = -q**2 - 2*q - 5. Let n be k(-3). Let h be n/15*-2 - (-14)/(-21). Factor 2/5*v**2 + h*v**3 - 8/5 - 8/5*v.
2*(v - 2)*(v + 1)*(v + 2)/5
Let k be 21/3 + 7 + -11. Factor k*y**3 + 5*y**4 + 16*y**3 + 12*y**3 - 46*y**3.
5*y**3*(y - 3)
Let h = -10854 - -10854. Let v(c) be the third derivative of h*c + 11*c**2 + 0 + 1/100*c**5 + 0*c**3 + 1/20*c**4. Factor v(d).
3*d*(d + 2)/5
Let f(h) = -62*h**2 + 297*h - 3. Let a(z) = -z**2 + z + 1. Let w(x) = 3*a(x) + f(x). Factor w(o).
-5*o*(13*o - 60)
Let j be (-6)/8*(-2)/6. Let z be 1*(-4)/20*6 + 35 + (-11718)/360. Determine y so that z*y + j*y**2 + 0 = 0.
-5, 0
Let j(c) be the second derivative of -c**5/80 - 49*c**4/12 - 257*c**3/8 - 72*c**2 + 4135*c. Find d such that j(d) = 0.
-192, -3, -1
Let k(g) be the third derivative of -g**6/540 + 11*g**5/135 - 41*g**4/108 + 20*g**3/27 + 88*g**2 - 1. Factor k(m).
-2*(m - 20)*(m - 1)**2/9
Factor 1397*b - 2 - 2 + 525*b + 10*b - 1929*b**2 + 1.
-3*(b - 1)*(643*b - 1)
Suppose 258 - p**3 + 44*p - 15*p + 19*p**2 + 245 - 459 + 35*p = 0. What is p?
-2, -1, 22
Let v(q) = -3*q**3 - 488*q**2 - 2026*q - 2047. Let h(n) = -n**3 - 162*n**2 - 676*n - 684. Let m(p) = 11*h(p) - 4*v(p). Factor m(y).
(y + 2)**2*(y + 166)
Let c be -1 + (-42)/(-16) + (-3)/(-8). Suppose 5 - 12*d + 28*d**2 - 8*d - 13*d**c = 0. Calculate d.
1/3, 1
Suppose -a = 98 - 31. Let w = a - -70. Suppose 3*m + 6 - 4*m**3 + 6*m + 0*m**w + m**3 = 0. Calculate m.
-1, 2
Suppose -5*f - 2*u = -231 + 213, 2*f - 5*u = -16. Let z(w) be the second derivative of 0*w**f + 0 - 5/3*w**3 - 9*w + 35/12*w**4. Suppose z(t) = 0. Calculate t.
0, 2/7
Let b(v) be the second derivative of v**4/4 - 72*v**3 + 426*v**2 - v - 321. Find u such that b(u) = 0.
2, 142
Let x(t) = 41*t - 75. Let g be x(-8). Let k = 403 + g. Factor k + 0*b**2 + 4/9*b**3 - 2/9*b - 2/9*b**5 + 0*b**4.
-2*b*(b - 1)**2*(b + 1)**2/9
Let 1304*l**5 + 75*l**4 - 227*l**2 + 134*l + 16*l + 3*l**3 - 1305*l**5 = 0. Calculate l.
-2, 0, 1, 75
Suppose 0*a - t = 4*a - 15, -63 = -16*a - 5*t. Factor 0*n + 2/3*n**2 + 0 - 1/3*n**a.
-n**2*(n - 2)/3
Factor -4/7*l**4 + 904/7*l**3 + 0 - 51076/7*l**2 + 0*l.
-4*l**2*(l - 113)**2/7
Suppose -23 = 3*s + v + 15, 5*s - 2*v + 56 = 0. Let z be (-11)/(-3) + 8/s. Suppose -3*d**3 + 0*d**2 + 2*d**2 + z*d**4 + 12*d**3 + 4*d**2 = 0. Calculate d.
-2, -1, 0
Let b(x) = 5*x + 22. Let d be b(-4). Suppose -k**2 + 4*k**d - 2*k - k**3 - 4*k**4 - k**5 + 4*k + 0*k**3 + k**4 = 0. What is k?
-2, -1, 0, 1
Let v(g) be the second derivative of g**6/960 - g**5/160 + g**4/96 + 49*g**2/2 - 2*g + 24. Let s(i) be the first derivative of v(i). Factor s(x).
x*(x - 2)*(x - 1)/8
Let s be (-90)/65 + (-5 + 2 + 1)*-1. Let j(d) be the first derivative of 10 - s*d**2 - 8/13*d**3 + 0*d - 3/13*d**4 - 2/65*d**5. Determine f so that j(f) = 0.
-2, 0
Let x(q) be the second derivative of -q**4/3 - 28*q**3 - 82*q**2 + 1811*q. Find l, given that x(l) = 0.
-41, -1
Suppose 0 = 2*x + 4*q - 126, 4*x - 329 = -x - 3*q. Factor -4*s**2 - 64 + s - 2*s**2 + x*s + 2*s**2.
-4*(s - 16)*(s - 1)
Suppose 243*o = -53*o - 145*o + 2205. Let j(l) be the first derivative of 0*l + 22 + 5/7*l**3 - 3/35*l**o - 3/14*l**4 + 9/7*l**2. Factor j(m).
-3*m*(m - 2)*(m + 1)*(m + 3)/7
Let v(o) = 3 + 14*o - 461*o**2 + 2 - 2 + 458*o**2. Let y(u) = 2*u**2 - 14*u - 3. Let q(p) = -3*v(p) - 2*y(p). Solve q(j) = 0.
-1/5, 3
Let p = -124905 + 374717/3. Factor 2 + 2/3*j**3 + p*j**2 - 10/3*j.
2*(j - 1)**2*(j + 3)/3
Let y(c) = 11*c**2 - c - 4. Let d(n) = 10*n**2 - 5. Suppose 0 = -3*q - v - 55, -3*v = 3*q - 7 + 52. Let b = 25 + q. Let p(z) = b*y(z) - 6*d(z). Factor p(t).
-5*(t - 1)*(t + 2)
Suppose 3*n - 4*q - 21 = 0, 5*q + 46 = 5*n + 11. Suppose 4*b = 3*z - 5 - 0, 2*z + b - n = 0. Solve 3 - 18 + 15 - g**2 + g**z = 0 for g.
0, 1
Let m(y) = -5*y**3 - 121*y**2 + 126*y - 22. Let g(a) = 2*a**3 + 40*a**2 - 42*a + 8. Let k(v) = 11*g(v) + 4*m(v). Factor k(d).
2*d*(d - 21)*(d - 1)
Let p(m) be the second derivative of m**6/195 + 6*m**5/65 + 7*m**4/13 + 4*m**3/3 + 21*m**2/13 + 3*m + 107. Find j, given that p(j) = 0.
-7, -3, -1
Factor -130*r - 103/2*r**2 - 5*r**3 + 1/2*r**4 - 102.
(r - 17)*(r + 2)**2*(r + 3)/2
Let a(y) be the second derivative of 1/5*y**5 + 0 - 4*y**4 + 32*y**3 - 128*y**2 + 116*y. Factor a(p).
4*(p - 4)**3
Let v(y) be the first derivative of -5*y**3/3 - 820*y**2 - 134480*y + 777. Factor v(k).
-5*(k + 164)**2
Let h = -28615 + 57239/2. Solve 69/2*k**2 - 9*k + 51/2*k**4 + 0 - 93/2*k**3 - h*k**5 = 0 for k.
0, 2/3, 1, 3
Let c(r) be the second derivative of r**5/20 + r**4/4 - r**3/6 - r**2/2 + 12*r. Let l be c(1). Factor -43*v**3 + 6 - 4 - 6*v + 41*v**3 + 6*v**l.
-2*(v - 1)**3
Let o(v) be the first derivative of 21*v**3 + 8*v**4 + 3*v**2 + 3 - 8*v**3 + 3*v**5 + 4*v**4. Factor o(p).
3*p*(p + 1)*(p + 2)*(5*p + 1)
Let b = -3379 + 3379. Let t(v) be the first derivative of 0*v - 4/9*v**3 + 1/6*v**4 + b*v**2 + 5. Find i such that t(i) = 0.
0, 2
Let y(j) be the third derivative of 0*j - 5/6*j**4 - 2/15*j**6 - 11/15*j**5 + 88*j**2 + 0 + 4/3*j**3. Determine x, given that y(x) = 0.
-2, -1, 1/4
Let t = 0 - -4. Suppose 0 = t*s + 39 - 79. Let -3*u**4 + 8*u**4 - 15*u**3 - s*u**4 + u**2 - 11*u**2 = 0. What is u?
-2, -1, 0
Let u(n) = -64*n**3 - 19060*n**2 + 38564*n - 19216. Let h(t) = -7*t**3 - 2118*t**2 + 4284*t - 2135. Let g(q) = 28*h(q) - 3*u(q). Factor g(w).
-4*(w - 1)**2*(w + 533)
Let o(p) be the second derivative of 289*p**8/336 + 17*p**7/21 + 2*p**6/9 - 9*p**3/2 - 52*p. Let r(d) be the second derivative of o(d). Factor r(q).
5*q**2*(17*q + 4)**2
Let d(u) be the first derivative of u**3/2 - 2253*u**2/4 - 4069. Determine b so that d(b) = 0.
0, 751
Suppose 2095*j**2 - 456*j + 2089*j**2 - 4181*j**2 = 0. What is j?
0, 152
Let k(p) be the first derivative of -121*p**5/15 + 440*p**4/3 - 2506*p**3/9 + 164*p**2 - 39*p + 4662. Suppose k(v) = 0. Calculate v.
3/11, 1, 13
Let f(y) be the first derivative of 7 - 1/12*y**4 + 0*y**3 + 1/12*y**2 + 0*y + 0*y**5 + 1/36*y**6. Find w such that f(w) = 0.
-1, 0, 1
Let q(h) be the third derivative of 9/2*h**3 + 1/72*h**6 + 0*h**4 + 15*h**2 - 1/24*h**5 + 0*h + 0. Let w(u) be the first derivative of q(u). Factor w(v).
5*v*(v - 1)
What is x in 7656*x - 2*x**3 + 134*x**2 - 15431*x + 7515*x = 0?
0, 2, 65
Determine j, given that -18/5*j**2 + 622/5*j + 56 = 0.
-4/9, 35
Factor -4*y**4 + 0 + 48/5*y**2 + 0*y - 16/5*y**3.
-4*y**2*(y + 2)*(5*y - 6)/5
Let d be 24/56 + (-9)/21 + 4. Factor 3*f**5 + 29*f**2 + 22*f**4 - 33*f**4 - 6*f + 22*f**d - 37*f**3.
f*(f - 1)**2*(f + 6)*(3*f - 1)
Let n(y) be the third d