124*q**2 - 2*q - q**4 = 0. What is q?
-1, 1, 3
Factor 135*g + 13*g**3 - 37*g**3 + 17*g**3 + 4*g**3 - 132*g**2.
-3*g*(g - 1)*(g + 45)
Let x be (-545)/140 + (-6)/(-1). Let a = 9/4 - x. Factor a*m + 0 + 1/7*m**2.
m*(m + 1)/7
Let j = -127 - -129. Solve -4*c**3 - 25*c**2 + 0*c**3 + 30*c - j*c**4 - 6*c**3 + 7*c**4 = 0.
-2, 0, 1, 3
Let y be 40/(-120)*36/(-12)*(0 + (-2)/(-12)). Solve 11/6*a - y*a**2 - 5/3 = 0 for a.
1, 10
Let h be -5 + 2 - (2 + -4). Let a be 1*(h - -1)/(-8 + 7). Factor 0*m**2 - 1/3*m**3 + a + 1/3*m.
-m*(m - 1)*(m + 1)/3
Let w be (-428)/(-8) - ((-28)/(-8) + -3). Let s = -48 + w. Factor 4 + s*m**4 + 2 - 5*m**2 - 6.
5*m**2*(m - 1)*(m + 1)
Let n(z) be the second derivative of -26 + z - 5/12*z**4 + 0*z**2 + 5/2*z**3. Solve n(y) = 0 for y.
0, 3
Let w(g) be the first derivative of -1/30*g**6 - 1/5*g**5 + 15 - 1/2*g**4 - 11*g - 1/2*g**2 - 2/3*g**3. Let o(t) be the first derivative of w(t). Factor o(d).
-(d + 1)**4
Suppose -216 = -128*v + 110*v. Let s be (-1)/1 - v/84*-9. Find c, given that -5/7*c**3 - 2/7*c**4 + 5/7*c + s + 0*c**2 = 0.
-2, -1, -1/2, 1
Let f(i) be the second derivative of 9/20*i**5 - 182*i + 0 + 0*i**2 - 1/10*i**6 + i**4 + 0*i**3. Factor f(g).
-3*g**2*(g - 4)*(g + 1)
Suppose -4*y + 2*x = -22, -4*x = 2 + 18. Suppose 6*f - 2*f - 5 = y*n, -4*f = 5*n - 45. What is s in -7 - 53*s + 29*s**2 - 2*s**2 + n*s - 5 = 0?
-2/9, 2
Determine k so that 1562/7*k**3 + 18/7*k**5 + 0*k + 0 - 1424/7*k**4 - 156/7*k**2 = 0.
0, 1/9, 1, 78
Suppose -5*k = 5*b, -3*k + 13 = -2*b - 12. Let m be 5 - ((-20)/k - -5). Factor -3 + 6*w**5 + 20*w**3 + 20*w**m - 20*w + w + 9*w - 1.
2*(w + 1)**4*(3*w - 2)
Let u(k) be the second derivative of -k**5/10 - 49*k**4/2 - 290*k**3/3 - 4*k - 79. Factor u(v).
-2*v*(v + 2)*(v + 145)
Suppose n = 469 - 460. Let q be 6/(n + (-48)/8). Suppose -4/7 - 2*w - 6/7*w**q = 0. Calculate w.
-2, -1/3
Let u(w) be the first derivative of -142 + 65*w - 35*w**2 + 5/3*w**3. Find z such that u(z) = 0.
1, 13
Let u(o) be the second derivative of -o**4/16 + 833*o**3/8 + 1251*o**2/4 + 496*o. Factor u(v).
-3*(v - 834)*(v + 1)/4
Solve 0 + 1484/3*t + 1/3*t**2 = 0.
-1484, 0
Let -4269*s**2 - 1887*s**2 + 2862*s**3 - 80 + 96*s**5 - 1072 + 90*s**5 + 5208*s - 489*s**4 - 177*s**5 = 0. What is s?
1/3, 2, 48
Let z = 931/2355 - 92/471. Suppose 3/5*k**2 + 9/5*k - z*k**3 + 1 = 0. Calculate k.
-1, 5
Let c = -15445 - -15445. Factor 2/3*p**2 + 0 + c*p - 2/3*p**4 + 0*p**3.
-2*p**2*(p - 1)*(p + 1)/3
Factor 51*w - 20*w + 6*w**3 - 13*w + 9*w**2 - 9*w**3 + w**4 - 5*w**3.
w*(w - 6)*(w - 3)*(w + 1)
Let m = 993560/7 - 141936. Factor -36/7*i**3 + 0 + m*i - 4*i**2.
-4*i*(i + 1)*(9*i - 2)/7
Let l(k) be the first derivative of 65 + 1/30*k**5 - 1/12*k**4 - 1/6*k + 1/6*k**2 + 0*k**3. Factor l(x).
(x - 1)**3*(x + 1)/6
Let j(r) be the first derivative of -24 - 16/5*r**2 - 2/15*r**3 - 6*r. Factor j(a).
-2*(a + 1)*(a + 15)/5
Let q = 14317/3 - 39589/9. Suppose -164/9*p + 2/9*p**2 + q = 0. Calculate p.
41
Let r(z) be the first derivative of -2*z**5/25 - 9*z**4/5 - 146*z**3/15 - 108*z**2/5 - 104*z/5 + 472. Find c such that r(c) = 0.
-13, -2, -1
Let z(h) be the third derivative of 0*h**3 + 0*h + 2/3*h**4 + 3/20*h**6 - 1/210*h**7 + 0 - 125*h**2 - 11/20*h**5. Suppose z(d) = 0. Calculate d.
0, 1, 16
Let b be 28/5 - 33/55. Suppose -16*n**4 - 55*n**3 - 12*n**b + 5*n**2 + 3*n**2 + 59*n**3 = 0. What is n?
-1, 0, 2/3
Let j(y) be the first derivative of -y**5 - 20*y**4 - 70*y**3/3 + 40*y**2 + 75*y - 1247. Determine o so that j(o) = 0.
-15, -1, 1
Solve -1216/7*a + 92416/7 + 4/7*a**2 = 0.
152
Let m be 4/20 - (-9)/((-45)/16). Let l be (2 + m)*((-15)/3 + 5). Factor 2/11*b**4 + 0*b + l + 8/11*b**3 + 8/11*b**2.
2*b**2*(b + 2)**2/11
Let n be (-49 - -50) + 1*3. Factor n*k**4 - 49489*k + 8*k**2 + 49489*k - 12*k**3.
4*k**2*(k - 2)*(k - 1)
Let j(b) be the third derivative of b**8/840 + 16*b**7/525 + 37*b**6/300 - 19*b**5/75 - 41*b**4/15 - 104*b**3/15 + 1650*b**2. Let j(v) = 0. Calculate v.
-13, -2, -1, 2
Let p(u) = -8*u**2 - 3681*u + 7387. Let m(l) = 11*l**2 + 4907*l - 9849. Let b(f) = -7*m(f) - 9*p(f). Factor b(z).
-5*(z - 2)*(z + 246)
Let l(i) be the third derivative of i**6/40 + 3*i**5/5 + 23*i**4/8 - 18*i**3 + 1385*i**2. Factor l(d).
3*(d - 1)*(d + 4)*(d + 9)
Let p(s) = s**2 - 53*s - 80. Let q(k) = 6*k**2 - 270*k - 399. Let t(o) = 11*p(o) - 2*q(o). Factor t(v).
-(v + 2)*(v + 41)
Determine o so that 259*o - 43*o + 980 - 2812*o**2 + 2816*o**2 = 0.
-49, -5
Suppose 7*z - 363 = -433. Let h be (-6)/z + ((-166)/(-65) - 3). Suppose 8/13*p**4 + 0 + 8/13*p**2 - h*p - 12/13*p**3 - 2/13*p**5 = 0. What is p?
0, 1
Factor 38*j**2 + 651*j**3 - 685*j - 754 + 74 + 637*j**2 - 1862923*j**4 + 34*j**3 + 1862928*j**4.
5*(j - 1)*(j + 1)**2*(j + 136)
Let f(q) be the first derivative of 32/55*q**5 - 20 + 5/22*q**4 + 0*q + 0*q**2 - 4/33*q**3 + 3/11*q**6. Factor f(v).
2*v**2*(v + 1)**2*(9*v - 2)/11
Suppose 4*s - 10 = 226*y - 228*y, -4*s - 3*y + 7 = 0. Factor -l**3 - 1/4*l**5 + 0 + 0*l + 0*l**2 - 5/4*l**s.
-l**3*(l + 1)*(l + 4)/4
Let t = 366 + -357. Factor 51*m + 7*m**2 - 26*m**2 + t*m**2 - 800 + 8*m**2 + 29*m.
-2*(m - 20)**2
Let p(m) be the first derivative of -m**8/420 + m**6/30 - m**5/15 + 2*m**3/3 + 68*m + 61. Let b(y) be the third derivative of p(y). Solve b(v) = 0.
-2, 0, 1
Let a(t) be the second derivative of -t**5/10 - t**4/3 + 8*t**3/3 + 473*t. Factor a(q).
-2*q*(q - 2)*(q + 4)
Let j(m) be the first derivative of 292 - 2/57*m**3 + 36/19*m**2 - 136/19*m. Factor j(g).
-2*(g - 34)*(g - 2)/19
Let i(z) be the second derivative of -5*z**4/12 + 5855*z**3/6 - 2925*z**2 - 7*z + 105. Determine q, given that i(q) = 0.
1, 1170
Factor 1/2*s**3 + 2511675/2*s - 766060875/2 - 2745/2*s**2.
(s - 915)**3/2
Let r(q) be the second derivative of -q**5/100 - q**4/12 - q**3/5 - q + 395. What is v in r(v) = 0?
-3, -2, 0
Let m be 8/28 + 74015/35. Factor -2*h**3 + 2120*h - m*h - 3*h**3.
-5*h*(h - 1)*(h + 1)
Let f(r) be the second derivative of 2*r**2 + 2*r - 7/6*r**3 - 5/2*r**4 - 2/15*r**6 + 110 - 23/20*r**5. Factor f(s).
-(s + 1)**2*(s + 4)*(4*s - 1)
Let w(v) = -37*v**3 - 592*v**2 - 203*v - 8. Let n(f) = 25*f**3 - 1 - 38*f + 6 + 48*f + 201*f**2 + 125*f + 194*f**2. Let p(q) = 8*n(q) + 5*w(q). Factor p(d).
5*d*(d + 13)*(3*d + 1)
Let n(y) be the first derivative of -1/3*y**3 - 61 - 12*y - 4*y**2. Factor n(q).
-(q + 2)*(q + 6)
Let l = -962529/175 + 38502/7. Let g(n) be the first derivative of 3/5*n + 3/10*n**2 + l*n**5 + 1/10*n**6 - 32 - 2/5*n**3 - 3/10*n**4. Solve g(p) = 0 for p.
-1, 1
Let u(q) be the third derivative of q**8/40320 - q**7/1680 + q**6/288 - q**5/20 + q**4/4 + 20*q**2. Let l(c) be the third derivative of u(c). Factor l(m).
(m - 5)*(m - 1)/2
Let l(o) be the second derivative of 93*o**5/20 + 16*o**4 - 122*o**3 - 24*o**2 - 14*o - 1. Solve l(x) = 0.
-4, -2/31, 2
Let w(k) be the second derivative of -3 + 1/6*k**3 + 0*k**2 - 13/48*k**4 + 5*k + 3/16*k**5 + 1/168*k**7 - 7/120*k**6. Factor w(g).
g*(g - 4)*(g - 1)**3/4
Suppose 3*v = 4*y - 3627, 2*v - 4560 = -5*y - 3*v. Suppose -j = -4*j + y. Determine f so that 144*f**3 - 561*f**3 + 668*f**2 - j*f**3 + 5 + 115*f - 68*f**2 = 0.
-1/12, 1
Let s(t) = -150*t - 1641. Let l be s(-11). Let w(a) be the second derivative of -5/2*a**3 + 0 - l*a**2 - 1/4*a**4 + 7*a. Suppose w(o) = 0. What is o?
-3, -2
Let i be 105/455*(-143)/(-99). Suppose 0 = -2*l - 2 + 8. Factor -1/3*q**2 + 1/3*q**4 + 1/3*q**l + 0*q - i*q**5 + 0.
-q**2*(q - 1)**2*(q + 1)/3
Let u(w) = -2*w**2 - 107*w - 461. Let z(i) = -10*i**2 - 536*i - 2302. Let h(a) = -16*u(a) + 3*z(a). Factor h(v).
2*(v + 5)*(v + 47)
Let h(q) be the first derivative of 0*q + 1/4*q**4 - 7/15*q**3 - 1/25*q**5 + 3/10*q**2 - 19. Determine c, given that h(c) = 0.
0, 1, 3
Suppose 0 = 5*l - 3*k - 142, -l = 3*k - 5*k - 27. Let i be (2/(-4))/(l/(-116)). Let 5*w**2 - 8*w + 8*w - i*w**2 = 0. What is w?
0
Solve 360 + 44/3*h**2 - 44/3*h**3 - 4/3*h**4 + 388*h = 0 for h.
-9, -6, -1, 5
Let o(b) be the first derivative of -78/11*b**2 - 1014/11*b**3 - 2/11*b + 69. Find l such that o(l) = 0.
-1/39
Let x(l) be the second derivative of -70 + 3/16*l**5 - 2*l - 1/15*l**6 + 0*l**2 - 5/6*l**3 + 1/12*l**4 + 1/168*l**7. Determine o so that x(o) = 0.
-1, 0, 2, 5
Let u(l) be the third derivative of -8*l**7/175 - 9*l**6/25 + 191*l**5/100 + 153*l**4/10 - 578*l**3/5 + 3012*l**2. Find f such that u(