 - 153*s**2 = 0. What is s?
1, 2, 241
Let b(y) = 84*y**2 - 135*y - 48. Let h(s) = s**2. Let r(d) = 15*d**2 - 34*d - 12. Let q(g) = 6*h(g) + r(g). Let u(c) = 2*b(c) - 9*q(c). Factor u(o).
-3*(o - 2)*(7*o + 2)
Let w be (-72)/(-38) - (-3192)/30324. Find r, given that -3/5*r**w + 2*r + 0 - 1/5*r**3 = 0.
-5, 0, 2
Let -38/5*i - 176/5 - 2/5*i**2 = 0. What is i?
-11, -8
Factor -38*y**4 - 464*y**2 + 3*y**5 + 41*y**4 + 28*y**2 + 360*y**3 - 188*y**2 - 66*y**4.
3*y**2*(y - 13)*(y - 4)**2
Let r(m) be the second derivative of m**4/9 + 28*m**3/3 - 1166*m**2/3 - 3141*m. Determine x so that r(x) = 0.
-53, 11
Let n(h) be the second derivative of h**6/90 + h**5/5 + 5*h**4/4 + 25*h**3/9 + 601*h - 2. Factor n(v).
v*(v + 2)*(v + 5)**2/3
Let z(v) be the first derivative of 23 - 1/18*v**4 + 2/9*v**3 - 1/15*v**5 + 1/45*v**6 + 0*v**2 - 10*v. Let x(l) be the first derivative of z(l). Factor x(d).
2*d*(d - 2)*(d - 1)*(d + 1)/3
Let x(h) be the first derivative of -h**3/5 - 1443*h**2/10 - 288*h - 1245. Determine m, given that x(m) = 0.
-480, -1
Suppose j - 88 = -2*d + 3*j, 2*d - 87 = j. Let k = d + -40. Determine g, given that 2*g + 0*g**4 + 11*g**2 - 8*g**4 - g**3 - g**k - 6 + 3*g**2 = 0.
-1, 3/4, 1
Factor 80*u**3 - 25*u**3 + 8*u**2 + 12*u - 32*u - 32*u**3 + 16 - 24*u**3.
-(u - 4)*(u - 2)**2
Let k be (2 - 6/4)/((-14)/(-42)). Let d = 2971 - 2969. Solve k*y**5 + 9/2*y**4 + 0*y + 0*y**d + 3*y**3 + 0 = 0 for y.
-2, -1, 0
Let g be (1 + (-6)/4)*-1. Suppose 2*p + 5*n = -41, 33 = -2357*p + 2360*p - 3*n. Find u, given that -1/2*u**p + g*u + 0 = 0.
0, 1
Let u = 207 + -205. Find x such that 18*x + 9014*x**2 - 9017*x**u + 24*x = 0.
0, 14
Solve 26*k**3 - 33350513 - 14797763 - 21359536 - 1878*k**2 - 24*k**3 + 8179218 + 587814*k = 0 for k.
313
Let r(b) be the first derivative of -2 + 0*b - 6*b**3 - 1/36*b**6 + 0*b**2 + 1/20*b**5 + 0*b**4. Let l(v) be the third derivative of r(v). Factor l(n).
-2*n*(5*n - 3)
Suppose -2739 - 141 = -18*y. Let n be (y/(-110))/1*(-2)/2. Find i, given that -20/11*i + n - 6/11*i**2 = 0.
-4, 2/3
Suppose 4*i - 164 = -5*u, -20*i + 21*i + 5*u = 26. Factor -36 - 3*j**4 + 4*j**2 - j**4 + 82 - i.
-4*j**2*(j - 1)*(j + 1)
Let v(n) be the third derivative of 7*n + 1/20*n**5 + 1/24*n**4 - 1/6*n**3 - 1/120*n**6 - n**2 - 1/105*n**7 + 0. Determine s, given that v(s) = 0.
-1, 1/2, 1
Let q(m) be the third derivative of 0 + 1/60*m**6 + 11/12*m**4 + 2*m**3 + 11*m**2 + 0*m + 1/5*m**5. Factor q(x).
2*(x + 1)*(x + 2)*(x + 3)
Solve 1/9*r**4 + 124/9*r**3 + 51200/9 + 19712/9*r + 288*r**2 = 0.
-100, -8
Solve 2*v**3 + 17*v**2 + 120*v - 15*v**2 - 130*v**2 - 46*v**2 + 52*v**2 = 0.
0, 1, 60
Let f(u) = -18*u + 70 - 19 - 31 - 30*u**2. Suppose 94 - 119 = 5*p. Let x(a) = -20*a**2 - 12*a + 13. Let c(s) = p*f(s) + 8*x(s). Factor c(y).
-2*(y + 1)*(5*y - 2)
Factor -1295*x - 2450 + 139/4*x**3 + 1/4*x**4 + 2379/2*x**2.
(x - 2)*(x + 1)*(x + 70)**2/4
Let p = 652543/8838 - 55/982. Factor 32/3*t**3 - 4/9*t**4 - 484/9 + 352/3*t - p*t**2.
-4*(t - 11)**2*(t - 1)**2/9
Let a(l) be the first derivative of -5/4*l**3 - 3/2*l + 21/8*l**2 - 25. Find t, given that a(t) = 0.
2/5, 1
Let g(c) be the second derivative of 65*c - 5/12*c**4 + 5/2*c**2 - 2 + 0*c**3. Solve g(j) = 0 for j.
-1, 1
Let v(p) be the second derivative of -p + 1/8*p**4 + 6*p**2 - 2 + 9/4*p**3. Find o such that v(o) = 0.
-8, -1
Suppose 3/5*b**2 - 1056/5 - 63/5*b = 0. Calculate b.
-11, 32
Let r(s) be the first derivative of 277 - 46256/3*s**3 - 8/3*s**6 - 676/5*s**5 - 2394*s**4 - 5488*s**2 + 0*s. Find z such that r(z) = 0.
-14, -1/4, 0
Find y such that 108*y**2 + 46/3*y + 84*y**4 + 0 + 10/3*y**5 + 520/3*y**3 = 0.
-23, -1, -1/5, 0
Factor 72/5 - 2/5*z**3 + 2/5*z**4 + 42/5*z - 34/5*z**2.
2*(z - 3)**2*(z + 1)*(z + 4)/5
Let r(m) = -m**3 + 43*m**2 + 116*m + 3386. Let j be r(47). Factor 11/3*d**3 + 0 + 4*d**j + 0*d - 1/3*d**4.
-d**2*(d - 12)*(d + 1)/3
Let r(w) be the first derivative of 2*w**3/9 - 536*w**2/3 - 3145. Factor r(n).
2*n*(n - 536)/3
Let m(t) be the second derivative of -9*t**5/100 + t**4/10 + 37*t**3/10 + 18*t**2/5 + t - 21. Find y such that m(y) = 0.
-3, -1/3, 4
Let f = -283618/5 + 56726. What is o in 4/5*o - f + 1/5*o**2 = 0?
-6, 2
Let f(w) be the first derivative of w**6/240 + w**5/10 - 7*w**4/12 + w**2/2 + 20*w + 65. Let l(v) be the second derivative of f(v). Factor l(x).
x*(x - 2)*(x + 14)/2
Suppose 0 = 4*h - 2510 + 1958. Let i be (-9 + h/15)/((-11)/(-15)). Suppose 0 - 1/11*c**4 + i*c**3 - 4/11*c + 0*c**2 = 0. What is c?
-1, 0, 2
Let z be 16/20 - ((-12)/10)/(55 - 54). Solve 5/3*n**3 + 1/3*n**z - 4/3*n + 0 = 0 for n.
-1, 0, 4/5
Let i(l) be the third derivative of 23*l**2 + 0*l**4 - 1/510*l**6 + 0 + 1/408*l**8 - 1/357*l**7 + 0*l**5 - l + 0*l**3. Factor i(q).
2*q**3*(q - 1)*(7*q + 2)/17
Suppose -4*y + 462 = 2*y. Let j = y + -67. Suppose 10 - 5*u**2 + 15*u + 9*u + j - 9*u = 0. What is u?
-1, 4
What is g in -9*g**5 + 175*g**2 - 245*g**2 - 4*g + 3*g**5 + 29*g**4 - 19 - 7*g**4 + 67 + 10*g**3 = 0?
-4/3, -1, 1, 2, 3
Let y(o) = 250*o**3 - 375*o**2 + 155*o - 40. Let k(j) = -249*j**3 + 377*j**2 - 156*j + 36. Let u(l) = -5*k(l) - 4*y(l). Determine p, given that u(p) = 0.
2/7, 1
Let m(j) = 19*j**2 + 337*j - 3537. Let u(h) = 9*h**2 + 169*h - 1767. Let d(l) = -7*m(l) + 15*u(l). Factor d(n).
2*(n - 9)*(n + 97)
Let r(s) = 5*s - 1. Let k(p) = 2*p. Let b(g) = 9*k(g) - 4*r(g). Let x be b(0). Factor 1 - 3*z + 6*z**2 + 7*z**2 - z**3 - 14*z**2 + x*z.
-(z - 1)*(z + 1)**2
Find u, given that 15*u**5 + 54*u**4 - 72*u**3 + 21*u**4 + 8*u**5 - 26*u**5 = 0.
0, 1, 24
Suppose -2*g + 2644 = s, 2*g + 4*s + 832 = 3488. Suppose 2*v + 15 = 5*v. What is x in 675*x + 6 + v + g*x**2 + 147*x**5 + 37 + 819*x**4 + 1608*x**3 - 243*x = 0?
-2, -1, -2/7
Let c be (-11 - -5)/24 + (-17)/(-4). Factor -6 - u**3 - 4*u**c + 16*u - 7*u**3 + 12*u**2 - 10.
-4*(u - 1)**2*(u + 2)**2
Let q(p) be the first derivative of p**6/120 - p**5/20 - p**4 + 2*p**3/3 - p**2 + 142. Let w(i) be the third derivative of q(i). Factor w(l).
3*(l - 4)*(l + 2)
Let n(d) = -2*d**2 - 127*d + 9615. Let j be n(-108). What is y in -140/19*y**j + 920/19*y + 18/19*y**4 + 58/19*y**2 + 200/19 = 0?
-2, -2/9, 5
Let a(z) be the first derivative of 3*z**4/20 + 26*z**3/5 - 96*z**2/5 - 672*z/5 + 5268. Suppose a(g) = 0. What is g?
-28, -2, 4
Let y = -26 + 290/11. Let j = 49748 + -547220/11. Factor j*v**2 + 2/11*v**3 + 10/11*v + y.
2*(v + 1)**2*(v + 2)/11
Let h be 15 - (2 + 1 + 4). Factor -3*w**2 - 76*w + 64*w - h - w**2.
-4*(w + 1)*(w + 2)
Solve 754*n + 284258 + 1/2*n**2 = 0.
-754
Factor 364*v**4 - 4854*v**3 - 427*v + 20*v**5 + 7480*v**2 + 1231*v + 1500 + 8096*v + 7326*v**3.
4*(v + 3)*(v + 5)**3*(5*v + 1)
Let a(f) be the first derivative of 55*f**4/2 + 135*f**3 + 345*f**2/2 + 50*f - 3611. Factor a(w).
5*(w + 1)*(2*w + 5)*(11*w + 2)
Let x(c) be the second derivative of c**5/40 + 79*c**4/8 + 1180*c**3 + 3481*c**2 - 33*c + 18. Find t, given that x(t) = 0.
-118, -1
Suppose -4*f + 11*f + 21 = 0. Let n be f + 2 + 4/12*9. Factor 109*k + k**n + 4*k**2 + 405 + 78*k - 277*k.
5*(k - 9)**2
Suppose -4*y = -5 - 3. Let t(h) = h - 26. Let u be t(28). Factor f**2 - 7*f**y + u*f**3 + 2*f + f**4 - 3*f**4 + 4*f**3.
-2*f*(f - 1)**3
Factor 0 + 18*d + 9/2*d**3 + 30*d**2.
3*d*(d + 6)*(3*d + 2)/2
Solve 6/11*x**2 + 0 - 36/11*x = 0.
0, 6
Let c(g) be the first derivative of -g**7/21 + 28*g**6/15 - 98*g**5/5 - 247*g + 199. Let x(a) be the first derivative of c(a). Factor x(r).
-2*r**3*(r - 14)**2
Let x be 156/(-1820)*15/(-9). Let d(m) be the first derivative of -20/7*m**3 + 150/7*m**2 + x*m**4 - 500/7*m + 16. Factor d(t).
4*(t - 5)**3/7
Let o(w) be the third derivative of 0*w - 11/6*w**4 + 54*w**2 - 3/5*w**5 + 11/30*w**6 + 20/3*w**3 - 2/105*w**7 + 2. Factor o(l).
-4*(l - 10)*(l - 1)**2*(l + 1)
Let r = 18331 + -1741414/95. Let w = r + 2/285. Factor -2/3 + 1/3*b**3 - w*b + 2/3*b**2.
(b - 1)*(b + 1)*(b + 2)/3
Let n(m) = -232170 + 232170 + 3*m**2 + m. Let z(a) = -32*a**2 + 410*a + 64. Let s(t) = 2*n(t) + z(t). Solve s(v) = 0 for v.
-2/13, 16
Let g(j) be the second derivative of -202/15*j**3 - 44/5*j**2 - 53*j - 3/5*j**4 + 1. Determine f, given that g(f) = 0.
-11, -2/9
Let s be 5/10*1*6. What is a in -4 + 36 + 2*a**s - 20 + a**2 + 11*a**2 + 22*a = 0?
-3, -2, -1
Factor 6/17*p**3 + 140/17*p**2 - 2/17*p**4 + 0*p + 0.
-2*p**2*(p - 10)*(p + 7)/17
Let q(u) = -13*u**2 - 