 of q(l). Factor t(f).
(f - 1)*(5*f + 2)/5
Let z(t) = -2*t**2 + 11*t + 8. Suppose 0 = 4*q - 24. Let m be z(q). What is j in -7*j**2 + 4*j - 2*j**2 + 2*j**3 + 10*j**m + 5*j**2 = 0?
-2, -1, 0
Let -4/5*u**3 + 138/5*u - 136/5 + 54*u**2 = 0. Calculate u.
-1, 1/2, 68
What is t in 400/3 + 80/3*t + 4/3*t**2 = 0?
-10
Let n(g) be the second derivative of 64*g - 27*g**2 + 3/5*g**6 + 1/21*g**7 + 0 - 9*g**3 + 13/5*g**5 + 3*g**4. Factor n(x).
2*(x - 1)*(x + 1)*(x + 3)**3
Solve 7668*a**2 + 0 - 1/6*a**5 - 5832*a - 3601/2*a**3 - 106/3*a**4 = 0.
-108, 0, 1, 3
Factor 3825216360*q - 482145843 + 13338612*q**2 + 15496*q**3 + 6*q**4 - 367089222 - 427319697.
2*(q + 861)**3*(3*q - 1)
Let l(t) = -405*t + 489. Let p be l(6). Let y = p - -1941. Find c such that y - 16/7*c + 4/7*c**5 - 20/7*c**4 + 12/7*c**3 + 20/7*c**2 = 0.
-1, 0, 1, 4
Suppose 2*f = z - 27, 15*z = 17*z + 3*f - 40. Suppose -23 = z*w - 92. Factor -3/4*n**5 + 0*n + 0*n**2 + 3/2*n**4 + 0 - 3/4*n**w.
-3*n**3*(n - 1)**2/4
Let a(n) = 288*n**5 + 234*n**4 - 46*n**3 - 34*n**2 + 2*n. Let x(u) = 288*u**5 + 232*u**4 - 46*u**3 - 32*u**2. Let b(k) = -4*a(k) + 3*x(k). Factor b(g).
-2*g*(3*g + 2)**2*(4*g - 1)**2
Let y(k) be the third derivative of k**5/120 + 89*k**4/24 + 7921*k**3/12 + 1644*k**2. Factor y(z).
(z + 89)**2/2
Suppose 15 - 123 = -6*j. Suppose -d = -5*m - 0*d + j, 3*d = 6. Factor 2*s**2 - 6*s - 3*s**3 + m*s**2 - 6 + 9*s.
-3*(s - 2)*(s - 1)*(s + 1)
Let t(n) = -25*n**2 - n. Let o(g) = 227*g**2 + 351*g - 344. Let f(l) = -o(l) - 9*t(l). Factor f(b).
-2*(b - 1)*(b + 172)
Let i(z) be the first derivative of z**3/4 + 15*z**2/4 - 33*z/4 + 1322. Factor i(a).
3*(a - 1)*(a + 11)/4
Let g(i) be the second derivative of i**3/6 + 5*i**2/2 - 13*i. Let f be g(-3). Factor -13 + 8*o + 2 - 2*o**3 - 1 - 4 + 4*o**f.
-2*(o - 2)**2*(o + 2)
Let 3/2*j**3 - 843/2*j**2 - 29400 + 29820*j = 0. Calculate j.
1, 140
Let m(d) be the first derivative of -13/9*d**3 + 112 - 8*d + 7/12*d**4 + 1/15*d**5 - 43/6*d**2. Let m(t) = 0. Calculate t.
-8, -1, 3
Let n(d) be the second derivative of d**5/40 + 5*d**4/16 + 3*d**3/2 - 40*d**2 + 3*d - 8. Let g(l) be the first derivative of n(l). Let g(c) = 0. Calculate c.
-3, -2
Let p(w) = 2*w - 20. Let q be p(11). Factor q*x**2 - 22 - 4*x**2 + 151*x - 127*x.
-2*(x - 11)*(x - 1)
Let r(c) be the second derivative of c**5/140 + 323*c**4/84 + 13280*c**3/21 + 38400*c**2/7 - 28*c - 16. Suppose r(k) = 0. What is k?
-160, -3
Suppose -5*k = -10*k. Suppose -3*l + b = -k*b - 89, b = 2*l - 60. Suppose 21 + 4*d - l + 2*d**2 - 4*d**3 + 6*d**2 = 0. Calculate d.
-1, 1, 2
Let 8*o - 28/3*o**3 - 4/3*o**4 + 4/3*o**2 + 4/3*o**5 + 0 = 0. Calculate o.
-2, -1, 0, 1, 3
Let v(g) = 178*g**3 - 573*g**2 - 158*g - 44. Let y(p) = -36*p**3 + 114*p**2 + 32*p + 8. Let q(b) = -2*v(b) - 11*y(b). Let q(s) = 0. What is s?
-3/10, 0, 3
Suppose -21*s + 16*s + 35 = 0. Let z be 6*(-1 + 2 + s/(-21)). Determine i so that 5*i**z - i**5 + 4*i + 3*i - 5*i**2 - 3*i**3 + 7*i - 10*i = 0.
-1, 0, 1, 4
Suppose -586/5*q - 2/5*q**2 - 584/5 = 0. Calculate q.
-292, -1
Let g(r) be the third derivative of -r**6/240 + 3*r**5/8 - 83*r**4/48 - 43*r**3/4 + 2*r**2 - r - 369. Factor g(s).
-(s - 43)*(s - 3)*(s + 1)/2
Let v(u) be the second derivative of -u**4/36 - 35*u**3/18 + 26*u**2 + 4219*u. Factor v(h).
-(h - 4)*(h + 39)/3
Suppose 19604*d - 19590*d = 0. Factor -1/7*o**4 + 1/7*o**5 + 0 - 5/7*o**3 + d*o - 3/7*o**2.
o**2*(o - 3)*(o + 1)**2/7
Let t be ((-26)/624)/(4/(-320)). Factor -t*d + 2/3*d**3 - 4/3 - 2*d**2 + 2/3*d**4.
2*(d - 2)*(d + 1)**3/3
Let l(r) = -5*r**2 + 155*r - 185. Let t(b) be the third derivative of b**5/60 - 13*b**4/8 + 23*b**3/3 + b**2 - 26. Let d(j) = -4*l(j) - 15*t(j). Factor d(i).
5*(i - 5)*(i - 2)
Let b(a) be the third derivative of -51/40*a**6 - 7/2*a**5 + 16*a**3 + 12*a**4 + a**2 - 1/10*a**7 + 0*a - 3. What is y in b(y) = 0?
-4, -2/7, 1
Suppose 11*n = 698 - 709. Let o(m) = m**2. Let c(y) be the second derivative of y**4/2 - y**2 + y. Let b(j) = n*c(j) + 4*o(j). Factor b(g).
-2*(g - 1)*(g + 1)
Let k(p) be the second derivative of 55 - 1/90*p**4 - p - 2*p**3 - 135*p**2. Solve k(r) = 0 for r.
-45
Factor -2/3*h**3 + 182/3*h - 8/3*h**2 + 980/3.
-2*(h - 10)*(h + 7)**2/3
Let t = 2837/17499 + -39/307. Let o(r) be the third derivative of r**2 - 12 + 0*r + 5/228*r**4 + 1/190*r**5 - t*r**3. Factor o(d).
2*(d + 2)*(3*d - 1)/19
Suppose 61/4*s**3 - 93/4*s**2 - 1/4*s + 21/4*s**4 + 3 = 0. Calculate s.
-4, -1/3, 3/7, 1
Solve 63/5*w**3 - 3/5*w**5 - 384/5*w - 42/5*w**2 - 288/5 + 6/5*w**4 = 0 for w.
-3, -2, -1, 4
Let r(k) be the first derivative of 0*k - 1/48*k**4 + 0*k**3 - 29 + 1/24*k**2. Factor r(y).
-y*(y - 1)*(y + 1)/12
Determine h so that 0 - 1/6*h**5 - 10/3*h**4 + 70/3*h**2 + 98/3*h - 25/2*h**3 = 0.
-14, -7, -1, 0, 2
Let x(j) be the second derivative of -5*j**7/42 + j**6/2 + 4*j**5 + 5*j**4 + 10*j - 296. Let x(d) = 0. What is d?
-2, -1, 0, 6
Let m(q) = -8*q**2 - 27*q + 35. Let t(i) = -7*i**2 + 60*i - 60*i + 1 + 6*i**2. Let h(o) = m(o) - 5*t(o). Factor h(z).
-3*(z - 1)*(z + 10)
Let -300*i**2 + 24 + 593*i**2 - 29 - 33 - 294*i**2 + 21*i = 0. Calculate i.
2, 19
Let g be (630/(-1575))/(1 + (-4 - -2)). Find m, given that -g*m**2 - 1/5*m + 2/5*m**3 + 1/5*m**4 - 1/5*m**5 + 1/5 = 0.
-1, 1
Let w(f) be the first derivative of -f**5 + 20*f**4 + 85*f**3 - 675*f**2 - 9241. Factor w(l).
-5*l*(l - 18)*(l - 3)*(l + 5)
Let x be -21*((-468)/54 - -8)*1. Find c such that -x - 2/7*c**3 - 18*c - 30/7*c**2 = 0.
-7, -1
Let m(u) be the third derivative of -u**6/300 + u**5/50 + 3*u**4/20 + u**3/3 - 6*u**2 - 26*u + 5. Find w, given that m(w) = 0.
-1, 5
Suppose 3*f = -5*x - 4, 2*f - x - 139 = -133. Factor 40/3*q**f + 0 - 12*q - 4/3*q**3.
-4*q*(q - 9)*(q - 1)/3
Let y(q) be the third derivative of -3/50*q**6 + 2/105*q**7 - 4*q - 1/420*q**8 + 25*q**2 + 0*q**3 + 0 - 1/15*q**4 + 7/75*q**5. Factor y(n).
-4*n*(n - 2)*(n - 1)**3/5
Let l(s) be the third derivative of -s**7/2310 + 17*s**6/1320 + s**5/30 - 17*s**4/66 - 12*s**3/11 - 2*s**2 + 1709*s. Solve l(b) = 0 for b.
-2, -1, 2, 18
Suppose 19/2*k**3 - 1/4*k**4 - 171/4*k**2 + 99/2*k + 0 = 0. What is k?
0, 2, 3, 33
Let p = 7781 - 1244957/160. Let c(o) be the second derivative of 3/8*o**2 - 18*o + 3/16*o**3 - p*o**5 + 0*o**4 + 0. Suppose c(m) = 0. Calculate m.
-1, 2
Let j be (1445187/7908)/((-34)/(-4)). Find b such that -27/2*b**4 - 1/2 + 21/4*b + 13/4*b**5 + j*b**3 - 16*b**2 = 0.
2/13, 1
Let 759504 - 405494*p + 78727 + 66147 - 30153 + p**2 + 403624*p = 0. What is p?
935
Suppose -3 = -5*h - 2*a, -15309*h + 15308*h - 3 = a. Determine t so that -2/9*t**2 + 0*t + 8/9*t**5 + 4/9*t**h + 0 + 14/9*t**4 = 0.
-1, 0, 1/4
Let c(g) = g**2 + g - 62. Let d be c(-9). Suppose -d*k + 127 = 107. Factor 0 - 1/5*y**k + 0*y.
-y**2/5
Let z be (5566/(-115) - 3/5)*-1. Suppose -46*p**2 + 12*p**2 - z*p**2 + 12*p**3 - 113*p**2 - 136*p = 0. Calculate p.
-2/3, 0, 17
Let i(s) be the first derivative of -2*s**3/3 + 42*s**2 - 234*s - 1170. Solve i(q) = 0 for q.
3, 39
Let w(u) be the third derivative of -u**7/1995 + 71*u**6/570 - 47*u**5/190 + 5*u**2 + 135*u. Find a such that w(a) = 0.
0, 1, 141
Let 412/3*z + 212 + 15*z**2 - 1/3*z**3 = 0. What is z?
-6, -2, 53
Let j(g) = 45*g**3 - 50*g**2 + 1724*g + 797. Let v(d) = 7*d**3 - 7*d**2 + 287*d + 133. Let w(y) = 6*j(y) - 38*v(y). What is o in w(o) = 0?
-8, -1/2, 17
Let j(l) = -2302*l + 147330. Let k be j(64). Determine r, given that 45/2*r + 0 + 3/2*r**k = 0.
-15, 0
Let b(y) = y**3 - 3*y**2 - 10*y + 6. Let a be b(-4). Let c be a/56*(79 + 1)/(-4). Factor 0*n + 27/7*n**2 + 117/7*n**3 + 0 + 75/7*n**5 + c*n**4.
3*n**2*(n + 1)*(5*n + 3)**2/7
Let b be (-3)/(-8) - (-562)/1232 - 6/11. Suppose -3 = -5*r + 4*u, -9 = -2*u - u. Determine l so that 0 + 6/7*l**2 - 4/7*l - b*l**r = 0.
0, 1, 2
Let l(f) = 3*f**3 - 116*f**2 + 180*f + 188. Let z be l(37). Factor 10*i**2 + 8/5 + 14/5*i**4 + 32/5*i + 38/5*i**z + 2/5*i**5.
2*(i + 1)**3*(i + 2)**2/5
Let -858/19*u + 2/19*u**2 + 2556/19 = 0. What is u?
3, 426
Let a be (3/4)/(180/960). Suppose 4*n + a*o = 24, -4*n - 4*o + 21 = -o. Solve -1/2*l - 1 + 1/2*l**n + 3/2*l**2 - 1/2*l**4 = 0 for l.
-1, 1, 2
Suppose 20*v = 170*v + 84*v - 468. Let c(y) be the third derivative of -19*y**v - 5/8*y**4 + 0 + 0*y**3 + 0*y - 1/12*y**5. Factor c(z).
-5*z*(z + 3)
Suppose -18*a - 69/2 - 3/8*a**2 = 0. What is a?
-46, -2
Let w be (-68)/