y(j) = 0.
2/3, 1
Let n(j) = 2*j**2 + 3*j - 1. Let i(m) = 3*m**2 + 5*m - 2. Let l(p) = -3*i(p) + 5*n(p). Let a be l(7). Factor 32*v + 130 - a + 5*v**2 + 8*v.
5*(v + 4)**2
Let x(o) be the first derivative of -1/2*o**4 - 10/3*o**3 - 3*o**2 - 32 + 0*o + 2/5*o**5. Factor x(h).
2*h*(h - 3)*(h + 1)**2
Let d(q) be the second derivative of 22 - 6/7*q**2 + 11/21*q**3 + 2*q - 2/21*q**4 - 1/70*q**5. Factor d(i).
-2*(i - 1)**2*(i + 6)/7
Suppose 31*a = 19*a - 936. Let m be (-28)/(-8) + (a/12)/13. Determine p, given that p**2 + 3*p**4 + 11/2*p**m - 6*p + 1/2*p**5 - 4 = 0.
-2, -1, 1
Suppose 6*q + 110*q = -88*q + 1020. Let f(o) be the third derivative of -31*o**2 + 0*o - 1/12*o**6 + 1/3*o**4 - 1/15*o**q + 0 + 0*o**3 - 1/70*o**7. Factor f(n).
-n*(n + 2)**2*(3*n - 2)
Find y, given that -1/3*y**2 - 6241/3 + 158/3*y = 0.
79
Suppose 9 = 5*f - 3*j, 2*f = -2*j - 11 + 5. Suppose -4*t**3 + 207*t**5 - 4*t**4 + 2*t**2 + f*t**2 + 2 - 208*t**5 + 5*t = 0. Calculate t.
-2, -1, 1
Let j(k) be the second derivative of k**6/75 - 1377*k**5/50 + 210681*k**4/10 - 32234193*k**3/5 + 319*k. Suppose j(r) = 0. Calculate r.
0, 459
Let f be 7*(230/(-70) + 4). Suppose 14*l + f*b = 19*l - 20, -5*b - 17 = -4*l. Determine k, given that 0*k + 1/6*k**l - 2/3 + 1/2*k**2 = 0.
-2, 1
Let p(w) be the third derivative of 0 + 0*w**3 + 1/8*w**4 + 0*w - 1/20*w**5 - 4*w**2. Factor p(z).
-3*z*(z - 1)
Let h(u) be the third derivative of 0 + 3/70*u**7 + 1/4*u**6 + 37/60*u**5 + 2/3*u**3 + 252*u**2 + 5/6*u**4 + 0*u. Determine w so that h(w) = 0.
-1, -2/3
Solve 18*n**2 + 38*n - 1/2*n**3 + 0 = 0 for n.
-2, 0, 38
Let t(i) be the second derivative of -7/30*i**5 - 4/3*i**2 - 109*i + 1/21*i**7 + 1/9*i**6 - 16/9*i**3 + 0 - 7/6*i**4. What is v in t(v) = 0?
-1, -2/3, 2
Let l be 29711/2035 + (-3 + 45)/(-3). Solve 198/5 - l*d**2 + 57/5*d = 0.
-3, 22
Let u(x) be the second derivative of 121*x**4/21 - 754*x**3/21 + 12*x**2 + 13496*x. Find g, given that u(g) = 0.
14/121, 3
Factor 11/4*s - 1/4*s**4 + 0 + 1/4*s**2 - 11/4*s**3.
-s*(s - 1)*(s + 1)*(s + 11)/4
Determine a, given that 14*a**2 - 1/4*a**4 + 147/2*a - 3/2*a**3 - 343/4 = 0.
-7, 1, 7
Let h(x) = 5*x**4 - 47*x**3 - 23*x**2 + 131*x - 45. Let z(p) = -10*p**4 + 99*p**3 + 51*p**2 - 263*p + 89. Let s(a) = 7*h(a) + 3*z(a). What is l in s(l) = 0?
-2, 2/5, 2, 6
Suppose -27*t + 36*t = 369. Find h, given that -3*h**2 + 114 - 402 + h**2 - t*h - 7*h = 0.
-12
Let z(l) = -524*l - 7715 + 3229*l + 65*l**2 + 4810. Let p(m) = 3*m**2 + 123*m - 132. Let t(o) = -45*p(o) + 2*z(o). Determine f so that t(f) = 0.
-26, 1
Let u(i) be the second derivative of -5/18*i**3 - 3 + 1/4*i**2 + 1/180*i**6 + 1/6*i**4 + i - 1/20*i**5. Factor u(o).
(o - 3)*(o - 1)**3/6
Suppose -a = 2, 1785 = 48*w - 53*w + 5*a. Let h = w - -2877/8. Suppose 2 - h*y**4 + 1/8*y**5 + 5*y - 5/8*y**3 + 25/8*y**2 = 0. What is y?
-1, 4
Let q(m) = -15*m + 21. Let i(r) = -r**2 - 30*r + 41. Let g = 103 - 100. Suppose -5*u + 6 = -g*x, 0 = 3*x - 0*u - 3*u. Let k(v) = x*i(v) - 5*q(v). Factor k(n).
-3*(n - 1)*(n + 6)
Let j(a) be the second derivative of a**6/10 - 9*a**5/4 + 18*a**4 - 54*a**3 + 1212*a. Determine t, given that j(t) = 0.
0, 3, 6
Let h(r) = -4*r**2 - 23*r + 86. Let g be h(-14). Let c = -376 - g. Factor 1/7*m**2 + 0*m**3 - 1/7*m**4 + c*m + 0.
-m**2*(m - 1)*(m + 1)/7
Let d(l) be the second derivative of -l**7/420 - 59*l**6/300 - 191*l**5/100 - 239*l**4/30 - 262*l**3/15 - 104*l**2/5 - 219*l - 3. Determine c so that d(c) = 0.
-52, -2, -1
Let h(x) be the third derivative of 126*x**2 + 0*x**4 + 0*x - 2/7*x**7 - 16/3*x**5 + 0 + 5/336*x**8 + 0*x**3 + 2*x**6. Solve h(n) = 0 for n.
0, 4
Let k(x) be the third derivative of -x**5/100 - 9*x**4/5 - 648*x**3/5 - x**2 - 6. Solve k(q) = 0 for q.
-36
Let a = 875 + -874. Let m be (a - -5)*((-40)/(-16) - 2). Find b such that -5/6*b**m + 5/2 + 5/6*b**2 + 25/6*b = 0.
-1, 3
Let i(u) be the third derivative of 7 + 7/5*u**3 + 0*u - 2/75*u**5 + u**2 + 5/12*u**4. Factor i(a).
-2*(a - 7)*(4*a + 3)/5
Let q be (-6)/10 + ((-19395)/1275 - -16). Let b = 82/255 - q. Suppose 0 - b*x**4 + 8/15*x**3 + 2/15*x**2 - 8/15*x = 0. What is x?
-1, 0, 1, 4
Let c(i) be the first derivative of -14/3*i**2 - 98/3*i - 2/9*i**3 + 105. Determine l so that c(l) = 0.
-7
Factor 15665 + 230*c**4 - 234*c**4 - 245*c**3 - 120641 + 42768*c - 5652*c**2 + 509*c**3.
-4*(c - 27)**2*(c - 6)**2
Let k(b) be the first derivative of b**4 - 164*b**3 - 248*b**2 - 3744. Determine r, given that k(r) = 0.
-1, 0, 124
Suppose -5*m + 19 + 6 = 0, 2*z - 4*m = -12. Factor -j**4 - 60*j + 0*j**4 - 45 + 2*j**4 + 20*j**3 + 10*j**2 - 6*j**z.
-5*(j - 3)**2*(j + 1)**2
Factor -37/2*x - 35/4*x**2 + 0 + 1/4*x**3.
x*(x - 37)*(x + 2)/4
Let j(t) = -2*t**3 - 7*t**2 - 8*t + 5. Let g be j(-4). Solve 80 - 5*s**2 - 127 + 60*s - g = 0.
2, 10
Let z(c) be the second derivative of -c**4/12 - 7*c**3/3 + 60*c**2 - 1208*c. Determine k so that z(k) = 0.
-20, 6
Let s(j) be the first derivative of -j**3 - 99*j**2 - 567*j + 1681. Let s(w) = 0. What is w?
-63, -3
Let w be 465 + -7 + 341/(-31) + -6. Determine q, given that -462*q**2 - 3/7*q**5 - 81/7*q**4 - w*q + 1029 - 114*q**3 = 0.
-7, 1
Let d(t) be the second derivative of 29/10*t**3 + 3/25*t**5 - 21/20*t**4 - 109*t + 0 - 9/5*t**2. Factor d(h).
3*(h - 3)*(h - 2)*(4*h - 1)/5
Let x(v) be the third derivative of -v**5/60 - 115*v**4/3 - 105800*v**3/3 - 4*v**2 - 334*v. Factor x(h).
-(h + 460)**2
Let n(c) be the third derivative of c**8/1008 + 44*c**7/315 + 43*c**6/8 - 22*c**5/45 - 242*c**4/9 + 1174*c**2. Determine v, given that n(v) = 0.
-44, -1, 0, 1
Let i = -2796 + 992. Let z = 34286/19 + i. Factor 2/19*o**2 + 0 - z*o.
2*o*(o - 5)/19
Let x be ((-34)/85)/((-3)/60) + 0. Let d(l) be the first derivative of x - 1/18*l**3 - 2/3*l**2 - 8/3*l. Factor d(k).
-(k + 4)**2/6
Factor 13*d**4 + 160*d - 61*d**4 + 40*d**3 + 26*d**4 + 160*d**2 + 27*d**4 + 10*d**3.
5*d*(d + 2)*(d + 4)**2
Let o(l) be the first derivative of l**6/480 + l**5/48 - l**4/96 - 5*l**3/24 - 31*l**2/2 - 2*l - 66. Let s(t) be the second derivative of o(t). Solve s(q) = 0.
-5, -1, 1
Suppose -2*t - 983 = -959, 0 = -33*u - 4*t + 84. Factor 0 + 21/5*d**3 - 39/5*d**2 + 19/5*d - 1/5*d**u.
-d*(d - 19)*(d - 1)**2/5
Let s be 13/208*-8*(-1 + 1). Let v(n) be the first derivative of 1/5*n**3 + s*n + 3/2*n**2 + 14. Factor v(a).
3*a*(a + 5)/5
Let m(d) = -8*d**2 - 18*d - 4*d + 31*d - 2*d**2 - d**3 - 5*d**2 - 110. Let r be m(-16). Factor -1/2*k**4 + k - 5/2*k**2 + r*k**3 + 0.
-k*(k - 2)*(k - 1)**2/2
Factor 12*i**2 - 20*i**2 + 2*i**4 + 4*i**5 + 3*i**3 + 0*i**2 - 7*i**3 - 3*i**5.
i**2*(i - 2)*(i + 2)**2
Suppose 0 = -4*g + 5*o + 499, -10*g - 2*o - 383 = -13*g. Factor -4*q**4 - 207*q + 108*q**3 + g*q**2 + 323*q + 97*q**2.
-4*q*(q - 29)*(q + 1)**2
Let l(p) be the first derivative of -3*p**5/5 + 579*p**4/4 - 191*p**3 - 579*p**2/2 + 576*p + 540. Suppose l(b) = 0. What is b?
-1, 1, 192
Let l = -538761 + 538765. Factor 128/7*y**3 + 40/7*y**2 + 114/7*y**l + 18/7*y**5 + 0*y + 0.
2*y**2*(y + 5)*(3*y + 2)**2/7
Let a = -1335 + 1340. Suppose -11 + 5 = -2*p + 2*k, -5 = -a*k. Find g, given that 8/3*g**2 - 8/3*g**p + 4*g**5 + 4/3*g - 16/3*g**3 + 0 = 0.
-1, -1/3, 0, 1
Let a(z) = z**3 - 25*z**2 + 74*z + 43. Let j be a(4). Let r(k) be the second derivative of -14*k + 0*k**2 + 1/6*k**4 + 0 + 3*k**j. What is o in r(o) = 0?
-9, 0
Let g(v) be the third derivative of v**6/60 + 2*v**5/5 - 741*v**2. Suppose g(l) = 0. What is l?
-12, 0
Suppose -19*d = -380*d + 16736 + 7812. Solve 16*b + 257/4*b**3 - d*b**2 + 3/4*b**5 + 0 - 13*b**4 = 0 for b.
0, 1/3, 1, 8
Let t(b) = -94*b + 566. Let r be t(6). Let y(q) be the second derivative of 1/36*q**3 + 0 - 1/72*q**4 + 1/6*q**r - 17*q. Solve y(d) = 0.
-1, 2
Suppose 0 = 3*k + 30, -6*f + f - 2*f - 3*k - 9 = 0. Find r, given that 0 + 2*r**2 - 2*r**4 - 16/3*r**f + 16/3*r = 0.
-8/3, -1, 0, 1
Suppose 4*p - 27 = -15. Suppose -5*i = 5*f, -p = -3*i - f + 1. Suppose 40*a + 4*a**i - 78*a + 36*a - 2*a**3 = 0. Calculate a.
0, 1
Let k(n) be the first derivative of -2*n**3/15 - 69*n**2/5 + 432*n/5 + 6775. Factor k(m).
-2*(m - 3)*(m + 72)/5
Suppose 21 + 10 = 4*j + 3*k, -5*j + 3*k = -5. Factor -5304*y**2 - 6*y**3 + 5304*y**2 + 27*y**j.
3*y**3*(9*y - 2)
Factor 8/3*n + 0 - 1/6*n**2.
-n*(n - 16)/6
Let r(v) be the second derivative of -v**6/195 - v**5/26 + 5*v**4/39 + 20*v**3/39 - 24*v**2/13 + 908*v. Deter