/3*x**2.
-2*(x + 5)**2/3
Let w(h) be the third derivative of h**6/40 - 8*h**5/5 + 61*h**4/8 - 15*h**3 - 555*h**2. Factor w(l).
3*(l - 30)*(l - 1)**2
Factor 2619*p**3 - 2614*p**3 - p**2 - 3*p**2 - 11*p - 2.
(p - 2)*(p + 1)*(5*p + 1)
Factor -2989*o + 25*o**3 + 521 + 1339 + 2265*o**2 + 56*o + 737*o - 3364*o.
5*(o - 2)*(o + 93)*(5*o - 2)
Let r(m) = -4*m - 17. Let i be r(-12). Let d = i - 27. Factor -18*w**d + 24*w**4 - 9*w**4 + 18*w**3.
-3*w**3*(w - 6)
Let r(p) = -p**3 - 2*p + 18. Let l be r(0). Let v be (l/8)/((-21)/(-56)). What is z in -11*z**3 + 2*z - 2 - 4*z**2 + v*z**3 + 6*z**3 + 3*z = 0?
1, 2
Let g be (38/14 + -1)/(80/560)*34/459. Solve -g*q + 2/3*q**2 + 2/9*q**3 - 8/3 = 0.
-3, -2, 2
Let z(u) be the second derivative of -3*u**4/4 - 1016*u**3/3 + 226*u**2 + u - 1430. Determine t so that z(t) = 0.
-226, 2/9
Let l = -3241409/5 - -648282. Factor -1/5*s + 0*s**2 + l*s**3 + 0.
s*(s - 1)*(s + 1)/5
Suppose 24*l - 16*l**5 - 35*l**5 + 105*l**4 - 105*l**2 + 45*l**3 + 21*l + 11*l - 50*l = 0. What is l?
-1, 0, 1/17, 1, 2
Let v(n) be the third derivative of -4/245*n**7 + 1/210*n**5 + 0*n**4 + 3/280*n**6 + 0 - 4*n**2 + 0*n**3 + 0*n + 13/2352*n**8. Factor v(r).
r**2*(r - 1)**2*(13*r + 2)/7
Let i(t) = 4*t**4 - 19*t**3 + 46*t**2 - 52*t + 14. Let s(r) = -9*r**4 + 39*r**3 - 91*r**2 + 104*r - 27. Let j(l) = 5*i(l) + 2*s(l). Factor j(n).
(n - 4)*(n - 2)**2*(2*n - 1)
Let k(p) be the third derivative of -p**7/42 + p**5/4 + 5*p**4/12 + 981*p**2 - 2*p. Factor k(b).
-5*b*(b - 2)*(b + 1)**2
Suppose -2*q + 98 = -5*d - 24, -d + 3*q = 27. Let j be 0/7 + ((-70)/d)/5. Suppose -3/4*b**3 - 5/12*b**4 + 0 - j*b**2 - 1/12*b**5 - 1/6*b = 0. Calculate b.
-2, -1, 0
Let g(v) be the third derivative of v**5/15 + 769*v**4/6 - 4*v**2 + 64. Factor g(p).
4*p*(p + 769)
Let r(d) = -4*d + 78. Let p be r(19). Suppose -3*t**p - 287*t**4 + 275*t**4 + 8*t**5 - 4*t + 15*t**2 - 4*t**3 + 0*t**2 = 0. What is t?
-1, 0, 1/2, 1
Let c(s) = -3959*s**3 + 3*s**2 + s + 1. Let v be c(-1). Determine u, given that -5*u**4 - 3882*u + v*u + u**3 + 50*u**2 - 30*u**3 - 6*u**3 = 0.
-8, -1, 0, 2
Let j be (7*(-4)/(-56))/((-2)/(-112)). Suppose -j = -d - 26. Factor 0*y**d + 2/3*y - 2/3*y**3 + 0.
-2*y*(y - 1)*(y + 1)/3
Let v be (185/(-25) - -7)/((-8)/5). Let t = v - -1/2. Factor 3 + 0*n - 9/4*n**2 + t*n**3.
3*(n - 2)**2*(n + 1)/4
Let s(j) be the first derivative of 4/35*j**5 + 0*j - 1/14*j**2 + 2/7*j**3 - 9/28*j**4 - 44. Solve s(n) = 0.
0, 1/4, 1
Suppose 521 = -3*o - 3*v + 530, -o - 5*v - 5 = 0. Let -10/7*y**o + 4/7*y**2 + 0 - 4/7*y**4 + 0*y + 10/7*y**3 = 0. Calculate y.
-1, -2/5, 0, 1
Let l be (1 - -2)/(3 - (-54)/(-24)). Suppose o - 6 = -l. Find m, given that 40/7*m + 2*m**3 - 36/7*m**o - 2/7*m**4 - 16/7 = 0.
1, 2
Let l = -37 + 30. Let x be (4 + 28/l)/1. Let -2/3*u**4 + 8/3*u**3 + 0*u - 8/3*u**2 + x = 0. Calculate u.
0, 2
Suppose -460*p**4 + 532824*p**2 - 35167320*p**3 + 34986136*p**3 + 1658*p**4 - 2*p**5 = 0. What is p?
0, 3, 298
Let c(m) be the third derivative of -1/160*m**6 + 0*m**3 + 1/32*m**4 + 0 + 194*m**2 + 0*m + 0*m**5. Find h, given that c(h) = 0.
-1, 0, 1
Suppose 0 = 38*c - 1598 + 154. Let o(f) be the first derivative of -16*f**2 + 36*f - 4/3*f**3 - c. Suppose o(d) = 0. What is d?
-9, 1
Suppose 97*x = 341*x - 632448. Factor -x - 1/2*o**2 + 72*o.
-(o - 72)**2/2
Suppose 0 = 7*j - 10*j + 63. Suppose 4*o = -3*o + j. Determine g, given that -12*g**2 - 4*g + o*g**2 + 8 + 7*g**2 - 2 = 0.
-3, 1
Let m(j) be the third derivative of 13*j**2 + 0 + 33/5*j**5 + 2/105*j**7 + 2/3*j**6 - 200/3*j**3 + 4*j - 10/3*j**4. Factor m(r).
4*(r - 1)*(r + 1)*(r + 10)**2
Let o(t) be the second derivative of 8 - 13/66*t**4 - 6*t - 12/55*t**5 - 4/165*t**6 - 10/11*t**2 + t**3. Find b such that o(b) = 0.
-5, -2, 1/2
Let z(j) = 2*j - 40. Let l be z(20). Let w be -4 - (l + 7/(-1)). Suppose -6 + 11*n**2 + 19*n**2 - 27*n**2 + w = 0. Calculate n.
-1, 1
Suppose 0 = -109*c + 39*c + 107 - 107. Let b(d) be the third derivative of -8*d**2 + 0*d + 1/840*d**6 + 1/42*d**4 + 1/105*d**5 + c + 0*d**3. Solve b(h) = 0.
-2, 0
Suppose -4*k = 5*u - 30, -2*k + 20*u + 20 = 25*u. Suppose -2*g + l - 5 = 0, -k*g = -0*l - 4*l + 20. Let 2*p**2 + 0*p - 1/2*p**3 + g = 0. Calculate p.
0, 4
Let g(a) be the first derivative of -2*a**5/5 + 93*a**4/2 + 572*a**3/3 + 192*a**2 + 3280. Let g(h) = 0. What is h?
-2, -1, 0, 96
Find z, given that -3569790*z + 1818*z**2 - 2*z**3 - 7164*z**2 + 1154377 + 1213429 + 1207332 = 0.
-1337, 1
Determine q, given that 2/7*q**5 + 170/7*q**2 + 30/7*q**3 - 152/7*q - 26/7*q**4 - 264/7 = 0.
-2, -1, 2, 3, 11
Let l be 204/26 - (-3)/(39/2). Let v be 0*(-4)/l*1. Solve 2/5*y + v + 8/5*y**2 + 8/5*y**3 = 0.
-1/2, 0
Let v(z) be the third derivative of z**5/20 + 163*z**4/8 + 161*z**3 - 43*z**2 + 20*z. Solve v(o) = 0 for o.
-161, -2
Let y(j) = j**3 + 11*j**2 + 14*j + 8. Let x be y(-7). Let l = x + -79. Determine b, given that 16*b + l*b**2 - 55*b**2 + 24*b + 32 = 0.
-4/7, 2
Factor 4982*q + 268*q + 1881*q + 2323*q + 5*q**2 + 9453125 + 4296*q.
5*(q + 1375)**2
Let -5/3*m**2 + 0 + 575*m = 0. What is m?
0, 345
Let p(q) be the second derivative of -1/39*q**4 + 8/13*q**2 - 1/130*q**5 + 4/39*q**3 - q - 59. Factor p(x).
-2*(x - 2)*(x + 2)**2/13
Let i = 120 + -400. Let g be 5/(-6)*224/i. Factor g*u**2 + 10/3 - 4*u.
2*(u - 5)*(u - 1)/3
Let x = 12806/37 + -84314/259. Factor -4*c**2 - x + 120/7*c + 2/7*c**3.
2*(c - 6)**2*(c - 2)/7
Let g(p) be the third derivative of p**6/60 + 4*p**5/15 - 15*p**4/4 + 12*p**3 - 160*p**2 - 2*p. Solve g(y) = 0 for y.
-12, 1, 3
Suppose -46*o - 21 = -53*o. Factor 10*y**3 + 16*y**2 + 0*y**4 - 2*y**4 - 26*y**3 - o*y**4 + 9*y**4.
4*y**2*(y - 2)**2
Let d be ((-150)/40)/(4*15/640). Let r be (-105)/d*(-16)/(-24). Find b, given that 7/4*b**2 + 1/2 + r*b + 1/2*b**3 = 0.
-2, -1, -1/2
Let v be ((-34)/4)/(197523/(-7746)). Let s = 2/37 + 179/111. Suppose -s - v*i**3 - i**2 + 3*i = 0. What is i?
-5, 1
Determine g so that -3640*g + 23 - 4380*g**2 - 124 - 24 - 1730*g**3 - 35 - 215*g**4 = 0.
-4, -2, -2/43
Let u(z) be the second derivative of -z**6/105 + 198*z**5/7 - 217800*z**4/7 + 95832000*z**3/7 - 4477*z. Factor u(o).
-2*o*(o - 660)**3/7
Let q(o) = o**2 - 10*o + 12. Let u be q(9). Let p be 2/(2/u) - -1 - 2. Factor -53*k**2 - 9 + 27*k**p + 27*k**2.
(k - 3)*(k + 3)
Factor 0 + 1116/7*n**2 - 2/7*n**3 + 0*n.
-2*n**2*(n - 558)/7
Let w = 186 + -157. Factor -5*b**4 - 4*b**4 + 24*b**3 - w - 31 + 3*b**4 - 88*b + 2*b**4.
-4*(b - 5)*(b - 3)*(b + 1)**2
Let r be ((-8)/27)/(15680/(-270) + 58). Solve i**3 + 0 - 4/3*i - 5/3*i**2 + 5/3*i**r + 1/3*i**5 = 0.
-4, -1, 0, 1
Let u(r) = 2*r**4 - 14*r**3 - 22*r**2 - 6*r + 4. Let p(t) = -1 + 3 + 3*t**4 - 22*t**2 - 5*t - 1 + 4 - 14*t**3. Let z(l) = 4*p(l) - 5*u(l). Factor z(k).
2*k*(k + 1)**2*(k + 5)
Let b(q) = 64*q + 4. Let z be b(1). Suppose -5*l = 2*u - 12, 4*u - z = -l + 2*l. Factor 4 - u*t**2 + 6 - 10 + 4*t.
-4*t*(4*t - 1)
Let z(g) = -9 + 30 + 7*g - g**2 + 1. Let i be z(9). What is q in 20*q**5 + 29*q**4 - 32*q**2 + 25*q**i - 22*q**4 - 87*q**3 + 16*q + 51*q**3 = 0?
-2, -1, 0, 2/5, 1
Factor -55*u - 14562 + 0*u**4 + 685*u**2 + 115*u**3 + 10932 + 5*u**4.
5*(u - 2)*(u + 3)*(u + 11)**2
Let j(p) = -10*p**3 - 2800*p**2 + 12025*p + 105. Let y(g) = g**3 + 311*g**2 - 1336*g - 12. Let f(n) = -4*j(n) - 35*y(n). Suppose f(x) = 0. What is x?
-67, 0, 4
Let i(w) be the first derivative of -w**3/27 - 7*w**2/6 - 68*w/9 + 1458. Determine t, given that i(t) = 0.
-17, -4
Let u = -16791 + 83961/5. Factor u*s - 6/5*s**3 + 24/5*s**2 - 24/5.
-6*(s - 4)*(s - 1)*(s + 1)/5
Let j(l) = -l**2 + 1. Let t(y) = 6*y**2 - 12*y + 6. Let p = 10 - 22. Let v = p + 3. Let d(o) = v*j(o) - t(o). Let d(n) = 0. Calculate n.
-5, 1
Let q(u) be the third derivative of 0*u**4 + 0*u**3 - 1/40*u**6 + 0 + 0*u**5 + u - 17*u**2. Factor q(z).
-3*z**3
Let t = -11/61703 - -321719585/802139. Let u = 402 - t. Factor u*n + 2/13*n**2 - 2/13*n**3 + 0.
-2*n*(n - 3)*(n + 2)/13
Factor 19/2*m + 36 - 69/4*m**2 + 7/4*m**3.
(m - 9)*(m - 2)*(7*m + 8)/4
Let h(k) be the first derivative of 23*k**4 - 224*k**3 - 4/5*k**5 + 2048*k - 108 + 640*k**2. Factor h(d).
-4*(d - 8)**3*(d + 1)
Let s(o) = 115*o**2 + 234*o - 40. Let b(v) = -230*v**2 - 460*v + 80. Let g(t) = 3*b(t) + 5*s(t). Factor g(p).
-5*(p + 2)*(23*p - 4)
Let v = 277 - 172. Factor v*s + 107*s - 230*s - 3*s**2.
-3*s*(s + 6)
Let k be 10/(-18)*