 Solve 88*a**2 + 5*a**l - 87 + 369*a - 181 + 106 = 0.
-9, 2/5
Suppose 3*b + 2*k = -6, -5*k - 10 - 5 = -3*b. Let h = -2094919/8 + 261865. Determine m so that b - 3/8*m - h*m**2 = 0.
-3, 0
Solve -305/2*l - 1560 - 5/2*l**2 = 0.
-48, -13
Solve -182*j + 636/7 - 2/7*j**3 + 640/7*j**2 = 0.
1, 318
Let j(a) = -37*a + 257. Let t be j(7). Let o be (-4)/t*2*(-20)/(-400). Solve o*h + 0 + 1/5*h**2 = 0.
-1, 0
Let l(t) be the second derivative of 0*t**3 - 1/200*t**5 + 37 + t + 0*t**2 + 1/30*t**4. Factor l(q).
-q**2*(q - 4)/10
Let a(o) be the first derivative of -20*o**6/9 - 67*o**5/15 + 75*o**4/4 + 173*o**3/9 - 73*o**2/6 + 2*o + 793. Determine q, given that a(q) = 0.
-3, -1, 1/8, 1/5, 2
Let a(x) be the second derivative of -x**6/120 + 27*x**5/80 - 59*x**4/16 + 277*x**3/24 - 63*x**2/4 + 2*x + 2628. Factor a(r).
-(r - 18)*(r - 7)*(r - 1)**2/4
Let g(f) = 525*f + 27827. Let h be g(-53). Suppose 96/7 + 6/7*y**h + 148/7*y = 0. Calculate y.
-24, -2/3
Let u(h) = 4*h**2 + 6*h - 34. Suppose -948 + 940 = 4*v. Let o(t) = -9*t**2 - 13*t + 70. Let i(q) = v*o(q) - 5*u(q). Suppose i(f) = 0. Calculate f.
-5, 3
Let q = -875 - -884. Factor 27 + 3*o**2 + o - 8 - 7 - q - 7*o.
3*(o - 1)**2
Suppose -188*h + 172*h = -44 - 20. Factor 1/2*x**2 + 0*x + 3/2*x**3 + 5/8*x**h + 0.
x**2*(x + 2)*(5*x + 2)/8
Solve 0 + 137/7*x**2 - 1/7*x**3 + 0*x = 0.
0, 137
Let k(u) be the second derivative of -u**5/20 + 7*u**4/6 + 115*u**3/6 + 50*u**2 - 475*u. Solve k(z) = 0 for z.
-5, -1, 20
Factor 222/5*y**2 + 1/5*y**4 - 28/5*y**3 - 364/5*y + 169/5.
(y - 13)**2*(y - 1)**2/5
Let r(z) be the third derivative of z**8/840 - z**7/105 + z**6/60 + z**5/15 - z**4/3 - 12*z**3 - 10*z**2. Let l(s) be the first derivative of r(s). Factor l(j).
2*(j - 2)**2*(j - 1)*(j + 1)
Let f(b) be the first derivative of -b**6/33 + 2*b**5/55 + 9*b**4/22 + 2*b**3/3 + 4*b**2/11 - 219. Factor f(s).
-2*s*(s - 4)*(s + 1)**3/11
Let d be (4212/1170)/(48/60). Find w such that 0 - 1/2*w**5 + 5/2*w**4 + 7/2*w**2 - w - d*w**3 = 0.
0, 1, 2
Let q = 397 - 376. Factor -q*g + 2*g**2 - 31*g + g**2 + g**2.
4*g*(g - 13)
Suppose -4*d - 83 = -5*t - 3*d, -5*d = t - 1. Let l be 6/(-4)*t/(-6). Suppose -2*n**2 + 9*n**l - n**4 + 9*n**5 + 11*n**5 - 20*n**3 - 6*n**2 = 0. Calculate n.
-1, -2/5, 0, 1
Factor -28/9 + 4/3*h**2 + 2/9*h**3 - 2*h.
2*(h - 2)*(h + 1)*(h + 7)/9
Let r be (-9)/(4 + 32)*-12. Solve 0*z - 43 + 3*z**3 + 0*z**r + 10 + 6*z**2 + 27*z**2 - 3*z = 0 for z.
-11, -1, 1
Let y(o) be the second derivative of -7*o**6/60 + 43*o**5/120 - 17*o**4/48 + o**3/6 + 67*o**2/2 + 30*o. Let h(a) be the first derivative of y(a). Factor h(i).
-(i - 1)*(4*i - 1)*(7*i - 2)/2
Let a(w) = -13*w**4 + 5*w**3 + 12*w**2 - 50*w - 10. Let f(n) = 11*n**4 - 7*n**3 - 12*n**2 + 52*n + 8. Let y(d) = -4*a(d) - 5*f(d). Let y(x) = 0. What is x?
-2, 0, 2, 5
Let v be (13/(-13))/(5/25). Let j(p) = p**2 + 518*p + 22186. Let y(k) = -k**2 - 1037*k - 44371. Let q(n) = v*j(n) - 2*y(n). Factor q(h).
-3*(h + 86)**2
Let y = 52951 - 158852/3. Determine m so that -145/3*m**3 - 22/3*m**4 - y*m**5 - 152/3*m**2 + 832/3*m - 512/3 = 0.
-8, 1
Let m = 403/2 - 453/10. Let a = m + -4681/30. Solve 0*t + 0 + a*t**2 = 0 for t.
0
Let t(z) be the first derivative of 0*z + 3/280*z**5 + 0*z**2 + 22 + 0*z**4 + 1/840*z**6 + z**3. Let h(p) be the third derivative of t(p). Factor h(y).
3*y*(y + 3)/7
Let a(m) be the second derivative of -m**5/4 + 55*m**4/6 + 115*m**3/6 - 3116*m. Find p, given that a(p) = 0.
-1, 0, 23
Let w = 5426/27 + -37946/189. Find h, given that -4/21*h**3 + 4/21*h**4 + 2/21*h + w + 2/21*h**5 - 8/21*h**2 = 0.
-2, -1, 1
Determine f, given that 28/9*f + 2/9*f**3 + 16/9 + 14/9*f**2 = 0.
-4, -2, -1
Let q be 50 - 1 - (-384370)/(-8092). Factor q*p**2 - 9*p + 15/2.
3*(p - 5)*(p - 1)/2
Let b(i) be the second derivative of 167*i + 0 + 0*i**2 + 4/27*i**3 - 2/27*i**4 + 1/90*i**5. Suppose b(z) = 0. Calculate z.
0, 2
Let o = -236/917 - -2542/2751. Let m = 6 + -2. Factor h - 4/3*h**3 + 1/3*h**5 + o - 2/3*h**2 + 0*h**m.
(h - 2)*(h - 1)*(h + 1)**3/3
Let u = 22845/3136 - -3/3136. Factor -u*q + 3/7*q**2 + 0.
3*q*(q - 17)/7
Suppose -2208 = 34*p - 8634. Suppose -p*z = -196*z + 14. Solve 1/2*n**z + 3/2 - 2*n = 0 for n.
1, 3
Let l(w) = 5*w**3 + 120*w**2 - 170*w + 45. Let y(i) = 3*i**3 + i**2 - 3*i - 1. Let u(v) = l(v) - 5*y(v). Suppose u(o) = 0. Calculate o.
1/2, 1, 10
Let j be 3/4 - -1*(-11)/(-20)*-1. Factor 0 - 3/5*i**2 + 2/5*i + j*i**3.
i*(i - 2)*(i - 1)/5
Let w = 11335 + -11333. Let n(j) be the second derivative of 1/2*j**3 - 6*j + 1/2*j**4 + 0 + 0*j**w. Factor n(y).
3*y*(2*y + 1)
Find d, given that 2*d**3 - 22/3*d - 2*d**2 - 4 + 2/3*d**4 = 0.
-3, -1, 2
Let z(q) be the first derivative of -3*q**4/4 + 41*q**3 - 174*q**2 + 228*q - 593. Factor z(o).
-3*(o - 38)*(o - 2)*(o - 1)
Let l = 723454/542595 + 2/180865. Factor 0*r**3 - 8/3*r**2 + 8/3*r**4 + 0 - l*r + 4/3*r**5.
4*r*(r - 1)*(r + 1)**3/3
Let g = 4/497 - -2473/1491. Let u(k) be the first derivative of 27 + g*k**2 + 2/9*k**3 + 0*k. Let u(y) = 0. Calculate y.
-5, 0
Let j(q) be the second derivative of q**7/10080 - q**6/180 + q**5/32 - q**4/6 - 3*q**2 + 17*q. Let s(c) be the third derivative of j(c). Factor s(l).
(l - 15)*(l - 1)/4
What is f in 386/7*f**3 + 824/7*f**2 + f**5 - 9/7*f - 324/7 - 116/7*f**4 = 0?
-1, 4/7, 9
Let q(y) be the first derivative of -y**3/15 + y**2/10 + 6*y/5 + 96. Determine r so that q(r) = 0.
-2, 3
Let u(q) = q**3 - 6*q**2 - 12*q - 19. Let o be u(8). Factor -5*d**2 + o*d**2 - 360*d + 4*d**5 - 4*d**3 - 8*d**4 + 360*d.
4*d**2*(d - 2)*(d - 1)*(d + 1)
Factor 700*z + 5/4*z**2 + 98000.
5*(z + 280)**2/4
Let 52149*u**2 + 28*u + 20*u - u**4 + 47 - 48*u**3 - 52195*u**2 = 0. Calculate u.
-47, -1, 1
Let r(j) be the first derivative of 5*j**4/16 + 163*j**3/12 + 48*j**2 - 45*j - 249. Determine y, given that r(y) = 0.
-30, -3, 2/5
Let j(t) be the first derivative of -24 - 10/3*t**3 - 40*t + 15/4*t**4 + t**5 - 30*t**2. Factor j(a).
5*(a - 2)*(a + 1)*(a + 2)**2
Solve -486*x + 191*x + 5*x**2 + 1430 + 120*x = 0.
13, 22
Suppose 0 = -82*t + 88*t - 30. Solve -74*d**3 - 37*d**4 - 23*d - 3*d**4 - 24*d**2 + 9 - t + 37*d = 0 for d.
-1, -1/4, 2/5
Let k = -901697 - -901699. Solve -16 + 264/7*g + k*g**4 + 150/7*g**3 + 404/7*g**2 = 0 for g.
-7, -2, 2/7
Let r(d) = 12*d**3 + 1818*d**2 - 3573*d - 5421. Let c(f) = -3*f**3 - 454*f**2 + 894*f + 1355. Let b(g) = -21*c(g) - 5*r(g). Factor b(l).
3*(l - 3)*(l + 1)*(l + 150)
Let i(z) be the third derivative of z**7/280 + 3*z**6/16 + 13*z**5/20 - 15*z**4/4 - 28*z**3 + 599*z**2. Determine t so that i(t) = 0.
-28, -2, 2
Solve -13*u**4 + 8*u**4 + 251*u**3 - 71*u**3 = 0.
0, 36
Let u(l) be the second derivative of -l**7/147 - 11*l**6/105 - 3*l**5/35 + 22*l**4/21 + 40*l**3/21 - 1381*l - 2. Determine p, given that u(p) = 0.
-10, -2, -1, 0, 2
Let v(n) be the third derivative of -1/20*n**6 + 0*n + 2*n**3 - 13/12*n**4 + 1/315*n**7 + 29/90*n**5 - 6*n**2 - 2. Find a such that v(a) = 0.
1, 2, 3
Let q(f) = f**3 + 3*f**2 - 12*f - 7. Let i be q(-5). Factor 3*r + 3*r**i - 9*r - 3*r**2 - r**4 + 7*r.
-r*(r - 1)**3
Let h = 3677 + -3677. Let q(o) = o - 12. Let t be q(12). Determine k, given that h*k + 2/5*k**3 + t + 2/5*k**2 = 0.
-1, 0
Let v be (-976)/12857 - (-11 - (-142)/13). Let w = v + 25705/8901. Factor 22/9*q**4 + 4/9*q**2 + 0*q + w*q**3 + 0.
2*q**2*(q + 1)*(11*q + 2)/9
Let o(k) be the first derivative of -9/2*k**2 + 1/3*k**3 - 123 + 18*k. Factor o(c).
(c - 6)*(c - 3)
Let n(u) be the first derivative of 0*u**2 + 0*u + 21 + 1/12*u**3. Factor n(j).
j**2/4
Suppose 0*s + 20 = 5*s, -4*k + 12 = 5*s. Let f(i) = -2*i**2 + i. Let a(b) = b**3 + 2*b**2 + 10*b. Let u(p) = k*f(p) + a(p). Factor u(l).
l*(l + 2)*(l + 4)
Let a = 8 + -4. Suppose 4 = 2*b - 0*b. Factor 4*p**3 + a*p**b - p - 4 - p - 5*p + 3*p.
4*(p - 1)*(p + 1)**2
Let c be (-12)/(-8)*(-86)/(-258). Factor 4*v + 0*v**3 - 3*v**2 + c*v**4 - 3/2.
(v - 1)**3*(v + 3)/2
Let f(w) be the first derivative of 9/80*w**5 + 0*w**2 - 9/32*w**4 - w + 0*w**3 - 4 - 1/80*w**6. Let b(p) be the first derivative of f(p). Factor b(z).
-3*z**2*(z - 3)**2/8
Let z be ((-48)/(-8))/(4/22). Factor 12*h + 11*h**2 - z*h**2 + 9*h**2 + 9 + 16*h**2.
3*(h + 1)*(h + 3)
Let f be (0 + (-160)/(-24))/((-4)/(-3)) + -2. Factor -3*s**f - 31/5*s**2 - 17/5*s - 1/5.
-(s + 1)**2*(15*s + 1)/5
Let p = 2/1101989 + 93669061/2203978. Determine u, given 