+ 182*y**2. Factor f(g).
-(g - 8)**2*(g + 4)/3
Let z be (2 + 3)/5 + 1. Determine q so that 5*q**2 + 28 - 9 + z + 19 - 30*q = 0.
2, 4
Let a(d) = d**2. Let v(o) = -12*o + 12*o**3 - 5*o**4 + 1 + 0*o**3 + 3. Let u(h) = -3*a(h) - 3*v(h). Determine l, given that u(l) = 0.
-1, 2/5, 1, 2
Let n(r) be the second derivative of -r**7/8820 + r**6/840 - r**4/12 + 9*r. Let x(d) be the third derivative of n(d). Factor x(h).
-2*h*(h - 3)/7
Factor -j + 0*j + 4*j**4 - 11*j**3 - j**3 + 17*j.
4*j*(j - 2)**2*(j + 1)
Let t(g) be the second derivative of g**8/26880 + g**7/10080 - 7*g**4/6 - 10*g. Let j(h) be the third derivative of t(h). What is x in j(x) = 0?
-1, 0
Let x(j) be the third derivative of -j**7/105 + j**6/84 + j**5/105 - 619*j**2. Factor x(s).
-2*s**2*(s - 1)*(7*s + 2)/7
Let u(f) be the second derivative of f**5/70 - f**3/3 - 6*f**2/7 - 2*f + 6. Solve u(r) = 0 for r.
-2, -1, 3
Suppose 4*u = 4*f - 776, 3*f + 8 = -f. Let n be (-7)/(u/(-24))*-14. Suppose 11*y - 3*y - 5*y**4 + 3*y**4 + 2 + 8*y**3 + 4*y**4 + n*y**2 = 0. Calculate y.
-1
Let r(u) be the second derivative of u**6/24 - u**5/12 - 6*u**2 - 12*u. Let q(n) be the first derivative of r(n). Factor q(d).
5*d**2*(d - 1)
Let a = -332 - -337. Factor 1/4*i**3 - 3/4*i**2 + 1/4*i**a - 1/2*i + 0 + 3/4*i**4.
i*(i - 1)*(i + 1)**2*(i + 2)/4
Let q be (-2 - (-3 - -4))*40/(-180). Factor -q*f**2 - 32/3 - 16/3*f.
-2*(f + 4)**2/3
Let o(x) = -2*x**2 - 2*x - 16*x**4 + 21*x**4 - x**3 + 9*x**3. Let p(h) = -h**3 - h**2 - h. Let y(i) = o(i) + 3*p(i). Factor y(u).
5*u*(u - 1)*(u + 1)**2
Let l = -6892/5 + 6904/5. Factor -18/5 - 2/5*t**2 - l*t.
-2*(t + 3)**2/5
Let t(q) be the second derivative of -q**5/4 + 5*q**4/3 + 70*q. Factor t(s).
-5*s**2*(s - 4)
Factor 8*f**2 - 68*f**2 - 3*f**4 - 84*f + 10*f**3 - 26*f**3 - 72*f**2 - 35*f**3.
-3*f*(f + 1)*(f + 2)*(f + 14)
Let i be (4 - 6)/(3 - 2). Let m be 16/10 + i/(-5). Factor -24*d + 3*d**2 + d**2 + 42 + 6 - d**m.
3*(d - 4)**2
Let h(m) be the first derivative of 3*m**4/4 + 5*m**3 + 3*m**2 - 24*m + 87. Find q, given that h(q) = 0.
-4, -2, 1
Let f(k) be the second derivative of -k**4/30 - 16*k**3/15 - 28*k**2/5 - 128*k. Factor f(i).
-2*(i + 2)*(i + 14)/5
Let j be -28*((-192)/(-28) + -7). Factor 0 - 1/5*z**2 + 2/5*z + 1/5*z**j - 2/5*z**3.
z*(z - 2)*(z - 1)*(z + 1)/5
Let o = 2/205 - -368/4305. Let l(r) be the first derivative of 1 + 2/7*r**2 - 6/7*r + o*r**3. Factor l(u).
2*(u - 1)*(u + 3)/7
Suppose 0 + 2/9*f**3 - 2/9*f**2 + 0*f = 0. What is f?
0, 1
Suppose 17*m - 162 = -2491. Let j = -1779/13 - m. Factor 20/13*o**2 + 0 + 108/13*o**4 - j*o - 72/13*o**3 - 54/13*o**5.
-2*o*(o - 1)*(3*o - 1)**3/13
Let d(h) be the third derivative of h**6/280 + 3*h**5/70 + 5*h**4/56 + 83*h**2. Factor d(r).
3*r*(r + 1)*(r + 5)/7
Let k = -543/154 + 310/77. Factor 0 + 0*w + w**4 + k*w**2 - 1/4*w**5 - 5/4*w**3.
-w**2*(w - 2)*(w - 1)**2/4
Let q(o) = -7*o**2 + 58*o + 62. Let j(y) = -3*y**2 - 2*y. Let m(p) = -3*j(p) + q(p). Find x, given that m(x) = 0.
-31, -1
Let p(q) be the first derivative of 1/3*q**3 - 3/2*q**2 + 0*q + 5. Factor p(d).
d*(d - 3)
Suppose -5*q + 31 - 11 = 0. Let t be (2 - q)*1*-1. Find h such that 1/2 + 0*h - 1/2*h**t = 0.
-1, 1
Factor -29/11*y - 20/11 - 1/11*y**3 - 10/11*y**2.
-(y + 1)*(y + 4)*(y + 5)/11
Let p(r) = r + 8. Suppose 2*t + 4 = v - 0*t, 9 = -4*v + 3*t. Let j be p(v). Factor -8*s**4 + 4*s**4 + 3*s**5 - j*s**3 + 4*s**3 - s**3.
s**3*(s - 1)*(3*s - 1)
Let z(k) be the second derivative of 0 + k**2 + 1/54*k**4 + 2/9*k**3 - 8*k. Factor z(u).
2*(u + 3)**2/9
Solve -2/3*t**3 - 38/3*t**2 + 0 + 0*t = 0.
-19, 0
Let d(q) = -2*q**3 + 5*q**2 - 4*q - 1. Let r be d(3). Let m = r - -23. Determine x, given that 4*x + 0 + m + 2*x**2 + 1 + 0 = 0.
-1
Let q = -537 + 375. Let g = q - -164. Factor 18/5*a - 3/5*a**g - 27/5.
-3*(a - 3)**2/5
Let z be 1 + (1 - (0 - -2)). Let k(n) be the third derivative of 0*n**4 - 1/420*n**5 + 1/840*n**6 - 5*n**2 + 0*n + 0 + z*n**3. Find h, given that k(h) = 0.
0, 1
Let t(b) = -2*b**2 + 16*b - 21. Let p be t(6). Let s be p + (-55)/25 - 18/35. Determine l so that 2/7*l**2 + 0*l**3 + 0*l - s*l**4 + 0 = 0.
-1, 0, 1
Factor -182/3 + 1/3*l**2 - 181/3*l.
(l - 182)*(l + 1)/3
Suppose 6*l - 3*l - 13 = -x, 2*l + x = 9. Suppose -32*b - 2 = -27 - 39. Find q such that 0*q + 0 - 2/5*q**l + 2/15*q**b + 4/15*q**5 + 0*q**3 = 0.
-1/2, 0, 1
Let a(l) = -38*l - 6. Let n be a(-7). Suppose -2*m + n = 3*m. Suppose 5*f**2 + 4*f - 40*f**5 - 19*f**2 - 24*f**3 + 126*f**4 - m*f**4 = 0. What is f?
-2/5, 0, 1/4, 1
Let t(m) be the first derivative of -121*m**3/24 - 55*m**2/4 - 25*m/2 - 322. Solve t(u) = 0 for u.
-10/11
Let c = 2089/6051 - 24/2017. Factor -4/3*u + 1/3*u**4 - 4/3*u**2 + c*u**3 + 0.
u*(u - 2)*(u + 1)*(u + 2)/3
Let n(p) = p**3 - p**2 - p. Let q(k) = k**3 - k**2 - k. Let x(h) = -5*n(h) + 4*q(h). Let t be x(0). Find v, given that 0*v**2 + t - 2/7*v**3 + 0*v = 0.
0
Let w = -17998/3045 + 757/105. Let g = w - -1/29. Factor -14/3*b**2 - 10/3*b**3 + 0 - g*b.
-2*b*(b + 1)*(5*b + 2)/3
Factor 5/4*a**2 - 11/2 + 53/4*a.
(a + 11)*(5*a - 2)/4
Let q = -1393 + 1396. Let f(j) be the first derivative of -10/33*j**q + 0*j + 7/22*j**4 - 2/11*j**2 - 11. Solve f(s) = 0.
-2/7, 0, 1
Let k = -106 + 154. Factor -13*v**2 + 33*v**2 - 109*v - 34*v + 15*v + k.
4*(v - 6)*(5*v - 2)
Suppose -11*o + 20 = -21*o. Let u be 9/(9/o) - -4. Determine z, given that -6/13*z - 2/13*z**3 + 6/13*z**u + 2/13 = 0.
1
Let i(r) be the second derivative of -r**5/70 + r**4/6 - 2*r**3/7 - 265*r. Factor i(u).
-2*u*(u - 6)*(u - 1)/7
Let q(v) be the first derivative of 4*v**2 + 21 + 4/3*v**3 + 4*v. Determine l, given that q(l) = 0.
-1
Find v such that 156/5*v**2 + 324/5 + 396/5*v + 4*v**3 = 0.
-3, -9/5
Let g be 555/(-1443) + 244/364. Factor -6/7*f**3 + 0*f**2 + 0*f + 0 + g*f**4.
2*f**3*(f - 3)/7
Let f be 18/63 + (-173)/(-7). Let t = f - 22. Factor -2*k + 2*k**t + 0*k**3 - 3*k**3 + 3*k**2 + 0*k.
-k*(k - 2)*(k - 1)
Let t(u) = -u**2 - 11*u + 25. Let m be t(-11). Let c(o) = -2*o**2 - 7*o. Let p(g) = 15*g**2 + 55*g. Let w(a) = m*c(a) + 3*p(a). Suppose w(h) = 0. What is h?
-2, 0
Let z = 3396/7 + -478. Factor -z*i - 24/7*i**2 - 12/7 + 2*i**3.
2*(i - 3)*(i + 1)*(7*i + 2)/7
Let i(x) be the third derivative of 2/15*x**3 - 1/900*x**6 + 0 - 13*x**2 - 13/180*x**4 + 0*x + 4/225*x**5. Factor i(w).
-2*(w - 6)*(w - 1)**2/15
Find x, given that 36*x + 3/4*x**2 - 3/4*x**4 + 3/4*x**5 - 39/4*x**3 + 27 = 0.
-2, -1, 3
Let h(y) = y**2 - 6*y + 3. Let q be h(7). Factor q*j**2 - 5*j**5 - 10*j**4 - 20*j**3 + 20*j**3 + 5*j.
-5*j*(j - 1)*(j + 1)**3
Let u(n) = 23*n - 391. Let l be u(17). Determine k, given that 2/3*k**3 - 4/3*k**2 + l + 2/3*k = 0.
0, 1
Let j(f) be the second derivative of -74805201*f**6/70 - 4826142*f**5/35 - 51894*f**4/7 - 1488*f**3/7 - 24*f**2/7 - 30*f. Factor j(t).
-3*(93*t + 2)**4/7
Factor -131*q**2 - 11*q - 6 + 3*q**2 - 121*q + 2.
-4*(q + 1)*(32*q + 1)
Factor 16/9 + 44*z**2 + 152/9*z + 18*z**3.
2*(z + 2)*(9*z + 2)**2/9
Let o(u) = -10*u**3 + 62*u**2 - 58*u + 42. Let a(i) = -4*i**3 + 25*i**2 - 23*i + 17. Let b(n) = 12*a(n) - 5*o(n). Determine h, given that b(h) = 0.
1, 3
Let q(x) be the first derivative of x**5/15 - x**4/4 - 2*x**3/9 + 2*x**2 - 8*x/3 - 669. Let q(y) = 0. Calculate y.
-2, 1, 2
Let j(w) = w**2 - 112*w - 1089. Let m be j(-9). Find h, given that 4/15*h + m + 14/15*h**2 = 0.
-2/7, 0
Suppose 42*j - 33*j = 63. Let o(w) be the third derivative of 0*w - 1/168*w**8 + 0 + 0*w**5 - 2/105*w**j - 2*w**2 + 0*w**4 - 1/60*w**6 + 0*w**3. Factor o(i).
-2*i**3*(i + 1)**2
Suppose -24*d + 5 - 5 = 0. Let x(j) be the third derivative of 3*j**2 + 0 + d*j - 3/20*j**5 - 1/40*j**6 + 0*j**3 + 0*j**4. Let x(p) = 0. What is p?
-3, 0
Suppose 6 = 15*g - 12*g. Suppose -u = -2*q + 1, -4*q = -g*u + q - 4. Factor 0 + 3/5*l**u - 1/5*l - 2/5*l**2.
l*(l - 1)*(3*l + 1)/5
Let d(j) be the third derivative of -j**9/2016 - j**8/1120 + j**7/560 + j**6/240 + 4*j**3 - 13*j**2. Let c(w) be the first derivative of d(w). Factor c(h).
-3*h**2*(h - 1)*(h + 1)**2/2
Let a = 40 + -37. Let h(q) be the first derivative of -4 + 26*q**2 - 16/3*q**a - 12*q. Factor h(r).
-4*(r - 3)*(4*r - 1)
Let -710*v**2 - 5687*v - 16245 + 685*v**3 - 5*v**4 - 525*v**3 - 3433*v = 0. What is v?
-3, 19
Let l(d) be the second derivative of 0 + 19*d + 0*d**3 - 1/18*d**6 + 1/6*d**5 - 5/36*d**4 + 0*d**2. Factor l(p).
-5*p**2*(p - 1