40*i + 376588*i**2 - 376142*i**2 = 0?
-1, 112
Suppose 4*b = 3*i - 10, -53*i = -4*b - 58*i + 38. Factor -1/4*w**4 + 0 + 5/2*w + 1/4*w**b - 5/2*w**3.
-w*(w - 1)*(w + 1)*(w + 10)/4
Let b(a) = -7*a**5 + 12*a**4 + 160*a**3 - 2432*a**2 - 12282*a + 32756. Let g(m) = -m**5 - m**4 + m - 2. Let s(k) = b(k) - 6*g(k). Find v such that s(v) = 0.
-8, 2, 16
Let h(l) be the first derivative of 1/7*l**3 + 6/7*l**2 - 15/7*l + 69. Factor h(k).
3*(k - 1)*(k + 5)/7
Factor -63/2*m - 123/4*m**2 + 3/4*m**3 + 0.
3*m*(m - 42)*(m + 1)/4
Let w(h) be the second derivative of -h**5/10 - 9*h**4/2 - 74*h**3/3 - 48*h**2 - 34*h + 4. Factor w(r).
-2*(r + 1)*(r + 2)*(r + 24)
Suppose 223 - 22*j**4 - 223 + 147*j**3 + 8*j**4 - 12*j**2 + 173*j**4 = 0. Calculate j.
-1, 0, 4/53
Let 3*p**2 + 15*p + 4 - 7/4*p**3 = 0. What is p?
-2, -2/7, 4
Let q(a) be the second derivative of a**6/30 - 2399*a**5/20 + 639999*a**4/4 - 513912805*a**3/6 + 510082399*a**2 + 2*a + 536. Factor q(d).
(d - 799)**3*(d - 2)
Let n be -1*4 - (-10768)/(-288)*51. Let s = n + 1916. Determine y, given that 2*y**3 - 4/3 + y + s*y**2 - 5/6*y**4 = 0.
-1, 2/5, 4
Suppose 44 = -s + 3. Let a = s - -44. Solve 8*v**3 - 3*v**3 - 3*v**2 - a*v + 3*v**4 - 2*v**3 = 0.
-1, 0, 1
Let z = 383/81 - 1127/324. Factor -15/2*q + 25/4 + z*q**2.
5*(q - 5)*(q - 1)/4
Let o be -5 + (16/224 - 222/(-28)). Let d(j) be the third derivative of 0 + 6*j**2 + 2/3*j**o - 2/15*j**5 + 0*j - 1/6*j**4. Factor d(l).
-4*(l + 1)*(2*l - 1)
Let r(a) be the second derivative of -a**4/54 - 65*a**3/3 - 584*a**2/9 - 458*a + 2. Factor r(c).
-2*(c + 1)*(c + 584)/9
Let n = 365/442 - -149/221. Factor -1/8*x**2 + n + 1/8*x.
-(x - 4)*(x + 3)/8
Factor 285/4*y - 207/2 - 13*y**2 + 1/4*y**3.
(y - 46)*(y - 3)**2/4
Suppose -172 = 882*s - 3700. Solve -3/5*d**s - 24/5*d + 24/5*d**3 + 21/5 - 18/5*d**2 = 0.
-1, 1, 7
Let d be 10545/23310 + (4 - (-249)/(-63)). Solve -3/4*i**4 + 1/4 - 1/2*i**3 + 3/4*i - 1/4*i**5 + d*i**2 = 0 for i.
-1, 1
Let w = -29 + 18. Let l = 191 + w. Factor 23*y - l - 3*y**2 + 37*y - 2*y**2.
-5*(y - 6)**2
Let h(c) = c**2 + 17*c - 126. Let k be h(5). Let u be 48/(-72)*(4 - (-172)/k). Factor 2 + 6*i + u*i**2.
(3*i + 2)**2/2
Let a = -140 + 142. Determine c, given that 4*c**a + 55*c - 16*c + 5*c = 0.
-11, 0
Let l(v) be the second derivative of -1645*v**4/12 - 1660*v**3/3 - 30*v**2 - 5452*v. Suppose l(r) = 0. Calculate r.
-2, -6/329
Let s be (0 - 11)*(-1)/(88/16). Factor -4 - 22*y + 54*y**3 - 109*y**3 - 32*y**s + 41*y**3.
-2*(y + 1)**2*(7*y + 2)
Let b(a) = -47*a**3 + 51*a**2 - 22. Let f(g) = 46*g**3 - 51*g**2 - g + 33. Let i(n) = -3*b(n) - 2*f(n). Solve i(h) = 0.
0, 2/49, 1
Suppose -14*k = 14*k. Factor -8*u**4 - 50*u**3 + 34*u**3 + 4*u**5 + 8*u**2 + k*u + 12*u.
4*u*(u - 3)*(u - 1)*(u + 1)**2
Suppose -2*t = x - 2*x - 2, 0 = 3*x - 12. Factor 507*m**4 - 2*m**t - 13*m - 349*m**3 + m - 144*m**2.
3*m*(m - 1)*(13*m + 2)**2
Let z = -77 - -96. Suppose 2*h = -4*w - 7 + z, 3*w - 9 = -2*h. Factor -o**2 + 3*o**2 - 5*o**2 + 0*o**3 - o**w - 2*o.
-o*(o + 1)*(o + 2)
Let v(r) be the first derivative of r**6/27 + 8*r**5/9 - r**4/6 - 116*r**3/27 + 40*r**2/9 - 872. Determine y, given that v(y) = 0.
-20, -2, 0, 1
Let f(h) = -h**3. Suppose x - 14*x = 39. Let v(u) = -7*u**3 + 36*u**2 - 96*u + 80. Let b(m) = x*f(m) + v(m). Factor b(l).
-4*(l - 5)*(l - 2)**2
Let z = -4171 + 4173. Let q(t) be the second derivative of 16*t - 4/15*t**3 - 7/50*t**5 + 8/15*t**4 + 0 + 0*t**z. Factor q(y).
-2*y*(y - 2)*(7*y - 2)/5
Let y = 829 + -827. Let k be (y/(-55))/((-48)/240). Factor 4/11*x**3 + 0 + 0*x**2 + 0*x**4 - k*x**5 - 2/11*x.
-2*x*(x - 1)**2*(x + 1)**2/11
Let u(s) be the second derivative of 2/3*s**3 - 36*s + 5/2*s**2 + 0 - 1/12*s**4. Factor u(z).
-(z - 5)*(z + 1)
Let j = -594 + 601. Let n(v) be the first derivative of j + 2/3*v - 1/6*v**2 - 1/9*v**3. Determine f so that n(f) = 0.
-2, 1
Let z(t) be the first derivative of -5*t**6/18 - 22*t**5/15 + 187*t**4/12 - 64*t**3/3 - 18*t**2 - 333. Find b such that z(b) = 0.
-9, -2/5, 0, 2, 3
Let j(i) be the first derivative of 2/3*i**3 + 0*i**4 - 2/5*i**5 - 1/2*i**2 + 1/6*i**6 + 0*i + 111. Suppose j(z) = 0. What is z?
-1, 0, 1
Suppose -61 = -3*g - 49. Suppose a + 0 + 19 = 5*v, 0 = -g*v - 2*a + 18. Factor -12*h**2 + 12 + 2*h - v*h**2 + 12*h**2.
-2*(h - 2)*(2*h + 3)
Let i(c) be the second derivative of 40/3*c**3 - 6*c**4 - 16*c**2 - c - 2/15*c**6 + 21 + 7/5*c**5. Factor i(w).
-4*(w - 2)**3*(w - 1)
Let x = -19 + 39/2. Let y(g) = -g**3 + g**2 + 28*g + 100. Let o be y(7). Factor x*b**o + 0 + 2*b.
b*(b + 4)/2
Let b(v) = 0*v + 20*v - 54 + 79*v - 80*v**2. Let m(u) = -25*u**2 + 33*u - 18. Let i(q) = -2*b(q) + 7*m(q). Determine o, given that i(o) = 0.
1, 6/5
Factor 96/5*i - 3/5*i**2 - 36.
-3*(i - 30)*(i - 2)/5
Let x(c) be the first derivative of 1/40*c**6 + 0*c - 4*c**2 + 1 + 0*c**3 + 0*c**5 + 0*c**4. Let o(i) be the second derivative of x(i). Factor o(p).
3*p**3
Let j(q) be the first derivative of 23*q**2/2 + 328*q + 287. Let z be j(-14). Find f, given that -z*f + 3/4*f**2 + 12 = 0.
4
Let m(p) be the second derivative of p**7/2100 + p**6/450 - p**5/100 - p**3/6 - 7*p**2/2 + p - 5. Let y(i) be the second derivative of m(i). Factor y(c).
2*c*(c - 1)*(c + 3)/5
Suppose 214*b = 407 + 21. Let h(q) be the first derivative of -1/6*q**6 - 8*q**4 + 56/3*q**3 + 22 - 24*q**b + 16*q + 9/5*q**5. Factor h(c).
-(c - 2)**4*(c - 1)
Let s(j) be the first derivative of 4*j**5/25 - 23*j**4/5 + 388*j**3/15 - 258*j**2/5 + 216*j/5 - 5411. Determine t so that s(t) = 0.
1, 3, 18
Let j be 1*4/(-30) - (-8428)/67080*13. Find r, given that -j*r**2 - 6 + 6*r = 0.
2
Let s(i) be the second derivative of 0 + 0*i**2 + 41*i - 1/4*i**4 + 5/2*i**3. Suppose s(m) = 0. What is m?
0, 5
Suppose 20*q - 362 = -q - 194. Let x(v) be the second derivative of q*v - 1/25*v**5 + 0*v**2 + 0*v**4 + 0*v**3 + 0 + 1/75*v**6. Factor x(l).
2*l**3*(l - 2)/5
Let g(p) = 24*p**2 + 505*p + 42. Let c be g(-21). Let v(x) be the second derivative of c*x + 1/3*x**3 - 1/24*x**4 + 0*x**2 + 0. Solve v(h) = 0 for h.
0, 4
Let k(j) be the first derivative of -j**5/38 - j**4/57 + j**3/19 + 28*j + 22. Let i(y) be the first derivative of k(y). Factor i(r).
-2*r*(r + 1)*(5*r - 3)/19
Suppose -3*v + 5*q = 2*v - 3365, -3*q - 2689 = -4*v. Let w = 8720/13 - v. Factor -12/13*h - w*h**2 - 2/13.
-2*(h + 1)*(5*h + 1)/13
Let i(v) be the first derivative of 3*v**5/80 - v**4/16 - 5*v**3/8 - 9*v**2/8 - 40*v - 120. Let s(u) be the first derivative of i(u). Solve s(m) = 0.
-1, 3
Let x(q) = -3*q**4 - 225*q**3 - 486*q**2 - 246*q. Let n(r) = -r**4 - 113*r**3 - 243*r**2 - 123*r. Let i(p) = -9*n(p) + 4*x(p). Find y such that i(y) = 0.
-1, 0, 41
Factor -330*o**3 + 124848 - 96*o**3 + 2808*o**2 + o**4 - 5374*o**2 + 18913*o**2 + 2*o**4 - 86904*o.
3*(o - 68)**2*(o - 3)**2
Let n(x) be the first derivative of 21/2*x**2 + 1/540*x**5 + 4 + 1/27*x**4 + 8/27*x**3 + 0*x. Let s(z) be the second derivative of n(z). Factor s(b).
(b + 4)**2/9
Suppose 13*m - 68 = 62. What is j in -j + 224 + m*j - j**2 + 0*j - 230 - 2*j**2 = 0?
1, 2
Factor -4*u**2 + 327375*u + 3*u**2 - 327433*u.
-u*(u + 58)
Find a, given that -1/2*a**4 - 3*a**3 + 11*a - 15/2 + 0*a**2 = 0.
-5, -3, 1
Let m(u) be the second derivative of -7*u**6/6 + 18*u**5 + 3505*u**4/12 - 825*u**3 + 560*u**2 + 2952*u. Let m(y) = 0. Calculate y.
-7, 2/7, 1, 16
Factor -1080/7*j + 0 + 236/7*j**2 - 4/7*j**3.
-4*j*(j - 54)*(j - 5)/7
Find f such that -5170/3*f + 2/3*f**2 - 1724 = 0.
-1, 2586
Let i(x) be the first derivative of -5*x**3/9 + 14*x**2/3 - 5*x + 2082. What is p in i(p) = 0?
3/5, 5
Let o(w) be the third derivative of w**3 + 0 - w - 7/24*w**4 + 1/60*w**5 - 4*w**2. Solve o(m) = 0 for m.
1, 6
Let n be 12/(-28) + ((-76)/(-14) - 2). Suppose 4*z**5 + 120*z**n - 48*z - 16*z**2 - 36 + 180*z - 168*z**2 - 36*z**4 = 0. Calculate z.
1, 3
Let i(k) be the third derivative of -k**8/28 - 4*k**7/105 + k**6/3 - 7*k**4/6 + 4*k**3/3 - 848*k**2. Find g such that i(g) = 0.
-2, -1, 1/3, 1
Let d(h) be the first derivative of 0*h - 10/11*h**2 + 1/33*h**6 - 22 - 14/33*h**3 + 9/22*h**4 + 14/55*h**5. Suppose d(i) = 0. What is i?
-5, -2, -1, 0, 1
Let g = -154807 + 1702879/11. Let 56/11*r - 104/11 - g*r**2 = 0. Calculate r.
2, 26
Let o(p) be the first derivative of -5*p**5/24 - 5*p**4/3 - 5*p**3/4 + 49*p**2/2 + 42. Let h(l) be the second derivative of o(l). Wha