7*g + 2)
Find x, given that 11424582 + 1002240*x**2 + 16221982 - 1002236*x**2 + 21032*x = 0.
-2629
Let w(v) be the first derivative of -1/38*v**4 + 8/19*v**3 - 34 - 36/19*v**2 + 0*v. Factor w(h).
-2*h*(h - 6)**2/19
Let t = 26 - -6. Let v = t + -18. Solve -6*w**2 + 4*w + 2 - 3*w + v*w - 8 = 0.
1/2, 2
Factor -218/5*i**2 - 2/5*i**3 - 848/5*i - 168.
-2*(i + 2)**2*(i + 105)/5
Let t be -47*(-9)/33 + 5*(3 - 2) + -14. Let 12/11*n**2 + t*n**3 - 48/11 + 0*n**4 - 6/11*n**5 - 72/11*n = 0. Calculate n.
-2, -1, 2
Let s(p) = -119*p + 4284. Let l be s(36). Let i(y) be the first derivative of -4/9*y**3 + l*y**2 + 18 + 2/15*y**5 + 1/6*y**4 + 0*y. Factor i(x).
2*x**2*(x - 1)*(x + 2)/3
Let x(j) be the third derivative of 0*j - 7/20*j**5 - 1/20*j**6 + 73*j**2 - 1/2*j**4 + 1/70*j**7 + 0 + 0*j**3. Factor x(t).
3*t*(t - 4)*(t + 1)**2
Let s(q) be the first derivative of 4*q**3/9 + 2081*q**2/3 + 2080*q/3 + 12519. Factor s(c).
2*(c + 1040)*(2*c + 1)/3
Let o(i) = 2*i**3 + 8*i**2 - 9*i. Let x(m) = -3*m**3 - 9*m**2 + 10*m. Suppose -2*s + 23 = 31. Let k(u) = s*o(u) - 3*x(u). Suppose k(q) = 0. Calculate q.
0, 2, 3
Let j(z) be the first derivative of 3*z**3 - 27*z**2/2 - 90*z - 1. Let x(h) = 5*h**2 - 13*h - 46. Let b(u) = -3*j(u) + 5*x(u). Factor b(q).
-2*(q - 10)*(q + 2)
Let v(i) = -i**3 - 6*i**2 + 38*i - 15. Let t be v(-10). Factor 9*j - 31*j + 10*j + 2*j + t*j**2 + 5*j**3.
5*j*(j - 1)*(j + 2)
Let h(g) be the second derivative of g**7/168 + g**6/12 - g**5/40 - 5*g**4/12 + g**3/24 + 5*g**2/4 + 609*g. What is i in h(i) = 0?
-10, -1, 1
Let a = -268 + 271. Solve 144 + 12*o**a + 1024*o - 224*o - 320*o + 148*o**2 = 0 for o.
-6, -1/3
Let q(h) be the third derivative of 0 - 8/3*h**3 - 1/3*h**4 + 1/15*h**5 + 1/60*h**6 - 10*h + 4*h**2. Factor q(u).
2*(u - 2)*(u + 2)**2
Let g = 7150792/249 - 28718. Let a = g - -1922/1743. Determine h so that -2/7*h**4 + 4/7*h**3 + 0 - 16/7*h + a*h**2 = 0.
-2, 0, 2
Let a(m) = 9*m**2 - 12*m + 15. Let w(l) = 8*l**2 - 12*l + 14. Let v = -206 - -211. Let r(c) = v*a(c) - 6*w(c). Let r(k) = 0. Calculate k.
1, 3
Factor 45/7*q - 1/7*q**2 + 46/7.
-(q - 46)*(q + 1)/7
Find m, given that 6/7*m**5 - 465/7*m**4 - 234/7 - 243/7*m**3 + 699/7*m**2 + 237/7*m = 0.
-1, 1/2, 1, 78
Let x(z) be the second derivative of 2*z + 1/3*z**7 + 0*z**3 + 10 + 0*z**2 - 1/10*z**5 + 0*z**4 + 2/5*z**6. Factor x(n).
2*n**3*(n + 1)*(7*n - 1)
Let 1/6*a**4 - 43/3*a**3 - 89/6 - 133/3*a - 44*a**2 = 0. Calculate a.
-1, 89
Let j be (-2434)/(-6) - 96/144. Find a such that -80*a**2 + 2289*a + 308*a**2 - j*a + 2*a**3 + 4614*a = 0.
-57, 0
Let l(w) be the second derivative of -9*w**5/20 + 2675*w**4/4 - 1781*w**3/2 - 2673*w**2/2 + 94*w - 6. Suppose l(x) = 0. What is x?
-1/3, 1, 891
Let c(r) be the first derivative of -4 + 0*r + 1/18*r**4 - 4/9*r**2 + 2/9*r**3. Find u, given that c(u) = 0.
-4, 0, 1
Let d(y) = -6*y**2 + 528*y - 789. Let m(g) = -11*g**2 + 950*g - 1579. Let t(s) = 5*d(s) - 3*m(s). Solve t(h) = 0 for h.
4, 66
Suppose 0 = 164*a - 320*a + 169*a. Let l(o) be the second derivative of -8/7*o**4 + 0*o**2 + a + 8/21*o**3 + 3/5*o**5 + 17*o + 14/15*o**6. Factor l(p).
4*p*(p + 1)*(7*p - 2)**2/7
Let o(g) be the first derivative of g**8/840 + g**7/420 - g**6/45 - g**5/15 + g**3/3 + g**2/2 + 65. Let z(t) be the third derivative of o(t). Factor z(b).
2*b*(b - 2)*(b + 1)*(b + 2)
Let a(g) be the first derivative of g**4/5 - 28*g**3/15 - 2*g**2/5 + 28*g/5 + 258. Determine b so that a(b) = 0.
-1, 1, 7
Let z(y) be the first derivative of -y**6/40 + y**5/20 + y**4 - 6*y**3 - 3*y**2/2 - 12*y - 40. Let b(x) be the second derivative of z(x). Factor b(g).
-3*(g - 2)**2*(g + 3)
Let i be 0 + (-3)/(-3) + 9 + -7. Suppose -2*t + i = -1. Factor 29*d**t - 13*d**2 + 2*d**3 + 2*d**3.
4*d**2*(d + 4)
Let r(v) be the second derivative of v**4/6 + 5*v**3/6 - 25*v**2/2 + 302*v. Let i be r(-5). Factor -8/19*x**2 - 10/19*x**4 - 2/19*x**5 + i - 16/19*x**3 + 0*x.
-2*x**2*(x + 1)*(x + 2)**2/19
Let g(o) be the second derivative of -o**7/42 + o**6/6 - o**5/3 - 15*o**2 - 88*o. Let i(u) be the first derivative of g(u). Factor i(s).
-5*s**2*(s - 2)**2
Let k = 8379 + 5323. Suppose -13682*a**3 - 11*a + k*a**3 + 6*a**4 - 54*a**2 + 0*a**4 - 9*a = 0. Calculate a.
-5, -1/3, 0, 2
Let i(a) be the second derivative of -a**4/24 - 146*a**3/3 - 583*a**2/4 - 2411*a. Let i(v) = 0. Calculate v.
-583, -1
Suppose 0 = p + 3, -2*p - 91987 = -2*x + 102419. Factor -5514 - x*d - 25374*d**5 - 6475*d**4 - 9066 + 55775*d**3 - 145125*d**2 + 25619*d**5.
5*(d - 9)**3*(7*d + 2)**2
Let s(j) = 2*j**4 + 684*j**3 - 155952*j**2 + 11852349*j + 12. Let p(v) = -v**4 + v - 4. Let b(t) = 3*p(t) + s(t). Factor b(f).
-f*(f - 228)**3
Let p(d) be the first derivative of 4/3*d**3 - 14 + 0*d - 1/4*d**4 + 6*d**2. Factor p(n).
-n*(n - 6)*(n + 2)
Let b(z) be the first derivative of -49*z**6/2 - 4473*z**5/5 - 3468*z**4 - 2280*z**3 + 3864*z**2 - 1296*z - 3529. Let b(a) = 0. Calculate a.
-27, -2, 2/7
Let u(d) = -d**3 + 16*d**2 + 128*d - 2141. Let q be u(15). Suppose 5*z - w = 20, -z - 4*z + 35 = -4*w. Factor -6 + 4 + 3*m - q*m**z + m - 8*m**4 + 10*m**4.
2*(m - 1)**3*(m + 1)
Suppose 0 = -39*w + 38*w + 2. Find z, given that 2*z**4 + 22*z**w + 4*z**3 - 6*z**5 - 12*z**4 - 22*z**2 = 0.
-2, 0, 1/3
Let i(b) be the first derivative of b**6/24 + b**5/20 - 5*b**4/16 - 5*b**3/12 + b**2/2 + b + 405. Let i(w) = 0. Calculate w.
-2, -1, 1, 2
Let m(d) be the first derivative of -d**4/12 - 2*d**3 - 89*d**2/6 - 24*d + 1140. Suppose m(b) = 0. What is b?
-9, -8, -1
Let 6/5*s**4 - 116/5*s**2 - 62/5*s**3 + 0 - 48/5*s = 0. Calculate s.
-1, -2/3, 0, 12
Let r = -3707 - -22243/6. Let k(v) be the first derivative of 1/2*v**2 + 2 - 1/2*v - r*v**3. Factor k(g).
-(g - 1)**2/2
Let r be (-5 - (-9 + 5))/((-1)/3). Suppose -r - 3 = -3*t. Factor c**2 - t*c + c - c.
c*(c - 2)
Find t such that -120/7 - 52/7*t**3 + 2/7*t**4 - 296/7*t - 230/7*t**2 = 0.
-2, -1, 30
Let f be (15/54 - 4/(-18))*-2. Let z(s) = -2*s**3 + s**2 + 3*s + 2. Let d be z(f). Solve -97*m**2 + 12 + 161*m**2 + 4*m**3 - 4*m - 76*m**d = 0 for m.
-1, 1, 3
Let g(k) be the second derivative of 5*k**7/168 - 2*k**6/3 + 25*k**5/8 - 25*k**4/12 - 85*k**3/8 + 45*k**2/2 - 314*k + 2. Let g(z) = 0. What is z?
-1, 1, 3, 12
Suppose -9*p + 12 = -6. Suppose -25 = p*a - 7*a. What is r in 3*r**4 - 4*r**3 + 9/2*r - 1/2*r**a - 2 - r**2 = 0?
-1, 1, 4
Let y(a) be the second derivative of a**6/135 - 8*a**5/15 - 34*a**4/9 - 208*a**3/27 + 1670*a. Solve y(x) = 0.
-2, 0, 52
Let z = -31351/12 - -2613. Let n(k) be the second derivative of -z*k**4 + 0*k**3 + 0 - 13*k + 0*k**2. Factor n(s).
-5*s**2
Let q(a) be the second derivative of 0*a**2 + 2 - 1/2*a**4 + 18*a - 9/40*a**5 - 1/4*a**3. Determine k, given that q(k) = 0.
-1, -1/3, 0
Let b be (55/((-8800)/(-64)))/(30/375). Factor 4/3*g**4 - 4/3*g**3 - 88/9*g**2 - 4 + 2/9*g**b - 34/3*g.
2*(g - 3)*(g + 1)**3*(g + 6)/9
Let n(b) = 3*b - 12. Let u be n(5). Suppose u*a - 9 = 3, -4*a = -5*g - 6. Determine f so that 10*f**2 + g*f**5 + 5*f + 0*f**5 - 7*f**5 + 0*f**5 - 10*f**4 = 0.
-1, 0, 1
Let l = 8999/54066 - -2/9011. Let p(j) be the third derivative of 0*j + l*j**3 - 1/16*j**4 + 1/120*j**5 + 0 + 16*j**2. Let p(x) = 0. What is x?
1, 2
Let b be 640/48*(0 + -1). Let c = 41/3 + b. Factor c*d**2 + 0 + 2/3*d.
d*(d + 2)/3
Let b = -1586682681 - -16465006196915/10377. Let q = b + -4/1153. What is j in 40/9*j + q*j**3 - 46/9*j**2 - 8/9 = 0?
2/7, 1, 2
Let v(h) be the third derivative of -2*h**7/735 + h**6/35 - 4*h**5/105 - h**4/7 + 10*h**3/21 + 523*h**2 - 2*h. What is q in v(q) = 0?
-1, 1, 5
Let m be ((-8721)/(-150))/17 - (-356)/4450. Let -5/2*f**2 - 1/2*f**4 + 7/2*f**3 + 3 - m*f = 0. What is f?
-1, 1, 6
Let f(d) be the second derivative of 1/2*d**3 - 3/100*d**5 + 9/5*d**2 - 28*d + 0 - 1/10*d**4. Factor f(k).
-3*(k - 2)*(k + 1)*(k + 3)/5
Let p(l) be the second derivative of l**5/80 + 7*l**4/24 + 35*l**3/24 + 11*l**2/4 - 876*l. Solve p(j) = 0.
-11, -2, -1
Let u = -2449 - -611. Let w = -9186/5 - u. Factor -2/3*v + 2/15*v**3 - w + 4/15*v**2.
2*(v - 2)*(v + 1)*(v + 3)/15
Factor 3*r**3 - 1 + 921293*r**2 + 3 - 2 - 923255*r**2 + 1959*r.
3*r*(r - 653)*(r - 1)
Let x = -4228 - -4228. Let l(g) be the second derivative of 2/5*g**2 - 1/75*g**6 - 1/30*g**4 + g + x - 1/5*g**3 + 3/50*g**5. Determine z so that l(z) = 0.
-1, 1, 2
Let b(m) be the third derivative of m**6/10 +