 c such that 175*c**4 - 437/4*c**2 - 9/2 + 20*c**3 + 165/4*c = 0.
-1, 2/7, 3/10
Suppose 0 = 5*g - 2*j - 19, g + 3*j + 21 - 18 = 0. Factor 2*k + 13/2*k**2 + 3/2*k**g + 0.
k*(k + 4)*(3*k + 1)/2
What is o in 5*o**3 - 258*o**4 - 5*o**2 - 5*o**5 + 522*o**4 - 259*o**4 = 0?
-1, 0, 1
Let a(l) be the second derivative of l**4/3 - 2*l**3 - 56*l**2 - l - 19. Factor a(z).
4*(z - 7)*(z + 4)
Let w(m) be the first derivative of -m**6/180 - m**5/15 - m**4/3 - 8*m**3/3 - 20. Let c(v) be the third derivative of w(v). Factor c(j).
-2*(j + 2)**2
Let s(j) = -j**3 - 274*j**2 + 4191*j - 7290. Let d(a) = -3*a**3 - 1097*a**2 + 16763*a - 29160. Let v(n) = -6*d(n) + 23*s(n). Factor v(i).
-5*(i - 27)**2*(i - 2)
Let w(m) be the third derivative of -m**5/12 + 65*m**4/24 + m**2 - 34. Factor w(n).
-5*n*(n - 13)
Factor k - k**3 + 1/7*k**4 - 1/7*k**2 + 0.
k*(k - 7)*(k - 1)*(k + 1)/7
Let l(n) = 5*n**3 - 17*n**2 + 3. Let i(c) = -5*c**3 + 16*c**2 - 4. Let v(k) = 3*i(k) + 4*l(k). Determine u, given that v(u) = 0.
0, 4
Let k be -6 - (-2)/((-576)/(-1209) - (-8)/(-52)). Suppose 0 + 1/5*x**2 + k*x**4 + 0*x + 2/5*x**3 = 0. Calculate x.
-1, 0
Let w(a) = -52*a + 260. Let t be w(5). Let p(z) be the first derivative of t*z - 1/18*z**4 + 0*z**3 + 3 + 1/9*z**2. Factor p(m).
-2*m*(m - 1)*(m + 1)/9
Let n(g) be the first derivative of g**4/16 + 7*g**3/4 + 15*g**2 + 25*g + 20. Factor n(i).
(i + 1)*(i + 10)**2/4
Suppose -6*m = 3*m - 27. Find g such that -3*g**2 - 4*g - 10 - 11*g + g**2 - m*g**2 = 0.
-2, -1
Suppose -13 = -3*c + h, 5*h + 6 = 1. Factor -6*w + 8*w - 4 + 3*w - c*w**3 - w + 4*w**2.
-4*(w - 1)**2*(w + 1)
Let x = -1495/12 + 125. Let g = x - -1/4. Factor 4*u**2 + 6*u + g*u**3 + 0.
2*u*(u + 3)**2/3
Let r(g) be the first derivative of 2*g**3/51 - 8*g**2/17 + 24*g/17 + 61. Factor r(c).
2*(c - 6)*(c - 2)/17
Let c = 3253793012/177871617 - 1/1796683. Let i = c + -189/11. Factor 2/9 - 4/9*x**3 + i*x**2 - 8/9*x.
-2*(x - 1)**2*(2*x - 1)/9
Suppose 0 = -i + 7 + 4. Factor 2*b**5 + 12*b**3 + i*b**3 + 3*b + b**5 - 29*b**3.
3*b*(b - 1)**2*(b + 1)**2
Let a be 8 + (-581)/(-14) - (4 + -1). Let t = 47 - a. Determine q so that q**4 + t*q - q**3 + 1/2*q**5 + 1 - 2*q**2 = 0.
-2, -1, 1
Let f(j) be the first derivative of -j**4/3 + 8*j**3 - 154*j**2/3 - 222. Suppose f(m) = 0. What is m?
0, 7, 11
Let a = 65 - 64. Let o be (a/(-2))/((-1)/(16/4)). Find p such that 10/11*p**o + 2/11*p + 8/11*p**3 + 0 = 0.
-1, -1/4, 0
Let c(x) be the third derivative of -1/84*x**8 + 2/105*x**7 + 0 + 0*x + 1/30*x**6 - 1/15*x**5 + 0*x**3 + 0*x**4 + 2*x**2. Solve c(u) = 0 for u.
-1, 0, 1
Let -15/2*x + 11/8*x**2 - 1/8*x**4 + 3/4*x**3 - 25/2 = 0. Calculate x.
-2, 5
Let v(i) = i**3 - 11*i**2 - 13*i + 17. Let j be v(12). Suppose -j*p + o = -11, -2*o + 6 = 3*p + p. Factor -3*d**3 + d**p - 2 - 4*d**2 + 6*d + 2.
-3*d*(d - 1)*(d + 2)
Let s be (-860)/2200 - 2/10. Let r = 12/11 + s. Factor -1/2*u**4 + r*u - 1/3*u**3 + 1/6 - 1/6*u**5 + 1/3*u**2.
-(u - 1)*(u + 1)**4/6
Determine g so that 3*g**2 - 1327 + 1327 - 3*g = 0.
0, 1
Factor 7*t**2 - 17*t**3 - 7*t - 27*t**2 - 17*t + 13*t**3.
-4*t*(t + 2)*(t + 3)
Let v be 6/(-9) + 3/((-36)/(-32)). Suppose -6*m = v*m - 16. Factor 0 + 0*l**m + 0*l - 2/9*l**5 - 2/9*l**3 - 4/9*l**4.
-2*l**3*(l + 1)**2/9
Let r = 8161/2 + -3871. Let q = 211 - r. Find o such that 0*o + 0 - q*o**2 = 0.
0
Let r(p) be the second derivative of 0 + 5*p + 1/12*p**4 + 1/42*p**5 + 1/7*p**3 + 1/420*p**6 - 1/2*p**2. Let c(s) be the first derivative of r(s). Factor c(b).
2*(b + 1)**2*(b + 3)/7
Solve -4/3*x**4 - 2*x**2 + 1/3*x**5 + 0*x + 0 - 11/3*x**3 = 0.
-1, 0, 6
Let v(a) be the first derivative of 2*a**5/35 - 2*a**4/7 - 26*a**3/21 + 40*a**2/7 + 96*a/7 + 14. Factor v(b).
2*(b - 4)**2*(b + 1)*(b + 3)/7
Let a(s) be the second derivative of s**5/30 - 10*s**4/9 + 13*s**3 - 54*s**2 + 35*s. Factor a(h).
2*(h - 9)**2*(h - 2)/3
Let p(m) = -2*m**2 + 16*m - 9. Let q(l) = -3*l**2 + 17*l - 10. Let i(n) = -4*p(n) + 3*q(n). Let a be i(-13). Factor -a*f**2 + 10 - 26 + 7 + 2*f**3 + 7 + 6*f.
2*(f - 1)**3
Let v(g) be the second derivative of 25*g**5/8 + 75*g**4/4 + 45*g**3 + 54*g**2 + 8*g + 4. Determine a, given that v(a) = 0.
-6/5
Let t be -1*(2 + 7/(21/(-6))). Let y(q) be the third derivative of 3*q**2 - 1/108*q**4 + 0 + 0*q**3 + 1/270*q**5 + t*q. Factor y(o).
2*o*(o - 1)/9
Let v(i) be the third derivative of 0*i - 18*i**2 + 1/168*i**8 + 1/60*i**6 + 0*i**5 + 0*i**3 + 0*i**4 - 2/105*i**7 + 0. Factor v(u).
2*u**3*(u - 1)**2
Let v(a) be the third derivative of -a**6/120 - 3*a**5/20 + 7*a**4/8 - 23*a**3/6 - a**2. Let z(d) be the first derivative of v(d). Factor z(p).
-3*(p - 1)*(p + 7)
Let b be ((-1170)/(-1365))/((-18)/(-98)). Factor 8 + 10/3*z**2 - 88/3*z + b*z**3.
2*(z - 2)*(z + 3)*(7*z - 2)/3
Let s = 1/538 - -7122/3497. Let l = -7/13 + s. Factor z**4 + 1/2*z - l*z**3 + 0 + 0*z**2.
z*(z - 1)**2*(2*z + 1)/2
Let k(f) = 4*f**2 + 29*f + 9. Let b(d) = -7*d**2 - 58*d - 15. Let m(r) = -3*b(r) - 5*k(r). Factor m(s).
s*(s + 29)
Factor 12/5 - 54/5*z**2 + 9/5*z + 33/5*z**3.
3*(z - 1)**2*(11*z + 4)/5
Let 9*z**2 - 3/2*z**3 + 45/2*z + 12 = 0. Calculate z.
-1, 8
Let r(j) = j**3 + 8*j**2 + 6*j - 5. Let t be r(-7). Let 4*l**t - 27 + 53 - 16*l - 10 = 0. What is l?
2
Let y be (-1)/(-2)*-6 - (10 - 7). Let g(z) = -z**2 + 5*z**2 + 15*z**2 + z. Let p(f) = 9*f**2. Let h(v) = y*g(v) + 13*p(v). Factor h(n).
3*n*(n - 2)
Let v = 10 - 3. Let y be -9*(51/(-27)*3 - -5). Find g, given that 3*g**3 - y + 3*g**4 + 2*g**2 - 15*g - 4*g**2 - v*g**2 = 0.
-1, 2
Let s = -15 - -23. Factor 4*v**2 - 20*v + 1 + s*v**3 + 8 - 1.
4*(v - 1)*(v + 2)*(2*v - 1)
Let n(j) = j**2 + 2*j + 1. Suppose 6*m - 2 = 8*m. Let q be n(m). Let -3/2*c + 3/2*c**2 + q = 0. What is c?
0, 1
Let a(q) = 8*q**2 + 3*q - 6. Let p(r) be the first derivative of r**3/3 - 16. Let u(v) = a(v) - 5*p(v). Factor u(f).
3*(f - 1)*(f + 2)
Suppose -2*q = -3*q - 5, 50 = 5*b - 5*q. Suppose -u - b*l = 22, -4*u - 5*l + 6 = 19. Find w such that -u*w**2 + 5*w**2 - 5*w**3 + 2*w**3 - 3*w**4 + 4*w**2 = 0.
-2, 0, 1
Let i(m) = -27*m**4 - 99*m**3 - 69*m**2 + 93*m + 93. Let h(r) = -r**2 - r - 1. Let q(v) = 3*h(v) - i(v). Find g such that q(g) = 0.
-2, -4/3, 1
Let p(q) = q**5 - q**4 + q**2 + q + 1. Let m(a) = -6*a**5 + 6*a**4 - 10*a**3 + 2*a**2 - 16. Let t(b) = -m(b) - 8*p(b). Let t(u) = 0. What is u?
-2, -1, 1, 2
Let y = 90095/3636 - -143/101. Let g = y - 103/4. Factor -g + 2/9*q**2 - 2/9*q.
2*(q - 2)*(q + 1)/9
Let t = 23 + -21. Let c be (-1 + 10)*2/6. Determine g, given that -2*g**t + 0*g**3 - 2 - g**3 + c*g**3 - 2*g + 4 = 0.
-1, 1
Factor 3*x - x**2 - 19*x**2 - 5*x**3 + 22*x.
-5*x*(x - 1)*(x + 5)
Let b(q) be the first derivative of q**5/540 - 7*q**4/108 + 41*q**2/2 + 37. Let k(t) be the second derivative of b(t). Factor k(m).
m*(m - 14)/9
Let r(v) be the second derivative of v**5/80 - v**4/8 - 3*v**3/8 + 7*v**2/4 + 14*v + 1. Find k, given that r(k) = 0.
-2, 1, 7
What is l in -17*l + 1/2*l**2 - 35/2 = 0?
-1, 35
Let u(w) be the second derivative of -3/4*w**3 + 1/48*w**4 + 81/8*w**2 + 12*w + 0. Factor u(l).
(l - 9)**2/4
Let d(q) = q**2 - 32*q + 226. Let p(f) = 2*f - 1. Let t(y) = -d(y) - p(y). Factor t(s).
-(s - 15)**2
Let b = 2242 + -6662/3. Suppose -1/3*t**3 - b - 16*t - 4*t**2 = 0. Calculate t.
-4
Let i = 94 + -281/3. Let h = -1/6 + 1/2. Factor 0 - 2/3*m**2 + h*m + i*m**3.
m*(m - 1)**2/3
Let b(k) = -12*k**3 + 1800*k**2 - 90016*k + 1499992. Let j(l) = 8*l**3 - 1200*l**2 + 60010*l - 999995. Let c(z) = -5*b(z) - 8*j(z). Factor c(h).
-4*(h - 50)**3
Let t = 145 + -97. Let j be t/(-9) + 1/3. Let y(v) = -3*v**3 + 6*v**2 - 6*v - 15. Let p(x) = 2*x**3 - 3*x**2 + 3*x + 8. Let o(w) = j*y(w) - 9*p(w). Factor o(q).
-3*(q - 1)*(q + 1)**2
Find k, given that 0 - 8624/5*k**2 + 2184/5*k**3 - 10976/5*k + 4/5*k**5 - 164/5*k**4 = 0.
-1, 0, 14
Suppose 12 = 3*j - 3*o, 0*j + 32 = 5*j - o. Suppose 17 - 3 = j*z. Solve -2/3 - 10/3*d - 8/3*d**z = 0 for d.
-1, -1/4
Let n(y) be the second derivative of 0*y**3 - 4*y - 1/10*y**6 - 1/4*y**4 + 0 + 3/10*y**5 + 0*y**2. Factor n(x).
-3*x**2*(x - 1)**2
Let z(y) be the third derivative of -y**6/40 + 11*y**5/80 + 3*y**4/32 - 159*y**2. Find x, given that z(x) = 0.
-1/4, 0, 3
Let o be -10 - (-1450)/80 - 8. Let x(n) be the second derivative of -o*n**4 + 3*n + 0 + 1/2*n**2 - 1/12*n**3. Factor x(z).
-(z + 1)*(3*z - 2)/2
Let y = 10 - 8. Let d(z) be t