4*(y - 2)**3*(y + 5)
Factor 15*x**2 + 25*x - 7*x**2 + 5*x**3 + 10*x**2 - 250 + 22*x**2.
5*(x - 2)*(x + 5)**2
Factor 8*j**4 + 52*j**2 - 32*j - j**3 - 6*j**4 - 12*j**2 - 15*j**3.
2*j*(j - 4)*(j - 2)**2
Suppose 4*j = 3*z - 7*z, -5*z = 4*j. Suppose -42*x = -39*x - 6. Factor -a + 2*a**x - 5*a**2 + j*a**2 + 2.
-(a + 1)*(3*a - 2)
Let o(v) = -80*v**3 - 190*v**2 + 190*v + 135. Let y(i) = 3*i**3 + 7*i**2 - 7*i - 5. Let f be ((-15)/21 - -1) + 60/35. Let b(w) = f*o(w) + 55*y(w). Factor b(q).
5*(q - 1)*(q + 1)**2
Let g(m) be the second derivative of -m**8/1344 - m**7/504 + 10*m**4/3 - 8*m. Let l(x) be the third derivative of g(x). Factor l(d).
-5*d**2*(d + 1)
Let z(f) be the second derivative of -f**4/78 + 8*f**3/39 - 7*f**2/13 - 451*f. Find a, given that z(a) = 0.
1, 7
Let x = -10 - 30. Let j be ((-1)/2)/(4/x). What is m in -2*m**2 - 2*m**4 - m**2 + j*m**2 + 2*m**3 - 2*m**5 = 0?
-1, 0, 1
Let w(c) be the third derivative of c**5/120 - 5*c**4/24 - 136*c**2. Solve w(v) = 0.
0, 10
Let c = 59 - 56. Let k be 82/(-6) + (-1)/3. Let n(y) = -54*y**2 + 6*y. Let w(l) = -11*l**2 + l. Let o(b) = c*n(b) + k*w(b). Factor o(i).
-4*i*(2*i - 1)
Let p(g) = 2*g**2 + 3*g**2 + 6 + 9*g + 0*g**2 - 8*g**2. Let m(f) = -3*f**2 + 9*f + 7. Let s(d) = -6*m(d) + 5*p(d). Factor s(l).
3*(l - 4)*(l + 1)
Let m(r) be the first derivative of -7*r**4/2 + 10*r**3/3 + 44*r**2 + 24*r - 409. Factor m(g).
-2*(g - 3)*(g + 2)*(7*g + 2)
Suppose -4*k + 2 = 5*f - 20, 3*f - 5*k - 28 = 0. Let b(w) be the third derivative of 5*w**2 + 0 - 1/420*w**f - 1/210*w**5 + 0*w**4 + 0*w**3 + 0*w. Factor b(r).
-2*r**2*(r + 1)/7
Let s be (-25)/3 + (-6)/9. Let p be (-48)/s + (-3)/9. Let 4*u**4 - p*u**2 + 8*u**3 - 5*u - 3*u**5 + u**2 - 3*u**5 + 3*u = 0. Calculate u.
-1, -1/3, 0, 1
Let m be 24/10 - (-24)/(-60). Let n(r) be the first derivative of -3/25*r**5 - 3/20*r**4 + 0*r**2 + 0*r + 2/5*r**3 - m. Factor n(l).
-3*l**2*(l - 1)*(l + 2)/5
Suppose 16 - 14/5*m**5 + 296/5*m - 242/5*m**3 - 116/5*m**4 - 4/5*m**2 = 0. What is m?
-5, -2, -2/7, 1
Suppose 4*m + 0*m - 372 = -4*o, 4*o + 2*m - 370 = 0. Factor -o - 8*p + 156 - 8*p + p**2.
(p - 8)**2
Let v be (1786/(-57) + 33)/((-5)/(-4)). Find s such that -10/9*s + 4/3 - v*s**2 = 0.
-3/2, 2/3
Let l be (380/(-50) + 8)*1. Determine u, given that 1/5*u**3 + l*u**2 + 0*u + 0 = 0.
-2, 0
Suppose -26 = 4*q + 6. Let j be 2/q*2*-2*2. Factor -27/4*c**4 + 0 - 39/4*c**j + 18*c**3 + 3/2*c.
-3*c*(c - 2)*(3*c - 1)**2/4
Let y = -42 + 122. Let o = y + -399/5. Determine j so that -o*j - 1/5*j**2 + 1/5*j**3 + 1/5 = 0.
-1, 1
Let g(d) be the second derivative of -2/5*d**2 - 11*d + 0 + 8/5*d**3 - 11/4*d**4 + 121/100*d**5. Factor g(a).
(a - 1)*(11*a - 2)**2/5
Let l(s) be the second derivative of -s**4/12 - 13*s**3/6 - 11*s**2 + 2*s + 4. Solve l(z) = 0 for z.
-11, -2
Let u(d) be the third derivative of -d**4/24 - d**3/3 - 18*d**2. Let h be u(-4). Solve -2/7*i - 10/7*i**h - 6/7*i**3 + 2/7 = 0.
-1, 1/3
Factor 32*l**4 + 0*l**5 - 1296 - 2*l**5 - 73*l**3 - 5*l**3 + 1512*l - 60*l**3 - 108*l**2.
-2*(l - 6)**3*(l - 1)*(l + 3)
Suppose 0 = -n + 4*u + 16, u = -5*n + 3*u + 8. Let j(v) be the first derivative of n*v + 3 - 1/6*v**2 - 2/9*v**3 - 1/12*v**4. Factor j(z).
-z*(z + 1)**2/3
Let x(g) = -g - 1. Let i = 67 + -66. Let m(c) = c**2 + 32*c + 287. Let f(u) = i*m(u) - 2*x(u). Factor f(d).
(d + 17)**2
Let g be (-12)/(-2) + ((6 - 7)*7 - -4). Find i such that 3/4*i**g + 0*i + 0 - 3/4*i**4 + 3/2*i**2 = 0.
-1, 0, 2
Let r(y) = 4*y - 20. Let u(h) = 3*h - 20. Let z(p) = -5*r(p) + 6*u(p). Let l be z(-12). Factor 0*q + 0*q**2 + 0 + 4/3*q**3 + 4/3*q**l.
4*q**3*(q + 1)/3
Let j(q) be the first derivative of -4*q**5/5 - 48*q**4 + 1028*q**3/3 - 840*q**2 + 848*q + 299. Let j(h) = 0. What is h?
-53, 1, 2
What is b in -1/9*b**2 - 8/9 - b = 0?
-8, -1
Let v be 0*(85/(-714) - 4/(-14)). Find q, given that -2/7*q**5 + 0*q**2 - 8/7*q**4 + v*q + 0 - 8/7*q**3 = 0.
-2, 0
Let i(v) be the first derivative of v**5/25 - v**3/5 + v**2/5 - 333. Factor i(p).
p*(p - 1)**2*(p + 2)/5
Suppose -2*u - 5*l + 29 + 0 = 0, -4*l = 2*u - 24. Determine a so that -3/4*a**u + 3/4 + 0*a = 0.
-1, 1
Let g = 119 + -116. Factor -125 - q**3 + 45*q**2 + q**g + 7*q**3 + 75*q - 2*q**3.
5*(q - 1)*(q + 5)**2
Let v(a) be the second derivative of -a**6/240 + a**4/16 - a**3/6 + 19*a**2/2 + 16*a. Let b(c) be the first derivative of v(c). Factor b(s).
-(s - 1)**2*(s + 2)/2
Factor 26*g**2 + 11 + 16*g - 6*g**3 - 3 + 8 + 2*g**3 - 30*g**2.
-4*(g - 2)*(g + 1)*(g + 2)
Factor -28*h + 1372 + 1/7*h**2.
(h - 98)**2/7
Solve 5/4*s**3 - 15/4 - 61/4*s + 71/4*s**2 = 0.
-15, -1/5, 1
Let u(c) be the third derivative of 0 - 22/15*c**5 - 2/15*c**7 + 0*c - 1/84*c**8 - 9*c**2 - 13/6*c**4 - 3/5*c**6 - 2*c**3. Determine m so that u(m) = 0.
-3, -1
Let z be (-72)/(-15) - 9/(-45). Let p(a) be the second derivative of 3/4*a**4 + 3/5*a**z - 3/2*a**2 + 0 - a**3 - 2/5*a**6 - a. Factor p(q).
-3*(q - 1)**2*(2*q + 1)**2
Let o(k) be the third derivative of k**5/150 + 19*k**4/60 - 4*k**3/3 - 237*k**2. Suppose o(m) = 0. Calculate m.
-20, 1
Factor -7*f - 5*f**3 + 2*f**4 - 2*f**4 - 2 - 9*f**2 - 5*f**4 + 4*f**4.
-(f + 1)**3*(f + 2)
Factor 4*p**3 - 69 - 3*p**3 - 45*p + 37 - 18*p - 30*p**2.
(p - 32)*(p + 1)**2
Determine f so that 256/9 - 92/9*f**2 - 10/3*f**3 - 2/9*f**4 + 64/3*f = 0.
-8, -1, 2
Let q(d) be the first derivative of d**3/4 - 405*d**2/8 + 201*d/2 - 477. Find b such that q(b) = 0.
1, 134
Let b be 3/9 - (-3)/(-9). Suppose g - 20 = -5*o, b*g - 16 = -4*o - 2*g. What is h in 5*h**4 + h**4 - 2*h**3 - 144*h + o + 146*h - 10*h**2 = 0?
-1, -2/3, 1
Let x(a) = 3*a**3 - 2*a**2 - 5*a + 2. Let l = -4 - -6. Let s(j) = 12*j**3 - 9*j**2 - 21*j + 9. Let o(i) = l*s(i) - 9*x(i). Factor o(v).
-3*v*(v - 1)*(v + 1)
Solve 0*x + 0 - 8/3*x**2 + 4/3*x**4 - 4/3*x**3 = 0.
-1, 0, 2
Let x(c) = c**4 - 3*c**3 - c. Let s(f) = 9*f**4 - 26*f**3 - 12*f**2 + 10*f + 27. Let p(t) = 3*s(t) - 24*x(t). Factor p(h).
3*(h - 3)**2*(h + 1)*(h + 3)
Let b(n) be the third derivative of -n**5/120 + 11*n**4/24 - 10*n**3/3 - 13*n**2 - 7. What is q in b(q) = 0?
2, 20
Determine r so that -38*r**2 + 49*r**2 + 120*r - 16*r**2 = 0.
0, 24
Let c be 5/((1/(-3))/(-1)) - 3. Suppose -c*o = 4*o - o. Find u such that 0*u - 2/11*u**4 - 4/11*u**3 + 0 + o*u**2 = 0.
-2, 0
Let o be (7 - 5)/((-66)/(-99)). Solve -32/5 - 28/5*n**2 + 56/5*n + 4/5*n**o = 0 for n.
1, 2, 4
Factor -996/5*f - 3/5*f**2 - 82668/5.
-3*(f + 166)**2/5
Let t(y) be the third derivative of 1/20*y**5 + 0 + 0*y - 1/2*y**3 + 1/16*y**4 - 1/80*y**6 + 14*y**2. Let t(h) = 0. What is h?
-1, 1, 2
Let y be 0*-3*(-4)/12. Factor 4*x**5 + 6*x**4 + y*x**3 + 4*x**5 - 11*x**5 - 3*x**3.
-3*x**3*(x - 1)**2
Let s(f) be the third derivative of -f**4/12 + 9*f**3/2 + 31*f**2 - f. Let o be s(13). Determine i, given that -1/3*i**2 - o + 4/3*i = 0.
1, 3
Let a(n) be the second derivative of 0 + 1/75*n**6 + 1/15*n**3 - 7*n - 1/50*n**5 - 1/30*n**4 + 0*n**2. Find x such that a(x) = 0.
-1, 0, 1
Let c(q) be the second derivative of -q**4/24 - 9*q**3/2 - 729*q**2/4 + 10*q + 1. Find w, given that c(w) = 0.
-27
Factor -38 + 229*k - 36 - 51*k**2 - 118 + 2*k**3 + 11*k + k**3.
3*(k - 8)**2*(k - 1)
Let x be (3/(-2))/(4/(-24)). Let b = x - 4. Factor 0*k**2 - 2*k**3 - 8*k - 3*k**2 - b*k**2.
-2*k*(k + 2)**2
Let q(u) be the third derivative of u**6/90 - u**4/18 - 287*u**2. What is y in q(y) = 0?
-1, 0, 1
Let z be 9/((-54)/(-10))*(-18)/(-105). Factor 0 - 4/7*t**3 + 4/7*t - z*t**2 + 2/7*t**4.
2*t*(t - 2)*(t - 1)*(t + 1)/7
Let y(x) = -2*x**5 - 14*x**4 - 2*x**3 - 2. Suppose 8*t - t = -14. Let r(i) = -3*i**5 - 29*i**4 - 5*i**3 - 5. Let k(w) = t*r(w) + 5*y(w). Factor k(h).
-4*h**4*(h + 3)
Factor 8*t - 78/5*t**2 + 2/5*t**4 + 0 + 36/5*t**3.
2*t*(t - 1)**2*(t + 20)/5
Let -2/7*f**3 + 6/7 - 6/7*f**2 + 2/7*f = 0. What is f?
-3, -1, 1
Let k(d) be the first derivative of -3*d**4/4 - 25*d**3 - 429*d**2/2 + 507*d + 149. Suppose k(c) = 0. What is c?
-13, 1
Suppose 10*k + 35 = 17*k. Suppose -7*u - k*c = -4*u + 5, -2*u - 1 = c. Solve u - 6/5*q**2 + 8/5*q**3 + 0*q = 0.
0, 3/4
Factor -10*z**3 + 3*z**5 - 2*z**4 - 3*z**5 - 6*z**2 + 2*z**5.
2*z**2*(z - 3)*(z + 1)**2
Let c(b) = -b**3 + 2*b**2 + 2*b + 81. Let p be c(0). Let y be (2 + (-174)/p)*-3. Factor 2/9*z**2 + 0 + y*z**4 + 2/3*z**3 + 0*z.
2*z**2*(z + 1)*(2*z + 1)/9
Factor 3/2*m**2 + 3/4*m + 3/4*m**3 + 0.
3*m*(m + 1)**2/4
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