0, 4/9, 1
Suppose -5*n = 1 - 26. Suppose 0 = -9*g + 4*g + 10. Factor n*r + 5*r**g - r - 2*r**2 - r**2.
2*r*(r + 2)
Let g(f) be the second derivative of 3*f**5/140 + 9*f**4/28 + 27*f**3/14 + 81*f**2/14 - 2*f + 51. Factor g(n).
3*(n + 3)**3/7
Factor -310*i - 154*i + 216*i**2 - 2*i**4 + 243 - 17*i**3 - 11*i**3 + 77.
-2*(i - 2)**3*(i + 20)
Let g be (-9)/((-36)/(-14)) - -5. Factor g*y**5 - y + 3/2*y**3 + 7/2*y**4 - 3/2*y**2 + 0.
y*(y + 1)**3*(3*y - 2)/2
Let o = -24161 - -72484/3. Let 0 + 1/6*i**5 + 1/3*i**4 - 1/6*i**3 - o*i**2 + 0*i = 0. What is i?
-2, -1, 0, 1
Let h = 38/353 + 136/5295. Factor -2/15 - 4/15*t - h*t**2.
-2*(t + 1)**2/15
Let u be 1 - (-8 - -4)/4. Let t(b) be the third derivative of 0*b + 0 - 2/105*b**5 - 1/21*b**3 + 5/84*b**4 + 5*b**u. Let t(q) = 0. What is q?
1/4, 1
Let d(a) be the third derivative of 19*a**8/42 - 2*a**7/105 - 425*a**2. Factor d(m).
4*m**4*(38*m - 1)
Let 1225 + 5*d - 1210 - 3*d**2 + 7*d = 0. What is d?
-1, 5
Let l(m) = -2*m**2 - 29*m - 10. Let u be (140/(-16))/(-5)*(-9 + 1). Let p be l(u). Factor -1/4 + 0*o**2 - 1/2*o + 1/4*o**p + 1/2*o**3.
(o - 1)*(o + 1)**3/4
Suppose -80/7*f**3 - 40/7 - 8/7*f**2 + 48/7*f**4 + 12*f - 4/7*f**5 = 0. Calculate f.
-1, 1, 10
Factor 16/9*d - 14/9 - 2/9*d**2.
-2*(d - 7)*(d - 1)/9
Let s(f) be the third derivative of -f**8/84 - 5*f**7/21 - 6*f**6/5 - 43*f**5/15 - 23*f**4/6 - 3*f**3 - 60*f**2. Solve s(t) = 0.
-9, -1, -1/2
Let q be (-48)/(-84) - 3/42. Let i(x) be the first derivative of -3/4*x**4 - 2/5*x**5 + q*x**2 + 1 + 0*x + 0*x**3. Suppose i(y) = 0. Calculate y.
-1, 0, 1/2
Suppose 3*v - 200 - 109 = 4*r, 0 = 3*v + 5*r - 282. Let x be (40/v)/1 + (-2)/11. Factor 0 + 2/9*p**2 - x*p.
2*p*(p - 1)/9
Let n be 14/6 + 22/33. Let y(r) be the second derivative of -1/4*r**4 - 3/40*r**5 + 2*r - 1/4*r**n + 0*r**2 + 0. Find x such that y(x) = 0.
-1, 0
Suppose 4*s + 232 = o + 2*o, 79 = o - 3*s. Let b = -76 + o. Let -1/2*l + 1/4*l**2 + b = 0. What is l?
0, 2
Factor 195*f - 9*f**2 - 201*f + 6*f**2.
-3*f*(f + 2)
Let k = -290 - -292. Let j(l) be the second derivative of 0*l**k - 1/18*l**3 + 1/36*l**4 + 0 + 7*l. Factor j(g).
g*(g - 1)/3
Factor -427*i**3 + 44*i**4 - 40*i**2 + 597*i**3 + i**4.
5*i**2*(i + 4)*(9*i - 2)
Let c(k) be the third derivative of 0 + 0*k - 18*k**2 - 7/40*k**5 - 5/4*k**3 - 1/80*k**6 - 11/16*k**4. Find m, given that c(m) = 0.
-5, -1
Suppose 0 = x - 3*x + 138. Determine h so that -11*h - 13*h + 90*h + x*h + 27 + 225*h**2 + 125*h**3 = 0.
-3/5
Let i(u) = -3*u**2 - 29*u + 14. Let x be i(-10). Factor -2/9*t**x - 4/9*t**2 + 0 + 0*t - 2/3*t**3.
-2*t**2*(t + 1)*(t + 2)/9
Let x = 95 - 61. Let l(k) = -4*k**4 + 4*k**3 - 5*k + 5. Let b(w) = 23*w**4 - 23*w**3 - w**2 + 30*w - 29. Let r(g) = x*l(g) + 6*b(g). Factor r(y).
2*(y - 1)**3*(y + 2)
Let w(b) be the third derivative of -b**6/90 - b**5/9 - 2*b**4/9 + 3*b**2 - 4*b. Factor w(v).
-4*v*(v + 1)*(v + 4)/3
Let p(w) be the second derivative of -w**6/6 + 2*w**5 - 35*w**4/12 - w - 15. Factor p(s).
-5*s**2*(s - 7)*(s - 1)
Let n be (-357)/(-5) + 2/(-5). Let r = 106 - n. What is a in -r - 15 - 2*a**2 + 0*a**2 - 20*a = 0?
-5
Let n(p) = -3*p - 18. Let d be 21*(2 + (-28)/12). Let b be n(d). Let 2/7 + 4/7*m**b - 4/7*m**2 - 2/7*m**5 - 2/7*m + 2/7*m**4 = 0. Calculate m.
-1, 1
Factor -208/7*a**2 + 5832/7 - 4/7*a**3 - 2484/7*a.
-4*(a - 2)*(a + 27)**2/7
Let n = 104/25 - 736/225. Factor 4/9*d**3 - 10/9*d - n + 14/9*d**2.
2*(d - 1)*(d + 4)*(2*d + 1)/9
Let u(n) = -2*n**2 + 1374*n - 95235. Let i(f) = -5*f**2 + 4120*f - 285710. Let t(z) = 3*i(z) - 10*u(z). Factor t(a).
5*(a - 138)**2
Let u be (-3)/(-6 + 3 - -2). Suppose -u*p = -2*p - 7. Factor 4*x**3 + 4*x**4 + 3*x + 14*x**2 - 16*x**4 + 5 - 7 - p*x**5.
-(x - 1)*(x + 1)**3*(7*x - 2)
Let o(u) be the second derivative of -u**7/3150 + u**6/225 - u**5/50 - u**4/4 - 20*u. Let s(k) be the third derivative of o(k). Factor s(c).
-4*(c - 3)*(c - 1)/5
Let z(a) be the first derivative of 70*a**2 - 25*a**5 - 305/3*a**3 - 20*a - 4 + 145/2*a**4 + 10/3*a**6. Determine p so that z(p) = 0.
1/4, 1, 2
Let s be -1 + 10 - (3 - (-4)/2). Let h be (s/(-35))/((-2)/5). Factor -4/7*z + h*z**2 + 2/7.
2*(z - 1)**2/7
Let m(q) = 58*q**2 + 334*q. Let p(t) = -8*t**2 - 48*t. Let o(y) = -6*m(y) - 44*p(y). Factor o(u).
4*u*(u + 27)
Let i(j) be the first derivative of 153*j**4/20 + 49*j**3/5 - 3*j**2/5 + 217. Factor i(w).
3*w*(w + 1)*(51*w - 2)/5
Let k(q) be the third derivative of q**8/560 + 3*q**7/280 - q**6/240 - 3*q**5/20 + q**4/6 + 16*q**2. Let u(t) be the second derivative of k(t). Factor u(o).
3*(o + 1)*(o + 2)*(4*o - 3)
Let d(i) be the second derivative of 1/15*i**6 + 0*i**2 + 4*i + 11/6*i**4 + 0 - 5/3*i**3 - 7/10*i**5. Suppose d(y) = 0. Calculate y.
0, 1, 5
What is y in -3*y**3 + 392*y**2 - 434*y**2 + 159*y + 0*y**3 + 6*y**3 - 120 + 0*y**3 = 0?
1, 5, 8
Factor 307 + 2*b - 8*b - 311 - b**3 + 3*b**3.
2*(b - 2)*(b + 1)**2
Let v(w) = -w**2 - 4*w + 14. Let h be v(-6). Factor 6*s**4 - 11*s**4 - 20*s**4 - 20*s**h + 60*s**3.
-5*s**2*(s - 2)*(5*s - 2)
Let i(c) be the first derivative of 1/32*c**4 - 12*c + 0*c**3 + 9 + 0*c**2. Let l(s) be the first derivative of i(s). Factor l(w).
3*w**2/8
Let j(g) be the second derivative of -g**5/12 + 15*g**4/8 - 11*g**2 + 9*g + 1. Let z(f) be the first derivative of j(f). Solve z(u) = 0.
0, 9
Let w(i) = i**2 + 4*i + 1. Let l(u) = -18*u**2 + 56*u - 54. Let h(b) = -l(b) - 6*w(b). Factor h(a).
4*(a - 6)*(3*a - 2)
Suppose 0 = -22*a - 260 + 62. Let c be -2 - 2 - 2*a/4. Let -y**2 - c*y**3 + 3/4*y**4 + 1/4 + 1/2*y = 0. Calculate y.
-1, -1/3, 1
Let j(x) = x**2 - 6*x + 2. Let d be j(6). Suppose -2*t + 16 = 3*v, -d*t + 4*v - 12 = -0. Factor -5*i**2 - 7*i**t + 42*i**4 - 38*i**4 - 8*i.
4*i*(i - 2)*(i + 1)**2
Let d = -294 - -297. Let y(j) be the third derivative of 0*j + 0*j**d - 1/30*j**6 - 1/3*j**4 - 1/5*j**5 + 0 - 3*j**2. Factor y(i).
-4*i*(i + 1)*(i + 2)
Let g = 67/98 - 9/49. Determine u so that -u**2 - g*u - 1/2*u**3 + 0 = 0.
-1, 0
Let u be (1556/(-48))/((-2)/(-4)). Let a = u + 65. Suppose 1/3 - a*s**3 - 1/3*s**2 + 1/6*s = 0. What is s?
-2, -1, 1
Factor -540*y + 5218 + 4362 + 5000 + 5*y**2.
5*(y - 54)**2
Let f(s) be the second derivative of s**7/840 + s**6/72 + 7*s**5/120 + s**4/8 + s**3/6 - s. Let k(b) be the second derivative of f(b). Solve k(x) = 0 for x.
-3, -1
Let m(u) be the third derivative of -u**6/3420 + u**5/570 + 2*u**4/57 + 11*u**3/6 + u**2 + 5. Let n(w) be the first derivative of m(w). Let n(d) = 0. What is d?
-2, 4
Let b(h) be the first derivative of -h**7/1470 + h**6/210 + 2*h**5/105 - 16*h**3/3 + 13. Let r(x) be the third derivative of b(x). Factor r(k).
-4*k*(k - 4)*(k + 1)/7
Let s(r) be the third derivative of r**6/24 + r**5/2 + 55*r**4/24 + 5*r**3 + r**2 - 13. Suppose s(x) = 0. Calculate x.
-3, -2, -1
Let d(r) = -5*r - 51. Let j be d(-11). Factor -f**3 + 8*f**j + f - 23*f**5 - 5*f**3 - 32*f**5 + 52*f**5.
-f*(f - 1)**3*(3*f + 1)
Let d(b) = 3*b + 2. Let v be ((-11)/(-6) - 2) + 12/72. Let x be d(v). Solve -2/3*w - 2/3 + 2/3*w**x + 2/3*w**3 = 0 for w.
-1, 1
Determine x, given that 244*x**2 + 14526784/3 + 1/3*x**3 + 59536*x = 0.
-244
Suppose 0 = -6*p - 45 + 63. Let 8*f**5 - f**3 - 4*f**5 + 4*f**2 - p*f**4 - f**4 - 3*f**3 = 0. What is f?
-1, 0, 1
Let j(w) be the third derivative of -1/10*w**5 - 8*w**2 + 0*w + 0 - 1/40*w**6 + 3/8*w**4 + 0*w**3. Factor j(i).
-3*i*(i - 1)*(i + 3)
Let z(y) be the first derivative of 25/4*y**4 - 5*y - 25/2*y**2 - 5*y**3 + 4*y**5 - 6. Factor z(g).
5*(g - 1)*(g + 1)**2*(4*g + 1)
Let s be (-85 + -1)*5*-1 + 2. Factor 207*t**3 - 864*t - 68*t**4 + 21*t**3 - s*t**2 + 4*t**5 + 132*t**3.
4*t*(t - 6)**3*(t + 1)
Let h be -1 - ((1 - 1) + -7). Let l be ((-6)/4)/(h/(-2)). Solve -3/2*d**5 - 7/2*d**2 + l*d**3 + 7/2*d**4 + d + 0 = 0 for d.
-1, 0, 1/3, 1, 2
Find a such that 0*a**3 + 0 - 1/6*a**4 + 1/6*a**2 + 0*a = 0.
-1, 0, 1
Let n = 48 - 5. Factor -50*j**3 - n*j**2 - 161*j**2 - 160*j - 5*j**4 + 44*j**2.
-5*j*(j + 2)*(j + 4)**2
Let b(f) = 6*f**4 + 36*f**3 + 54*f**2 + 13*f + 39. Let c(r) = -r**4 - 6*r**3 - 9*r**2 - 2*r - 6. Let y(k) = 6*b(k) + 39*c(k). Factor y(n).
-3*n**2*(n + 3)**2
Let x(q) be the third derivative of -q**7/630 - q**6/40 + q**2 + 68*q. Factor x(v).
-v**3*(v + 9)/3
What is j in -1/5*j**2 - 32/5 - 12/5*j = 0?
-8, -4
Let c(m) be the third derivative of -m**7/1260 - m**6/720 + 23*m**5/360 - m**