 + 30/7 = 0.
-5, -2, -1
Factor 3/5*c**4 - 27/5*c - 3/5*c**2 + 0 + 27/5*c**3.
3*c*(c - 1)*(c + 1)*(c + 9)/5
Let k(a) = -a**2 - 1. Let y(x) = -5*x**2 - x - 2. Let o(t) = 4*k(t) - y(t). Factor o(h).
(h - 1)*(h + 2)
Let v be (3 + (-27)/7)*294/(-63). Factor 2*c**3 + 2*c - 1/2 - 3*c**2 - 1/2*c**v.
-(c - 1)**4/2
Let n(l) = 6*l**2 - 6*l - 3. Let z(i) = -i**3 - i + 1. Let a(q) = n(q) - 3*z(q). Determine v so that a(v) = 0.
-2, -1, 1
Let w = 412/3 - 136. Find k, given that -1/3 - 4/3*k**3 + w*k + 1/3*k**2 = 0.
-1, 1/4, 1
Let j = -69/5 - -622/45. Let i(a) be the third derivative of 0 + 0*a + 0*a**3 + 1/180*a**6 + j*a**5 + a**2 + 1/36*a**4. Find w, given that i(w) = 0.
-1, 0
Suppose -n = -5*x + n + 172, -4*n = -4*x + 140. Let r = 69/2 - x. Find i such that -r*i**2 - 1/4*i + 1/2*i**4 + 0 + 1/4*i**5 + 0*i**3 = 0.
-1, 0, 1
Let q(u) = u**2 + 2*u + 3. Suppose 7*z - 2*z + 10 = 0. Let i be q(z). Factor 0*t**2 + 1/2*t**i - 1/2*t + 0.
t*(t - 1)*(t + 1)/2
Let d(x) be the third derivative of x**6/180 + x**5/90 - x**4/36 - x**3/9 + 13*x**2 - 3*x. Factor d(h).
2*(h - 1)*(h + 1)**2/3
Let x be (-5)/2 + 56/16. Let m be -13 + 10 + 2 + x. Find q, given that 2/3*q**4 + 0 + 2*q**3 + m*q + 4/3*q**2 = 0.
-2, -1, 0
Let r be (0 + (-1)/(-1))*3. Suppose 8*x = r*x + 10. Let -6*g**2 + g + 3*g - 4*g**x = 0. Calculate g.
0, 2/5
Let h(l) = l - 4. Let a = -8 + 14. Let k be h(a). Suppose 2/7*f**5 + 2/7*f - 2/7 - 4/7*f**3 - 2/7*f**4 + 4/7*f**k = 0. What is f?
-1, 1
Let r(s) be the second derivative of -1/5*s**5 - 1/10*s**6 + 0*s**3 + 0*s**2 - 1/12*s**4 + 2*s + 0. Solve r(p) = 0.
-1, -1/3, 0
Let g = 2/679 - -166/97. Find u such that 0*u + g*u**3 + 0 + 18/7*u**4 + 2/7*u**2 = 0.
-1/3, 0
Let i(c) be the third derivative of 2*c**2 - 1/140*c**7 + 0*c + 0 + 0*c**3 - 1/40*c**5 + 0*c**4 + 1/40*c**6. What is p in i(p) = 0?
0, 1
Factor -1/4*k**2 + 1/4 + 0*k.
-(k - 1)*(k + 1)/4
Let v be (-13)/5 + (-21 - -24). Suppose 0 = -h + 1, 0*c + 5*h + 5 = 2*c. Factor -v*a**3 + 0 + 0*a + 0*a**4 + 2/5*a**c + 0*a**2.
2*a**3*(a - 1)*(a + 1)/5
Let j(o) be the third derivative of o**5/20 - o**4/2 + 2*o**3 + 12*o**2. Suppose j(y) = 0. Calculate y.
2
Suppose -2*t + t = 0, 4*x = -4*t. Let o(n) be the second derivative of 4*n + x*n**3 + 0 + 0*n**2 - 1/42*n**4 - 1/35*n**5 - 1/105*n**6. Factor o(c).
-2*c**2*(c + 1)**2/7
Let s(d) be the second derivative of d**5/180 - d**4/24 + d**3/9 + 3*d**2 + 4*d. Let r(u) be the first derivative of s(u). Suppose r(b) = 0. What is b?
1, 2
Suppose 2*m - 1 = 4*u + 9, -2*m + 10 = 5*u. Factor -1/6*z + 1/6*z**2 + u.
z*(z - 1)/6
Let h = 301/2 - 149. Determine x so that h*x**2 + 3/2 - 3*x = 0.
1
Let g be 10 + (-1)/(-2)*0. Let m = 12 - g. Solve 2*c**m + 3*c - 3*c = 0.
0
Let s(r) be the third derivative of -r**6/360 - r**5/12 - 3*r**4/8 - 13*r**3/18 + 29*r**2. Find x, given that s(x) = 0.
-13, -1
Find v such that -3/7*v**3 + 12/7*v**2 + 0 - 9/7*v = 0.
0, 1, 3
Solve 0*f - 1/2 + 1/2*f**2 = 0 for f.
-1, 1
Let h be (-22)/(-4) - (-6)/(-12). Let m = -2 + h. Determine j, given that -j - j + 0*j**3 + j**3 + j**m = 0.
-1, 0, 1
Let z = 3/308 - -151/308. What is f in 1/2*f**2 - 1/4*f + 1/4*f**3 - z = 0?
-2, -1, 1
Determine t so that -40/9*t**5 + 14/9*t**2 + 0 + 4/9*t - 74/9*t**4 - 8/3*t**3 = 0.
-1, -1/4, 0, 2/5
Let u(g) be the second derivative of g**5/35 + g**4/7 - 20*g**3/21 + 19*g. Factor u(q).
4*q*(q - 2)*(q + 5)/7
Let d(t) = -44*t + 134. Let z be d(3). Factor 1/3 - 3/2*i**z - 7/6*i.
-(i + 1)*(9*i - 2)/6
Determine m, given that -144*m**2 + 170*m**4 - 128*m**2 + 154*m**4 - 32*m - 501*m**3 - 3*m**3 = 0.
-2/9, 0, 2
Let 40*q**3 + 24*q - 9*q**2 - 12 + 3*q**4 + 37*q**3 - 83*q**3 = 0. What is q?
-2, 1, 2
Let z be -1*(-3)/(-2)*(-52)/39. Let r(d) be the third derivative of 0 + 0*d**3 + 0*d**4 + 5*d**z + 0*d - 1/90*d**5. Factor r(i).
-2*i**2/3
Let a(q) be the third derivative of -q**7/12600 - q**6/1200 - q**5/300 - q**4/8 - q**2. Let w(d) be the second derivative of a(d). Factor w(u).
-(u + 1)*(u + 2)/5
Let -4/5 - 4/5*u + 4/5*u**3 + 4/5*u**2 = 0. Calculate u.
-1, 1
Let 12*y**2 + 3*y**4 - y**4 + 20*y**3 + 38*y**2 = 0. What is y?
-5, 0
Let j = -83 + 85. Let x(c) be the first derivative of -1/3*c**3 + 0*c**j + 1/5*c**5 + 1/6*c**6 + 2 + 0*c - 1/4*c**4. Factor x(k).
k**2*(k - 1)*(k + 1)**2
Suppose -2*d - 8 = -5*k, 0 = k + 3*d - 5*d. Factor -5*y**3 - 3*y**2 + 6*y**3 - 4*y**3 + 9*y**k - 3*y.
-3*y*(y - 1)**2
Suppose -x - 2*r + 2 = 0, -x = -r - 5 - 0. Suppose 2*b**4 - b**4 + b**x = 0. What is b?
0
Suppose 17*v - 13*v - 8 = 0. Solve -10 - 19*n - 17 + n - n**v - 2*n**2 = 0 for n.
-3
Let b be 13/(-39) - 37/(-3). Let k be (2/(-5))/(b/(-15)). Factor t + 0 - k*t**2.
-t*(t - 2)/2
Let b(r) be the first derivative of 2*r**3/9 + r**2/3 + 6. Factor b(n).
2*n*(n + 1)/3
Factor -1/4*v**5 - 2*v**3 + 0 - v**2 - 5/4*v**4 + 0*v.
-v**2*(v + 1)*(v + 2)**2/4
Let s(z) be the first derivative of z**4/16 - 3*z**3/8 + 5*z + 1. Let h(a) be the first derivative of s(a). Suppose h(f) = 0. Calculate f.
0, 3
Suppose 0 + 0*t - 2/5*t**2 = 0. Calculate t.
0
Let y(j) be the first derivative of 0*j + 0*j**3 - 3 - j**2 + 1/2*j**4. Determine o, given that y(o) = 0.
-1, 0, 1
Factor 0 + 3/8*n**2 - 1/4*n - 1/8*n**3.
-n*(n - 2)*(n - 1)/8
Determine a, given that 12*a**2 - 12*a + 1 + 3 - 15*a**4 + 6*a**5 - 1 + 6*a**3 = 0.
-1, 1/2, 1
Factor -3/5*u**2 + 3/5*u**4 + 0 - 6/5*u**3 + 6/5*u.
3*u*(u - 2)*(u - 1)*(u + 1)/5
Let k(i) be the third derivative of -i**7/1575 - i**6/180 - 7*i**5/450 - i**4/60 + 8*i**2. Find h, given that k(h) = 0.
-3, -1, 0
Let d be 36/(-40) + 2/2. Let m(b) be the second derivative of 2*b**2 + 0*b**4 - d*b**5 + 0 + b**3 + 2*b. Factor m(c).
-2*(c - 2)*(c + 1)**2
Let q = 483/2 - 241. Factor -q*t**2 - 1/2 + t.
-(t - 1)**2/2
Let r be -4*(-1)/2 - 0. Factor -5*z**5 + 0*z**5 + 6*z**5 - r*z + z**5 - 4*z**2 + 4*z**4.
2*z*(z - 1)*(z + 1)**3
Let g(y) be the second derivative of 3*y**5/20 - 2*y**4 + 13*y**3/2 - 9*y**2 - 6*y. Solve g(a) = 0.
1, 6
Let s(h) be the second derivative of 0*h**2 + 0 + 0*h**4 + 0*h**3 + 5*h + 1/20*h**5. Let s(u) = 0. Calculate u.
0
Let p(x) = -x**2 + 5*x + 8. Let m be p(6). Suppose -k**2 + 5*k**m - 2*k**2 = 0. What is k?
0
Suppose 8 = -2*f - 0*f. Let t be ((-12)/f)/(9/6). Find g, given that -2/3 - 2/3*g**t + 4/3*g = 0.
1
Factor -3*z**2 - 5 + 3*z**2 + 23 - 2*z**2.
-2*(z - 3)*(z + 3)
Let w(n) be the third derivative of -n**7/105 + n**6/60 + 9*n**2. Let w(g) = 0. Calculate g.
0, 1
Suppose 9 - 1 = 4*u. Let o(z) be the third derivative of 0 - 3*z**u + 1/16*z**4 + 1/240*z**6 + 0*z + 1/40*z**5 + 1/12*z**3. Factor o(i).
(i + 1)**3/2
Let w(s) be the first derivative of s**8/336 - s**7/126 + s**6/180 - 2*s**2 - 5. Let y(h) be the second derivative of w(h). Factor y(k).
k**3*(k - 1)*(3*k - 2)/3
Suppose 0 = -i + 3*m - 13, -4*i + 4*m + 1 = 13. Factor -9/5*j**3 + 0 - 2/5*j**i + 0*j - 7/5*j**4.
-j**2*(j + 1)*(7*j + 2)/5
Let n(v) be the second derivative of 0 - 7/40*v**5 - 1/4*v**3 - 1/2*v**4 + 1/2*v**2 - 7*v. Factor n(x).
-(x + 1)**2*(7*x - 2)/2
Factor -4/13*v**2 - 2/13*v**4 + 0 + 0*v - 6/13*v**3.
-2*v**2*(v + 1)*(v + 2)/13
Let f be (-9)/12 - 9/(-12). Suppose -t**2 + 4*t**2 + f*t**2 - 5*t - t + 3 = 0. What is t?
1
Suppose 2*g + 5*h - 232 = 6*h, 0 = 3*g + 4*h - 348. Let p = g + -52. Factor -p*y**2 + 2*y**5 - 16 + 50*y**3 - 12*y**2 + y**4 - 17*y**4 + 56*y.
2*(y - 2)**3*(y - 1)**2
Let i be 126/30 - (-6)/(-15). Let z = i + -52/15. Factor z*u**3 + 0 + 2/3*u + u**2.
u*(u + 1)*(u + 2)/3
Let w = -1841/9 + 205. Solve -2/3*n**3 + 0 + 14/9*n**2 - w*n = 0.
0, 1/3, 2
Let -2/7*f**5 + 2/7 + 10/7*f**4 - 10/7*f - 20/7*f**3 + 20/7*f**2 = 0. Calculate f.
1
Let q = 1071 + -1068. Factor 12/7*f**4 - 12/7*f + 8/7*f**q - 4/7 - 8/7*f**2 + 4/7*f**5.
4*(f - 1)*(f + 1)**4/7
Suppose 0 = 4*g - 175 - 297. Let c = g + -346/3. Factor -2/3 + c*l**3 - 2/3*l**4 - 4*l**2 + 8/3*l.
-2*(l - 1)**4/3
Let a(w) = -w**3 + w**2 - 1. Let b(r) = r**3 - 3*r**2 + 2*r - 1. Let z be (1/(-2))/((-5)/10). Let k(j) = z*b(j) - a(j). Factor k(p).
2*p*(p - 1)**2
Let x = -103/4 - -26. What is y in 0*y - x + 1/4*y**2 = 0?
-1, 1
Suppose -i - 4*h = -12, -2*i - 4*h + 3*h + 3 = 0. Factor 3*j**3 + i*j**5 + 2*j**5 + j**5 - 6*j**4.
3*j**3*(j - 1)**2
Let b(d) = -2*d**3 + 16*d**2 + 10*d - 72. Let z(x) = x**3 - x. Let g(y) = b(y) - 2*z(y). Factor g(h).
-4*(h - 3)**2*(h + 2)
Let b(w) be the first derivative of w**