3 + f + 8/3*y**2 = 0.
-2, -1
Let t = -363 + 727/2. Factor 0*c - 1/2 + t*c**2.
(c - 1)*(c + 1)/2
Suppose -3/5*h**3 + 3/5*h + 12/5 - 12/5*h**2 = 0. Calculate h.
-4, -1, 1
Factor -1/6*w**4 - 1/3*w**3 - 1/6*w**2 + 0*w + 0.
-w**2*(w + 1)**2/6
Suppose -d - 3*r = 12, -4*r - r - 20 = -d. Factor -3 + h**3 + 4*h**2 + d - 5*h**2 - h + 4.
(h - 1)**2*(h + 1)
Let k = 15/16 + -133/176. Solve -2/11 + 2/11*z + 2/11*z**2 - k*z**3 = 0 for z.
-1, 1
Let o be (-1)/(2*4/(-24)). Suppose -i - o*i = 0. Let 0 + i*z**2 + 0*z - 1/2*z**3 = 0. Calculate z.
0
Determine p, given that -158*p + 81*p + 82*p - 3 - p**3 - p**2 = 0.
-3, 1
Let a(p) be the second derivative of p**4/4 - p**3/2 - 3*p**2 + 12*p. Factor a(t).
3*(t - 2)*(t + 1)
Suppose -4*f + 6 = -f. Factor 20*u + f*u**3 - 5*u**3 - 7*u - 10*u.
-3*u*(u - 1)*(u + 1)
Factor -5/6*d - 1/6*d**3 - 1/3 - 2/3*d**2.
-(d + 1)**2*(d + 2)/6
Let k(s) be the second derivative of 1/20*s**5 + 0*s**6 + 0*s**2 + 0 - 3*s + 0*s**3 + 0*s**4 - 1/42*s**7. Factor k(j).
-j**3*(j - 1)*(j + 1)
Let z be 4581/(-135) - (-3)/5. Let c = z + 34. Find j, given that -c*j**2 - 5/3*j - 2/3 = 0.
-2, -1/2
Let k(n) = -n**3 + 6*n**2 + n - 4. Let a be k(6). Let z(j) = -2*j - 2. Let x be z(-2). Factor -x*m**2 + 0 + 4 - 2*m - 3*m**2 + 3*m**a.
-2*(m - 1)*(m + 2)
Suppose 4*h - 5*s - 29 = -198, -s = -1. Let q = 85/2 + h. Let 2*n - 1/2 - q*n**2 = 0. What is n?
1/3, 1
Let y(v) be the third derivative of -v**10/120960 + v**8/13440 - v**6/2880 + v**4/24 - 3*v**2. Let n(d) be the second derivative of y(d). Solve n(w) = 0 for w.
-1, 0, 1
Factor 6*a**2 + 14/5*a + 8/5*a**4 + 26/5*a**3 + 2/5.
2*(a + 1)**3*(4*a + 1)/5
Suppose t + 75 = -0*t. Let k = t + 677/9. Factor 2/9*o**4 - 4/9*o - k + 4/9*o**3 + 0*o**2.
2*(o - 1)*(o + 1)**3/9
Suppose -3*u + 6*u + 3*m + 3 = 0, -7 = u + 3*m. Suppose p - 22 = -2*p - 2*g, -10 = -2*g. Let p*s**4 - 4*s**3 - 4*s**4 + 3*s**4 - s**2 + u*s = 0. Calculate s.
-2/3, 0, 1
Let g(w) be the third derivative of -w**5/20 + w**3/2 - 12*w**2. What is r in g(r) = 0?
-1, 1
Let g(p) = -2*p - 2. Let x(i) = -5*i - 5. Let k(r) = -8*g(r) + 3*x(r). Let w(t) = t**2 - 6*t - 1. Let q(b) = 3*k(b) + w(b). Solve q(s) = 0.
1, 2
Let l(o) be the first derivative of -o**4/20 + 2*o**2/5 - 36. Factor l(h).
-h*(h - 2)*(h + 2)/5
Let y be 264/80 + 2/20*2. Factor 5/2*j**2 + y*j + 1.
(j + 1)*(5*j + 2)/2
Let y(d) = -d**2 - 11*d + 4. Let w be y(-12). Let j(p) = -p - 2. Let t be j(w). Suppose t*f + 3*f**2 + 1 - f**2 + 2 + 1 = 0. Calculate f.
-2, -1
Let n be (-2*2)/(17/((-4675)/66)). Factor n*u - 14/3*u**3 + 8*u**2 + 4.
-2*(u - 3)*(u + 1)*(7*u + 2)/3
Let d = 9/5 - 1. Let o(k) = 3*k**2 + 8*k + 7. Let u be o(-2). Find r such that -2/5*r**u + 6/5*r - d + 0*r**2 = 0.
-2, 1
Let g = 11 - 7. Determine n, given that -20*n**4 - n**3 + 6*n**3 - n**5 + 15*n**3 + g + 7*n**5 - 10*n = 0.
-2/3, 1
Suppose -4*f + 8 = 3*m - 14, -m - 4*f + 18 = 0. Factor -9*b**3 + 0*b**2 + 0*b**m + 2*b**2.
-b**2*(9*b - 2)
Let 1/2*u**4 - 1/2*u - 3/2*u**2 + 1 + 1/2*u**3 = 0. What is u?
-2, -1, 1
Let j(l) be the first derivative of l**6/900 - l**5/150 + l**4/60 + l**3/3 - 3. Let t(u) be the third derivative of j(u). Factor t(k).
2*(k - 1)**2/5
Let h(j) be the first derivative of -j**4/72 - j**3/18 + 2*j + 3. Let m(o) be the first derivative of h(o). Factor m(i).
-i*(i + 2)/6
What is d in -5*d**2 + 10*d**3 + 5*d**4 + 8 - 8 - 10*d**5 = 0?
-1, 0, 1/2, 1
Let q(h) = -3*h**2 + 3 + 7*h**2 - 2*h**2 + 4*h**2 + 9*h. Let n(d) = -d**2. Let r(l) = -18*n(l) - q(l). Find a, given that r(a) = 0.
-1/4, 1
Let p be (-20)/72*3*-6. Suppose r + 8 = p*s, 5*s - 5*r = -3*r + 6. Factor 4/3*z**4 - 11/3*z + 1/3*z**3 - 4*z**s - 2/3.
(z - 2)*(z + 1)**2*(4*z + 1)/3
Factor 1/3*w**5 + w**3 + 0 + 0*w + 1/3*w**2 + w**4.
w**2*(w + 1)**3/3
Let h = -57 - -62. Let g(y) be the first derivative of -3/4*y**4 + y**2 - 3 + 1/3*y**3 - 1/5*y**h + 1/6*y**6 + 0*y. What is m in g(m) = 0?
-1, 0, 1, 2
Suppose -4*v = m - 5 - 2, -m = -v - 2. Suppose 2*d + d + 9 = m*z, 0 = 2*d - 6. Solve 2*c + 1 - 8 + z + 2*c**2 - 3*c**2 = 0.
1
Let f(i) be the second derivative of -i**8/600 + i**7/420 + i**6/450 - i**3/3 - i. Let w(s) be the second derivative of f(s). Factor w(k).
-2*k**2*(k - 1)*(7*k + 2)/5
Let v(m) be the first derivative of m**4/14 + 2*m**3/21 - 4*m**2/7 - 8*m/7 + 5. Let v(p) = 0. What is p?
-2, -1, 2
Let a be 8/(-28) - (-1101)/3780. Let i(z) be the second derivative of 0 + 1/120*z**5 + a*z**6 + 0*z**2 + 0*z**4 + 0*z**3 + z. Factor i(o).
o**3*(o + 1)/6
Let k(j) be the second derivative of -4*j**6/15 + 17*j**5/10 - 8*j**4/3 + j**3 + 25*j. Factor k(v).
-2*v*(v - 3)*(v - 1)*(4*v - 1)
Let n(g) = -g + 1. Let d be n(-4). Let o(r) = 7 - 2*r + d*r - r**4 - 4 - r**5. Let y(k) = -2*k**5 - 2*k**4 + 5*k + 5. Let b(j) = -5*o(j) + 3*y(j). Factor b(x).
-x**4*(x + 1)
Let p(v) be the third derivative of 7*v**6/20 + 29*v**5/30 - 2*v**4 + 11*v**3/6 - v**2. Let i(x) = 1. Let a(y) = -3*i(y) + p(y). Solve a(g) = 0.
-2, 2/7, 1/3
Let l(n) = -20*n**2 - 1. Let b be l(-1). Let k = 25 + b. What is v in 0 - 6/7*v**3 + 6/7*v**2 - 2/7*v + 2/7*v**k = 0?
0, 1
Let b(o) be the third derivative of o**6/420 + o**5/210 - 16*o**2. Factor b(m).
2*m**2*(m + 1)/7
Let i(a) be the second derivative of a**7/84 - 3*a**5/40 - a**4/12 - 11*a. Factor i(v).
v**2*(v - 2)*(v + 1)**2/2
Factor 1/2*l**2 + 1/4*l + 1/4*l**3 + 0.
l*(l + 1)**2/4
Factor -2/11*h + 2/11*h**3 - 2/11 + 2/11*h**2.
2*(h - 1)*(h + 1)**2/11
Suppose -6 - 12 = -5*v - 2*s, 2*v = -3*s + 16. Factor -7/3*h - h**v - 2/3.
-(h + 2)*(3*h + 1)/3
Let q(r) be the first derivative of r**5/90 + r**4/9 + r**3/3 + 9*r**2/2 - 9. Let o(a) be the second derivative of q(a). Factor o(v).
2*(v + 1)*(v + 3)/3
Factor -1/5*i**3 + 1/5*i - 1/5 + 1/5*i**2.
-(i - 1)**2*(i + 1)/5
Suppose 37 + 19 = 4*o. Suppose -16*h + 8 = -o*h. Solve 2/9*b**h + 0*b - 4/9*b**2 + 0*b**3 + 2/9 = 0 for b.
-1, 1
Let h(g) be the first derivative of -g**7/280 - 2*g**3/3 - 2. Let x(u) be the third derivative of h(u). Factor x(b).
-3*b**3
Solve 4*x**5 - 104/7*x**3 - 144/7*x**2 + 0 - 32/7*x + 36/7*x**4 = 0.
-2, -1, -2/7, 0, 2
Suppose -5*b + 1 = 4*q - 29, b - 12 = -2*q. Let a = 472/217 + -32/31. Determine n, given that -10/7*n**4 - a*n**q + 0*n + 0 - 2/7*n**3 + 0*n**2 = 0.
-1, -1/4, 0
Let b be (-6)/1272*(-151)/3. Let u = b + 2/159. Find l such that 0 + u*l**2 - 1/4*l**3 + 1/2*l = 0.
-1, 0, 2
Solve -14/11*r**3 + 8/11 + 24/11*r - 18/11*r**2 = 0 for r.
-2, -2/7, 1
Suppose 3*y - 10/3*y**2 - 2/3 + y**3 = 0. Calculate y.
1/3, 1, 2
Let u = 3280/11 - 298. What is i in -2/11 + 2/11*i**3 + 2/11*i**2 - u*i = 0?
-1, 1
Let w(a) be the third derivative of a**7/210 + a**6/120 - a**5/20 - a**4/24 + a**3/3 + 19*a**2. Determine i, given that w(i) = 0.
-2, -1, 1
Let b be ((-1)/(-3))/((-5)/615). Let t = 165/4 + b. Factor -t*m**2 - 1/2*m - 1/4.
-(m + 1)**2/4
Let w(r) = -r + 13. Let v(s) = 1. Let c(x) = -5*v(x) + w(x). Let i be c(6). Factor 0*j**2 + i*j**2 + 0*j**2.
2*j**2
Let x(y) = 2*y + 20. Suppose 8*h + 63 = h. Let k be x(h). Solve 4/7 + 2/7*f**k - 6/7*f = 0 for f.
1, 2
Let q(x) be the second derivative of -2*x**7/7 + 7*x**6/10 - x**5/30 - 37*x**4/36 + 4*x**3/9 + 2*x**2/3 - 8*x. Let q(n) = 0. What is n?
-2/3, -1/4, 2/3, 1
Factor -p**3 - 16*p**3 - 3*p**3 + 4*p**5 + 32*p + 16 - 4*p**4 + 4*p**2.
4*(p - 2)**2*(p + 1)**3
Let i(a) be the third derivative of a**7/30 - 13*a**6/60 + a**5/3 + a**4/3 - 4*a**2. Factor i(g).
g*(g - 2)**2*(7*g + 2)
Let g(q) be the first derivative of -q**6/420 + q**5/210 + q**4/84 - q**3/21 - q**2/2 + 2. Let c(y) be the second derivative of g(y). Let c(z) = 0. Calculate z.
-1, 1
Let b = -8 + 22. Let y be (-8)/b*(-7)/2. Factor 0*u**3 + 1/4*u**4 + 0 + 0*u**y + 0*u + 1/4*u**5.
u**4*(u + 1)/4
Let m(i) = -i**2 - 12*i - 8. Let t be m(-8). Solve -24*b + 6*b + 4*b**2 - b**2 + 3 + t = 0.
3
Let b(r) be the second derivative of -r**4/4 - 2*r**3 - 9*r**2/2 - 15*r. Factor b(w).
-3*(w + 1)*(w + 3)
Let l(v) = v**3 - 10*v**2 + 10*v - 6. Let h be l(9). Factor 6*o**h - 8*o**2 - 2*o**4 + 0*o + 0*o + 2*o**3.
-2*o**2*(o - 2)**2
Let l be 2 - (-5)/((-15)/(-17868)). Let i be 9/12 - l/(-120). Factor -24*r + 16/5 - 98/5*r**3 + i*r**2.
-2*(r - 2)*(7*r - 2)**2/5
Let y(s) = -s**3 - s**2. Let l be (24/(-9))/((-2)/6). Let d(a) = -2*a**3 - 18*a**2 + 4*a. Let i(z) = l*y(z) - d(z). What is f in i(f) = 0?
0, 2/3, 1
Let k(x) be the second derivativ