= -s**3 + 13*s**2 + s - 3. Let y be o(13). Let z = -6 + y. Factor 1/2*u**2 + 0 + 9/4*u**3 + 0*u + 7/4*u**z.
u**2*(u + 1)*(7*u + 2)/4
Suppose 5/6*q**4 - 5/6*q**2 - 5/6*q**3 + 5/6*q + 0 = 0. Calculate q.
-1, 0, 1
Let b = 39 - 35. Let h(y) be the second derivative of 1/20*y**5 - 1/6*y**3 + 0 + 0*y**2 + y + 1/30*y**6 - 1/12*y**b. Let h(g) = 0. Calculate g.
-1, 0, 1
Let d be 6/14*(-2)/(-3). Factor -2/7*u**2 - 4/7*u - d.
-2*(u + 1)**2/7
Suppose 0*d - 5*d = -15. Suppose -d*s + 3*s + s + s**2 + 0*s = 0. Calculate s.
-1, 0
Let o = 116/357 + 1/119. Factor -2*s**2 + 4/3*s + 4/3*s**3 - o - 1/3*s**4.
-(s - 1)**4/3
Suppose -5*t = -3 - 17. Suppose -t = -2*u - 0*u. Let 4/9*w + 2/9*w**u + 2/9 = 0. Calculate w.
-1
Suppose 0*p + 5*p + 4*i = 6, 3*i = p - 5. Factor -p*x**3 + 27*x**4 - 29*x**4 + 10*x**3 - 8*x**2.
-2*x**2*(x - 2)**2
Suppose -2*k - 2*f + 2 = -4, -5*f - 9 = k. Factor -m**3 + 2*m**2 + k*m**2 - m**3 + 4 - 10*m.
-2*(m - 2)*(m - 1)**2
Let a(p) be the third derivative of p**10/30240 + p**9/9450 + p**8/33600 - p**7/6300 - p**4/24 + 4*p**2. Let z(s) be the second derivative of a(s). Factor z(l).
l**2*(l + 1)**2*(5*l - 2)/5
Suppose -2*b = 3*b. Let a(q) be the third derivative of 0 - 1/48*q**4 + q**2 + 1/24*q**3 + 1/240*q**5 + b*q. Factor a(d).
(d - 1)**2/4
Let z(p) = -3*p + 38. Let t be z(12). Factor 2/3 - 8/3*s + 2*s**t.
2*(s - 1)*(3*s - 1)/3
Let t(m) be the first derivative of 1/4*m - 1/8*m**2 + 1/16*m**4 + 4 - 1/12*m**3. Factor t(y).
(y - 1)**2*(y + 1)/4
Let q(r) = r**3 + 4*r**2 + 3*r + 1. Let j be q(-2). Suppose 0 = -2*w - w + 45. Let -7*s**3 - 4*s**j - 3*s - s**3 + w*s**2 = 0. What is s?
0, 1/4, 1
Let d(k) = 6*k**3 + 4*k**2 - 2*k - 2. Let f(v) = -v**5 - 6*v**3 - 4*v**2 + 3*v + 3. Let q(p) = -3*d(p) - 2*f(p). Factor q(r).
2*r**2*(r - 2)*(r + 1)**2
Suppose -388*y = -381*y - 7. Find m such that -1/4*m**2 - m - y = 0.
-2
Let i(x) be the third derivative of 0*x + 1/1260*x**7 + 0*x**4 + 0*x**3 + 2*x**2 + 1/240*x**6 + 1/180*x**5 + 0. Find h, given that i(h) = 0.
-2, -1, 0
Let i(d) = d - 1. Let b(s) = s**3 + s**2 + 6*s - 8. Let f(r) = 3*b(r) - 21*i(r). What is y in f(y) = 0?
-1, 1
Let a(p) be the second derivative of -6*p + 0*p**2 + 2/3*p**3 - 1/5*p**5 + 0 + 0*p**4. Find x such that a(x) = 0.
-1, 0, 1
Let t be (-6)/4*(-8)/(-12). Let n = t - -8/5. Factor -3/5 - n*o**2 - 6/5*o.
-3*(o + 1)**2/5
Let m(o) be the second derivative of -o**9/10584 - o**8/5880 + o**3/6 + 3*o. Let t(s) be the second derivative of m(s). Factor t(b).
-2*b**4*(b + 1)/7
Let c be (6 - 4)*1/(-2). Let r be (-224)/70*c/4. Factor -6/5*v**3 + 6/5*v - r + 4/5*v**2.
-2*(v - 1)*(v + 1)*(3*v - 2)/5
Let d be ((-1)/3)/((-1)/9). Suppose -q + 8 = d*q. Factor 0*f**q - 6/5*f + 2/5*f**3 + 4/5.
2*(f - 1)**2*(f + 2)/5
Let q(w) be the third derivative of -49*w**6/1440 - 7*w**5/48 - w**4/4 - 2*w**3/9 + 23*w**2. Factor q(a).
-(a + 1)*(7*a + 4)**2/12
Let k be 4/(-3)*9/(-6). Suppose -3*b = -4*b + k. Let 0*n + 2/11*n**5 + 24/11*n**3 - 16/11*n**b - 12/11*n**4 + 0 = 0. Calculate n.
0, 2
Let j(q) = -q - 4 + 2*q + 2. Let r be j(6). Suppose -d**r + d**2 + 11*d - 11*d = 0. What is d?
-1, 0, 1
Let o be ((-4)/10)/(420/(-50)). Let y(k) be the second derivative of 0 - o*k**4 + k - 1/147*k**7 - 1/35*k**5 + 1/7*k**3 + 1/35*k**6 - 1/7*k**2. Factor y(q).
-2*(q - 1)**4*(q + 1)/7
Find z, given that 1/7*z**2 + 4/7 - 4/7*z = 0.
2
Suppose -51 = -3*m - l - 7, -5*l = 4*m - 44. Factor -m*z**2 + 4*z**3 - 8*z**4 + 2*z - 6*z - 24*z**3.
-4*z*(z + 1)**2*(2*z + 1)
Let g be (4/(-2 - -1))/((-16)/24). Let l(a) be the third derivative of 0*a + 0 - a**2 + 1/480*a**g + 0*a**3 + 0*a**5 + 0*a**4. Factor l(d).
d**3/4
Let j(g) = 8*g**3 - 38*g**2 + 32*g - 22. Let z be 2/(-3) - 11/(-3). Let p(i) = 3*i**3 - 13*i**2 + 11*i - 7. Let l(a) = z*j(a) - 10*p(a). Factor l(w).
-2*(w - 1)**2*(3*w - 2)
Let w(x) = -2*x**4 + 7*x**3 - 3*x**2 - 4*x + 5. Let l(t) = 2*t**4 - 7*t**3 + 4*t**2 + 3*t - 4. Let v(z) = 3*l(z) + 2*w(z). Factor v(u).
(u - 2)*(u - 1)**2*(2*u + 1)
Let k be -1 + ((-962)/(-160) - 5). Let j(f) be the second derivative of 0*f**2 - f - 1/60*f**6 + 1/168*f**7 + 0*f**3 + 0*f**4 + 0 + k*f**5. Factor j(m).
m**3*(m - 1)**2/4
Let v(l) be the first derivative of 4*l**3/3 - 4*l**2 + 4*l - 10. Factor v(m).
4*(m - 1)**2
Let f(l) be the third derivative of l**6/480 - l**5/240 - 5*l**4/96 - l**3/8 + 9*l**2. Suppose f(i) = 0. Calculate i.
-1, 3
Let v(u) be the second derivative of -1/6*u**2 - 5/36*u**4 + 0 + 2/9*u**3 + 1/30*u**5 + 3*u. Solve v(j) = 0.
1/2, 1
Suppose 2/3*m - 1/3*m**2 - 1/9 - 10/9*m**3 = 0. What is m?
-1, 1/5, 1/2
Let f = -617 + 617. Factor 1/5*i - 3/5*i**3 + 2/5*i**4 + 0 + f*i**2.
i*(i - 1)**2*(2*i + 1)/5
Let m(p) be the first derivative of -4/3*p - 2/9*p**3 + p**2 + 2. Solve m(g) = 0.
1, 2
Let r be (-11)/(-3) + (-10)/15. What is k in -k + 1 + r - 2*k**2 - k = 0?
-2, 1
Let n be (-59)/(-59)*(-1)/(-3). Factor n + z - z**3 - 1/3*z**2.
-(z - 1)*(z + 1)*(3*z + 1)/3
Let j(a) be the first derivative of 1/12*a**4 + 0*a**2 - 1/6*a**3 + 3 - a. Let m(q) be the first derivative of j(q). Find g such that m(g) = 0.
0, 1
Let i(b) = 2*b**2 + 2*b - 1. Let p = 5 - 6. Let q(h) = -h**3 + h - 1. Let x(w) = p*q(w) + i(w). Let x(d) = 0. Calculate d.
-1, 0
Let x be 14/6 - 4/(-6). Suppose -x*k = -10 + 4. Solve 3*p**2 + 2*p**5 + p - p**5 - 2*p**3 - 3*p**k = 0.
-1, 0, 1
Let k(d) be the third derivative of d**6/24 + 2*d**5/3 - 15*d**4/8 - d**2 - 2. Determine w so that k(w) = 0.
-9, 0, 1
Solve -32/9*u + 128/9 + 2/9*u**2 = 0.
8
Factor 2/3*q**2 - 4/3*q + 2/3.
2*(q - 1)**2/3
Suppose -g - 9 - 18 = -2*h, 51 = 3*h + 2*g. Suppose -4*b - b + h = 0. Find f, given that 1/6 - 1/6*f**2 + 1/6*f - 1/6*f**b = 0.
-1, 1
Let c = 84 - 84. Solve 0 - 2/3*q**3 - 4/3*q**4 + 2/3*q**5 + 4/3*q**2 + c*q = 0.
-1, 0, 1, 2
Let b(a) be the first derivative of 3/16*a**4 - 3 + 0*a - 3/20*a**5 - 1/12*a**3 + 0*a**2 + 1/24*a**6. Factor b(c).
c**2*(c - 1)**3/4
Determine a, given that -3/2*a**2 + 3*a + 0 = 0.
0, 2
Let r = 18 + 27. Solve -r*c + 51*c - 3*c**2 - 6*c**3 + 2*c**4 + c**2 = 0.
-1, 0, 1, 3
Let d(j) be the second derivative of 25*j**4/32 + 15*j**3/8 + 27*j**2/16 + 62*j. Solve d(p) = 0.
-3/5
Let y(s) = s**3 + s - 1. Let d(a) = -5*a**3 - 3*a**2 - 6*a + 4. Let o(q) = d(q) + 4*y(q). Factor o(n).
-n*(n + 1)*(n + 2)
Let o(m) be the first derivative of -m**4/5 + 14*m**2/5 + 24*m/5 - 8. Factor o(r).
-4*(r - 3)*(r + 1)*(r + 2)/5
Let q(n) be the first derivative of 7 + 1/10*n**4 - 2/15*n**3 + 0*n + 0*n**2. Let q(g) = 0. Calculate g.
0, 1
Let x be 1*(4 + 44/(-12)). Let i(z) be the first derivative of 0*z - 1 - 1/2*z**2 + x*z**3. Factor i(b).
b*(b - 1)
Suppose 2*z - 4 = -0. Factor -4/9 - 2/3*m + 2/9*m**z + 2/3*m**3 + 2/9*m**4.
2*(m - 1)*(m + 1)**2*(m + 2)/9
Let o(l) = 3*l + 1. Let n be o(1). Solve 2*q**n + 4*q**2 - 4*q**2 - 2*q**3 + 2*q - 3*q**2 + q**2 = 0 for q.
-1, 0, 1
Let k(a) be the first derivative of a**6/9 - a**4/3 + a**2/3 + 21. Factor k(b).
2*b*(b - 1)**2*(b + 1)**2/3
Let h(k) = -2*k - 4. Let u be h(-3). Let g(m) = 3 - 3 - u + 3. Let n(j) = j**2 + 2*j - 1. Let r(s) = -2*g(s) - n(s). Factor r(v).
-(v + 1)**2
Let j(n) be the second derivative of -n**6/360 - n**5/60 - n**4/24 - 5*n**3/6 + 6*n. Let v(b) be the second derivative of j(b). Solve v(m) = 0 for m.
-1
Factor -10*k**3 - 2*k**2 - 4*k**2 + 12*k**3 + 4*k.
2*k*(k - 2)*(k - 1)
Let d = 9 + -7. Let c be d*1*(-1 + 2). Find p such that -6*p**c - 2 - 7*p**3 + 4*p**3 + p**3 - 6*p = 0.
-1
What is o in 27 - 19 + 52*o**2 - 2*o**2 - 56*o - 12*o**3 = 0?
1/6, 2
Let p(z) be the second derivative of 0 + 0*z**3 + 7*z + 1/195*z**6 + 1/65*z**5 + 1/78*z**4 + 0*z**2. Suppose p(x) = 0. Calculate x.
-1, 0
Let j = 4 + 0. Let c be ((-2)/(-9) - j) + 4. Factor c + 0*s - 2/9*s**2.
-2*(s - 1)*(s + 1)/9
Suppose 80 = 9*p - 4*p. Let d = p + -14. Factor -1/5*h**d + 2/5*h + 0.
-h*(h - 2)/5
Let l(r) = 4*r**3 + 4*r**2 + 2*r + 2. Suppose -3*z - 13 = 5. Let v(u) = -u**3 - u**2 - u - 1. Let b(a) = z*v(a) - 2*l(a). Suppose b(y) = 0. What is y?
-1, 1
Let h be (2 + (-6)/15)/(-6). Let r = 3/5 + h. Solve 0*t - 1/3*t**4 - r*t**2 - 2/3*t**3 + 0 = 0 for t.
-1, 0
Let -2/5*j**2 + 4/5 + 2/5*j = 0. What is j?
-1, 2
Let o be 1*1/2*(0 + 0). Let m(v) be the third derivative of o + 0*v**3 + 1/42*v**5 - 3*v**2 + 0*v + 1/42*v**4. Factor m(y).
2*y*(5*y + 2)/7
Suppose h - i - 4 = 1, -5*i = -h + 13. Suppose -3*g = 