ctor -6*p**q - 2*p**2 - p**3 - 1 - 3*p + 5*p**2.
-(p + 1)**3
Let b(m) be the first derivative of -9*m**5/10 - 5*m**4 - 28*m**3/3 - 8*m**2 + 5*m + 7. Let s(p) be the first derivative of b(p). Factor s(j).
-2*(j + 2)*(3*j + 2)**2
Suppose 4*p + 68 = 5*j, -p + j = -0*j + 16. Let i = p + 37/3. Solve -1/3 + i*r**3 + 1/3*r**2 - 1/3*r = 0.
-1, 1
Factor -15/4*i**2 - 55/2*i - 35/4.
-5*(i + 7)*(3*i + 1)/4
Factor -2/13*i**5 + 0*i**2 + 2/13*i**4 + 0*i**3 + 0 + 0*i.
-2*i**4*(i - 1)/13
Suppose 474 = -3*j + 6*j + 3*k, 0 = 3*j - 5*k - 442. Factor -154 + 4*v**2 + j - 22*v**4 - 18*v**3.
-2*v**2*(v + 1)*(11*v - 2)
Suppose -5 = -4*i + 7. Let w = -5/41 + 107/205. Factor -4*z**2 - 2*z - 2*z**4 - 4*z**i - w - 2/5*z**5.
-2*(z + 1)**5/5
Let c(h) be the second derivative of h**8/10080 - h**7/2520 + h**5/360 + h**4/6 + 2*h. Let s(l) be the third derivative of c(l). Let s(n) = 0. Calculate n.
-1/2, 1
Let o be ((-5)/30)/(1/3). Let b = 0 - o. Let -b*m + 1/4 + 1/4*m**2 = 0. Calculate m.
1
Let y = 80 - 78. Suppose -2/3 + 4/3*a + 22/3*a**y - 8*a**3 = 0. Calculate a.
-1/3, 1/4, 1
Let m(n) = 3*n**4 + 3*n**3 + 3*n**2 - 15*n + 6. Let y(v) = -v**4 + v**3 - v**2 + v. Let j(i) = -m(i) - 6*y(i). Factor j(l).
3*(l - 2)*(l - 1)**2*(l + 1)
Let u(y) = 2*y**4 + 6*y**3 - 7*y. Let r(s) = -5*s**4 - 17*s**3 + 20*s. Let n(g) = -3*r(g) - 8*u(g). Factor n(x).
-x*(x - 2)**2*(x + 1)
Let b(r) be the first derivative of -2/7*r**4 + 1 + 2/35*r**5 + 2/21*r**6 + 2/7*r + 2/7*r**2 - 4/21*r**3. Determine l so that b(l) = 0.
-1, -1/2, 1
Let a(c) = c**2 + 11*c + 4. Let k(n) be the first derivative of n**3/3 + 6*n**2 + 3*n - 1. Let v(u) = -6*a(u) + 5*k(u). Find z such that v(z) = 0.
-3
Let 0 + 0*y - 2/11*y**3 + 4/11*y**2 = 0. Calculate y.
0, 2
Let l = 3/385 - -31/55. Factor -2/7*v**2 - l*v + 6/7.
-2*(v - 1)*(v + 3)/7
Let i(p) = -8*p**2 - 12*p - 18. Let r(t) = 7*t**2 + 12*t + 18. Let u(q) = 5*i(q) + 6*r(q). Factor u(b).
2*(b + 3)**2
Let o(p) be the second derivative of p**8/112 - 4*p**7/105 + p**6/20 - p**4/24 - p**2/2 - 3*p. Let s(z) be the first derivative of o(z). Factor s(c).
c*(c - 1)**3*(3*c + 1)
Let q(y) be the third derivative of 0 + 1/60*y**5 + 5*y**2 + 0*y + 1/12*y**4 + 1/6*y**3. Factor q(u).
(u + 1)**2
Solve 5/6*d + 1/6*d**4 + 7/6*d**3 + 11/6*d**2 + 0 = 0.
-5, -1, 0
Let b(y) be the third derivative of y**5/510 - y**3/51 - 12*y**2. Factor b(s).
2*(s - 1)*(s + 1)/17
Let q(s) = -204*s**3 + 420*s**2 - 147*s - 42. Let y(l) = 29*l**3 - 60*l**2 + 21*l + 6. Let r(a) = -4*q(a) - 27*y(a). Suppose r(j) = 0. What is j?
-2/11, 1
Factor 7*p + 34*p**3 - 14*p**3 - 18*p**3 + 9*p + 18*p**2.
2*p*(p + 1)*(p + 8)
Let 3/7*r**2 + 0 + 30/7*r = 0. Calculate r.
-10, 0
Let q = -787679/360 - -2188. Let u(t) be the third derivative of q*t**6 + 0*t + 1/90*t**5 + 0 + 1/72*t**4 + 2*t**2 + 0*t**3. Let u(f) = 0. Calculate f.
-1, 0
Let v(s) be the first derivative of -s**4 - 8*s**3/3 + 6. Factor v(d).
-4*d**2*(d + 2)
Let k(o) be the third derivative of o**5/180 + o**4/24 - 12*o**2. Factor k(m).
m*(m + 3)/3
Let 1/3*j + 1/3*j**3 + 2/3*j**2 + 0 = 0. What is j?
-1, 0
Let v(r) be the third derivative of r**7/588 + r**6/2520 - r**5/210 + r**4/12 - 3*r**2. Let b(d) be the second derivative of v(d). Let b(y) = 0. What is y?
-2/5, 1/3
Let u(a) = 5*a**3 - 7*a**2 - 19*a + 7. Let c(l) = -2*l**3 + 2*l**2 + 6*l - 2. Let o(z) = 7*c(z) + 2*u(z). Factor o(k).
-4*k*(k - 1)*(k + 1)
Solve -5/4*z**2 + 0 - 15/4*z**3 + 0*z - 5/4*z**5 - 15/4*z**4 = 0.
-1, 0
Let y(p) be the second derivative of 1/60*p**5 - 6*p - 1/72*p**4 - 1/180*p**6 + 0*p**2 + 0 + 0*p**3. Factor y(g).
-g**2*(g - 1)**2/6
Let v(z) be the first derivative of z**6/105 + z**5/35 + z**4/42 - 6*z - 2. Let y(d) be the first derivative of v(d). Let y(a) = 0. Calculate a.
-1, 0
Let q be 4*(-2)/(-4)*27/18. Determine g, given that 1/2*g**2 + 3/2*g**q - g + 0 - 1/2*g**4 - 1/2*g**5 = 0.
-2, -1, 0, 1
Let r be ((7 + -7)/(-1 - 1))/3. Let t(m) be the second derivative of 4*m - 9/20*m**5 - 1/6*m**4 + 0 + 0*m**2 + r*m**3 - 7/30*m**6. Solve t(q) = 0 for q.
-1, -2/7, 0
Let c(j) be the third derivative of 1/420*j**5 + 0 + 0*j**3 - 1/84*j**4 + 0*j + 6*j**2. Factor c(m).
m*(m - 2)/7
Let a(l) be the third derivative of 121*l**6/1080 - 77*l**5/540 - 5*l**4/27 - 2*l**3/27 - 8*l**2. Determine n, given that a(n) = 0.
-2/11, 1
Let -8/7 + 4/7*s - 4/7*s**3 + 8/7*s**2 = 0. What is s?
-1, 1, 2
Let l(s) be the second derivative of -s**4/6 + 2*s**3/3 + 3*s. Factor l(n).
-2*n*(n - 2)
Let y(l) = 3*l**2 + l - 2. Let g be y(1). Let v(b) be the second derivative of 0 - 2*b**g - 1/3*b**3 + 3*b + 1/6*b**4. Factor v(s).
2*(s - 2)*(s + 1)
Let b be 0 + -3 - (4 + -7). Factor -3*d + b*d**3 - 2*d**3 - 2 - 3*d - 6*d**2.
-2*(d + 1)**3
Suppose 65*z - 123*z + 4*z**2 + 58*z = 0. Calculate z.
0
Suppose -9 = -p + 3*q, -2*q = 3*p + q + 9. Suppose -3/2*k**3 + 0 - 3/2*k**4 + p*k**2 + 0*k = 0. What is k?
-1, 0
Suppose 17 - 146 - 3*u**2 + 54*u + 0*u - 114 = 0. Calculate u.
9
Suppose -3*q = -3, -q - 4 = 2*s - 25. Let g be ((-12)/(-15))/(2/s). Let 4*f**2 + 2*f**3 + 1 - 3*f**3 - 1 - g*f = 0. What is f?
0, 2
Let l(k) be the first derivative of k**5/15 - k**4/6 - k**3/9 + k**2/3 + 1. Let l(a) = 0. What is a?
-1, 0, 1, 2
Suppose -3*d - 5*u + 60 = 0, 3*u + 6 + 3 = 0. Let s = d - 49/2. Let -s*m**3 + 1/4*m**2 + 1/4*m**4 + 0 + 0*m = 0. Calculate m.
0, 1
Let x(q) = -5*q**2 - 52*q - 125. Let w(d) = d. Let m(o) = 2*w(o) + x(o). Solve m(c) = 0.
-5
Suppose -i = -6*r + 3*r - 3, -2*r = -3*i + 9. Suppose 3/2*a**3 - 3/2*a - i*a**2 + 3 = 0. Calculate a.
-1, 1, 2
Let t be -2 - (2 + (-2 - -1)). Let g(u) = -u**3 - 2*u**2 + u - 4. Let n be g(t). Solve 2/3*v + 0 - 2*v**2 + 2/3*v**3 + n*v**4 - 4/3*v**5 = 0.
-1, 0, 1/2, 1
Suppose 11 = -q - 0*q + 2*z, -5*q = 2*z + 19. Let x be (1 - 1)/(4 + q). Factor x*h**2 + 0 + 1/2*h - 1/2*h**3.
-h*(h - 1)*(h + 1)/2
Suppose 16 = 3*z + 10. Let m(b) be the first derivative of 1/6*b**z + 2/3*b + 4 - 1/9*b**3. Find x such that m(x) = 0.
-1, 2
Suppose 2*r - 5*r + 6 = 0. Let u(k) be the first derivative of 0*k**2 - 7/25*k**5 + r + 2/15*k**6 + 0*k + 1/15*k**3 + 1/10*k**4. Factor u(j).
j**2*(j - 1)**2*(4*j + 1)/5
Suppose 3*u = 15 - 6. Factor 4*i**2 - i + 2*i - u*i**2.
i*(i + 1)
Suppose -3 = -5*n + 12. Let 4*f**2 - 2*f**n + 0*f**3 - 5 + 5 - 2*f = 0. Calculate f.
0, 1
Let p(c) be the first derivative of -c**5/10 + 5*c**4/8 - 4*c**3/3 + c**2 + 14. Find n such that p(n) = 0.
0, 1, 2
Let c(d) be the second derivative of d**2 - 1/300*d**6 + 0*d**5 + d + 0 + 1/60*d**4 + 0*d**3. Let j(h) be the first derivative of c(h). Solve j(y) = 0.
-1, 0, 1
Let q(a) = 6*a**2 - 5*a - 1. Let p = 5 + -10. Let v(d) = -d**2 + d. Let y(r) = p*v(r) - q(r). Factor y(b).
-(b - 1)*(b + 1)
Suppose -4*q = -2*a - 56, 13 = -4*a - 3. Let l be (-48)/18*(-1)/q. Factor -l*m + 0 - 2/9*m**2.
-2*m*(m + 1)/9
Let i be -3*3/(-6)*2. Let r(b) be the first derivative of i*b**3 + 1 + b**3 - 5*b**3. Factor r(z).
-3*z**2
Let p(f) be the first derivative of f**5/5 + f**4 + 4*f**3/3 + 3. Solve p(t) = 0 for t.
-2, 0
Suppose 3*v - v + 14 = 0. Let o be (-1)/(9/(v - -4)). Determine j, given that -1/3*j**2 - 2/3*j - o = 0.
-1
Let o(l) be the first derivative of -4*l**5/15 - l**4/3 + 4*l**3/9 + 2*l**2/3 + 24. Factor o(m).
-4*m*(m - 1)*(m + 1)**2/3
Let i = 8 + -5. Let r(z) be the third derivative of -1/240*z**6 - 1/24*z**i + 1/336*z**8 - z**2 + 0*z + 1/30*z**5 - 1/120*z**7 + 0 - 1/48*z**4. Solve r(f) = 0.
-1, -1/4, 1
Let m be 3 + 1 - (5 + 3/(-2)). Factor 0 + 1/2*f**3 + 0*f + m*f**2.
f**2*(f + 1)/2
Let c(k) be the second derivative of 0*k**6 - 1/36*k**3 + 0*k**2 + 1/60*k**5 - 3*k + 0 - 1/252*k**7 + 0*k**4. Find v, given that c(v) = 0.
-1, 0, 1
Let s(b) = -5*b**3 + 4*b**3 - b**2 - 11 + b**3 + 17*b - 5*b**3. Let a(r) = -3*r**3 + 9*r - 6. Let z(o) = 7*a(o) - 4*s(o). Factor z(c).
-(c - 2)*(c - 1)**2
Let -4 - 9*q + 0 + 25*q - 13*q + q**2 = 0. What is q?
-4, 1
Let n(s) = -100*s**4 - 440*s**3 - 496*s**2 - 232*s - 76. Let m(o) = -9*o**4 - 40*o**3 - 45*o**2 - 21*o - 7. Let r(b) = -32*m(b) + 3*n(b). Factor r(l).
-4*(l + 1)**3*(3*l + 1)
Let i(k) be the first derivative of -3 - 4/3*k**3 + 4*k**2 + 0*k. Suppose i(j) = 0. What is j?
0, 2
Let l(p) be the third derivative of -p**6/60 - 2*p**5/15 - 5*p**4/12 - 2*p**3/3 + 11*p**2. Determine h so that l(h) = 0.
-2, -1
Let s be (3 - 3)/(3/(9/6)). Let p(b) be the second deriv