 2/11*p**4 + 0*p**2 = 0.
-1, 1
Let w(m) = 30*m**3 - 80*m**2 + 26*m. Let d(n) = 14*n**3 - 40*n**2 + 12*n. Let k(x) = -13*d(x) + 6*w(x). Factor k(v).
-2*v**2*(v - 20)
Let k(h) be the first derivative of -384*h**3/7 + 48*h**2/7 - 2*h/7 + 43. Factor k(y).
-2*(24*y - 1)**2/7
Let b = 12 + -9. Suppose 0 = b*t + 3*h, -1 = 3*t - t + 3*h. Factor 6*q + 8*q**2 + t + 3 + 2*q**3 + 4*q.
2*(q + 1)**2*(q + 2)
Factor 3/2*p**2 + 27075/2 - 285*p.
3*(p - 95)**2/2
Suppose 6 = f + 2*l, 2*l = 2*f - 15 + 9. Let h(t) be the third derivative of -1/108*t**f - 1/135*t**5 + 0*t - 4*t**2 + 0 + 1/540*t**6 + 2/27*t**3. Factor h(z).
2*(z - 2)*(z - 1)*(z + 1)/9
Let c(f) be the third derivative of -f**5/450 - f**4/45 + 80*f**2. Factor c(q).
-2*q*(q + 4)/15
Let o(s) be the first derivative of -2 + 1/96*s**4 - 1/480*s**5 + 9/2*s**2 + 0*s - 1/48*s**3. Let q(r) be the second derivative of o(r). What is x in q(x) = 0?
1
Let k be (-152)/(-36) - 24/108. Let d(o) be the third derivative of -9*o**2 - 1/30*o**5 + 0 + 0*o + 0*o**3 - 1/6*o**k. Find x such that d(x) = 0.
-2, 0
Let o(h) be the first derivative of h**3/33 - 37*h**2/11 - 75*h/11 - 282. Suppose o(y) = 0. Calculate y.
-1, 75
Let j = 24 + -21. Suppose 3*w = -4*b - 23, 4*w - 12 = j*b - 1. Let l(y) = -y. Let v(c) = 45*c**2 + 65*c + 20. Let n(f) = w*v(f) - 5*l(f). Factor n(p).
-5*(3*p + 2)**2
Let y(c) be the first derivative of 5/2*c**4 + 4*c**3 + c**2 - 17 + 0*c. Find b, given that y(b) = 0.
-1, -1/5, 0
Determine p, given that 98/9*p**2 - 28/9*p**3 + 2/9*p**4 + 0 + 0*p = 0.
0, 7
Let p(c) be the second derivative of -c**5/80 - 3*c**4/16 - 13*c**3/12 - 3*c**2 + 14*c - 3. Find b such that p(b) = 0.
-4, -3, -2
Solve -1/2*h**5 - 16*h**3 - 5*h**4 + 0 + 0*h - 16*h**2 = 0.
-4, -2, 0
Suppose -70*n = 45*n. Solve 0 - 6/7*i**4 + 3/7*i**5 + 0*i**2 + n*i + 3/7*i**3 = 0 for i.
0, 1
Suppose 56*x**2 - 345*x - 7*x**2 - 249*x**2 - 80*x**4 - 165*x**2 - 50 + 840*x**3 = 0. Calculate x.
-1/4, 1, 10
Let u(d) be the second derivative of d**7/84 + d**6/20 - d**5/40 - d**4/8 + 775*d. Let u(g) = 0. Calculate g.
-3, -1, 0, 1
Let t(q) be the second derivative of q**8/2240 - q**7/840 + 7*q**4/4 - 3*q - 3. Let s(a) be the third derivative of t(a). What is f in s(f) = 0?
0, 1
Suppose -y - 16 = -37. Determine c, given that -4*c**2 - 10 + 1 + y + 8*c = 0.
-1, 3
Suppose -24*l**4 + 6*l**3 + 12*l**4 + 9*l**4 = 0. Calculate l.
0, 2
Let q(l) be the second derivative of -2/21*l**4 + 30*l - 2/7*l**2 + 3/7*l**3 + 0. Suppose q(p) = 0. Calculate p.
1/4, 2
Suppose 34*n - 130 = 8*n. Let c be (-2*(-3)/(-2))/(-1). Determine k, given that -3*k**2 + c*k**n - 2*k**3 + 7*k**4 - k**3 - k**4 - 3*k**4 = 0.
-1, 0, 1
Let f = 117 - 66. Let r be 17/f + (-1)/9. Factor r*l**2 - 2/3*l + 0.
2*l*(l - 3)/9
Let v(y) be the second derivative of 0*y**3 - 1/8*y**4 + 0 - 12*y + 0*y**5 + 0*y**2 + 1/20*y**6. Let v(i) = 0. Calculate i.
-1, 0, 1
Let v(o) be the third derivative of -1/210*o**7 - 5*o**2 + 7/120*o**6 + 13/24*o**4 - 2/3*o**3 - 1/4*o**5 + 0*o + 0. Factor v(z).
-(z - 4)*(z - 1)**3
Factor -2/7*p**3 + 4*p**2 - 50/7*p + 24/7.
-2*(p - 12)*(p - 1)**2/7
Let m(c) be the first derivative of c**8/1848 - c**6/220 - c**5/165 + 17*c**2/2 + 29. Let o(y) be the second derivative of m(y). Factor o(w).
2*w**2*(w - 2)*(w + 1)**2/11
Let a = 41 - 29. Solve 146*l**4 - 143*l**4 + a*l**3 + 0*l**2 + 9*l**2 = 0 for l.
-3, -1, 0
Factor -w**4 + 56*w**2 - 5*w**2 - 7 + 11*w**3 + 4*w**3 + 25 + 8*w + 45*w.
-(w - 18)*(w + 1)**3
Suppose -2*o - 14 = -5*f, 0 = 13*f - 11*f + o - 2. Let i be (-2)/1 - 28/(-8). Factor -i*r**f + 3/2*r**4 + 0*r**3 + 0 + 0*r.
3*r**2*(r - 1)*(r + 1)/2
Let l(h) be the second derivative of 1/6*h**4 + 0 + 6*h**3 + 6*h + 81*h**2. Factor l(o).
2*(o + 9)**2
Let p(d) be the first derivative of -2*d**3/15 + 2*d**2/5 - 2*d/5 + 60. Determine g, given that p(g) = 0.
1
Factor 2*n + 1212 - 1212 - 4*n**3 + 2*n**5.
2*n*(n - 1)**2*(n + 1)**2
Suppose o + 1 = 6. Suppose -z + 3*f = 2 + 1, -5*f = -4*z - o. Factor 0 + 1/5*c**3 + z*c**2 + 0*c - 1/5*c**4.
-c**3*(c - 1)/5
Let x(s) be the third derivative of s**6/300 - s**5/75 - 120*s**2 + 2. Solve x(v) = 0.
0, 2
Suppose 4*j + 5*o + 134 = 0, 0 = -2*o + 5*o - 6. Let q = j + 182/5. Factor -1/5*n**4 - 4/5*n + q*n**3 + 3/5*n**2 - 4/5.
-(n - 2)**2*(n + 1)**2/5
Let k be (-10)/(-6) - 2/(-6). Let u(p) = -4*p**2 - 28*p + 3. Let h be u(-7). Factor -2*r - h*r**4 + 2*r**k + 3*r**4 + 2*r**3 + 4*r**4 - 6*r**4.
-2*r*(r - 1)**2*(r + 1)
Let 8/3*o**2 + 0 - 2*o**3 + 8*o - 2/3*o**4 = 0. Calculate o.
-3, -2, 0, 2
Suppose 4 = -4*x + 3*j + 43, 5*j = -2*x - 13. Let z be 1/1*x + -3. Factor -2/7*v**z + 2/7*v**2 - 2/7 + 2/7*v.
-2*(v - 1)**2*(v + 1)/7
Let v(b) be the first derivative of 4*b**3/3 + 152*b**2 + 5776*b - 49. What is a in v(a) = 0?
-38
Let n = -2439/20 - -122. Let s(m) be the third derivative of 0 + 6*m**2 - n*m**5 + 0*m - 3/40*m**4 + 1/5*m**3. Factor s(p).
-3*(p + 1)*(5*p - 2)/5
Let m(s) = -2*s**3 + 4*s**2 - 8*s - 14. Let r(a) = -2*a**3 + 6*a**2 - 8*a - 16. Let d(g) = -4*m(g) + 5*r(g). Solve d(p) = 0 for p.
-1, 2, 6
Determine g so that 8/19*g**4 - 24/19*g**2 + 4/19*g**3 - 18/19*g + 0 - 2/19*g**5 = 0.
-1, 0, 3
Let q = -5 - 9. Let x = q - -17. Factor x*d**4 - 11*d**2 + d**3 + 5*d**2 - 2*d + d**3 + 3*d**4.
2*d*(d - 1)*(d + 1)*(3*d + 1)
Let t be 1*16/(-3) - (0 + -10). Factor 4 - 38/3*q - t*q**2.
-2*(q + 3)*(7*q - 2)/3
Let v(c) = c**3 + 7*c**2 + 6*c + 3. Let u be v(-6). Factor r**2 + u*r**2 + 4*r - 4*r**2 - 4*r**2.
-4*r*(r - 1)
Let y(m) be the second derivative of 9/8*m**2 - 3/8*m**3 + 1/24*m**4 + 0 + 34*m. Solve y(h) = 0.
3/2, 3
Let c(y) be the second derivative of y**4/18 + 8*y**3/9 + 5*y**2 + 249*y. Factor c(t).
2*(t + 3)*(t + 5)/3
Find s such that -12*s**2 - 18/7*s**3 + 136/7*s - 48/7 = 0.
-6, 2/3
Let j = -785 + 787. Let k(d) be the first derivative of 16/45*d**3 + 1/30*d**4 + 16/15*d**j + 5 + 0*d. Factor k(n).
2*n*(n + 4)**2/15
Let o be 28/(-35)*(-15)/6. Let s be (12/(-15))/(((-176)/20)/o). Factor 2/11*t + s*t**2 - 4/11.
2*(t - 1)*(t + 2)/11
Determine y, given that -26*y**3 + 24*y**3 - 29 - 7 - 16*y**2 - 42*y = 0.
-3, -2
Let a = 427 + -17079/40. Let v(n) be the second derivative of -1/4*n**3 + a*n**5 + 0 - 1/2*n**2 + 0*n**4 - n. Determine c so that v(c) = 0.
-1, 2
Let q(d) be the second derivative of d**5/12 - 5*d**4/24 + 11*d**2/2 + 2*d. Let u(i) be the first derivative of q(i). Suppose u(c) = 0. What is c?
0, 1
Let v(i) be the first derivative of -9 - 8/21*i**3 - 1/7*i**4 + 0*i - 2/7*i**2. Factor v(k).
-4*k*(k + 1)**2/7
Let p be 1 + -1 - 6/(-2). Find j, given that j**4 + 2*j**4 + 3 - 6*j**2 - 6*j**3 + 3*j**5 - p*j + 6*j = 0.
-1, 1
Let y(d) be the third derivative of d**8/168 + d**7/105 - 7*d**6/30 - 4*d**5/5 + 7*d**2 - 14. Suppose y(z) = 0. Calculate z.
-3, -2, 0, 4
Let t = 11 - 27. Let w be (-38)/(-4) - (-8)/t. Find l, given that 7*l**2 + 1 - 4*l**2 + w*l + 5 = 0.
-2, -1
Let j(n) be the third derivative of -1/48*n**5 + 22*n**2 - 1/96*n**4 + 1/480*n**6 + 0 + 0*n + 5/24*n**3. Factor j(v).
(v - 5)*(v - 1)*(v + 1)/4
Let b(j) be the third derivative of 16*j**2 + 0 + 0*j**3 + 1/150*j**5 + 0*j - 1/20*j**4. Factor b(k).
2*k*(k - 3)/5
Let h(a) be the first derivative of 4*a**5/35 - 45*a**4/7 + 328*a**3/7 - 136*a**2 + 1248*a/7 + 454. Solve h(v) = 0.
2, 39
Suppose -2*c - 4*p = -0*p + 18, -5*c = 3*p + 10. Let w be 14 + -15 + c*3. Let 0 + 2/7*b**w - 4/7*b = 0. What is b?
0, 2
Let x(o) be the second derivative of 5*o**7/42 - 7*o**5/4 + 5*o**4/2 - 126*o. Suppose x(b) = 0. What is b?
-3, 0, 1, 2
Let d(z) = 2*z**2 - 14*z - 12. Let k be d(8). Factor 18 - k*h**3 + 28*h - 12 + 18.
-4*(h - 3)*(h + 1)*(h + 2)
Let m(c) be the second derivative of c**7/14 + c**6/5 - 201*c**5/10 - 265*c**4 - 2675*c**3/2 - 2625*c**2 - 3*c + 116. Determine o so that m(o) = 0.
-5, -1, 14
Let -41/5*q - 1/5*q**2 - 78/5 = 0. What is q?
-39, -2
Let i = 56223/7 - 8031. Let 1/7*w**2 + i*w + 5/7 = 0. Calculate w.
-5, -1
Let d(o) be the first derivative of -8410*o**3/3 + 435*o**2 - 45*o/2 - 527. What is s in d(s) = 0?
3/58
Let j(t) be the first derivative of -3*t**4/28 - 5*t**3 + 54*t**2/7 - 80. Factor j(c).
-3*c*(c - 1)*(c + 36)/7
Factor -47*v**2 - 18*v + 5*v**3 + 108*v - 48*v**2.
5*v*(v - 18)*(v - 1)
Let y = -316 - -326. Factor 9*l**3 - y*l**2 + 4*l + 1/2*l**5 + 0 - 7/2*l**4.
l*(l - 2)**3*(l - 1)/2
Let m(a) be the second derivative of