 9*u**2 + 12*u. Let y(v) = 0. What is v?
-2, 1, 3, 5
Let u(w) be the first derivative of 1/4*w**2 + 24 - 1/6*w**3 + 0*w. Factor u(v).
-v*(v - 1)/2
Let y = 4 + -2. Suppose 3*s = -y*b + 12, -5*s + 3*b - 1 = -2. Factor -3/2*n**s + 2 + 1/2*n**3 + 0*n.
(n - 2)**2*(n + 1)/2
Let r be ((-18)/15)/((-2)/5). Factor 2*o + 4*o**4 - 4 - 8*o**4 - 30*o**r - 26*o - 3*o**4 - 43*o**2.
-(o + 1)**2*(o + 2)*(7*o + 2)
Factor 10952/5 + 296/5*r + 2/5*r**2.
2*(r + 74)**2/5
Let j be (-5 + 8)*12/9. Determine t, given that 188*t**5 - t**j - 3*t**4 - 184*t**5 = 0.
0, 1
Let k = 705680/51 - 13836. Let u = k - 9/17. Factor 0 + 1/3*r**2 - u*r.
r*(r - 1)/3
Let k(g) be the second derivative of 7*g**6/345 - 6*g**5/115 - 24*g**4/23 - 208*g**3/69 - 48*g**2/23 + 35*g - 2. Find u, given that k(u) = 0.
-2, -2/7, 6
Let d(q) = 12*q**2 + 48*q + 30. Let k(p) = -p**3 - 13*p**2 - 50*p - 29. Let z(w) = -3*d(w) - 2*k(w). Factor z(s).
2*(s - 8)*(s + 1)*(s + 2)
Let a(m) be the third derivative of -13*m**2 + 0*m**3 - 1/24*m**4 + 0 + 1/40*m**5 - 1/240*m**6 + 0*m. Solve a(y) = 0.
0, 1, 2
Solve -1/3*c**4 + 0 + 1/3*c**2 - c + c**3 = 0 for c.
-1, 0, 1, 3
Let c(f) be the third derivative of f**6/40 - 24*f**5/5 + 384*f**4 - 16384*f**3 - 2*f**2 - 126*f. Factor c(b).
3*(b - 32)**3
Suppose 2*o - 53 = -57. Let b be -2*(-8)/(-20) - o. Factor -2/5 + b*u**4 + 2/5*u**5 + 4/5*u**3 - 4/5*u**2 - 6/5*u.
2*(u - 1)*(u + 1)**4/5
Factor -3 - 19/2*x + 7/2*x**2.
(x - 3)*(7*x + 2)/2
Let u(p) be the third derivative of p**8/1512 - 8*p**7/63 + 80*p**6/9 - 6400*p**5/27 + 10*p**2 - 3*p. Let u(k) = 0. What is k?
0, 40
Let j(d) be the third derivative of 0*d + 4*d**2 - 1/24*d**4 + 0*d**3 + 0 + 1/120*d**6 + 0*d**5. Determine h, given that j(h) = 0.
-1, 0, 1
Let j(w) = 2*w - 9. Let r be j(7). Suppose 12 = -h + r*h. Factor 7*z + 2 + 8*z**2 + 2*z**3 - z**3 + 2*z**h.
(z + 1)**2*(3*z + 2)
Find i, given that 6/7*i**4 - 60/7*i**2 + 3*i**3 + 0 - 3/7*i**5 + 36/7*i = 0.
-3, 0, 1, 2
Let k(c) be the second derivative of 0 + 1/12*c**4 + 0*c**3 + 1/42*c**7 + 3/20*c**5 + 9*c + 0*c**2 + 1/10*c**6. Factor k(d).
d**2*(d + 1)**3
Let r(o) be the third derivative of -o**7/840 - o**6/24 + 7*o**5/80 + o**2 + 47*o. Solve r(u) = 0.
-21, 0, 1
Let f be ((-168)/(-54) - 3)*(-12)/(-1). Let y = 5/3 - 1. Let y + 1/3*a**3 + f*a**2 + 5/3*a = 0. Calculate a.
-2, -1
Suppose 4*f - 74 = -2*h, -45 = -f - 2*f + 2*h. Suppose -2*i = -3*b - f, i + i + b = 5. Factor -24/5*j**i + 0 + 24/5*j**2 - 8/5*j - 8/5*j**5 - 2/5*j**3.
-2*j*(j + 2)**2*(2*j - 1)**2/5
Let t(s) = -8*s**2 + 11*s + 9. Let x(k) = -9*k**2 + 13*k + 10. Let v(o) = -7*t(o) + 6*x(o). Factor v(c).
(c - 1)*(2*c + 3)
Let b(o) be the first derivative of -47/15*o**3 + 5 - 29/5*o**2 - 1/4*o**4 - 16/5*o. Find j, given that b(j) = 0.
-8, -1, -2/5
Find r such that -154/3*r - 1/3*r**2 - 5929/3 = 0.
-77
Let u be (28/(-8) - -3) + (-549)/(-6). Solve 4*c + 2*c**2 + 91 - u = 0 for c.
-2, 0
Let o(t) be the first derivative of -t**5/150 - t**4/30 - t**3/15 + 7*t**2/2 - 5. Let y(a) be the second derivative of o(a). Suppose y(l) = 0. What is l?
-1
Suppose 0 = 5*l - 38 - 12. Suppose l*b = -55 + 65. Let 3/2*t - 3/2*t**3 - 1/2*t**2 + b - 1/2*t**4 = 0. Calculate t.
-2, -1, 1
Factor -24 + 17/2*o**3 - 1/2*o**4 + 50*o - 34*o**2.
-(o - 12)*(o - 2)**2*(o - 1)/2
Let m(q) be the first derivative of -q**6/10 + 9*q**5/10 - 3*q**4 + 4*q**3 + 32*q - 12. Let x(c) be the first derivative of m(c). Let x(v) = 0. What is v?
0, 2
Suppose -139*y = -118*y - 126. Factor -18*q + 0 + 18*q**2 + 2/3*q**4 - y*q**3.
2*q*(q - 3)**3/3
Let n(d) be the first derivative of 1/3*d**3 + 0*d + 1 + 1/30*d**5 + 5/2*d**2 + 1/6*d**4. Let u(j) be the second derivative of n(j). Factor u(o).
2*(o + 1)**2
Let d(r) = -13*r + 6. Let y be d(-3). Let b be (-6)/y - (-896)/120. Factor 2/3*s**5 - 8*s - 4*s**4 + 16/3 - 4/3*s**2 + b*s**3.
2*(s - 2)**3*(s - 1)*(s + 1)/3
Let w(h) = 145*h**2 - 1500*h + 4995. Let a(m) = -m**3 + 146*m**2 - 1500*m + 4996. Let t(u) = -5*a(u) + 4*w(u). Factor t(i).
5*(i - 10)**3
Let y(r) be the third derivative of -r**8/1960 - r**7/420 + r**6/210 + 2*r**3 - 36*r**2. Let l(o) be the first derivative of y(o). Find g, given that l(g) = 0.
-3, 0, 2/3
Let t(f) be the third derivative of -f**7/1260 - f**6/720 + f**5/120 + f**4/144 - f**3/18 + 11*f**2 - 5*f. Let t(c) = 0. What is c?
-2, -1, 1
Let 0 - 1/9*f**4 - 1/3*f**3 + 1/9*f**2 + 1/3*f = 0. What is f?
-3, -1, 0, 1
Determine r, given that -32*r + 11*r**3 - 6*r**3 + 36*r - 20*r**2 - 59*r - 30 = 0.
-1, 6
Let y = -2/3611 + 3767/281658. Let i(l) be the second derivative of 0 - y*l**4 - 4*l - 2/13*l**2 + 1/13*l**3. Determine o so that i(o) = 0.
1, 2
Let t(s) = s**2 - 30*s - 14. Let b be t(13). Let w be 6/(-5)*b/752. Factor -3/4*x**3 + w*x**2 + 0*x + 0.
-3*x**2*(2*x - 1)/8
Let m = -7 + -78. Let g = m - -85. Factor 3/2*l**2 + g*l**3 - 1/2*l**4 + 0 - l.
-l*(l - 1)**2*(l + 2)/2
Let w(i) be the first derivative of -i**4/48 + i**3/3 - 29*i - 35. Let q(c) be the first derivative of w(c). Factor q(d).
-d*(d - 8)/4
Let m(o) be the first derivative of -2*o**5/45 - o**4/18 + 4*o**3/27 + 297. Factor m(i).
-2*i**2*(i - 1)*(i + 2)/9
Let y be 9/3 - (-3)/(-54)*-26. Let s = 169/36 - y. Factor -1/2*k**2 - 1/4*k**5 - 1/4*k + 1/2*k**3 + 1/4 + s*k**4.
-(k - 1)**3*(k + 1)**2/4
Let c(b) = -9*b**2 + b - 1. Let i be c(1). Let o(j) = 4*j**2 + 7*j. Let a(q) = q**2 + 2*q. Let h(f) = i*a(f) + 2*o(f). Solve h(l) = 0 for l.
-4, 0
Factor 2342*d**4 - 90*d**2 - 9092*d**4 - 258*d**3 + 20544*d - 20546*d - 1092*d**3.
-2*d*(15*d + 1)**3
Let j = 4/37 - -95/148. Let i(u) be the second derivative of 0 + 3/20*u**5 + 3/2*u**2 - 3*u + 3/2*u**3 + j*u**4. Factor i(t).
3*(t + 1)**3
Let u(f) be the first derivative of -11 + 0*f**2 + 0*f**3 + 1/10*f**4 + 4/25*f**5 + 0*f + 1/15*f**6. Factor u(j).
2*j**3*(j + 1)**2/5
Suppose 204 = -2*s - 2*s + l, -4*s = 5*l + 204. Let g = 53 + s. Factor g*z**2 - 2*z - 1/2*z**3 + 0.
-z*(z - 2)**2/2
Let x be (30/(-18) + 3)*(-6)/(-16). Let t(u) be the first derivative of x*u**2 + 4 - 1/9*u**3 + 0*u. Solve t(a) = 0.
0, 3
Find m, given that -2465*m + 1/4*m**4 + 113/4*m**3 + 1509/2*m**2 + 1682 = 0.
-58, 1, 2
Factor -3*g**2 - g**3 - 150 - g**3 - 18*g + 28*g + 17*g**2.
-2*(g - 5)**2*(g + 3)
Let q(c) be the third derivative of c**7/5670 + c**6/810 + c**5/270 + 5*c**4/12 + 27*c**2. Let i(w) be the second derivative of q(w). Let i(d) = 0. Calculate d.
-1
Let l(m) = m**3 + 8*m**2 + 8*m - 4. Let j be l(-6). Factor -24*t**2 - 26 - j*t + 34 - 4*t**2.
-4*(t + 1)*(7*t - 2)
Let y(o) be the second derivative of -o**6/15 + 22*o**5/35 + 37*o**4/42 - 2*o**3/3 - 13*o. Solve y(a) = 0.
-1, 0, 2/7, 7
Determine l, given that 96/5*l + 3/5*l**3 - 12 - 39/5*l**2 = 0.
1, 2, 10
Let i be (-33)/(-9) + (-4)/6. Let p(q) = -q**2 + 6*q - 3. Let y be p(i). Factor -2*r**2 - r - y*r**2 + 5*r**2 + 7*r.
-3*r*(r - 2)
Let d be (8/(-36))/(1/((630/(-7))/5)). Factor 3/2*n**2 - 3/2*n**3 + n - n**d + 0.
-n*(n - 1)*(n + 2)*(2*n + 1)/2
Let m(o) be the second derivative of -o**6/15 - 3*o**5/10 - o**4/2 - o**3/3 + 109*o. Factor m(l).
-2*l*(l + 1)**3
Let y(t) be the third derivative of 1/6*t**6 + 2/35*t**7 + 0*t**4 + 0*t**3 + 0 + 2*t**2 + 2/15*t**5 + 0*t. Find d, given that y(d) = 0.
-1, -2/3, 0
Let x(h) be the first derivative of 4/9*h**3 + 1/18*h**4 - 1/3*h**2 - 5*h - 6 - 2/15*h**5. Let c(b) be the first derivative of x(b). Factor c(u).
-2*(u - 1)*(u + 1)*(4*u - 1)/3
Let h = 58 + -61. Let q be 2*(-4)/32*h. Factor -q - a - 1/4*a**2.
-(a + 1)*(a + 3)/4
Let x(j) = -j**3 - j**2 + 1. Let q(y) = -4*y**2 - y + 4. Let u(c) = q(c) - x(c). Factor u(p).
(p - 3)*(p - 1)*(p + 1)
Let l(v) = 5*v**2 - 5*v. Let b(d) = d**3 + 4*d**2 - 3*d + 7. Let w be b(-5). Let u(c) = 14*c**2 - 14*c. Let m(n) = w*u(n) + 8*l(n). Factor m(s).
-2*s*(s - 1)
Suppose 45 + 15 = -3*h. Let x = h - -23. Factor -3*j**3 + 18*j - 6*j + j**2 - 9*j**2 - j**x.
-4*j*(j - 1)*(j + 3)
Let j(s) be the third derivative of 1/84*s**7 + 0*s + 0*s**4 - 1/672*s**8 + 0 + 1/40*s**5 - 7/240*s**6 + 0*s**3 + 13*s**2. Determine a so that j(a) = 0.
0, 1, 3
Let v(o) be the first derivative of 3*o**4/28 - 6*o**3/7 - 45*o**2/14 - 24*o/7 - 46. Factor v(t).
3*(t - 8)*(t + 1)**2/7
Let p(i) be the first derivative of -i**5/5 + i**4/2 + i**3/3 - i**2 - 50. Find o, given that p(o) = 0.
-1, 0, 1, 2
Factor 256*f**3 + 16273*f**4 + 5*f**5 + 316*f + 88 + 424*f**