*s - 4*s**3 + 3*s**3 + 2*s**2 - 3*s**b - 6 - 3*s**2.
-(s - 1)**2*(s + 6)
Let u(m) be the first derivative of -m**6/120 - m**5/60 - 17*m**2/2 + 3. Let x(k) be the second derivative of u(k). Determine s, given that x(s) = 0.
-1, 0
Let d(o) be the third derivative of -o**8/1344 + o**6/160 - o**5/120 + 4*o**2 - 4. Factor d(f).
-f**2*(f - 1)**2*(f + 2)/4
Factor 1/5*p**2 + p - 14/5.
(p - 2)*(p + 7)/5
Suppose -y + 8*y - 28 = 0. Suppose 0 = 4*k, y*l - 3*k = -5 + 17. Factor 6*t**l + 2*t**4 + 3*t**5 - 6*t**3 + 4*t - 9*t**3.
t*(t - 1)**2*(t + 2)*(3*t + 2)
Let u(w) be the third derivative of -4/9*w**4 - 2/315*w**7 + 0*w**3 + 1/45*w**6 - 3*w + 0 + 4/45*w**5 - 2*w**2. Solve u(k) = 0.
-2, 0, 2
Let d(r) be the second derivative of -r**4/12 - 10*r**3/3 - 50*r**2 - 5*r + 9. Factor d(h).
-(h + 10)**2
Let r(h) be the third derivative of 0*h - 3/100*h**5 - 29*h**2 + 0 - 1/5*h**3 - 1/8*h**4. Let r(p) = 0. Calculate p.
-1, -2/3
Suppose -g - 405 = 5*b - 411, 4*g = -4*b - 8. Find p, given that -2/3*p**b + 0 - 2/3*p = 0.
-1, 0
Let a(h) be the third derivative of 1/40*h**5 - 1/2*h**3 + 0 + 1/16*h**4 + 0*h + 7*h**2. Factor a(c).
3*(c - 1)*(c + 2)/2
Factor -2*a + 10*a + 14*a**4 - 6*a**2 + 5*a - 2*a**3 - 12*a**4 - 3*a - 4.
2*(a - 1)**3*(a + 2)
Suppose 4*r - 3 = 13. Suppose -3*v - 6 = -r*v. Find i such that -12*i**3 - 3*i**5 + 9*i + 5*i**5 + i**5 - v*i**2 + 6 = 0.
-1, 1, 2
Suppose x - 5 = -d + 3, -29 = -4*d - x. Factor o**2 - d - 3 - 4*o + 13.
(o - 3)*(o - 1)
Let h(i) = -i**2 - 2*i + 5. Suppose 25*m - 21*m = -12. Let c be h(m). Solve 45/2*y**3 + 81/2*y**4 + c*y - 16*y**2 + 0 = 0 for y.
-1, 0, 2/9
Let t(r) be the third derivative of 0*r**3 - 33*r**2 - 2*r**4 - 8/15*r**5 + 2/105*r**7 + 0 + 0*r + 1/30*r**6. Determine h, given that t(h) = 0.
-2, 0, 3
Let o(i) = -8*i**4 - 28*i**3 - 4*i**2 + 16*i - 12. Let g(b) = b**4 + 2*b**3 - b**2 + 1. Let t(l) = -12*g(l) - o(l). Factor t(j).
-4*j*(j - 2)*(j - 1)*(j + 2)
Let w(g) = -3*g - 7. Let t be w(-4). Let i(x) be the third derivative of -1/40*x**t - 1/3*x**3 + 1/4*x**4 + 0*x + 0 - 1/48*x**6 - 4*x**2. Factor i(a).
-(a - 1)*(a + 2)*(5*a - 2)/2
Suppose 5*f + 19 = -3*k, -3*k + 8*k + 3*f = -5. Suppose 0*s**k - 8*s + 2*s**2 + 18 + 2*s - 6*s = 0. Calculate s.
3
Let b(k) be the second derivative of k**6/90 - 7*k**5/60 + 7*k**4/18 - 4*k**3/9 + 267*k + 2. Factor b(l).
l*(l - 4)*(l - 2)*(l - 1)/3
Let k(b) be the third derivative of -16/5*b**3 + 0*b + 3/50*b**5 + 1/200*b**6 + 31*b**2 + 0 + 0*b**4. Factor k(a).
3*(a - 2)*(a + 4)**2/5
Let s(m) be the second derivative of -m**6/72 - m**5/8 - m**3 - 8*m. Let z(o) be the second derivative of s(o). Solve z(k) = 0.
-3, 0
Let y(g) be the second derivative of 28/3*g**3 - 13/3*g**4 + 0 + 9*g - 3/10*g**5 + 3/5*g**6 - 8*g**2. Determine r so that y(r) = 0.
-2, 2/3, 1
Let s(w) be the third derivative of 1/12*w**3 + 1/480*w**5 + 0*w - w**2 + 0 - 5/192*w**4. Factor s(y).
(y - 4)*(y - 1)/8
Factor -80*y**3 + 140*y**3 - 71*y**3 - y**2 - y**2.
-y**2*(11*y + 2)
Suppose -10 = 2*d + 36. Let u = d + 25. Factor -2*b**3 - b**2 - 2*b - 2*b**2 + 7*b**u.
-2*b*(b - 1)**2
Let r(d) be the first derivative of 0*d - 11 + d**2 - 1/30*d**5 + 4/9*d**3 - 1/24*d**4. Factor r(w).
-w*(w - 3)*(w + 2)**2/6
Let m(h) be the first derivative of -56 - 324*h**2 + 98*h**4 + 108*h - 1372/5*h**5 + 336*h**3. Find a such that m(a) = 0.
-1, 3/7
Find a such that 653256*a**2 - 12*a - 16*a + 29 - 653257*a**2 = 0.
-29, 1
Suppose 5*b + 7 - 27 = 0. Suppose -b*y - 1 = -9. Solve 0*w**2 + 3*w**2 - 5*w**y = 0.
0
Suppose -5*a = -4*r + 65, -a - 45 = -5*r - 2*a. Factor -42*c - r*c**2 - 3*c**3 + 37*c - 2*c**3.
-5*c*(c + 1)**2
Let o = 43119/7 + -6159. Factor 4/7 - 2/7*u**3 + 0*u**2 + o*u.
-2*(u - 2)*(u + 1)**2/7
Let d(a) be the second derivative of -a**5/40 - a**4/12 + 5*a**3/12 + 3*a**2/2 + 195*a. What is f in d(f) = 0?
-3, -1, 2
Let v(b) be the second derivative of b**6/15 + 23*b**5/10 - 13*b**4/3 - 16*b**3 + 2*b - 50. Find h such that v(h) = 0.
-24, -1, 0, 2
Let r(o) be the third derivative of o**6/84 + 17*o**5/70 + 55*o**4/84 + 3*o**3/7 - 95*o**2. Solve r(l) = 0.
-9, -1, -1/5
Factor 46/5*m + 2/5*m**2 - 20.
2*(m - 2)*(m + 25)/5
Let w(z) = 60*z**2 + 44*z + 5. Suppose 3*l - 9 = -33. Let h(o) = 180*o**2 + 132*o + 16. Let x(m) = l*w(m) + 3*h(m). Suppose x(f) = 0. What is f?
-2/5, -1/3
Let s(y) be the third derivative of -y**7/30 - y**6/4 - 29*y**5/60 - y**4/4 + 330*y**2. Solve s(b) = 0.
-3, -1, -2/7, 0
Let z be -2*9/(-2) - 9. Let f(y) be the second derivative of 1/11*y**3 + 1/66*y**4 - 8*y + z + 0*y**2. Let f(c) = 0. What is c?
-3, 0
Let b(v) = -v**3 + 8*v**2 + 40*v - 74. Let k be b(11). Factor -3 - 33/2*m - 57/4*m**2 - 27/8*m**k.
-3*(m + 2)**2*(9*m + 2)/8
Let q(r) be the first derivative of -5*r - 16*r**3 + 14 - 6*r**2 + 0 + 17*r**3 - 10*r. Solve q(f) = 0.
-1, 5
Determine r so that -3*r**3 - 244*r + 10*r**2 - 236*r + 507*r - 42 + 8*r**2 = 0.
-2, 1, 7
Let z be (-38)/14 - (-135)/27. Factor -12/7*x**2 + 0*x + 4/7*x**3 + z.
4*(x - 2)**2*(x + 1)/7
Factor -15/7 + 12/7*i + 3/7*i**2.
3*(i - 1)*(i + 5)/7
Let w(v) = v**4 + v**2 + v - 3. Let z(o) = -o**5 + 2*o**4 - o**3 + 12*o**2 + 6*o - 18. Let g(t) = -6*w(t) + z(t). Factor g(l).
-l**2*(l - 1)*(l + 2)*(l + 3)
Factor -3*s**2 + 4*s + 82*s**3 + 79*s**3 - 160*s**3 - 2*s**2.
s*(s - 4)*(s - 1)
Let t(s) = s**3 - 4*s**2 - 4*s + 3. Let d be t(5). Factor -u**5 + 60*u**4 - 33*u**5 + 22*u**3 - d*u - 24*u**2 - 16*u**5.
-2*u*(u - 1)**2*(5*u + 2)**2
Let h = -244 + -29. Let x be (-36)/h + (-14)/(-91). Solve 0*m + 0 - x*m**2 = 0 for m.
0
Suppose 2*a + 9 = -5*v, -5*a + 12 + 9 = -2*v. Solve 8/3*s**2 + 5/3*s**a - 2/3 + 1/3*s = 0.
-1, 2/5
Suppose -3*c + 14 = 59. Let n = -12 - c. Find z, given that n*z**2 + 0*z**2 - 1 + 0 - 2 = 0.
-1, 1
Let l(a) be the second derivative of 3*a**5/140 - a**4/28 - a**3/14 + 3*a**2/14 - 89*a. Factor l(s).
3*(s - 1)**2*(s + 1)/7
Let i(d) be the second derivative of 1/16*d**4 + 27/8*d**2 + 8*d - 3/4*d**3 + 0. Find n such that i(n) = 0.
3
Let x(n) be the first derivative of -n**5/5 - n**4/12 + 2*n**3/3 + n**2/2 - 6*n + 5. Let g(l) be the first derivative of x(l). Factor g(w).
-(w - 1)*(w + 1)*(4*w + 1)
Factor -1136/7 + 1696/7*a + 12/7*a**2.
4*(a + 142)*(3*a - 2)/7
Let j(v) = v**3 + 48*v**2 - 151*v + 104. Let w be j(-51). Find o such that 1/7*o**w - 1/7 - 1/7*o**3 + 1/7*o = 0.
-1, 1
Find q, given that -10/7*q**2 + 6/7*q**3 + 0 - 4/7*q = 0.
-1/3, 0, 2
Suppose 4*j = z - 124 - 271, 3*j = -z - 305. Let i be ((-8)/(-35))/((-40)/j). Factor 2/7*l**3 - i*l**2 + 0*l + 0.
2*l**2*(l - 2)/7
Factor -1/9*o**3 + 1/3*o**2 - 1/3*o + 1/9.
-(o - 1)**3/9
Let a = 6 + -5. Let m = -1 - -1. Factor m - 1 + z**2 + 3*z - a - 2*z**2.
-(z - 2)*(z - 1)
Suppose 13 + 75*s**3 + 9*s**4 - 82*s**2 - 73 - 147*s + 101*s**2 + 104*s**2 = 0. What is s?
-5, -4, -1/3, 1
Let j(z) be the second derivative of -z**5/5 - 2*z**4/3 + 2*z**3 + 269*z. Find i such that j(i) = 0.
-3, 0, 1
Let f = -403 + 807/2. Let s(m) be the first derivative of 8 + m**2 - 4/3*m**3 + 4*m - f*m**4. Factor s(a).
-2*(a - 1)*(a + 1)*(a + 2)
Let l(i) = 5*i**3 + 201*i**2 + 5217*i - 3. Let o(x) = -16*x**3 - 602*x**2 - 15656*x + 10. Let h(p) = 10*l(p) + 3*o(p). Factor h(f).
2*f*(f + 51)**2
Let a(t) be the second derivative of t**7/504 - t**5/24 + 19*t**4/12 - 17*t. Let y(n) be the third derivative of a(n). Factor y(f).
5*(f - 1)*(f + 1)
Let b(t) be the first derivative of -2/3*t + 1/3*t**3 - 1/12*t**4 + 1/6*t**2 + 23 - 1/15*t**5. Factor b(p).
-(p - 1)**2*(p + 1)*(p + 2)/3
Let s = 347 - 1385/4. Find b such that s*b + 3/2 - 3/4*b**2 = 0.
-1, 2
Suppose 0*q**2 - 12/7*q**3 + 2/7*q**5 + 0*q + 0 + 2/7*q**4 = 0. What is q?
-3, 0, 2
Let k(w) be the third derivative of -w**8/60480 + w**7/5040 - w**6/1080 + w**5/10 - 3*w**2. Let o(n) be the third derivative of k(n). Factor o(m).
-(m - 2)*(m - 1)/3
Let l = -68 - -72. Find u such that -19 + 4*u**2 - l*u**3 + 19 + u**4 = 0.
0, 2
Let w(m) be the third derivative of 1/15*m**5 - 1/90*m**6 + 0*m**3 + 0*m - 1/9*m**4 + 7*m**2 + 0. Factor w(d).
-4*d*(d - 2)*(d - 1)/3
Let m(f) be the second derivative of 0*f**2 - 1/2*f**3 + 0*f**4 + 1/120*f**5 + 3*f + 0 + 1/360*f**6. Let p(g) be the second derivative of m(g). Factor p(j).
j*(j + 1)
Let d be (-20)/15*(76/(-16) + 1). Factor -4/15*r**3 - 2/15 + 4/15*r**2 + 2/15*r + 2/15*r**d - 2/15*r**4.
2*(r - 1)**3*(r + 1)**2/15
Let 