) be the first derivative of 2/9*q**3 + 0*q + 1/6*q**4 - 2/15*q**5 - 1/3*q**2 + 1. Factor o(m).
-2*m*(m - 1)**2*(m + 1)/3
Let z = -95 + 289/3. Let y be 2/(-3) + (-24)/(-9). Determine m so that z*m**y - 10/3*m**3 + 0*m + 0 = 0.
0, 2/5
Factor 1/2*x**2 - x + 0.
x*(x - 2)/2
Let l(d) = -d - 4. Let h be l(-6). Let i(s) be the third derivative of -1/18*s**3 + 0*s - 2*s**h + 1/36*s**4 - 1/180*s**5 + 0. Let i(q) = 0. What is q?
1
Suppose 0 = 2*v + 1 - 9. Suppose 3*d - 5*j - 16 = 0, -v*j = -2*d + 6*d. Factor -1/2*m**d - 1/2*m + 0.
-m*(m + 1)/2
Let d(b) = 2*b - 32. Let j(l) = 3*l + 17. Let u be j(0). Let c be d(u). Solve 10/3*x - 2/3*x**c - 4/3 + 2*x**4 - 10/3*x**3 = 0 for x.
-1, 2/3, 1
Factor -10*l - 8*l**3 + 3*l + 4 + 9*l - 4*l**2 - 12*l**2.
-2*(l + 2)*(2*l - 1)*(2*l + 1)
Let q(j) = -7*j**4 + 8*j**3 - 3*j**2 + 5. Let z(i) = -i**4 + i**2 + 1. Let m = -14 - -9. Let g(w) = m*z(w) + q(w). Factor g(a).
-2*a**2*(a - 2)**2
Let y be (1/(-3))/(-3 - -2). Find o such that 1/3 - y*o**5 + 2/3*o**3 + 1/3*o**4 - 2/3*o**2 - 1/3*o = 0.
-1, 1
Let j(z) be the third derivative of z**8/2184 - 2*z**7/1365 + z**5/195 - z**4/156 - 5*z**2. Factor j(w).
2*w*(w - 1)**3*(w + 1)/13
Let q(t) be the first derivative of -t**6/15 + 8*t**5/25 - 2*t**4/5 - 4*t**3/15 + t**2 - 4*t/5 + 3. Solve q(s) = 0 for s.
-1, 1, 2
Let z(h) be the second derivative of -h**4/12 - h**3/3 + 3*h**2/2 + 6*h. Suppose z(f) = 0. Calculate f.
-3, 1
Suppose 5*f = 6 + 4. Let 3*c**2 - 21*c + 8*c**2 + 5*c**3 + 4*c**f + 9 - 8*c**3 = 0. What is c?
1, 3
Let y(z) be the third derivative of z**7/525 - z**6/300 - z**5/150 + z**4/60 - 39*z**2. Factor y(l).
2*l*(l - 1)**2*(l + 1)/5
Suppose -1 - l**2 + 3 + 2 = 0. What is l?
-2, 2
Let f = 42 - 125/3. Let f*u + 0 + 1/3*u**2 = 0. What is u?
-1, 0
Let g(o) be the second derivative of -3*o**5/80 + o**4/12 + o**3/6 + o. Factor g(k).
-k*(k - 2)*(3*k + 2)/4
Let a = 43 + -257/6. Let u(j) be the second derivative of -a*j**4 + 0 + 2/3*j**3 - j**2 - j. Determine r so that u(r) = 0.
1
Suppose 13*h - 38 = -6*h. Suppose 0*u**h + 2/3*u**3 - 2/3*u + 0 = 0. What is u?
-1, 0, 1
Solve 3/8*p**2 + 3/8*p - 3/4 = 0 for p.
-2, 1
Suppose -46 = 3*z - 34. Let l(v) = -v**3 - 5*v**2 - 6*v - 4. Let g be l(z). Factor 1/3*h**5 + 0*h**g - 2/3*h**3 + 0 + 1/3*h + 0*h**2.
h*(h - 1)**2*(h + 1)**2/3
Let v(m) be the second derivative of 17/18*m**5 + 35/27*m**6 + 8/9*m**2 + 5*m + 0 - 17/9*m**4 - 4/27*m**3. What is j in v(j) = 0?
-1, -2/7, 2/5
Let -4/7 - 4/7*f**2 - 8/7*f = 0. What is f?
-1
Factor 1/2*q - 3/8 - 1/8*q**2.
-(q - 3)*(q - 1)/8
Let t(j) be the first derivative of 2*j**2 + 0*j - 2 + 2/3*j**3. Find l such that t(l) = 0.
-2, 0
Find m, given that 0 + 6/5*m**3 + 6/5*m**2 + 0*m = 0.
-1, 0
Factor -3*w**3 - 5*w**3 + 0*w + 4*w + 4*w**3.
-4*w*(w - 1)*(w + 1)
Suppose 0 = -4*t - 4*a + 7*a + 18, -2*t - 5*a = 4. Factor 0*m**2 + 4/9*m**t + 2/9 - 2/9*m**4 - 4/9*m.
-2*(m - 1)**3*(m + 1)/9
Let y(a) = 39*a**2 + 16*a. Let d(q) = q**2 - q. Let i(z) = -6*d(z) - y(z). Let i(p) = 0. Calculate p.
-2/9, 0
Let x(j) = j**3 - 7*j**2 + 9*j + 8. Let z be x(5). Let s(v) be the first derivative of 6*v + 9/2*v**2 + v**z - 3. Factor s(l).
3*(l + 1)*(l + 2)
Let j = 29 + -231/8. Let w(h) be the first derivative of 3 - 1/16*h**4 + 1/12*h**3 + j*h**2 - 1/20*h**5 + 0*h. Solve w(k) = 0 for k.
-1, 0, 1
Let y be ((-10)/(-20))/(2/86). Let u = y - 21. Factor u*c**4 + 0*c + 0 + 1/2*c**5 - 1/2*c**3 - 1/2*c**2.
c**2*(c - 1)*(c + 1)**2/2
Find v, given that 62*v**3 + 1008*v**4 + 0 - 80*v**2 - 4*v - 5*v + 2 + 142*v**3 = 0.
-2/7, -1/4, 1/6
Let w(l) be the second derivative of -l**8/23520 + l**7/4410 - l**4/4 + 4*l. Let t(b) be the third derivative of w(b). Let t(q) = 0. What is q?
0, 2
Suppose 2*x = 2 + 4. Suppose -2*n - 3 = -o - 4*n, -x*n = 4*o - 7. Solve -1/2*f**2 - 1/2*f + o = 0.
-2, 1
Let t(d) be the first derivative of d**4/22 + 4*d**3/33 + 14. Find s, given that t(s) = 0.
-2, 0
Let c be 16/12 + (-5)/(-3). Factor 7*j - 4*j + 2*j**2 - 8*j**2 - 9*j**c.
-3*j*(j + 1)*(3*j - 1)
Let v = -170 - -170. Factor 3/4 + 3/2*p**3 - 3/4*p**4 + v*p**2 - 3/2*p.
-3*(p - 1)**3*(p + 1)/4
Let r be (4/6)/((-2)/(-12)). Let p = 18 + -10. Factor -12*s - r*s + 41*s**2 + p - 40*s + 57*s**2.
2*(7*s - 2)**2
Let x(o) be the second derivative of o**7/231 + o**6/165 - o**5/110 - o**4/66 - 15*o. Factor x(g).
2*g**2*(g - 1)*(g + 1)**2/11
Let y(s) be the second derivative of -s**6/30 + s**5/30 + s**4/12 - 5*s**2/2 - s. Let n(q) be the first derivative of y(q). Let n(k) = 0. What is k?
-1/2, 0, 1
Let y be -3 - ((-124)/28 - 0). Factor 4/7 + y*w**3 + 24/7*w**2 + 18/7*w.
2*(w + 1)**2*(5*w + 2)/7
Let w(h) be the second derivative of -h**4/108 - h**3/54 + h**2/9 - 42*h. Factor w(t).
-(t - 1)*(t + 2)/9
Let t(b) be the second derivative of 3/20*b**5 + 1/4*b**4 - 1/10*b**6 + 0*b**2 + 0 - 3*b - 1/2*b**3. Factor t(p).
-3*p*(p - 1)**2*(p + 1)
Suppose 0 + 35/4*j**2 - 15/4*j**4 + 15/4*j - 35/4*j**3 = 0. What is j?
-3, -1/3, 0, 1
Let w(c) be the first derivative of 3*c**5/5 + 3*c**4 + 2*c**3 - 6*c**2 - 9*c - 2. Suppose w(b) = 0. Calculate b.
-3, -1, 1
Let i(q) be the first derivative of 0*q + 3/16*q**2 + 1/24*q**3 - 4. What is p in i(p) = 0?
-3, 0
Suppose 50*z - 45*z = 15. Find q such that 2/3*q + 7/3*q**4 + 16/3*q**z + 0 + 11/3*q**2 = 0.
-1, -2/7, 0
Let g be (-6)/1 + (-42)/(-5). Let 3/5*k**2 + 12/5 + g*k = 0. What is k?
-2
Let z(k) be the second derivative of -k**5/80 - k**4/48 + 11*k. Determine w so that z(w) = 0.
-1, 0
Let y(p) be the third derivative of p**8/1176 - 4*p**7/735 + p**6/70 - 2*p**5/105 + p**4/84 - 4*p**2. Factor y(g).
2*g*(g - 1)**4/7
Let c be 18/2 - (-1 + 4). Let x(n) = 9*n**2 + 65*n - 72. Let v(h) = -h**2 - 8*h + 9. Let q(w) = c*x(w) + 51*v(w). Let q(o) = 0. What is o?
3
Let t(n) be the third derivative of -3*n**2 + 0 + 1/30*n**5 + 0*n + 0*n**3 + 1/12*n**4. What is p in t(p) = 0?
-1, 0
Let p(s) = 9*s**2 + 4*s + 13. Let x(b) = 2*b**2 + b + 3. Suppose 0*m - 5*m = 30. Let g(l) = m*p(l) + 26*x(l). Factor g(w).
-2*w*(w - 1)
Let r(z) = -3*z**2 - 3*z + 2. Let i(g) = 3*g + 3. Let c be i(3). Suppose c*a = 7*a - 55. Let u(n) = 8*n**2 + 9*n - 6. Let o(q) = a*r(q) - 4*u(q). Factor o(h).
(h - 2)*(h - 1)
Let -3/7*f**2 + 6/7 - 3/7*f = 0. Calculate f.
-2, 1
Let q(t) be the second derivative of -t**7/735 - t**6/210 - t**5/210 - 7*t**2/2 - 4*t. Let l(m) be the first derivative of q(m). Find h such that l(h) = 0.
-1, 0
Let g be (3/(-2))/(9/36). Let n = 10 + g. Factor -1/2 - 1/2*r**2 + 3/2*r**3 - 3/2*r + r**n.
(r - 1)*(r + 1)**2*(2*r + 1)/2
Suppose 0 = -0*n + n. Let h be (-3)/9*n + 14. Let s + 13*s**2 + 0*s - h*s**2 = 0. Calculate s.
0, 1
Let y(c) be the third derivative of c**5/100 - c**4/10 + 3*c**3/10 + 7*c**2. Factor y(n).
3*(n - 3)*(n - 1)/5
Solve -4/3 - c - 1/6*c**2 = 0 for c.
-4, -2
Let f be (-2 + (-1)/(-2))*-2. Factor 2*x**5 - 3*x**3 - 4*x - x**5 + 6*x**f - 4*x**2 + 4*x**4.
x*(x - 1)*(x + 1)*(x + 2)**2
Let z(g) = 495*g**4 + 625*g**3 - 820*g**2 - 260*g + 40. Let s(m) = -38*m**4 - 48*m**3 + 63*m**2 + 20*m - 3. Let i(q) = -40*s(q) - 3*z(q). Factor i(t).
5*t*(t - 1)*(t + 2)*(7*t + 2)
Let q(j) be the first derivative of 0*j - 5 + 1/2*j**3 + 3/4*j**2. Factor q(o).
3*o*(o + 1)/2
Let d be (5 - 2)*(-16)/(-12). Find k, given that -3*k**2 - d*k - 3*k**2 + 4*k**3 - 2*k**2 + 8 = 0.
-1, 1, 2
Let h(v) be the second derivative of v**7/840 + v**6/360 - v**5/60 - v**3/2 - 4*v. Let w(q) be the second derivative of h(q). Let w(f) = 0. Calculate f.
-2, 0, 1
Let 5*y**4 - 8*y**2 + 4*y + 3*y**2 - 4*y = 0. Calculate y.
-1, 0, 1
Let p(c) = -c**3 - 5*c**2 - 3*c + 4. Suppose -14 - 2 = 4*a. Let k be p(a). Solve k + 1/3*w - 1/3*w**2 = 0.
0, 1
Let j = -2/41 - -629/287. Factor j*p**3 - 6/7*p**2 + 0 + 0*p.
3*p**2*(5*p - 2)/7
Let u(t) be the first derivative of -3/2*t - 3 + 9/4*t**2 - t**3. Factor u(z).
-3*(z - 1)*(2*z - 1)/2
Suppose 6*t - 2*t - 20 = 0. Let g(s) be the first derivative of 0*s**2 - 1/15*s**t + 0*s**4 + 0*s**3 - 2 + 0*s. Let g(f) = 0. What is f?
0
Let v(d) be the second derivative of d**5/80 - d**4/24 - 2*d. Factor v(c).
c**2*(c - 2)/4
Let a(x) = -15*x**3 + 75*x**2 - 93*x + 15. Let p(w) = 4*w**3 - 19*w**2 + 23*w - 4. Let j(c) = -2*a(c) - 9*p(c). Find m such that j(m) = 0.
1/2, 1, 2
Let y(z) be the first derivative of z**6/51 - 2*z**4/17 + 4*z**3/51 + 3*z**2/17 - 4*z/17 + 22. Let y(p) = 0. Calculate p.
-2, -