he third derivative of -23*c**5/20 - 45*c**4/4 + 4*c**3 - 406*c**2. Factor j(v).
-3*(v + 4)*(23*v - 2)
Suppose n - 39 = -3*t, -n + t + 143 = 3*n. Determine q, given that -n*q**3 + q**2 - 16*q**4 + q**2 - 22*q**2 = 0.
-5/4, -1, 0
Suppose 3*v + 24 = -14*p + 8*p, 0 = -2*v - 5*p - 21. Factor -4/5*z**5 - 4/5*z**3 + 0*z + 8/5*z**4 + 0*z**v + 0.
-4*z**3*(z - 1)**2/5
Let y(g) be the second derivative of -g**6/10 + 6*g**5 - 437*g**4/4 + 361*g**3 + 2*g + 3. Determine o, given that y(o) = 0.
0, 2, 19
Let s(v) be the third derivative of 2/1365*v**7 + 0*v**3 + 1/2184*v**8 + 0 + 0*v**5 - 2*v**2 + 0*v + 1/780*v**6 + 0*v**4. Factor s(z).
2*z**3*(z + 1)**2/13
Let q be 3/9*(0 - 9). Let o be (-1 - 2)*4/q. Factor f**3 - 3 + 4*f**4 + 17*f**3 + f**5 - 22*f**2 - 17*f**o + 13*f + 6*f**4.
(f - 3)*(f - 1)**4
Let v(p) = 2*p**2 - 26*p + 63. Let s be v(10). Factor -4/3*h + 4/3*h**s + 8/3 - 8/3*h**2.
4*(h - 2)*(h - 1)*(h + 1)/3
Factor 102/13*m - 100/13 - 2/13*m**2.
-2*(m - 50)*(m - 1)/13
Factor 0 + 0*r**2 + 20/3*r**3 + 2/3*r**4 + 0*r.
2*r**3*(r + 10)/3
Factor 18/5*l - 18/5*l**3 + 4/5*l**2 - 4/5.
-2*(l - 1)*(l + 1)*(9*l - 2)/5
Factor -5*k - 10*k**5 + 6*k**5 + 6*k**4 + 5*k + 6*k**4.
-4*k**4*(k - 3)
Let a be (-1 + 9/(-6))*(-6)/3. What is t in 16*t**4 + 15*t**5 - 2*t**2 - 24*t**4 - 4*t**3 - 11*t**a + 10*t**2 = 0?
-1, 0, 1, 2
Suppose 0 = 4*l + 3*b + 4, l + 0*b + 14 = -4*b. Suppose 23*w + 10*w**l + 3 + 2 - w**5 - 10*w**3 - 8*w - 4*w**5 - 15*w**4 = 0. What is w?
-1, 1
Let v be ((-3)/(-2))/(2048/80 - 25). Find x, given that -845/2 + 65*x - v*x**2 = 0.
13
Let g be 2 - ((0 + 2 - 4) + 1). Suppose j = 2 + g, -20 = -4*r - 4*j. Suppose 1/2*f**2 + 0*f - 1/4 - 1/4*f**4 + r*f**3 = 0. Calculate f.
-1, 1
Let s = 7935 + -7932. Suppose 7/5*x**s + 4/5 - 19/5*x**2 + 8/5*x = 0. Calculate x.
-2/7, 1, 2
Solve 7257*q**2 + 3*q + 35 - 7255*q**2 - 5 + 13*q = 0.
-5, -3
Factor 0 - 16/19*s + 2/19*s**2.
2*s*(s - 8)/19
What is p in -62/5*p + 2/5*p**2 - 64/5 = 0?
-1, 32
Let y(z) be the second derivative of z**4/24 - z**3/4 + z**2/2 + 2*z - 24. Factor y(f).
(f - 2)*(f - 1)/2
Let d be 69/((105/10)/7). Suppose -d*k + 44*k + 10 = 0. Factor 1/2*o**3 + 1/2*o**2 + 0*o + 0 - 1/2*o**k - 1/2*o**4.
-o**2*(o - 1)*(o + 1)**2/2
Let t(s) be the second derivative of s**5/210 + s**4/42 - 19*s**2/2 - s. Let q(u) be the first derivative of t(u). Determine v, given that q(v) = 0.
-2, 0
Let b be (-3800)/(-4389) + (-18)/21. Let v(n) be the second derivative of 0*n**2 + 1/165*n**6 - b*n**7 - 2*n + 0 + 1/110*n**5 + 0*n**4 + 0*n**3. Factor v(l).
-2*l**3*(l - 1)*(2*l + 1)/11
Factor 0*z - 3/5*z**5 + 87/5*z**2 + 0 - 177/5*z**3 + 93/5*z**4.
-3*z**2*(z - 29)*(z - 1)**2/5
Let m(y) be the third derivative of y**8/84 - 32*y**7/105 + 8*y**6/5 + 16*y**5/15 - 104*y**4/3 + 128*y**3 - 114*y**2. Find t such that m(t) = 0.
-2, 2, 12
Let t = 349 - 340. Let v(y) be the second derivative of 0 - 7/12*y**3 - 5/24*y**4 - 3/4*y**2 - t*y - 1/40*y**5. Suppose v(q) = 0. Calculate q.
-3, -1
Let z(f) be the second derivative of f**5/8 - 5*f**3/4 + 5*f**2/2 - f - 48. Let z(v) = 0. Calculate v.
-2, 1
Let v = 37/224 + 113/672. Suppose v*m**4 + 0*m + 0*m**2 + 0*m**3 + 0 = 0. What is m?
0
Let i(f) be the second derivative of -1/14*f**4 + 1/35*f**5 - 2*f + 1/7*f**2 + 0*f**3 + 18. What is t in i(t) = 0?
-1/2, 1
Let b(o) be the third derivative of 0*o**3 + 0 - 1/24*o**6 - 2/105*o**7 + 7/60*o**5 + 31*o**2 + 1/12*o**4 + 0*o. What is n in b(n) = 0?
-2, -1/4, 0, 1
Let p = -58 + 94. Let h be (-5 - p/(-8))/(-1). Solve -h*q**3 + 0*q - 1/2*q**2 + 0 = 0 for q.
-1, 0
Suppose 6740 = l - 5*h + 6712, 14 = 3*l - h. Suppose -4/7*y**4 + 0*y**2 + 4/7 - 8/7*y**l + 8/7*y = 0. Calculate y.
-1, 1
Let z be (-1*(7 + -17))/(-3 - -5). Let l be (-5)/(-20) - (-7)/36. Factor -l*m**4 + 0*m + 2/9*m**z + 2/9*m**3 + 0 + 0*m**2.
2*m**3*(m - 1)**2/9
Let c be (-6 + 9 + -7)*2/(-4). Factor -1/3*v**5 + v - 1/3 + v**4 - 2/3*v**c - 2/3*v**3.
-(v - 1)**4*(v + 1)/3
Find m such that -12 - 21/4*m**3 + 3*m + 9*m**2 + 3/4*m**4 = 0.
-1, 2, 4
Let p(a) = -3*a**2 - a - 2. Let f(z) = -3*z**2 - 2*z - 3. Let s(t) = 3*f(t) - 4*p(t). Let i(m) = 3*m**2 - 3*m. Let w(u) = -5*i(u) + 6*s(u). Factor w(x).
3*(x - 1)*(x + 2)
Suppose -3*k + 15 + 6 = 0. Suppose 2*g - k*g + 15 = 0. Let 2 - i**2 - 4 + g = 0. Calculate i.
-1, 1
Let c(t) = t**2 + 50*t - 131. Let h(d) = -5*d**2 - 300*d + 785. Let m be 5/3*(-15 - (-4 + 10)). Let a(f) = m*c(f) - 6*h(f). Factor a(b).
-5*(b - 5)**2
Let l be (8 - 1) + (5 - (5 - 0)). Factor 6*a**3 + 3*a**5 - 3*a**5 + 4*a - l*a - 3*a**5.
-3*a*(a - 1)**2*(a + 1)**2
Determine c so that -2*c**2 + 0 + 1/7*c**3 + 13/7*c = 0.
0, 1, 13
Let s(r) = 39*r**2 - 27. Let z(k) = -3*k**2 + 2. Let i = -104 - -56. Let l = -21 - i. Let c(a) = l*z(a) + 2*s(a). Solve c(g) = 0.
0
Determine u so that -3/2*u + 5/4 + 1/4*u**2 = 0.
1, 5
Let d be -1 + -3 - (5 + -7). Let i be d/(-6) - 35/(-30). Factor -1/2*y**3 + 0*y**2 - 1 + i*y.
-(y - 1)**2*(y + 2)/2
Factor -y**2 + y**3 + 4 - 3*y**2 + 38*y - 40*y + y**3.
2*(y - 2)*(y - 1)*(y + 1)
Let k(y) = 10*y + 8*y - 17*y + 17. Let g be k(-14). Factor 3*v - 9/2*v**g + 0 - 3/2*v**2.
-3*v*(v + 1)*(3*v - 2)/2
Let v(u) = u**2 - 76*u + 222. Let o be v(3). What is x in 4/3*x**o + 2/3 - 2/3*x + 2/3*x**4 - 2/3*x**5 - 4/3*x**2 = 0?
-1, 1
Let t(v) be the third derivative of 64/3*v**3 + 4/3*v**4 + 0 + 1/30*v**5 + 0*v + 7*v**2. Find z, given that t(z) = 0.
-8
Let r be (2/10)/(4/40). Suppose 3*c + 0*c - 3*g = 15, r*c = g + 8. Suppose -4/3*b + 0 + 10/3*b**2 + 2*b**c = 0. What is b?
-2, 0, 1/3
Let o be -2*((-22)/4 + (-45)/(-15)). Suppose -2*v + o*q - 31 = -6, q = -5*v + 5. Factor 2*u**4 - 2*u**5 + 3/2*u**3 + v - u**2 - 1/2*u.
-u*(u - 1)**2*(2*u + 1)**2/2
Let k(x) be the first derivative of -3/4*x**4 - 29 - 14/3*x**3 - 6*x - 17/2*x**2. Let k(z) = 0. Calculate z.
-3, -1, -2/3
Let g(r) be the first derivative of 1/2*r**4 + 0*r**2 + 0*r + 1/3*r**3 + 1/5*r**5 + 11. Factor g(k).
k**2*(k + 1)**2
Let b = -2 - -14. Let i(h) = h - b*h - 49*h - 56 - 4*h**2. Let p(k) = -k**2 - 12*k - 11. Let v(u) = 3*i(u) - 16*p(u). Find f such that v(f) = 0.
-2, -1
Let j(q) = -7*q**2 + 9*q - 14. Let i(v) = -8*v**2 + 9*v - 16. Let b(n) = -4*i(n) + 5*j(n). Find d such that b(d) = 0.
1, 2
Let v(s) be the third derivative of -s**5/160 - 3*s**4/32 - s**3/2 - 3*s**2 - 9*s. Factor v(z).
-3*(z + 2)*(z + 4)/8
Find m, given that -119/10*m**2 - 10*m - 14/5 - 5*m**3 - 3/10*m**4 = 0.
-14, -1, -2/3
Determine q, given that 2/11*q - 28/11 + 6/11*q**2 = 0.
-7/3, 2
Suppose 8 - 2*g**2 - 1/2*g**3 + 2*g = 0. What is g?
-4, -2, 2
Factor -4/5*k**5 + 16/5*k**4 - 12/5*k**3 + 0 + 0*k + 0*k**2.
-4*k**3*(k - 3)*(k - 1)/5
Let l(t) = 7*t**3 - 9*t**2 - 22*t - 2. Let u be (-225)/(-35) + -4 - 6/14. Let j(a) = 13*a**3 - 19*a**2 - 45*a - 3. Let f(c) = u*j(c) - 5*l(c). Factor f(k).
-(k - 2)*(k + 1)*(9*k + 2)
Let t(z) be the third derivative of -z**8/1848 - 2*z**7/385 - 13*z**6/660 - 2*z**5/55 - z**4/33 - 5*z**2 + 8*z. Factor t(x).
-2*x*(x + 1)**2*(x + 2)**2/11
Suppose -7*o = -10*o + 4*f - 16, -3*f + 12 = 5*o. Suppose q - 3*q - 4*l + 10 = o, -5*q = l - 25. Solve 0 + 2/9*d**4 - 2/9*d**2 + 2/9*d**3 + 0*d - 2/9*d**q = 0.
-1, 0, 1
Let y be (-4)/(-4) - -1*1. Suppose y*g = 3*g - 2. Factor -2 + 2*l - 4*l**g + 7*l**2 + 3 - 2.
(l + 1)*(3*l - 1)
Find z, given that 4*z**2 - z**4 - z + 1046 - 1047 + 2*z**3 - z**5 - 2*z**2 = 0.
-1, 1
Factor -1426*b**4 + 8*b**3 - 1421*b**4 + 24*b**2 + 2845*b**4.
-2*b**2*(b - 6)*(b + 2)
Let s(b) = b**2 - 95*b + 7. Let o(y) = -48*y + 4. Let g(n) = 7*o(n) - 4*s(n). Factor g(v).
-4*v*(v - 11)
Let i be (-3)/27 + 505/9. Suppose 58 = s + i. Let 2/3*w**s + 0 + 2*w - 4/3*w**3 = 0. Calculate w.
-1, 0, 3/2
Let f(u) be the second derivative of u**9/37800 - u**8/16800 - u**7/3150 + 5*u**4/12 + 35*u. Let x(s) be the third derivative of f(s). Factor x(m).
2*m**2*(m - 2)*(m + 1)/5
Suppose 0 = 4*y - p - 0*p - 21, y + 5*p + 21 = 0. Factor 0*b**3 - 21*b + y + 23*b**2 + b**3 - 5*b**3 - 2*b**2.
-(b - 4)*(b - 1)*(4*b - 1)
Factor -19*m - m**2 + 54 + 19*m - 3*m**2 + 2*m**2 - 52*m.
-2*(m - 1)*(m + 27)
Let o(t) = 7*t**2 + 5*t - 2. Let z(g) be the first derivative of 4*g - 5*g**3 - 11/2*g**2 + 1. Let b(d) = -13*o(d) - 6*z(d). Suppose b(h) = 0. Calculate h.
-1, 2
Let h = 7/1320 - -1/88. Let w(i) be the second derivative of -h*i**4 - 1/10*i**2 - 3*i + 0 - 1/15*i**3. Factor w(p).
-