)*(h + 1)*(h + 7)/5
Let h(v) be the second derivative of -1/294*v**7 + 0*v**3 - 1/140*v**5 + 0*v**4 + 0 - 6*v + 1/105*v**6 + 0*v**2. Factor h(g).
-g**3*(g - 1)**2/7
Let t = 23953/5322 - 2/2661. Let n be 2/(-7) - (-2)/7. Let 0 - 3*y**3 - t*y**4 - 2*y**5 + n*y - 1/2*y**2 = 0. Calculate y.
-1, -1/4, 0
Let i(q) be the first derivative of q**4/18 + 74*q**3/9 + 73*q**2/3 + 218*q/9 + 88. Let i(b) = 0. What is b?
-109, -1
Let l(n) be the first derivative of -5*n**3/3 - 475*n**2/2 + 480*n - 13. Determine b so that l(b) = 0.
-96, 1
What is o in -o**4 + 220*o + 113 - 141*o**3 + 15*o**2 - 4*o**4 + 71*o**3 + 27 = 0?
-14, -1, 2
Let x(s) be the first derivative of -s**4/7 - 76*s**3/21 + 82*s**2/7 - 12*s - 146. Factor x(l).
-4*(l - 1)**2*(l + 21)/7
Let y be -15 + 18 - 6/(-1). Let t = 10 + -4. Determine q, given that t*q**5 + q**2 - 9*q**5 + y*q**4 + 2*q**2 - 9*q**3 = 0.
0, 1
Let a be 7/(-56)*(6/(-5) - 0). Let t(r) be the second derivative of -2*r**3 + 0 - a*r**5 + 8*r + 0*r**2 + r**4. Factor t(f).
-3*f*(f - 2)**2
Let s(m) be the third derivative of -m**7/4410 - m**6/1260 - 5*m**4/8 + m**2. Let r(w) be the second derivative of s(w). Let r(j) = 0. What is j?
-1, 0
Let t(w) = -w**2 - 13*w - 2. Let h be t(-12). Suppose -3*c - h = -8*c. Factor 3*g**c + 18*g - 4*g**2 + 27 + 4*g**2 + 0*g**2.
3*(g + 3)**2
Suppose 2*f = m - 689, 4*m + 2*f + 2*f = 2696. Let h = m + -3383/5. Factor 3/5*i**3 + 0 + h*i**2 + 9/5*i.
3*i*(i + 1)*(i + 3)/5
Suppose -4*g - 2*v = -4*v, 4 = -4*g + 3*v. Let l be (-4)/g + 416/192. Suppose -1/3*a**2 + l*a**4 + 0*a**3 + 1/6 + 0*a = 0. What is a?
-1, 1
Factor 1350/7*h + 6750/7 + 90/7*h**2 + 2/7*h**3.
2*(h + 15)**3/7
Let g be ((-2)/14)/(1196/(-91) + -4). Let z(s) be the second derivative of 1/6*s**2 + 0*s**4 + s + g*s**5 - 1/12*s**3 + 0. Determine h so that z(h) = 0.
-2, 1
Let a(f) be the second derivative of 1/5*f**3 - 11*f + 0 + 1/50*f**5 - 1/5*f**2 - 1/10*f**4. Factor a(g).
2*(g - 1)**3/5
Suppose 3*j = 7*j - 8. Find g such that 4*g + j*g**2 + g - 2*g + g = 0.
-2, 0
Let v(o) be the first derivative of o**6/54 - 2*o**5/15 + o**4/3 - 10*o**3/27 + o**2/6 + 102. Factor v(n).
n*(n - 3)*(n - 1)**3/9
Let q be ((-2673)/(-198))/(1*18). Factor -1/2 - q*s**3 - 5/2*s**2 - 9/4*s.
-(s + 1)*(s + 2)*(3*s + 1)/4
Suppose 2*i + 3*g + 9 = 0, 0 = -2*i - 2*g - 3 - 1. Let f(q) be the second derivative of -2*q - 1/33*q**4 + 0*q**2 - 1/33*q**i + 0 - 1/110*q**5. Factor f(o).
-2*o*(o + 1)**2/11
Let w be -14 + ((-7152)/(-208) - 13). Factor -2*h**2 - w*h - 72/13 - 2/13*h**3.
-2*(h + 1)*(h + 6)**2/13
Let f = -79 - -183. Let o = -514/5 + f. Suppose 18/5 - o*v - 2/5*v**3 - 2*v**2 = 0. Calculate v.
-3, 1
Let p = 6/103 - -1012/309. Let m = -8/3 + p. Let -2/3 + 4/3*f**2 - m*f = 0. Calculate f.
-1/2, 1
Let y(h) be the third derivative of -h**5/30 + 7*h**4/12 - 4*h**3 - 16*h**2 - h. Solve y(p) = 0 for p.
3, 4
Let t(c) = c**2 - c - 3. Let v(d) = 4. Suppose -2*i = -7 + 1. Let q(b) = i*v(b) + 4*t(b). Factor q(f).
4*f*(f - 1)
Suppose -25 = -z - 2*z - 4*o, 4*z + 5*o = 32. Suppose 3/5*u**2 - 3/5 + 9/5*u**z - 9/5*u = 0. What is u?
-1, -1/3, 1
Let a be (-65)/(-13) - 3/1. Factor -a*l**2 + l**2 - 1 + 422*l - 424*l.
-(l + 1)**2
Let n(v) be the second derivative of -v**7/56 - v**6/20 + 9*v**5/80 + 104*v. Solve n(u) = 0.
-3, 0, 1
Let v(t) be the first derivative of -4*t**5/5 + 27*t**4 - 324*t**3 + 1458*t**2 + 120. Factor v(a).
-4*a*(a - 9)**3
Let b be 15/(-40) + (-759)/24. Let c be -6 + (-1)/(b/212). Factor -3/8 - c*f + 1/8*f**3 - 1/8*f**2.
(f - 3)*(f + 1)**2/8
Let h = 1040 + -1040. Factor -5 + 5/4*n**2 + h*n.
5*(n - 2)*(n + 2)/4
What is z in 0*z - 6/11*z**4 + 6/11*z**2 - 24/11*z**5 + 24/11*z**3 + 0 = 0?
-1, -1/4, 0, 1
Let v(n) be the third derivative of n**6/96 + 7*n**5/48 + 25*n**4/32 + 15*n**3/8 + 8*n**2 + 2. Factor v(q).
5*(q + 1)*(q + 3)**2/4
Let h(v) be the first derivative of 0*v**3 + 0*v**4 - 1 + 0*v**2 - 5*v - 1/20*v**5. Let o(m) be the first derivative of h(m). Let o(r) = 0. Calculate r.
0
Let r = 46 - 43. Find m, given that -7*m - 16*m**3 - 10*m + 7*m + 41*m**r - 15*m**2 = 0.
-2/5, 0, 1
Determine q so that 2/5*q**2 + 4 - 14/5*q = 0.
2, 5
Let j be (-8)/28 - 5/(105/4971). Let h = j + 240. Factor 15/4*x + h*x**2 + 3/2 + 3/4*x**3.
3*(x + 1)**2*(x + 2)/4
Let t be (-392)/84 + 7 - 2/6. Find p, given that 0*p + 2/9*p**t + 0 + 2/9*p**3 = 0.
-1, 0
Factor 55*l**4 + 144*l**2 - 39*l - 19*l**4 + 4*l**5 - 48*l + 112*l**3 + 151*l.
4*l*(l + 1)*(l + 2)**2*(l + 4)
Let k(o) be the first derivative of -1/2*o**4 + 8*o**3 - 4*o + o**2 - 8 - 4*o**5. Determine b, given that k(b) = 0.
-1, -1/2, 2/5, 1
Let i(r) be the second derivative of -r**7/280 + r**6/60 + 5*r**3 + 2*r. Let a(t) be the second derivative of i(t). Factor a(f).
-3*f**2*(f - 2)
Let u(g) be the second derivative of -g**6/10 - 3*g**5/4 + g**4/4 + 5*g**3/2 + 162*g. Factor u(p).
-3*p*(p - 1)*(p + 1)*(p + 5)
Let s be 4/1 - (-32)/(-8). Suppose s = u - 0 - 2. Suppose 4 + 3*k**u - 14*k - 3*k**3 - 2*k**2 - k**3 + 13*k**2 = 0. Calculate k.
1/2, 1, 2
Let c = -65806 - -327817/5. Let w = c + 243. Solve 0*s + 8/5 - w*s**2 = 0 for s.
-2, 2
Suppose 3*q - 5*n = 5, -4*n - 12 = 2*q - 30. Find h such that -15/2*h**4 + 57/2*h**2 + 6 + 9/4*h**q - 9/4*h**3 - 27*h = 0.
-2, 1/3, 1, 2
Factor 3*a**3 - 1/2*a**4 + 0*a**2 - 11*a - 15/2.
-(a - 5)*(a - 3)*(a + 1)**2/2
Let m(w) be the third derivative of 23*w**6/8 - 131*w**5/60 - 5*w**4/2 - 2*w**3/3 - 2*w**2 + 2*w. Factor m(p).
(3*p - 2)*(5*p + 1)*(23*p + 2)
Let y = -123 - -143. Let k = y - 10. Solve 5/2*h**2 + k*h + 0 = 0 for h.
-4, 0
Let m(t) be the first derivative of -t**5/30 - 7*t**4/6 - 83*t**3/9 + 35*t**2 - 75*t/2 - 377. Factor m(i).
-(i - 1)**2*(i + 15)**2/6
Let y(w) be the second derivative of 0 - 6*w**2 - 2/3*w**4 - 15*w - 11/3*w**3. Factor y(n).
-2*(n + 2)*(4*n + 3)
Suppose -3 = -z - 2*g, -2*z - 5*g + 6 = -0*z. Factor c**4 - c**z - c**2 - 4*c**4 + 4*c**4 + c.
c*(c - 1)**2*(c + 1)
Let c(t) be the first derivative of 2*t**3/3 + 9*t**2 + 28*t + 25. Factor c(z).
2*(z + 2)*(z + 7)
Suppose 5*s - 7 - 15 = -4*d, 4*s - 23 = -5*d. Determine w, given that 8*w - w**2 + 2*w**2 + 7*w**2 + 2*w**d + 0*w**3 = 0.
-2, 0
Suppose 3*x**3 - 36/5 - 12*x + 81/5*x**2 = 0. What is x?
-6, -2/5, 1
Let g(w) be the third derivative of w**7/8820 - w**6/2520 - 19*w**4/24 + 22*w**2. Let v(o) be the second derivative of g(o). Factor v(r).
2*r*(r - 1)/7
Let l(n) = n**3 - 6*n**2 - 3*n - 8. Let y be l(6). Let f = 28 + y. Factor w**4 + 6*w**3 - w - 4*w - w + 4 - 2*w**f - 3*w**4.
-2*(w - 2)*(w - 1)**2*(w + 1)
Let f be (-2)/(-3) + (-6)/(-18). Let w(o) = o**3 + 3*o**2 - o - 1. Let y be w(f). Factor s**2 - s - 7*s - 6 + s**2 - 4*s**y.
-2*(s + 1)*(s + 3)
Suppose 0 = 4*h - 8, -5*g + 43 = 2*h + 2*h. Suppose g - 5*c**3 - 7 - 5*c + 10*c**2 = 0. Calculate c.
0, 1
Let s(q) = -q**3 + 13*q**2 - 7*q - 15. Let j be s(12). Let h be -3*2*(-5)/j. Determine n so that 4/3*n - 2*n**2 + 0 + h*n**3 = 0.
0, 1, 2
Let x(o) be the second derivative of -3/8*o**2 - 3/16*o**5 - 3/16*o**4 + 38*o + 5/8*o**3 + 1/10*o**6 + 0. Find h, given that x(h) = 0.
-1, 1/4, 1
Factor 91 - 2*m**2 + 3*m**2 - 16*m - 27.
(m - 8)**2
Let p(t) be the second derivative of t**4/12 - 10*t**3/3 + 490*t. Factor p(y).
y*(y - 20)
What is f in -4/11*f + 2/11*f**2 + 0 + 2/11*f**3 = 0?
-2, 0, 1
Let l(w) be the first derivative of -3*w**5/5 - 15*w**4/4 - 8*w**3 - 6*w**2 + 103. Factor l(o).
-3*o*(o + 1)*(o + 2)**2
Let t(o) be the first derivative of -27*o**4/4 - 10*o**3 + 51*o**2/2 + 6*o + 40. Find m, given that t(m) = 0.
-2, -1/9, 1
Let c(g) be the first derivative of g**5/5 + g**4/2 - 7*g**3/3 + 2*g**2 + 31. Solve c(u) = 0 for u.
-4, 0, 1
Suppose 3*f + i - 8 = 0, -191*f = -192*f - 3*i. Factor 0 + 1/6*j**4 - 5/6*j**f - 2/3*j + 4/3*j**2.
j*(j - 2)**2*(j - 1)/6
Let g = 1763/5271 + -2/1757. Factor -g*z**2 + 4/3*z + 5/3.
-(z - 5)*(z + 1)/3
Let a(h) be the third derivative of h**7/560 - h**6/120 + h**5/80 - 5*h**3/6 + 16*h**2. Let m(d) be the first derivative of a(d). Factor m(j).
3*j*(j - 1)**2/2
Solve -4/5 - 18/5*w**2 + 18/5*w = 0.
1/3, 2/3
Determine z, given that -1/6*z**3 + 1/2*z + 1/3*z**2 + 0 = 0.
-1, 0, 3
Let a(n) be the second derivative of 3*n**6/25 + 8*n**5/25 - 2*n**4/15 - 232*n. Factor a(v).
2*v**2*(v + 2)*(9*v - 2)/5
Let u = 275 + -547/2. Let v(c) be the first derivative of -u*c**2 - 1 - 6*c + c**3. Factor v