9/2 = 0. Calculate j.
1, 117
Suppose 0 = 23*s - 12 - 57. What is h in -3/2 - 9/4*h + 3/4*h**s + 0*h**2 = 0?
-1, 2
Let z(d) be the second derivative of -d**4/12 - 11*d**3/6 - 9*d**2/2 - d. Let u be z(-10). Factor 2 + 6*i + u + 1 + 2*i**2.
2*(i + 1)*(i + 2)
Let f(h) be the second derivative of h**6/105 - h**5/35 + h**4/42 + 4*h. Factor f(v).
2*v**2*(v - 1)**2/7
Let a(y) be the first derivative of 49*y**6/12 + 63*y**5/2 - 269*y**4 + 1652*y**3/3 - 348*y**2 + 88*y + 232. Determine x so that a(x) = 0.
-11, 2/7, 2
Let g(r) be the third derivative of r**6/120 - r**5/20 - 7*r**4/6 - 64*r**2 - r. Factor g(u).
u*(u - 7)*(u + 4)
Let h(b) be the first derivative of 1/5*b + 1/10*b**4 - 1/25*b**5 - 1/5*b**2 + 0*b**3 - 6. Determine q so that h(q) = 0.
-1, 1
Let t be (-2)/(-54)*(-16)/(-32). Let n(q) be the second derivative of t*q**4 + 6*q + 1/90*q**5 + 0*q**2 + 0 - 2/27*q**3. Let n(y) = 0. Calculate y.
-2, 0, 1
Let w(h) be the second derivative of 1/3*h**3 + 3*h + 1/15*h**5 + 1/120*h**6 + 5/24*h**4 - 5/2*h**2 + 0. Let p(s) be the first derivative of w(s). Factor p(u).
(u + 1)**2*(u + 2)
Let w be (-4 - -1) + (-350)/56. Let j = w + 19/2. Find h, given that -1/4*h**2 - 1/2*h - j = 0.
-1
Suppose 2*a + 4*c + 31 = 11, 4*c - 50 = 3*a. Let f be a/4*60/(-105). Factor 3*d**f - 8*d**4 - 7*d**4 - 2*d + 14*d**4.
-d*(d - 1)**2*(d + 2)
Let p be -2 + (-6)/((-13)/3 + 3). Find c such that 0*c**3 + 5/2 - 5*c**2 + 0*c + p*c**4 = 0.
-1, 1
Let p(m) be the second derivative of 0 + 1/72*m**4 - 5*m - 1/1080*m**6 + 0*m**2 + 0*m**5 + 2/3*m**3. Let i(b) be the second derivative of p(b). Factor i(d).
-(d - 1)*(d + 1)/3
Suppose -l - 22 - 50 = 3*v, -144 = 2*l + 3*v. Let r be 1/(-2) - l/16. Factor q**3 + q**4 - 3*q**3 - 3*q**r.
-2*q**3*(q + 1)
Let h be (-11)/((-11)/246) + -2 + -1. Factor h + 2*q**2 - 70*q + 30*q - 14*q + q**2.
3*(q - 9)**2
Let p(z) be the third derivative of -2*z**7/105 - z**6/15 - z**5/15 - 2*z**2 - 2. Factor p(b).
-4*b**2*(b + 1)**2
Let w = 200 - 21. Let s = -177 + w. Factor 2/5*n + 6/5 - 2/5*n**3 - 6/5*n**s.
-2*(n - 1)*(n + 1)*(n + 3)/5
Factor -2/11*n**3 + 4/11*n**2 + 2/11*n - 4/11.
-2*(n - 2)*(n - 1)*(n + 1)/11
Let w(d) be the second derivative of -1/4*d**4 + 0*d**2 + 1/2*d**3 + 0 - 17*d. Factor w(c).
-3*c*(c - 1)
Suppose -4*b - 2*n - 4 = -16, 4*n = -b + 10. Suppose 22*x**2 - 18*x**b - 27*x + 7*x = 0. What is x?
0, 5
Let r(o) be the first derivative of -2*o**5/25 - o**4/4 + 4*o**3/15 + 3*o**2/10 - 112. Solve r(n) = 0 for n.
-3, -1/2, 0, 1
Let h(j) = -6*j + 116. Suppose -3*b + 3*s = -0*b - 51, 5*b = -4*s + 103. Let w be h(b). Factor 0 + 1/7*t + 1/7*t**3 + 2/7*t**w.
t*(t + 1)**2/7
Let u(c) = 6*c**2 + 74*c - 49. Let r be u(-13). Let -2/7*k**2 + 2/7 + k**r - k = 0. What is k?
-1, 2/7, 1
Factor -15*b**3 - 54 + 32*b + 33539*b**4 - 33536*b**4 + 31*b + 3*b**2.
3*(b - 3)**2*(b - 1)*(b + 2)
Find p such that 9*p**3 - p**4 - 52 - 2*p**3 + 6*p**3 + 135*p - 63*p**2 - 56 = 0.
3, 4
Let n be (-4)/(-6) - (-245)/(-21). Let c = 13 + n. Factor 2 + 0*g - 2*g**3 + 2 - 4*g**2 + c*g.
-2*(g - 1)*(g + 1)*(g + 2)
Let x(k) be the third derivative of -5*k**8/504 + 41*k**7/1260 - 5*k**6/144 + k**5/90 - 3*k**2 + 80*k. Find v, given that x(v) = 0.
0, 1/4, 4/5, 1
Let -363*g + 43*g**4 + 312*g**2 - 31*g**4 + 470*g**2 - 267*g**3 + 736*g**2 = 0. Calculate g.
0, 1/4, 11
Let w = -16634 + 16637. Factor -4/7*q**w + 4/7*q - 20/7 + 20/7*q**2.
-4*(q - 5)*(q - 1)*(q + 1)/7
Let o(b) = 3*b - 6. Let j(k) = -4*k + 7. Let z(a) = 4*j(a) + 5*o(a). Let y be z(-4). Factor 2*m**3 - 3*m**2 - y*m - 5*m**4 + 9*m**4 - m**2.
2*m*(m - 1)*(m + 1)*(2*m + 1)
Solve 9*f + 6*f + 1 + 5*f**2 + 7*f**2 - 7 - 9*f**3 = 0 for f.
-1, 1/3, 2
Let y(d) be the first derivative of -11 - 5/2*d**2 - 15/4*d**4 + 5*d**3 + 0*d + d**5. Find h such that y(h) = 0.
0, 1
Suppose 5*d = -z + 19, 0 = -0*d - 3*d - 2*z + 10. Factor -12*v**3 - 4 - 5*v**2 + 11*v**2 - 4*v + d*v**2 + 10*v**2.
-4*(v - 1)**2*(3*v + 1)
Let x(h) be the first derivative of -2*h**3/39 - 84*h**2/13 - 3528*h/13 - 164. Factor x(u).
-2*(u + 42)**2/13
Let p = -904 + 907. Let o(u) be the first derivative of 0*u**2 - 4*u + 4/3*u**p + 2. Find y such that o(y) = 0.
-1, 1
Suppose 16 = s + 4*g, -s - 3*s - g + 19 = 0. Solve -28*i**2 + 32*i**s - 71*i**4 - 18*i**3 - 18*i - 4 + 35*i**4 = 0 for i.
-2, -1, -1/2
Suppose 0 = 3*r + 5*k - 21, -5*r + 2*k + 9 = 5. Suppose -y - 4 = -6. Determine u so that 69*u - r*u**y - 69*u = 0.
0
Let x = -72 + 76. Factor -279 + 2*d**4 + 141 + 136 + x*d - 4*d**3.
2*(d - 1)**3*(d + 1)
Let u(t) be the second derivative of -t**5/5 + 18*t**4 - 648*t**3 + 11664*t**2 + 76*t. Solve u(x) = 0 for x.
18
Let x be -37 - -39 - ((-14)/(-6) + 3/(-3)). Solve 128/3 + 34/3*g**2 + x*g**3 + 160/3*g = 0.
-8, -1
Let i = 3 - -15. Suppose w + 4*o - i = 7, 168 = 4*w - o. Let 2*l**3 - 41*l**2 - 4*l**4 + 2*l**5 + w*l**2 = 0. Calculate l.
0, 1
Determine o, given that 0 + 1/3*o**3 + 2/3*o - o**2 = 0.
0, 1, 2
Let x(r) be the third derivative of r**8/840 - 2*r**7/175 + r**6/300 + 4*r**5/25 + 4*r**4/15 + 653*r**2. Factor x(s).
2*s*(s - 4)**2*(s + 1)**2/5
Find r such that 2 - 149*r - 2 - 171*r - 4*r**2 + 300*r = 0.
-5, 0
Let o be 4/((6*1)/3). Let g be (30/20)/(3/4). Let d + 2 - d**2 - g*d + o*d = 0. Calculate d.
-1, 2
Suppose -2*t = 2*s - 2, -2*t - 2*t = -3*s - 18. Suppose -37 = -4*z + 5*k, -4*k + 6 - 35 = -3*z. Factor 2*x**4 - 36*x - 15*x**t + 26*x**2 + z*x**3 + 12*x + 8.
2*(x - 2)**2*(x - 1)**2
What is r in -20/11 - 34/11*r - 16/11*r**2 - 2/11*r**3 = 0?
-5, -2, -1
Suppose -22*w + 30 = -16*w. Factor 2*y**3 - y**3 - 107 - 3*y**2 + y**4 + 0*y**4 - w*y + 105.
(y - 2)*(y + 1)**3
Factor 7*b + 75/4*b**2 + 1/4.
(3*b + 1)*(25*b + 1)/4
Let h(y) be the first derivative of 2/3*y**3 - 19 - 20*y + 3*y**2. Factor h(z).
2*(z - 2)*(z + 5)
Let 50*p - 10*p + 20*p**2 + 134*p**3 - 8*p**2 - 138*p**3 = 0. What is p?
-2, 0, 5
Let u(j) be the first derivative of -11 - 1/3*j**3 + 1/4*j**4 - j**2 + 0*j. Let u(c) = 0. What is c?
-1, 0, 2
Find s, given that 176/5 + 16*s - 92/5*s**2 + 4/5*s**3 = 0.
-1, 2, 22
Let h be (-1804)/(-176) - (-1 + -4)*-2. Find w, given that 3/4*w - w**2 + h*w**3 + 0 = 0.
0, 1, 3
Let j(x) = 5*x**2 - 16*x - 9. Let k(w) = -7*w**2 + 15*w + 7. Let h(c) = -3*j(c) - 4*k(c). Suppose h(s) = 0. What is s?
-1/13, 1
Suppose 206*c = 3*g + 208*c - 2, 2*c = -10*g + 2. Factor 6/7*i + g*i**2 - 4/7 - 2/7*i**3.
-2*(i - 1)**2*(i + 2)/7
Suppose -16 = -3*z + 2*l, z = -3*z + 4*l + 24. Factor 8*m**2 + 18*m**3 - 15*m**z + 4*m**2 + 2586*m + 3*m**5 - 2610*m.
3*m*(m - 2)**3*(m + 1)
Let m(s) be the first derivative of 5*s**6/18 + 10*s**5/3 - 45*s**4/4 - 160*s**3/9 + 130*s**2/3 + 80*s + 571. Solve m(a) = 0 for a.
-12, -1, 2
Let u be 1/3*(12 - 9)*-245. Let o be ((-1)/(-5))/(1 + u/252). Let -o*w + 26/5*w**2 + 8/5 - 5*w**4 + 9*w**3 = 0. Calculate w.
-1, 2/5, 2
Let u(v) = -9*v**5 - 108*v**4 - 5*v**3 - 5*v**2 + 5*v. Let q(a) = -10*a**5 - 108*a**4 - 6*a**3 - 6*a**2 + 6*a. Let d(c) = 5*q(c) - 6*u(c). Solve d(x) = 0.
-27, 0
Let g(s) = -39*s + 7. Let t be g(-3). Find n, given that -t*n**3 - 8 + 74*n + 41*n**4 - 94*n + 3*n**4 + 108*n**2 = 0.
-2/11, 1
Let r(p) be the first derivative of p**5/10 + 8*p**4 + 479*p**3/3 - 528*p**2 + 1089*p/2 - 97. Factor r(t).
(t - 1)**2*(t + 33)**2/2
Let y = -310 + 1551/5. Let q(i) be the second derivative of 1/30*i**6 - 12*i + 0 - y*i**5 - 2*i**2 + 2/3*i**3 + 1/4*i**4. Factor q(c).
(c - 2)**2*(c - 1)*(c + 1)
Let x(t) = -t + 5. Let a be x(-5). Factor a*u - u**4 - 12*u**2 + 0*u**3 + 8 - 14*u + 4*u**3 + 5*u**4.
4*(u - 1)**2*(u + 1)*(u + 2)
Let l(d) be the third derivative of 0 + 0*d - 1/504*d**8 + 1/180*d**6 - 7*d**2 + 0*d**3 - 1/90*d**5 + 1/315*d**7 + 0*d**4. What is t in l(t) = 0?
-1, 0, 1
Let j(y) be the third derivative of 0 - 26*y**2 - 1/6*y**4 + 0*y + 0*y**3 - 7/30*y**5 + 1/15*y**6. Factor j(z).
2*z*(z - 2)*(4*z + 1)
Let m(o) be the first derivative of o**5/35 - 2*o**4/21 - 2*o**3/21 + 4*o**2/7 - o - 8. Let d(g) be the first derivative of m(g). Let d(n) = 0. What is n?
-1, 1, 2
Let b(c) be the third derivative of -c**5/450 + 23*c**4/45 - 2116*c**3/45 - 140*c**2. What is r in b(r) = 0?
46
Suppose 78*v = 82*v - 32. Let l be (113 + 8)*2/v. Factor 12*o - 165/4*o**2 - 1 + l*o**3.
(o - 1)*(11*o - 2)**2/4
Let v(l) be the second derivative of l**6/120 + l**5/60 + 2*l**2 - 4*l. Let k(n) be the first derivative of v(n). Fin