Suppose 0 = -6*h + 9 + r. Determine o, given that 2*o**h - 2/3*o**5 + 0 - 2*o**4 - 2/3*o**3 + 4/3*o = 0.
-2, -1, 0, 1
Let y(d) be the second derivative of -1/10*d**6 - 5*d + 1/4*d**4 + 0*d**5 + 0*d**3 + 0*d**2 + 0. Solve y(a) = 0.
-1, 0, 1
Let z(t) be the second derivative of -1/4*t**5 + 0 - 24*t - 5/2*t**4 - 10*t**3 - 20*t**2. Solve z(m) = 0.
-2
Let u(y) = -y + 1. Let n(h) = -4*h**2 - 74*h - 2. Let o(a) = n(a) + 2*u(a). Factor o(x).
-4*x*(x + 19)
Factor 1/7*o**2 + 0 - 3/7*o.
o*(o - 3)/7
Let q(b) be the third derivative of b**8/2016 + 4*b**7/315 + 7*b**6/72 + b**5/9 - 71*b**4/144 - 14*b**3/9 - 19*b**2 + 15*b. Let q(v) = 0. Calculate v.
-8, -7, -1, 1
Let t(x) be the first derivative of x**4/20 + 29*x**3/15 + 39*x**2/2 - 45*x + 4. What is z in t(z) = 0?
-15, 1
Let z(t) = -8*t**2 - 116*t - 1568. Let f(d) = -27*d**2 - 350*d - 4704. Let w(r) = -2*f(r) + 7*z(r). Determine a so that w(a) = 0.
-28
Solve 2/17*k**3 - 56/17 - 6/17*k**2 - 48/17*k = 0.
-2, 7
Let y(j) be the second derivative of -j**6/30 + j**5/10 - j**4/12 + 3*j. Factor y(m).
-m**2*(m - 1)**2
Let f(x) be the second derivative of x**7/56 - 5*x**6/36 + x**5/6 + 5*x**4/3 - 31*x**3/6 + 6*x. Let m(u) be the second derivative of f(u). Factor m(z).
5*(z - 2)**2*(3*z + 2)
Suppose 4*z = -2*n + 16, 19*n + 6 = 5*z + 18*n. Suppose -z*q - 4 = -3*d + 3, 5*d = 25. Solve 0*w - 1/3*w**5 + 1/3*w**3 + 0 - 1/6*w**q + 1/6*w**2 = 0.
-1, -1/2, 0, 1
Let f(z) be the first derivative of 9*z**4/20 - 28*z**3/5 + 33*z**2/2 + 30*z + 213. Factor f(l).
3*(l - 5)**2*(3*l + 2)/5
Let q(m) = -m**3 - 4*m**2 - 15. Let f be q(-5). Let v(n) = -2*n**2 - n. Let i(c) = -3*c - 3 + 3 - 4*c**2. Let d(p) = f*v(p) - 6*i(p). Solve d(b) = 0.
-2, 0
Let x be ((-845)/(-1352))/(3/4). Factor 1/6*q**3 + 1/2 - x*q + 1/6*q**2.
(q - 1)**2*(q + 3)/6
Factor 4/3*d**4 + 0*d + 16*d**2 - 28/3*d**3 + 0.
4*d**2*(d - 4)*(d - 3)/3
Suppose 4*l = -3*l - 14. Let p be -10 - 42/(-6) - 7/l. What is q in -1/4*q**2 + 3/4*q - p = 0?
1, 2
Let m(i) = i**2 - 4. Let s be m(3). Find j such that 37*j**3 - 31*j**3 - 3*j - 3*j**s + 0*j = 0.
-1, 0, 1
Let d(n) be the third derivative of -n**10/6048 + n**9/1728 - n**8/2016 + 7*n**5/20 - 11*n**2. Let g(y) be the third derivative of d(y). Solve g(o) = 0.
0, 2/5, 1
Suppose -3*a + 19 = o, 2*o - 20 = -2*a - 2. Factor -4*v**4 - 2*v**2 + 6*v**3 - 3*v**a + 2*v**2 + 2*v**2 - 5*v**3.
-v**2*(v + 1)**2*(3*v - 2)
Let x(l) = 3*l**2 + 11*l - 40. Let s be x(-6). Let y(j) be the second derivative of 1/40*j**5 + 0 - 10*j - 1/12*j**3 + 1/2*j**s - 1/12*j**4. Factor y(t).
(t - 2)*(t - 1)*(t + 1)/2
Let 40*y**2 - 80*y**4 + 40 + 130*y - 235/2*y**3 - 25/2*y**5 = 0. What is y?
-4, -2, -1, -2/5, 1
Let b(t) = -4*t - 27. Let v be b(-8). Let x be v + 25/(-5) + 3. What is s in 2/9*s**5 + 0 - 2/3*s**4 - 4/9*s + 2/3*s**2 + 2/9*s**x = 0?
-1, 0, 1, 2
Let p(x) = -x**4 + 7*x**3 - 12*x**2 - 166*x - 122. Let r(h) = -2*h**4 + 15*h**3 - 25*h**2 - 331*h - 245. Let d(n) = 11*p(n) - 6*r(n). Factor d(m).
(m - 8)**2*(m + 1)*(m + 2)
Let h = -4/23233 + 6482027/116165. Determine c, given that -81/5*c**4 - 274/5*c**2 - 84/5*c - 8/5 - h*c**3 = 0.
-2, -1, -2/9
Let z(g) be the first derivative of g**3 + 1 + 0*g**2 + 0*g - 1/360*g**6 + 1/40*g**5 - 1/12*g**4. Let x(y) be the third derivative of z(y). Factor x(u).
-(u - 2)*(u - 1)
Let o be ((-9)/30)/((-72)/10 - -6). Let h(q) be the first derivative of -6 + 0*q + 1/6*q**3 - o*q**2. Factor h(j).
j*(j - 1)/2
Let f(v) = 68*v**2 + 168*v - 1320. Let j(x) = 3*x**2 + x - 1. Let w(y) = -f(y) + 24*j(y). Let w(a) = 0. Calculate a.
18
Let t(u) = 8*u**4 + 8*u**3 - 7*u**2 - 3*u. Let r(n) = n**4 + n**3 + n**2 - n. Let h(j) = -3*r(j) + t(j). Find q such that h(q) = 0.
-2, 0, 1
Let a(j) be the second derivative of -j**5/40 + j**3/3 - j - 91. Factor a(s).
-s*(s - 2)*(s + 2)/2
Let h(d) be the second derivative of 0 - 1/12*d**4 + 1/3*d**3 + 0*d**2 - 17*d. Factor h(w).
-w*(w - 2)
Let q be ((-9)/(-42))/((-30)/(-160)). Suppose 0 + 2/7*t**3 + 6/7*t - q*t**2 = 0. What is t?
0, 1, 3
Let x(a) be the second derivative of 0*a**2 + 0 - 1/5*a**4 - 5*a + 1/50*a**5 + 1/3*a**3. Factor x(z).
2*z*(z - 5)*(z - 1)/5
Let f = -105 - -75. Let l be f/(-5) - 0 - 2. Factor 0 + 3*p**3 + 0*p + 3/2*p**2 + 3/2*p**l.
3*p**2*(p + 1)**2/2
Let l(c) be the first derivative of 40 - 96/5*c**5 - 9/2*c**4 + 0*c - 64/3*c**6 + 0*c**2 + 0*c**3. Let l(t) = 0. What is t?
-3/8, 0
Let g = 90 + -66. Let r(o) = 2*o**3 - 49*o**2 + 25*o - 21. Let h be r(g). Factor 4/3 - 2/3*s**h - 4/3*s**2 + 2/3*s.
-2*(s - 1)*(s + 1)*(s + 2)/3
Let h be (-1)/14*(953 + -961). Factor h*m - 5/7 + 1/7*m**2.
(m - 1)*(m + 5)/7
Let c(i) = -4*i**3 + 8*i**2 + 3*i - 4. Let h(l) be the first derivative of -3*l**4/4 + 7*l**3/3 + 3*l**2/2 - 3*l - 14. Let b(g) = -4*c(g) + 5*h(g). Factor b(f).
(f + 1)**3
Let w be ((-4004)/495 - -8)*(-3)/2. Let h be 0*(0 - (-3)/(-6)). Factor w*c**2 + 0*c + h.
2*c**2/15
Let k be 1*-21 + 14763/518. Suppose -6 - 3/2*f**2 + k*f = 0. Calculate f.
1, 4
Let p(w) = 26*w**2 - 12. Let b(a) = -9*a**2 + 4. Let z(h) = -14*b(h) - 5*p(h). Factor z(j).
-4*(j - 1)*(j + 1)
Let r be 10 + -7 + 3 + (-52)/10. Factor 0 + 4/5*m**3 - 8/5*m**2 + r*m.
4*m*(m - 1)**2/5
What is q in 5/3*q**2 - 320/3 + 50*q = 0?
-32, 2
Suppose 95 = 35*s - 10. Determine k so that -1/4 - 1/8*k + 1/4*k**2 + 1/8*k**s = 0.
-2, -1, 1
Let d(m) be the second derivative of -3/4*m**2 + 0 - 1/4*m**4 + 15*m + 5/8*m**3 + 3/80*m**5. Let d(l) = 0. Calculate l.
1, 2
Let j(a) be the second derivative of -a**4/96 - 13*a**3/8 - 1521*a**2/16 - 278*a. Factor j(q).
-(q + 39)**2/8
Let n(y) = 5*y**2 - 1. Let v be ((-1 - 0) + 0)*1. Let t be n(v). Factor -3*g**3 - g**4 + 3*g**3 - 3*g**3 + t*g**4.
3*g**3*(g - 1)
Let g(r) be the second derivative of -3*r**5/100 - r**4/10 + 7*r**3/10 - 6*r**2/5 + 11*r. Factor g(s).
-3*(s - 1)**2*(s + 4)/5
Let u = 152176/11 - 13834. Factor 4/11 + u*g - 2/11*g**2.
-2*(g - 2)*(g + 1)/11
Let v(a) be the second derivative of -4*a**7/7 + 31*a**6/10 - 183*a**5/40 + 15*a**4/8 + 6*a + 8. Solve v(p) = 0.
0, 3/8, 1, 5/2
Let x(a) be the first derivative of -a**4/3 - 20*a**3/9 - 16*a**2/3 - 16*a/3 + 7. Factor x(u).
-4*(u + 1)*(u + 2)**2/3
Let p(l) be the second derivative of l**7/280 + l**6/60 + l**5/40 + 23*l**3/6 + 36*l. Let f(w) be the second derivative of p(w). Factor f(a).
3*a*(a + 1)**2
Let p(d) be the first derivative of 3*d**4/16 + 3*d**3/4 - 33*d**2/4 - 18*d - 53. Find j, given that p(j) = 0.
-6, -1, 4
Let d(u) = -u**2 + 19*u - 34. Let h be d(17). Suppose -3*t - 3*y + 3 = h, 3*t - 7*t + 13 = y. Factor 1/5*r**2 - 1/5*r**t + 0 + 1/5*r - 1/5*r**3.
-r*(r - 1)*(r + 1)**2/5
Let x(s) be the first derivative of -s**6/24 + 7*s**5/20 - 11*s**4/16 - 19*s**3/12 + 15*s**2/2 - 9*s - 89. Let x(r) = 0. Calculate r.
-2, 1, 2, 3
Let d = -22 + 24. Let g(u) = u**2 - 11*u + 24. Let l be g(8). Solve -2/3*p**d + l*p + 0 = 0.
0
Suppose -6 = -6*j + 3*j. Factor 5*n - j*n**2 - 5*n - 4*n.
-2*n*(n + 2)
Let b(a) be the third derivative of -a**5/420 + a**4/28 - 3*a**3/14 + 61*a**2. Factor b(i).
-(i - 3)**2/7
Let f(g) be the first derivative of -g**4 + 2/3*g**3 - 1/5*g**5 - 5 - g + 6*g**2. Let u(d) be the first derivative of f(d). Factor u(c).
-4*(c - 1)*(c + 1)*(c + 3)
Let p(g) be the third derivative of g**5/270 - 4*g**4/3 + 192*g**3 + 471*g**2. Factor p(j).
2*(j - 72)**2/9
Let r(k) be the first derivative of 2*k**3/3 - 19*k**2/5 + 28*k/5 + 152. Let r(u) = 0. What is u?
1, 14/5
Let -7*u**4 + 16*u**4 - 32*u + 62*u**2 - 5*u**4 - 6*u**4 - 3*u**3 - 25*u**3 = 0. What is u?
-16, 0, 1
Let w(x) be the third derivative of -x**5/5 - 13*x**4/6 + 20*x**3/3 + 34*x**2. Factor w(a).
-4*(a + 5)*(3*a - 2)
Suppose -4*s = -4*k + 4, s + 11 = 5*s + k. Find z, given that -14*z**2 + 5*z**2 + 10 + 4*z**s + 5*z = 0.
-1, 2
Let k = 10501/9765 - 26/217. Let h = 14/9 - k. What is r in 0 + 3/5*r**2 - 3/5*r**4 + h*r**5 - 3/5*r**3 + 0*r = 0?
-1, 0, 1
Let i be (-2)/4 - 44/(-8). Let b be (-14)/28*(3 + 1). Let h(v) = 8*v**2 + 5*v - 3. Let m(n) = 4*n**2 + 2*n - 2. Let t(a) = b*h(a) + i*m(a). Factor t(s).
4*(s - 1)*(s + 1)
Suppose 3*k = k + 10. Suppose -4*l + 1 = 3*f, 5*l = k*f + 36 + 9. Factor -4*s**2 - 3*s**3 + s**3 - s**l - s - s**3 + s**2.
-s*(s + 1)**3
Let r(v) be the third derivative of -v**11/66528 + v**10/75600 - v**5/5 - 9*v**2. Let l(x) be the third derivative of r(x). Solve l(q) = 0 for q.
0, 