z = -9/8 - -21/8. Let g(y) = -y - 1. Let h be g(-1). Let h*c**2 - 3 - 9/2*c + z*c**3 = 0. Calculate c.
-1, 2
Let t be (2/((-8)/(-28)))/(-4) + 2. Suppose 3*w - w - 6 = 0. Factor -1/2*s**4 + 0 - 1/4*s + 1/2*s**2 + 0*s**w + t*s**5.
s*(s - 1)**3*(s + 1)/4
Suppose -12*l + 12*l = -16*l. Factor l*a**3 + 0*a**2 - 2/5*a**4 + 0 + 2/5*a**5 + 0*a.
2*a**4*(a - 1)/5
Let b be (-8)/(-28) - (-5 + 416/84). Determine w so that -1/3*w**4 - b*w**2 + 0*w - 2/3*w**3 + 0 = 0.
-1, 0
Suppose -32/3*o**3 + 14/3*o - 2/3 - 16/3*o**2 = 0. Calculate o.
-1, 1/4
Let s(o) be the first derivative of -o**8/840 + o**7/105 - o**6/45 + 4*o**3/3 + 2. Let v(j) be the third derivative of s(j). Suppose v(w) = 0. Calculate w.
0, 2
Let m(b) = -6*b**4 + 18*b**3 + 14*b**2 - 11*b - 1. Let v(h) = 13*h**4 - 35*h**3 - 27*h**2 + 22*h + 1. Let g(x) = -5*m(x) - 3*v(x). Suppose g(j) = 0. What is j?
-1, 1/3, 2
Find p such that -8/3 - 2/3*p**2 - 8/3*p = 0.
-2
Let r(x) be the second derivative of 0 + 1/18*x**3 + 4/9*x**4 + 13/45*x**6 - 1/18*x**7 + 3*x - 1/3*x**2 - 17/30*x**5. Factor r(s).
-(s - 1)**4*(7*s + 2)/3
Let y(l) = -110*l**3 - 220*l**2 - 110*l + 45. Let j(c) = -5*c**3 - 10*c**2 - 5*c + 2. Let r(g) = -45*j(g) + 2*y(g). Factor r(n).
5*n*(n + 1)**2
Let y(h) be the second derivative of h**7/315 - h**6/45 + h**5/15 - h**4/9 + h**3/9 + h**2 - h. Let d(g) be the first derivative of y(g). Factor d(n).
2*(n - 1)**4/3
Let p(x) be the third derivative of -1/12*x**4 - 1/30*x**5 + 0*x**3 + 0 + 0*x - 4*x**2. Factor p(v).
-2*v*(v + 1)
Let w = 2558/1065 - 2/1065. Suppose -w - 4*p**2 - 4/5*p**3 - 28/5*p = 0. Calculate p.
-3, -1
Let p = 133 - 133. Factor p + 2/5*i**3 + 4/5*i - 6/5*i**2.
2*i*(i - 2)*(i - 1)/5
Let a be ((-24)/14)/((-25)/35). Determine n so that 24/5*n + 3*n**2 + 3/5*n**3 + a = 0.
-2, -1
Let c(o) be the third derivative of -2/27*o**3 + 0 + 0*o - 2/135*o**5 + 5/108*o**4 + 1/540*o**6 - 4*o**2. Factor c(n).
2*(n - 2)*(n - 1)**2/9
Let u = 20411/13 - 1567. Factor 14/13*o**3 + u*o + 36/13*o**2 + 16/13 + 2/13*o**4.
2*(o + 1)*(o + 2)**3/13
What is q in -4*q**2 + 35*q - 6 - 19*q - 8*q**2 + 2*q**4 = 0?
-3, 1
Let q(g) = -g**3 + 4*g**2 - 2*g + 1. Let l be q(2). Let w(j) be the third derivative of 1/30*j**l + 0*j**3 + 0*j**4 + 2*j**2 + 1/60*j**6 + 0*j + 0. Factor w(z).
2*z**2*(z + 1)
Let c(r) be the third derivative of -r**5/4 + 3*r**4/2 - 2*r**3 + 5*r**2. What is y in c(y) = 0?
2/5, 2
Let c(o) be the third derivative of -27*o**7/70 - 27*o**6/10 - 9*o**5/2 - 7*o**4/2 - 3*o**3/2 - 19*o**2. Solve c(g) = 0.
-3, -1/3
Let c(j) = 5*j**4 - 7*j**3 + 2*j**2 + 6. Suppose 4 = 3*x - 11. Suppose -x*g - 41 = -11. Let u(s) = -s**4 + s**3 - 1. Let p(w) = g*u(w) - c(w). Factor p(h).
h**2*(h - 1)*(h + 2)
Factor 4/7*w**3 + 108/7*w + 60/7*w**2 + 52/7.
4*(w + 1)**2*(w + 13)/7
Let w(t) be the third derivative of -2*t**2 + 0*t + 0*t**3 - 1/105*t**7 + 1/168*t**8 + 1/30*t**5 - 1/20*t**6 + 1/6*t**4 + 0. Factor w(u).
2*u*(u - 2)*(u - 1)*(u + 1)**2
Let s be 0/(3/(-1 - -4)). Let w(u) = 3*u**2 + 2*u + 1. Let a be w(-1). Let 1/2*p**a + s + 0*p = 0. Calculate p.
0
Let f(u) be the second derivative of -u**6/2340 + u**5/390 + u**3 + 3*u. Let b(a) be the second derivative of f(a). Factor b(c).
-2*c*(c - 2)/13
Let 4/5*r**2 + 0 - 2/5*r**3 - 2/5*r = 0. Calculate r.
0, 1
Suppose -2*a + 7 - 3 = 0. Let c = 98 + -684/7. Factor -c*h**a - 4/7 - 6/7*h.
-2*(h + 1)*(h + 2)/7
Let z be 2/2*(-4)/(-1). Suppose -z*j + j**2 + 2*j**2 - 5*j + 2 + 4 = 0. Calculate j.
1, 2
Let u(y) be the first derivative of -y**6/360 + y**5/60 - y**4/24 + y**3/3 - 1. Let c(m) be the third derivative of u(m). Factor c(k).
-(k - 1)**2
Let n be (2 + 2)/(6/9). Let g be 6*((-2)/(-1))/n. Factor 3*x - x**5 + 3*x**4 - 4 - 2 - 2*x**3 + 5 - 2*x**g.
-(x - 1)**4*(x + 1)
Let q(h) be the second derivative of h**7/21 - 4*h**6/15 + h**5/2 - h**4/3 - 50*h. Factor q(z).
2*z**2*(z - 2)*(z - 1)**2
Suppose s - 2 = -x, 2*x + 4 = -0. Find p such that p - p**3 + 3*p - p**s - 4*p = 0.
-1, 0
Let m be (-45)/(-84) - (-8)/(-28). Find v, given that -1/4*v**3 + 0*v**2 + 0*v - m*v**5 - 1/2*v**4 + 0 = 0.
-1, 0
Factor -9/4 + 105/8*i**2 + 33/8*i.
3*(5*i + 3)*(7*i - 2)/8
Let p = 21 - 12. Suppose 4*m = -3*c + 6, 3*m - 8 = m + c. Let p*r**m - r + 5*r - 4*r + 12*r**4 - 3*r**2 = 0. Calculate r.
-1, 0, 1/4
Let g(x) = -3*x**3 - 24*x**2 - 70*x + 30. Let j(l) = 3*l**3 + 23*l**2 + 71*l - 31. Let c(t) = 6*g(t) + 5*j(t). Factor c(h).
-(h + 5)**2*(3*h - 1)
Let n(r) be the third derivative of -r**9/24192 + r**7/6720 + r**3/6 + 7*r**2. Let p(o) be the first derivative of n(o). Factor p(g).
-g**3*(g - 1)*(g + 1)/8
Let v(j) be the first derivative of -j**6/60 + j**5/15 - j**4/12 - j**2/2 + 1. Let g(p) be the second derivative of v(p). Factor g(d).
-2*d*(d - 1)**2
Let o(r) be the first derivative of r**5/240 + r**4/96 - r**3/12 + r**2/2 + 3. Let u(g) be the second derivative of o(g). Factor u(a).
(a - 1)*(a + 2)/4
Suppose -8*h + 27 = h. Let k(s) be the first derivative of -3/8*s**4 + 1/2*s + 1 - 1/4*s**2 - 5/6*s**h. Suppose k(p) = 0. Calculate p.
-1, 1/3
Let s(k) = -k**4 + 10*k**3 + 6*k**2 - 38*k - 25. Let m(g) = -g**4 + 19*g**3 + 12*g**2 - 77*g - 49. Let x(o) = -2*m(o) + 5*s(o). Factor x(h).
-3*(h - 3)**2*(h + 1)**2
Let y(q) be the second derivative of 7*q**6/225 - 8*q**5/75 + 11*q**4/90 - 2*q**3/45 + 11*q. Factor y(b).
2*b*(b - 1)**2*(7*b - 2)/15
Let s(b) be the third derivative of 0 + 0*b**5 + b**2 - 1/168*b**8 - 1/60*b**6 - 2/105*b**7 + 0*b**3 + 0*b + 0*b**4. Factor s(q).
-2*q**3*(q + 1)**2
Let c(r) = -r**3 - 9*r**2 - 9*r - 8. Let m be c(-8). Let b be (3/12)/(1/2). Factor -5/2*y**3 + m + 2*y**4 + b*y**2 + 0*y.
y**2*(y - 1)*(4*y - 1)/2
Let m(d) be the third derivative of -d**5/390 - d**4/156 + 2*d**3/39 + 29*d**2. Find w such that m(w) = 0.
-2, 1
Let h(b) = -2*b**2 + 20*b - 7. Let a(r) = r**2 - 7*r + 2. Let z(f) = 11*a(f) + 4*h(f). Let z(g) = 0. What is g?
-2, 1
Suppose 3*h + 3*n = 6*n + 27, -16 = 4*n. Suppose -4*k + x + 16 + 3 = 0, -h*k - 3*x = -11. Suppose -2*l + 8 + k*l**2 - 2*l**3 - 8 = 0. Calculate l.
0, 1
Suppose 0 = 3*x - 3 - 3. Let 17*g - 4 - 20*g**2 + 2*g**x + g = 0. Calculate g.
1/3, 2/3
Let x(y) be the third derivative of -y**8/56 + 41*y**7/70 - 32*y**6/5 + 239*y**5/10 - 171*y**4/4 + 81*y**3/2 - 67*y**2. Solve x(k) = 0.
1/2, 1, 9
Find k such that -4/3 + 1/3*k**3 + k**2 + 0*k = 0.
-2, 1
Suppose -5*n + i + 9 = -n, 4*n = -5*i + 3. Factor -52*u**4 + 0*u**2 + 0*u**n + 12*u - 9*u**3 + 55*u**4.
3*u*(u - 2)**2*(u + 1)
Let x be (-6 - -9) + 0 - (-6)/3. Let 2/9*n**4 + 0*n + 0*n**2 + 0 + 0*n**3 - 2/9*n**x = 0. What is n?
0, 1
Suppose 8/5 + 48/5*k + 42/5*k**2 - 98/5*k**3 = 0. Calculate k.
-2/7, 1
Solve -25*w - 6*w**2 - 10 + 9*w**3 + 4*w + 4 = 0 for w.
-1, -1/3, 2
Suppose 3*x + 4*p = 4, -4*x + 24 = -2*p - 2*p. Let f(h) be the first derivative of 3/4*h**4 - 1/4*h**6 + x + 0*h**3 + 0*h**5 + 0*h - 3/4*h**2. Factor f(t).
-3*t*(t - 1)**2*(t + 1)**2/2
Let x(k) = -2*k**2 + 4*k + 6. Let q(b) = 5*b**2 - 12*b - 17. Let a(y) = -3*q(y) - 8*x(y). Factor a(p).
(p + 1)*(p + 3)
Let r(b) = 11*b**2 + 4*b - 1. Let x(z) be the second derivative of -z**4/2 - z**3/3 - 2*z. Let w(y) = 4*r(y) + 7*x(y). Determine c, given that w(c) = 0.
-2, 1
Suppose 4*x = -5*u - x + 35, -u + 5*x = -25. Suppose -5 = -5*v + u. Factor 2/7*c**2 + 0 - 2/7*c**4 - 2/7*c**5 + 0*c + 2/7*c**v.
-2*c**2*(c - 1)*(c + 1)**2/7
Let n = 1 + 1. Let c = 16/11 - 31/44. Find q such that -c*q + 1/2 + 1/4*q**n = 0.
1, 2
Suppose -m + 9 = -0*m. Determine n so that 3*n + n**2 + m*n**3 - 15*n**2 + 2*n**2 = 0.
0, 1/3, 1
Let o(q) = q**4 - 2*q**3 - 2*q**2 - 2*q + 3. Let m(v) = -v**3 - v + 1. Let d(u) = -2*m(u) + o(u). Factor d(p).
(p - 1)**2*(p + 1)**2
Suppose -1 = -3*a + 5. Find c such that -5 - c**a + 4 + 2 = 0.
-1, 1
Suppose -32/5*q - 24/5*q**2 - 12/5 + 4/5*q**4 + 0*q**3 = 0. What is q?
-1, 3
Let v(z) be the third derivative of -z**8/56 - 25*z**7/147 - 251*z**6/420 - 223*z**5/210 - 22*z**4/21 - 4*z**3/7 - 26*z**2. Find h, given that v(h) = 0.
-3, -1, -2/3, -2/7
Let d(u) be the first derivative of 0*u + 3 - 1/60*u**5 + 3/2*u**2 - 1/6*u**3 + 1/12*u**4. Let g(c) be the second derivative of d(c). Factor g(m).
-(m - 1)**2
Let b = -27 + 19. Let d(m) = -11*m**3 + m**2 - 9*m - 5. Let a(o) = -4*o**3 - 3*o - 2. Let r(f) = b*a(f) + 3*d(f). Factor r(n).
-(n - 1)**3
Factor -1/4*p**2 + 0 - 3/2*p.
-p*(p + 6)/4