r 2/3*h**4 - 2/3*h**2 - 1/3*h + 0*h**3 + 1/3*h**5 + 0.
h*(h - 1)*(h + 1)**3/3
Let q(u) be the second derivative of u**6/15 + 3*u**5/40 - u**4/24 - 2*u. Determine a so that q(a) = 0.
-1, 0, 1/4
Suppose b = -3*b + 28. Let f = b - 5. Let -2/7*c**f + 0 - 4/7*c**3 - 2/7*c**4 + 0*c = 0. Calculate c.
-1, 0
Let y = 20 + -12. Let p be (-4)/16 + 2/y. Factor p + 2/3*j**2 + j**3 + 0*j - 5/3*j**4.
-j**2*(j - 1)*(5*j + 2)/3
Let t = 0 + 0. Solve -3*o**4 + 13*o**4 - 8*o**5 - o + t*o**5 + 6*o**3 - 3*o**3 - 4*o**2 = 0 for o.
-1/2, -1/4, 0, 1
What is t in -4/7*t + 0 - 8/7*t**2 = 0?
-1/2, 0
Let -15/2*y**2 + 9/2*y - 1 + 11/2*y**3 - 3/2*y**4 = 0. Calculate y.
2/3, 1
Let q(d) be the second derivative of d**7/1050 + 2*d**6/225 + d**5/50 + d**3/6 - 7*d. Let m(k) be the second derivative of q(k). Factor m(w).
4*w*(w + 1)*(w + 3)/5
Let o(j) be the third derivative of -j**5/160 + j**4/64 + 41*j**2. Factor o(g).
-3*g*(g - 1)/8
Let w(z) be the first derivative of -5*z**4/4 + z**3/3 + 2*z**2 + 3. Let m(h) = 2*h**3 - 2*h. Let d(u) = 9*m(u) + 4*w(u). Factor d(a).
-2*a*(a - 1)**2
Let i(u) be the first derivative of -3*u**5/110 + 5*u**4/66 - u**3/33 - u**2/11 - 5*u - 1. Let l(s) be the first derivative of i(s). Factor l(r).
-2*(r - 1)**2*(3*r + 1)/11
Factor 1/2*s**4 - s + 0 + s**3 - 1/2*s**2.
s*(s - 1)*(s + 1)*(s + 2)/2
Suppose 4*v - 41 = 4*s - 9, -4*v - 4 = 5*s. Let u(n) be the third derivative of 0*n**3 + 0 - n**2 + 1/24*n**v - 1/60*n**5 + 0*n. Factor u(r).
-r*(r - 1)
Let p(z) be the third derivative of -z**5/120 + z**4/24 - z**3/12 - 7*z**2. Solve p(y) = 0 for y.
1
Let y(v) = -v**2 - 3*v + 40. Let m be y(5). Let u(d) be the second derivative of m - d + d**2 + d**3 + 1/2*d**4 + 1/10*d**5. Factor u(c).
2*(c + 1)**3
Let s(a) be the second derivative of a**4/4 + a. Let c be s(-1). Factor 6*k**3 - 2*k**3 + 2*k**2 + 2*k**5 + 6*k**4 + 2*k**c.
2*k**2*(k + 1)**3
Suppose 0*v + 2*q = -4*v, 0 = -3*v + 2*q + 14. Let t(u) be the third derivative of 0*u**3 + 0*u + 1/270*u**5 - u**v - 1/540*u**6 + 0*u**4 + 0. Factor t(k).
-2*k**2*(k - 1)/9
Let h be (3 + 1)*(2 - 0). Let c be (-2)/h - 26/(-40). Factor -2/5*t**3 + 4/5 - 6/5*t**2 + c*t**4 + 2/5*t.
2*(t - 2)*(t - 1)*(t + 1)**2/5
Let k(s) be the first derivative of 0*s**2 + 9 - 2/15*s**3 + 8/5*s. Solve k(p) = 0.
-2, 2
Suppose -3*u + 6 = -g, -7*u + 2*u - 4*g + 27 = 0. Find b such that -2*b**2 - u*b - 8 + 8*b + 3*b = 0.
2
Factor -2/9*q**3 - 4/9*q**2 - 2/9*q + 0.
-2*q*(q + 1)**2/9
Let l(o) = 3*o. Let p(c) = -c**2 + 11*c - 1. Let n(j) = -9*l(j) + 2*p(j). Factor n(k).
-(k + 2)*(2*k + 1)
Let r(f) be the second derivative of 1/60*f**5 + 0*f**4 - 4*f + 0*f**2 - 1/18*f**3 + 0. Let r(m) = 0. Calculate m.
-1, 0, 1
Solve -16*r + 3*r**2 - 3*r - 5*r + 48 = 0.
4
Find t such that 4/7*t**3 - 2/7*t**4 - 2/7*t - 2/7 - 2/7*t**5 + 4/7*t**2 = 0.
-1, 1
Let i be (7/(-189))/(22/24). Let t = 218/495 + i. Factor -1/5*u**2 - t - 3/5*u.
-(u + 1)*(u + 2)/5
Suppose -2*g + 6 = -5*a, g + a = -4 - 0. Let v be (g/(-4)*0)/2. Solve v*x**3 + 3*x**3 - 2*x**3 - x**2 = 0 for x.
0, 1
Suppose -4 = -2*f - 5*m - 0, -2*f = 2*m - 4. Let p(n) be the second derivative of n + 0*n**f + 1/3*n**3 - 1/6*n**4 + 0. Let p(a) = 0. Calculate a.
0, 1
Let a(g) be the second derivative of 5*g**9/3024 + g**8/420 - g**7/840 + g**3/2 + 4*g. Let h(s) be the second derivative of a(s). Factor h(m).
m**3*(m + 1)*(5*m - 1)
Let q(y) be the second derivative of 5*y**7/168 - 11*y**6/120 - 3*y**5/80 + 11*y**4/48 - y**3/12 - 26*y. Solve q(h) = 0.
-1, 0, 1/5, 1, 2
Let i(a) = -4*a**3 - 4*a**2 + 3 - 8*a**2 + 5*a**3. Let k be i(12). Solve g**2 - 4*g**2 - 3*g**k - g + 4*g**5 + 5*g**4 - 2*g**2 + 0*g = 0 for g.
-1, -1/4, 0, 1
Let f(j) be the first derivative of j**5/5 + j**4/4 - 2. Find g such that f(g) = 0.
-1, 0
Factor 4 - 7*o - 175*o**3 - 84*o**2 + 119*o**3 - 24*o**2 - 41*o.
-4*(o + 1)**2*(14*o - 1)
Let j(b) be the first derivative of 0*b - 1/12*b**3 - 1/4*b**2 + 3. Factor j(m).
-m*(m + 2)/4
Let q be ((-6)/32)/((-21)/14). Let s(p) be the first derivative of 0*p - 3 + 1/20*p**5 - q*p**2 + 1/4*p**3 - 3/16*p**4. Determine v so that s(v) = 0.
0, 1
Factor -6*i**3 + 3*i**5 - 7*i**5 + 81*i + 12*i**4 + 162 + i**5 + 6*i**4 - 108*i**2.
-3*(i - 3)**3*(i + 1)*(i + 2)
Let l(v) be the second derivative of -2*v**7/3 - 36*v**6/5 - 15*v**5 - 16*v**4/3 + 8*v**3 - 57*v. Suppose l(y) = 0. Calculate y.
-6, -1, 0, 2/7
Suppose 0 = 7*v - 3*v - 8. Let y(t) be the second derivative of 1/48*t**4 + 0*t**v + 1/24*t**3 - t + 0. Factor y(h).
h*(h + 1)/4
Solve 86*s**5 + 12*s**2 + 15*s**3 + 13*s**2 + 10*s - 5*s**4 - 91*s**5 = 0 for s.
-1, 0, 2
Let h(d) be the second derivative of -d**4/12 - d**3/3 - d**2/2 + d. Find l, given that h(l) = 0.
-1
Factor 0 - 4/3*z**3 - 2/3*z**2 + 0*z - 2/3*z**4.
-2*z**2*(z + 1)**2/3
Let o(g) be the third derivative of -g**8/84 + 2*g**7/21 - 7*g**6/30 + g**5/5 - 12*g**2. Suppose o(q) = 0. What is q?
0, 1, 3
Factor 0*j**2 + 1/5*j**5 - 3/5*j**4 + 0*j + 0 + 2/5*j**3.
j**3*(j - 2)*(j - 1)/5
Factor r**4 - r**2 - 15*r**4 - 35*r**4 - 21*r**3 + 7*r**3.
-r**2*(7*r + 1)**2
Suppose 0 = 3*x + 3*a - 5 - 4, -4*a = -2*x + 12. Factor 0*j + 8/5*j**5 - 6/5*j**3 + 0*j**x + 0 + 2/5*j**2.
2*j**2*(j + 1)*(2*j - 1)**2/5
Suppose 3*s = 4*s - 8. Let r be (-4)/s + (-22)/(-4). Suppose -i**3 + 1/2 + 3/2*i - 3/2*i**4 + i**2 - 1/2*i**r = 0. Calculate i.
-1, 1
Let j(q) be the third derivative of 0 - 1/14*q**5 + 4*q**2 + 1/21*q**4 + 0*q + 4/21*q**3. Let j(v) = 0. What is v?
-2/5, 2/3
Let a be 2/(-2) - (-59)/2. Let u = -28 + a. Determine l so that -1/2*l**2 - u*l + 0 = 0.
-1, 0
Suppose 140 = -0*g + 5*g. Let v be 8/g - (-1 + 1). Determine s, given that 0*s - 8/7*s**3 - v*s**2 + 0 = 0.
-1/4, 0
What is h in 4/5 + 6/5*h + 0*h**2 - 2/5*h**3 = 0?
-1, 2
Let c = 0 - 0. Let z be 1/2*(-24)/(-72). Solve -1/6*i**2 + c*i + z*i**4 + 1/6*i**3 - 1/6*i**5 + 0 = 0 for i.
-1, 0, 1
Let l(p) be the first derivative of p**3 - 3*p**2 + 3*p + 8. Solve l(g) = 0.
1
Let f(z) be the third derivative of z**5/300 + z**4/30 - z**3/6 + 5*z**2. Factor f(a).
(a - 1)*(a + 5)/5
Let b be (-1 - 2)/(-18 - -13). What is g in 0 + 47/5*g**4 - 4/5*g - b*g**3 - 4*g**5 - 4*g**2 = 0?
-2/5, -1/4, 0, 1, 2
Let v(y) be the second derivative of -3*y**5/10 + 4*y**3/9 + 4*y. Factor v(g).
-2*g*(3*g - 2)*(3*g + 2)/3
Let a(b) be the first derivative of -b**5/4 + b**4/4 + b**3/3 - 3*b + 1. Let f(d) be the first derivative of a(d). Let f(v) = 0. Calculate v.
-2/5, 0, 1
Let q(x) = x**3 - 1. Let c(u) = -9*u**3 - 4*u**2 + 5. Let n(o) = c(o) + 5*q(o). What is z in n(z) = 0?
-1, 0
Let n be 153/12 - 2/(-8). Suppose -5*l - 4*b + 1 = n, -3*l = -2*b - 6. Factor 0 + t**4 - t**2 + l.
t**2*(t - 1)*(t + 1)
Suppose p - 3*l = -0*l - 3, 4*l = 4*p - 4. Suppose -2 = -o + p. Factor -2*i + 2*i**2 + o*i**3 + 6*i**4 - 3*i**3 - 8*i**2.
2*i*(i - 1)*(i + 1)*(3*i + 1)
Suppose 5*s - 13*s = -32. Determine b so that 0 + 8/9*b - 8/9*b**2 + 4/9*b**s - 2/3*b**3 + 2/9*b**5 = 0.
-2, 0, 1
Let z(y) be the first derivative of 5*y**4/4 - 5*y**3 + 15*y**2/2 - 5*y + 12. Factor z(l).
5*(l - 1)**3
Let i(r) be the third derivative of -r**7/1470 - r**6/105 - 2*r**5/35 - 4*r**4/21 - 8*r**3/21 - 19*r**2. Factor i(s).
-(s + 2)**4/7
Let r be (4 - (-410)/(-105))/((-6)/(-14)). Solve -r - 4/9*q - 2/9*q**2 = 0.
-1
Let g(h) = 2*h - 4. Let x be g(3). Suppose -2*i + 5 = 1. Factor -f + f**3 - f**2 - 2*f**4 + i*f**x + f**4.
-f*(f - 1)**2*(f + 1)
Let q be ((-4)/8)/(14/(-7628)). Let u = 273 - q. Factor 2/7*o**2 + 2/7 - u*o.
2*(o - 1)**2/7
Factor 2*r**2 + 20*r - 4*r**2 - 2*r**2.
-4*r*(r - 5)
Determine c, given that 12/7*c**2 - 12/7*c**5 + 8/7*c - 12/7*c**3 - 4*c**4 + 0 = 0.
-1, 0, 2/3
Let g(c) be the first derivative of -c**5/100 + c**3/10 + c**2/5 - 3*c - 1. Let w(t) be the first derivative of g(t). Factor w(h).
-(h - 2)*(h + 1)**2/5
Let v(h) be the first derivative of 5*h**6/6 - 3*h**5 + 5*h**4/2 + 10*h**3/3 - 15*h**2/2 + 5*h - 8. Let v(g) = 0. What is g?
-1, 1
Let d(o) = 7*o**2 - 3*o - 2. Let h = 7 - 13. Let l(m) = -14*m**2 + 5*m + 4. Let f(c) = h*l(c) - 15*d(c). Factor f(x).
-3*(x - 1)*(7*x + 2)
Let i(p) = -4*p**2 + 4*p + 2. Let j(f) = -f**2 + f. Let n(s) = -i(s) + 3*j(s). Factor n(y).
(y - 2)*(y + 1)
Suppose 3 = 5*y - 7. Suppose -14 + 6*j**y - 2*j**2 + 32*j + 78 = 0. What is j?
-4
Find k such that 0*k**3 + 0*k + 0*k**4 + 0*k**2 + 0 - 2/5*k**5 = 0.
0
Let l be 35/50 - 5