ve of i(y). Factor j(g).
g**2*(g + 2)*(5*g - 2)
Let h(z) = -z**2 - z + 1. Let r(t) = t**3 + 6*t**2 + 4*t - 4. Let v be r(-5). Let b(m) = -6*m**2 - 12*m + 9. Let a(n) = v*b(n) - 9*h(n). Solve a(d) = 0.
0, 1
Let o(h) = -h**4 + 1. Let l(g) = 4*g**4 - 4*g**3 - 24*g**2 + 16*g + 2. Let y(s) = -l(s) + 2*o(s). Let y(v) = 0. Calculate v.
-2, 0, 2/3, 2
Let f(k) = -5*k**4 + 7*k**3 - 11*k**2 + k - 2. Let y(v) = -66*v**4 + 90*v**3 - 144*v**2 + 12*v - 27. Let b(l) = -27*f(l) + 2*y(l). Factor b(a).
3*a*(a - 1)**3
Let y = 194/273 - 4/91. Suppose 1/6*z - 2/3*z**4 + 1/2*z**3 - 2/3*z**5 + y*z**2 + 0 = 0. Calculate z.
-1, -1/2, 0, 1
Let o(c) = -46*c**3 + 122*c**2 + 72*c - 86. Let x(w) = 15*w**3 - 41*w**2 - 24*w + 29. Let v(h) = -3*o(h) - 10*x(h). Solve v(a) = 0.
-1, 2/3, 4
Factor 2/5*b**2 + 0 + 6/5*b - 2/5*b**4 - 6/5*b**3.
-2*b*(b - 1)*(b + 1)*(b + 3)/5
Let c(o) be the first derivative of -o**3/3 - 2*o**2 - 4*o - 6. Factor c(n).
-(n + 2)**2
Let s(p) be the second derivative of 2*p**5/75 - 2*p**4/45 + p**3/45 - 9*p. Find a such that s(a) = 0.
0, 1/2
Let m(a) = 155*a**2 + 960*a - 245. Let d(r) = -22*r**2 - 137*r + 35. Let o(f) = 15*d(f) + 2*m(f). Factor o(n).
-5*(n + 7)*(4*n - 1)
Suppose 17*j + 9*j**3 - 10*j**3 - 16 + 7*j + 2*j**4 - 5*j**3 - 4*j**2 = 0. Calculate j.
-2, 1, 2
Factor 10/3*w**2 - 5/3*w**3 + 20/3*w - 40/3.
-5*(w - 2)**2*(w + 2)/3
Suppose 5*c = -g + 23, -4*c + 16 = -2*c - 3*g. Find p, given that 1/4*p**2 - 1/4*p**3 + 0 + 0*p - 1/4*p**4 + 1/4*p**c = 0.
-1, 0, 1
Let h(v) be the third derivative of 0 + 0*v**3 + 0*v + 1/210*v**7 - 7*v**2 + 1/60*v**5 + 1/1344*v**8 + 1/80*v**6 + 1/96*v**4. Factor h(r).
r*(r + 1)**4/4
Let r(c) be the second derivative of c**5/30 - c**3/3 - c**2/2 + 2*c. Let d(f) be the first derivative of r(f). Determine i, given that d(i) = 0.
-1, 1
Determine h so that 24*h - 2*h**2 - 6*h**4 + h**3 + 3*h**3 - 28*h + 8*h**2 = 0.
-1, 0, 2/3, 1
Find t, given that 1/5*t**2 + 0 - 1/5*t = 0.
0, 1
Let z(v) = 41*v**3 + 304*v**2 + 181*v + 26. Let g(j) = 40*j**3 + 305*j**2 + 180*j + 25. Let i(w) = 4*g(w) - 5*z(w). Factor i(f).
-5*(f + 6)*(3*f + 1)**2
Let c(n) = 2*n**2 - 14*n - 33. Let k be c(-2). Let u = 8 - 6. Suppose -2/5 + 2/5*p**k + 2/5*p**u - 2/5*p = 0. Calculate p.
-1, 1
Suppose i + 0*i + 2*b = 10, 2*i - 24 = -5*b. Factor -17*o**2 - 3 - i*o**2 - 26*o**2 - 30*o**2 - 30*o.
-3*(5*o + 1)**2
Let t = 193 + -191. Factor 2/5*u - 2/5*u**t + 0.
-2*u*(u - 1)/5
Let s(g) be the first derivative of -g**6/2 - 3*g**5/5 + 3*g**4/4 + g**3 + 1. Suppose s(v) = 0. Calculate v.
-1, 0, 1
Let c be (2/(-10))/((-24)/(-20)). Let n = c - -2/3. Factor -88*v**4 + 7*v + 86*v**3 - n + 32*v**5 - 73/2*v**2.
(v - 1)**2*(4*v - 1)**3/2
Solve -16 - 4*g**5 + 16 - 26*g**2 - 20*g**4 - 33*g**3 + 6*g**2 - 4*g = 0 for g.
-2, -1/2, 0
Let w(m) be the third derivative of m**6/300 - m**5/50 + m**4/30 - 6*m**2. Determine s so that w(s) = 0.
0, 1, 2
Suppose -3*m - y = -10 - 1, 2*m - 29 = -5*y. Suppose m - 4 - 2*k**2 + 4*k**2 = 0. Calculate k.
-1, 1
Suppose -5*s = -m - 0*s - 38, -2*s + 4 = 0. Let h be (4/(-14))/(20/m). Let -h*k**2 + 0 + 4/5*k = 0. What is k?
0, 2
Let g(z) be the first derivative of -5*z**4/4 - 10. Let g(t) = 0. Calculate t.
0
Let c = -2/89 + 362/267. Let g be 4 - (40/(-15))/(-4). Suppose -c*w**4 + 0 + 2/3*w - 8/3*w**2 + g*w**3 = 0. What is w?
0, 1/2, 1
Let g = 1 + 4. Factor 3 + z + 5*z + g - 5 + 3*z**2.
3*(z + 1)**2
Let j(m) be the third derivative of 0*m**4 - 3*m**2 + 1/210*m**7 + 0*m**3 + 1/40*m**6 + 0 + 0*m + 1/30*m**5. Factor j(a).
a**2*(a + 1)*(a + 2)
Let w(z) be the first derivative of z**4/42 - 2*z**3/21 + z**2/7 + 5*z + 5. Let q(n) be the first derivative of w(n). Factor q(d).
2*(d - 1)**2/7
Factor 2/5*j**2 + 12/5*j + 0.
2*j*(j + 6)/5
Let w(b) = -b**2 - 5*b. Let j be w(-4). Let i(n) be the first derivative of 3/2*n**j - 2*n - 3*n**2 - 2/3*n**3 + 2 + 4/5*n**5. Factor i(x).
2*(x - 1)*(x + 1)**2*(2*x + 1)
Let k be (9 - 7)*(-2)/(-4). Let q = k + 2. Factor x**q - 2*x - 7*x**3 + 0*x + 6*x**2 + 2*x**4.
2*x*(x - 1)**3
Let l(r) = -r**2 - 5*r - 3. Let p be l(-3). Let v(z) be the second derivative of -3*z + 0 - 5/36*z**4 - 4/9*z**p + 2/3*z**2. Find q, given that v(q) = 0.
-2, 2/5
Let i(h) be the third derivative of -h**5/70 - 2*h**4/7 - 16*h**3/7 - h**2. Factor i(a).
-6*(a + 4)**2/7
Let k(c) be the third derivative of -2*c**7/35 + 2*c**6/15 + c**5/15 - c**4/3 - 2*c**2. Factor k(b).
-4*b*(b - 1)**2*(3*b + 2)
Let g(j) = j**2 - j + 1. Let l be g(2). Find w, given that -3 + 8 - 2*w**5 + 2*w**4 - 2*w**2 - 5 + 2*w**l = 0.
-1, 0, 1
Find c such that -32/7*c**4 + 4/7 + 78/7*c**2 - 34/7*c - 16/7*c**3 = 0.
-2, 1/4, 1
Suppose 2/9 + 4/9*g**3 + 0*g**2 - 4/9*g - 2/9*g**4 = 0. What is g?
-1, 1
Let m(i) be the third derivative of -i**8/1176 + i**7/735 + i**6/140 - i**5/210 - i**4/42 + i**2. Find b such that m(b) = 0.
-1, 0, 1, 2
Let y = -21 + 20. Let v(k) = -3*k**3 - k**2. Let c be v(y). Let -4*f**c + 1 - 3/2*f**3 - 3/2*f = 0. What is f?
-2, -1, 1/3
Factor 4*v**3 - 2*v - 4*v**2 + 0*v**3 - 2*v - 16*v**4 + 20*v**4.
4*v*(v - 1)*(v + 1)**2
Let l(g) = -2*g**4 + 15*g**3 - 29*g**2 + 21*g - 8. Let r(v) = -4*v**4 + 29*v**3 - 57*v**2 + 43*v - 16. Let u(j) = 5*l(j) - 3*r(j). Factor u(n).
2*(n - 2)**2*(n - 1)**2
Let f(k) be the first derivative of -k**3/3 + k**2 - k - 7. Factor f(v).
-(v - 1)**2
Let w(f) be the second derivative of -f**4/48 + 5*f**3/12 - 25*f**2/8 + 5*f. Find i such that w(i) = 0.
5
Let j(l) be the third derivative of -l**6/180 + l**5/90 + l**4/36 - l**3/9 - 7*l**2. Suppose j(k) = 0. What is k?
-1, 1
Suppose 0*w - w = 0. Let d(y) be the first derivative of 0*y - 1/4*y**4 - 1/3*y**3 - 1 + 1/6*y**6 + w*y**2 + 1/5*y**5. Factor d(k).
k**2*(k - 1)*(k + 1)**2
Let i(b) = -5*b**3 - b**2 + 8*b - 6. Let g(z) = 4*z**3 - 7*z + 5. Let d(m) = 4*g(m) + 3*i(m). Let k be d(4). Factor 0 + 1/2*j**k - 1/2*j.
j*(j - 1)/2
Factor -3/4*b - 3/2*b**5 - 15/4*b**2 - 27/4*b**3 - 21/4*b**4 + 0.
-3*b*(b + 1)**3*(2*b + 1)/4
Let u(v) be the first derivative of 7*v**4/20 - v**3/3 - 8*v**2/5 - 4*v/5 - 1. Factor u(g).
(g - 2)*(g + 1)*(7*g + 2)/5
Factor 10/9*b**2 + 14/9*b + 4/9.
2*(b + 1)*(5*b + 2)/9
Let v(c) be the third derivative of 0*c + 1/6*c**3 + 1/120*c**6 + 4*c**2 - 1/60*c**5 + 0 - 1/24*c**4. Suppose v(q) = 0. What is q?
-1, 1
Let o(y) be the second derivative of -y**4/48 + y**3/6 - y**2/2 + 7*y. Find c such that o(c) = 0.
2
Let a(h) be the second derivative of h**5/70 - h**4/7 - h**3/21 + 6*h**2/7 - 15*h + 3. Find i such that a(i) = 0.
-1, 1, 6
Let j be (-3)/(-6 + 0)*(1 + -1). Factor -2/3*x**2 + j + 2*x**3 + 0*x - 2*x**4 + 2/3*x**5.
2*x**2*(x - 1)**3/3
Let k(v) be the first derivative of v**6/54 + v**5/15 - v**4/18 - 2*v**3/9 + v**2/18 + v/3 + 13. Suppose k(l) = 0. What is l?
-3, -1, 1
Let q = -2 - -2. Factor -2*u + u**3 - 5*u**2 + 2*u**4 + q*u**4 + 4*u**4.
u*(u - 1)*(2*u + 1)*(3*u + 2)
Let r(n) be the first derivative of -2*n**5/55 - 3*n**4/22 + 4*n**2/11 - 4. Factor r(h).
-2*h*(h - 1)*(h + 2)**2/11
Let d(h) be the first derivative of -1/4*h**2 + h - 6 - 1/6*h**3. Determine m so that d(m) = 0.
-2, 1
Let m(j) be the first derivative of 4*j**5/5 - j**4 - 4*j**3 + 2*j**2 + 8*j + 3. What is v in m(v) = 0?
-1, 1, 2
Let m(a) be the first derivative of -5*a**4/4 + 10*a**3/3 + 5*a**2/2 - 10*a - 2. Find p, given that m(p) = 0.
-1, 1, 2
Solve -2*j**4 + 2*j**2 + 3*j**2 - 2*j + 2*j**3 - 3*j**2 = 0 for j.
-1, 0, 1
Factor 0*h**3 + 4/11*h**2 - 2/11 + 0*h - 2/11*h**4.
-2*(h - 1)**2*(h + 1)**2/11
Let m(i) be the first derivative of -3*i**4/4 - 3*i**3 + 27*i**2/2 - 15*i + 4. Factor m(w).
-3*(w - 1)**2*(w + 5)
Suppose -3*m + 19 = -2*s, 4*m - 19 = s + 3. Let a = -6 - -10. What is p in 17 - 17 - 5*p**4 - a*p**m - p**3 = 0?
-1, -1/4, 0
Find q, given that 9/2*q**2 - 9/2*q + 3/2 - 3/2*q**3 = 0.
1
Let u(z) = 2*z**5 - 6*z**4 - 8*z**3 - 6*z. Let x(a) = -a**4 + 1 + 24*a - 25*a - 1 - a**3. Let c(h) = u(h) - 6*x(h). Suppose c(r) = 0. Calculate r.
-1, 0, 1
Let d(j) be the third derivative of -1/8*j**4 - 4*j**2 + 0 - 1/120*j**5 + 0*j - 3/4*j**3. Factor d(b).
-(b + 3)**2/2
Let t(x) be the second derivative of -2*x + 0*x**2 + 1/300*x**5 + 0 - 1/3*x**3 + 1/900*x**6 + 0*x**4. Let o(u) be the second derivative of t(u). Factor o(w).
2*w*(w + 1)/5
Let y(n) be the second derivative of -n**4/9 + 2*n**3/9 + 4*n**2 + n - 4. Let y(a) = 0. Calculate a.
-2, 3
F