irst derivative of o**4/8 - o**3/2 - o**2/4 + 3*o/2 + 12. Find z such that d(z) = 0.
-1, 1, 3
Let r(p) be the first derivative of p**3/4 + 9*p**2/8 + 3*p/2 + 15. Determine b, given that r(b) = 0.
-2, -1
Let p = 154 + -152. Let t be (0 + -2)*(-6)/4. Find n, given that -26/7*n**4 + 0 - 24/7*n**5 + 2*n**p + 16/7*n**t - 4/7*n = 0.
-1, 0, 1/4, 2/3
Suppose 84*n**4 - 24*n**5 - 171/2*n**3 - 3*n + 0 + 57/2*n**2 = 0. Calculate n.
0, 1/4, 1, 2
Let u(h) be the first derivative of 2*h**5/35 + h**4/14 - 4*h**3/21 + 6. Solve u(j) = 0 for j.
-2, 0, 1
Let q = 66 + -64. Factor 0 + 2/11*v**q + 4/11*v**3 + 2/11*v**4 + 0*v.
2*v**2*(v + 1)**2/11
Suppose -1 = -5*h - 2*k, 9*k + 6 = -4*h + 4*k. Suppose 0 = 4*z - 7 - h. Suppose r**3 + 12*r + 18*r**z + 3*r**3 + 4*r**3 + 2 = 0. Calculate r.
-1, -1/4
Suppose -4*u = 2*v - 3*v - 71, -v - 14 = -u. Suppose 0 = -4*p + u + 1. Suppose 2*b**2 - 4*b**4 + b**3 + 5*b**4 - b**p - 3*b**2 = 0. Calculate b.
-1, 0, 1
Let s(m) be the first derivative of -m**4/4 + 4*m**3/3 - 2*m**2 + 7*m + 1. Let v(y) be the first derivative of s(y). Find d such that v(d) = 0.
2/3, 2
Let g(d) be the first derivative of 3/10*d**5 + 1/2*d**2 + 13/16*d**4 + d**3 + 1/24*d**6 + 6 + 0*d. Factor g(b).
b*(b + 1)**2*(b + 2)**2/4
Let d be 15/(-1)*423/63. Let p = d - -101. Factor 0 - 4/7*n**2 + 2/7*n**3 + p*n.
2*n*(n - 1)**2/7
Factor 6*i**2 + 0*i - 7*i**2 - i**3 - 2*i + 4*i**2.
-i*(i - 2)*(i - 1)
Let t(g) be the first derivative of g**9/504 + g**8/840 - g**7/140 - g**6/180 + g**3/3 + 3. Let x(v) be the third derivative of t(v). Solve x(r) = 0 for r.
-1, -1/3, 0, 1
Factor 2/5*w**4 + 0*w**3 - 4/5*w + 0 - 6/5*w**2.
2*w*(w - 2)*(w + 1)**2/5
Let g be 3 + (-4)/(-12)*3. Let c(m) be the third derivative of 0*m + 1/150*m**5 + 0 - 1/20*m**g - m**2 + 2/15*m**3. Factor c(k).
2*(k - 2)*(k - 1)/5
Let n be 4*3/6 - 3. Let l be n + 0 + 1 - -5. Factor -2*z**3 - 6*z**5 + z + 3*z**l + 4*z**5.
z*(z - 1)**2*(z + 1)**2
Let i(h) be the first derivative of -h**4 + 4*h**3/3 + 4*h**2 - 10. Suppose i(n) = 0. What is n?
-1, 0, 2
Let w(m) be the second derivative of 0*m**2 + 1/20*m**4 - 10*m + 1/5*m**3 + 0. Factor w(j).
3*j*(j + 2)/5
Let h(w) be the first derivative of -w**8/2520 - w**7/420 - w**6/180 - w**5/180 + w**3 + 4. Let q(o) be the third derivative of h(o). Factor q(z).
-2*z*(z + 1)**3/3
Let o = 4 + 2. Factor -o*l**4 + 4*l**5 - 7*l**3 + 19*l**3 + 3*l**4 - 9*l**4 - 4*l**2.
4*l**2*(l - 1)**3
Let r(v) be the first derivative of -49*v**4/16 - 21*v**3/2 - 15*v**2/2 - 2*v + 2. Suppose r(o) = 0. Calculate o.
-2, -2/7
Let z be (-863)/6*(-4)/(-3). Let w = 192 + z. Find g, given that 2/9*g**2 - w*g + 0 = 0.
0, 1
Let i(n) = n**3 + 2*n**2 - 3*n + 2. Let c be 2/6*(-8 - 1). Let r be i(c). Factor 3/2*s - s**r - 1/2.
-(s - 1)*(2*s - 1)/2
Suppose 3*k - 5 = j, -k = j - 5*j + 2. Factor -1/2*z**k - 1 + 3/2*z.
-(z - 2)*(z - 1)/2
Let w(y) be the first derivative of -1/8*y**2 + 1/2*y - 1/12*y**3 - 1. Factor w(n).
-(n - 1)*(n + 2)/4
Let o = -157 - -159. Factor 2/3 + 1/3*p**o + p.
(p + 1)*(p + 2)/3
Let j(h) be the third derivative of -h**8/84 + h**6/15 - h**4/6 - 5*h**2. Suppose j(l) = 0. What is l?
-1, 0, 1
Let w(l) be the third derivative of l**6/24 - l**5/12 + 14*l**2. Find a, given that w(a) = 0.
0, 1
What is a in -3/2*a**3 + 3 + 0*a**2 + 9/2*a = 0?
-1, 2
Let k(u) be the first derivative of -u**6/720 - u**5/480 + u**4/96 - 8*u**3/3 - 8. Let m(l) be the third derivative of k(l). Factor m(s).
-(s + 1)*(2*s - 1)/4
Let w(y) be the third derivative of -y**7/3360 + y**6/360 - y**5/96 + y**4/48 - y**3/3 - 5*y**2. Let k(o) be the first derivative of w(o). Factor k(v).
-(v - 2)*(v - 1)**2/4
Let n = -3 - -4. Suppose n = -u + 3. Factor 3*v**2 - v**2 - 2*v - u*v**3 - 2 + 4*v.
-2*(v - 1)**2*(v + 1)
Factor -3/2*y**4 - 3*y**2 + 0 + 0*y + 9/2*y**3.
-3*y**2*(y - 2)*(y - 1)/2
Let k(f) be the third derivative of 3*f**2 - 1/135*f**5 + 0*f + 1/540*f**6 + 1/108*f**4 + 0*f**3 + 0. Factor k(d).
2*d*(d - 1)**2/9
Suppose 0 = -m + w + 6, -4*m + w + 19 = 7. Let j be (2 + 4)*1/m. Determine v, given that 2*v**4 - 1/6*v - 13/6*v**2 + 1/6*v**j + 1/6 = 0.
-1, -1/3, 1/4, 1
Let m(g) be the third derivative of -g**8/8400 - g**7/4200 + g**6/1800 + g**5/600 - 2*g**3/3 - g**2. Let i(d) be the first derivative of m(d). Factor i(y).
-y*(y - 1)*(y + 1)**2/5
Let f(h) be the third derivative of 1/180*h**5 - h**2 + 2/9*h**3 + 0 - 1/18*h**4 + 0*h. Factor f(d).
(d - 2)**2/3
Let -6*y**3 - 48*y**2 - 56*y + y**3 + y**4 - 20 - 3*y**3 + 3*y**4 = 0. Calculate y.
-1, 5
Let u(v) = v**2 - 4*v + 6. Let n(c) = -12*c + 16 - c**2 + 4*c**2 + 13 - 10. Let s(w) = 4*n(w) - 14*u(w). Find p, given that s(p) = 0.
2
Let n(c) be the second derivative of 0*c**3 + 0*c**2 - 1/60*c**6 - 1/80*c**5 + 0*c**4 + 3*c - 1/168*c**7 + 0. Factor n(h).
-h**3*(h + 1)**2/4
Suppose 0*n - 3/8*n**5 + 3/8*n**3 + 0 + 1/4*n**4 - 1/4*n**2 = 0. Calculate n.
-1, 0, 2/3, 1
Let g be (72/(-112) - (-2)/4)*-4. Factor 0*m**3 - g*m**5 + 0 + 8/7*m**4 + 4/7*m - 8/7*m**2.
-4*m*(m - 1)**3*(m + 1)/7
Let v be (((-3)/(-8))/3)/(20/40). Factor 0*j - v*j**3 + 0*j**2 + 0.
-j**3/4
Factor -9/2*v + 0 + 1/2*v**2.
v*(v - 9)/2
Let z(l) be the third derivative of -l**8/15680 - l**7/2940 - l**6/1680 - l**4/4 + 7*l**2. Let p(w) be the second derivative of z(w). Solve p(a) = 0 for a.
-1, 0
Let q(c) be the second derivative of -1/8*c**3 + 0*c**4 + 0 + 4*c + 1/80*c**5 + 1/4*c**2. Determine h, given that q(h) = 0.
-2, 1
Suppose m = -j + 4, -4*m + 7 = -3*j - 2*j. Let q(d) be the third derivative of -3*d**2 - 2/9*d**m - 1/90*d**5 + 0 + 1/12*d**4 + 0*d. Factor q(p).
-2*(p - 2)*(p - 1)/3
Factor 1/3*z**5 + 0*z**2 + 0*z**3 + 0*z + z**4 + 0.
z**4*(z + 3)/3
Let d be 2 - (6 - (7 + 0)). Factor 1/5*m**d + 0*m + 2/5*m**2 + 0.
m**2*(m + 2)/5
Let w(l) = -7*l**4 + 5*l**3 - l**2 + 5*l - 2. Let v(b) = -3*b**4 + 2*b**3 + 2*b - 1. Let o(a) = 5*v(a) - 2*w(a). Solve o(t) = 0.
-1, 1
Let i(k) be the third derivative of -k**7/630 - 2*k**6/45 - 7*k**5/20 + 2*k**4/9 + 32*k**3/9 + 31*k**2. Factor i(n).
-(n - 1)*(n + 1)*(n + 8)**2/3
Suppose -a - 3*a = -12. Let r(n) = 2*n**3 - 4*n**2 + 4*n - 2. Let u(x) = 2*x**3 - 3*x**2 + 3*x - 2. Let o(c) = a*r(c) - 2*u(c). Factor o(j).
2*(j - 1)**3
Let d(t) be the third derivative of t**5/90 + 3*t**4/20 + 2*t**3/9 + 14*t**2. Find f such that d(f) = 0.
-5, -2/5
Let v(p) be the second derivative of -p**8/4200 + p**7/2100 + p**6/900 - p**5/300 - p**3/3 - 2*p. Let i(l) be the second derivative of v(l). Factor i(f).
-2*f*(f - 1)**2*(f + 1)/5
Let j(s) be the second derivative of -1/12*s**4 - 8*s - 1/2*s**3 + 0*s**2 + 0. Determine f so that j(f) = 0.
-3, 0
Let d be 45/(-240)*(-2 - 2)/1. Suppose 9/4*a**3 - 9/4*a - d*a**4 - 3/4*a**2 + 3/2 = 0. Calculate a.
-1, 1, 2
Let b(a) = a**3 - 6*a**2 + 2*a - 8. Let g be b(6). Suppose -2*z + 0 = -g. Suppose -z*k + k**2 + k - k = 0. What is k?
0, 2
Let j be (0 - 1)*(1 - 1). Suppose -2*v + 2*i = -10, 3*v + 5*i + j*i = 7. Factor -4*c**3 + v*c**2 + 6*c**3 + 0*c**2 + 2*c.
2*c*(c + 1)**2
Let q(j) be the third derivative of j**7/630 + j**6/180 - j**5/60 - j**4/18 + 2*j**3/9 + 3*j**2. Factor q(h).
(h - 1)**2*(h + 2)**2/3
Let n(a) be the first derivative of -a**4/16 - 5*a**3/12 - 7*a**2/8 - 3*a/4 + 9. Solve n(y) = 0.
-3, -1
Let 81*j + 24*j**2 - 11 + 8 + 4 + 26 = 0. What is j?
-3, -3/8
Let l be (-19)/(-2 + 3 + -2). Find a such that l*a**4 - 7*a**5 + 0*a**2 - 6*a**2 + 5*a**3 - 10*a**4 + 2*a - 3*a**2 = 0.
-1, 0, 2/7, 1
Factor -15*k**3 + 2*k**5 - 12*k**4 + 143*k**2 - 143*k**2 + k**5.
3*k**3*(k - 5)*(k + 1)
Let d(f) be the third derivative of -f**7/315 + f**6/60 - f**5/30 + f**4/36 + f**2. What is y in d(y) = 0?
0, 1
Let v(y) be the first derivative of -9*y**4/4 - y**3 + 12*y**2 - 12*y + 2. Factor v(i).
-3*(i - 1)*(i + 2)*(3*i - 2)
Suppose 0 - 1/6*t**4 + 1/2*t**2 + 0*t + 1/3*t**3 = 0. What is t?
-1, 0, 3
Let d(m) be the second derivative of m**5/20 - 3*m**4/4 + m**3/6 - 9*m**2/2 - 4*m. Let g be d(9). Factor 2/3*z**2 + 2/3*z**4 + 0 + g*z - 4/3*z**3.
2*z**2*(z - 1)**2/3
Let v be 3*(-6)/(-108)*(-18)/(-4). Determine w so that 3/4*w**2 + v*w - 3/2 = 0.
-2, 1
Solve 21/8*f**2 - 3/4 - 15/8*f = 0 for f.
-2/7, 1
Let o(w) be the second derivative of -1/15*w**6 - 3*w + 0 - 3/10*w**5 + 4/3*w**3 + 0*w**2 + 0*w**4. Factor o(t).
-2*t*(t - 1)*(t + 2)**2
Solve 0*z - 1/8*z**2 + 1/8 = 0 for z.
-1, 1
Let k be (22/28 + -1)*(-