 + 14. What is c in i(c) = 0?
-16, 0
Factor 2/13*g**2 + 2/13*g**3 - 2/13*g - 2/13.
2*(g - 1)*(g + 1)**2/13
Let o(d) be the second derivative of 0 - 1/4*d**4 + 3/20*d**5 - 1/2*d**3 + 1/10*d**6 - d + 0*d**2. Determine b so that o(b) = 0.
-1, 0, 1
Let k(r) be the first derivative of 1/8*r**4 + 1/6*r**3 + 0*r - 1/2*r**2 + 4. What is b in k(b) = 0?
-2, 0, 1
Let m be (-6)/16*36/(-3). Let v = -29 - -29. Solve 3/2*y + v - 3/2*y**4 - 9/2*y**2 + m*y**3 = 0 for y.
0, 1
Let d(s) be the first derivative of s**5/20 + s**4/8 - s**3/12 - s**2/4 + 17. Solve d(h) = 0 for h.
-2, -1, 0, 1
Factor 6/13 + 4/13*w - 2/13*w**2.
-2*(w - 3)*(w + 1)/13
Let t(n) be the second derivative of n**5/100 - n**4/60 - n**3/30 + n**2/10 + n. Determine a, given that t(a) = 0.
-1, 1
Let k(v) be the third derivative of v**5/20 + v**4/24 - 5*v**3/6 + 3*v**2. Let t(j) = 2*j**2 - 4. Let p(s) = 4*k(s) - 5*t(s). Factor p(u).
2*u*(u + 2)
Factor 1/4 + m**5 - 3/2*m + 1/2*m**3 - 9/4*m**4 + 2*m**2.
(m - 1)**3*(m + 1)*(4*m - 1)/4
Let w(u) be the first derivative of 9/2*u**2 + 3 + 2*u**3 + 3*u - 1/2*u**6 - 9/5*u**5 - 3/2*u**4. Find i, given that w(i) = 0.
-1, 1
Let w(z) be the second derivative of z**5/4 + z**4/6 - 7*z. Factor w(h).
h**2*(5*h + 2)
Let z(u) be the second derivative of 2*u**7/63 - u**6/10 + u**5/30 + 2*u**4/9 - u**3/3 + u**2/6 + 6*u. Find c such that z(c) = 0.
-1, 1/4, 1
Let z(l) be the third derivative of -9*l**6/20 + 2*l**5/5 - l**4/9 + 33*l**2. Factor z(y).
-2*y*(9*y - 2)**2/3
Let w be (12/(-21))/(1/(-7)). Factor -f + 2*f - 3*f - f**2 + w*f + 3.
-(f - 3)*(f + 1)
Let d(r) = r**3 + 7*r**2 - r - 1. Let o be d(-7). Let h = 2 + 1. Determine b, given that 6*b**3 + b**4 + o*b**2 - 3 - 4*b**4 - 3*b**5 + 0*b - h*b = 0.
-1, 1
Let -23 + 0*m**2 - 78 - 4*m**2 + 1 - 40*m = 0. What is m?
-5
Let v = -6/431 + 1151/51720. Let c(g) be the second derivative of v*g**6 + 1/12*g**3 - 1/40*g**5 - 1/8*g**2 + g + 0*g**4 + 0. Factor c(a).
(a - 1)**3*(a + 1)/4
Let p(j) be the first derivative of -j + 0*j**2 - 3 + 1/3*j**3. Factor p(x).
(x - 1)*(x + 1)
Suppose -2 - 6 = -4*b. Let q(p) be the first derivative of 3 - p**4 + 0*p**3 - 2/5*p**5 + 2*p + b*p**2. Factor q(y).
-2*(y - 1)*(y + 1)**3
Determine i so that 0 - 6/11*i**2 + 2/11*i**4 + 4/11*i + 0*i**3 = 0.
-2, 0, 1
Factor 1/7*c**2 - 4/7*c - 12/7.
(c - 6)*(c + 2)/7
Let t(d) be the second derivative of -d**7/1120 - 7*d**6/2880 + d**5/240 - d**4/6 - d. Let i(w) be the third derivative of t(w). Factor i(h).
-(h + 1)*(9*h - 2)/4
Let y be (-12)/(-4) + -1 + 0. Let -y*i**2 - i**2 + 2*i**2 = 0. Calculate i.
0
Let b(z) be the third derivative of 0*z**3 - 1/24*z**4 - 1/60*z**5 + 0 - 3*z**2 + 0*z. Solve b(k) = 0 for k.
-1, 0
Suppose c - 2*t - 5 = 0, 4*c - 2 - 6 = -4*t. Suppose 0 = -c*m + m. Determine z, given that 0*z**4 + 3/4*z**5 + 0*z + 0 - 3/4*z**3 + m*z**2 = 0.
-1, 0, 1
Let b(i) be the third derivative of 1/720*i**6 + 8*i**2 + 0*i**4 + 0*i + 0 + 0*i**5 + 0*i**3. Let b(v) = 0. What is v?
0
Let p(q) be the first derivative of -q**7/2520 - q**6/1080 + q**3/3 + 1. Let t(f) be the third derivative of p(f). Factor t(s).
-s**2*(s + 1)/3
Factor -9*i**5 + 0*i**3 - 46*i**3 - 12*i**2 - 2*i**3 - 39*i**4.
-3*i**2*(i + 2)**2*(3*i + 1)
Suppose 12 = -2*r + 30. Find p such that -6*p**3 + p - 3*p**5 - 9*p**2 + r*p**4 + 5*p + 3*p**3 = 0.
-1, 0, 1, 2
Let n(y) be the third derivative of y**7/840 - y**5/40 - y**4/12 - 2*y**2. Let a(f) be the second derivative of n(f). Factor a(z).
3*(z - 1)*(z + 1)
Let p(x) be the first derivative of -2/3*x - 4/3*x**2 - 2/3*x**3 - 2. Solve p(g) = 0 for g.
-1, -1/3
Let a(u) be the second derivative of -u**7/12600 - u**6/3600 + u**5/300 - 5*u**4/6 + 6*u. Let c(h) be the third derivative of a(h). Let c(g) = 0. Calculate g.
-2, 1
Let i = 723/1795 - 1/359. Factor i*g + 1/5 + 1/5*g**2.
(g + 1)**2/5
Solve 0 + 1/6*r + 1/6*r**4 - 1/6*r**2 - 1/6*r**3 = 0 for r.
-1, 0, 1
Let z(w) be the third derivative of w**5/15 - 4*w**4/3 - 11*w**2. Factor z(v).
4*v*(v - 8)
Let p be 10/6 + ((-228)/36 - -5). Suppose 0 - p*d**2 + 2/3*d = 0. What is d?
0, 2
Let d(v) be the third derivative of v**11/332640 - v**10/151200 + v**5/60 - 2*v**2. Let x(c) be the third derivative of d(c). Factor x(a).
a**4*(a - 1)
Let -12*c**2 - 6*c - 3*c + 3*c**4 + c**4 + c = 0. What is c?
-1, 0, 2
Let q = -914429333/2041788 + -1/291684. Let o = -447 - q. Factor 2/7*l**5 + 6/7*l**3 - o*l**4 + 0 - 2/7*l**2 + 0*l.
2*l**2*(l - 1)**3/7
Suppose 0 = 6*r - r. Find i, given that r - 2*i**2 + 2*i - 4*i**3 + 2 + 2*i**3 = 0.
-1, 1
Let 0 + 2/9*a + 10/9*a**2 - 10/9*a**4 - 2/9*a**3 = 0. What is a?
-1, -1/5, 0, 1
Find s, given that -3*s**3 + 2*s**2 - 7*s - 15*s - 23*s**2 - 23*s - 27 = 0.
-3, -1
Let d(t) be the first derivative of -t**4/60 - t**3/15 - t**2/10 - t + 5. Let u(w) be the first derivative of d(w). Let u(j) = 0. What is j?
-1
Suppose 15 + 5 = 5*a, -4*a + 16 = c. Let m(b) be the third derivative of -1/96*b**4 + 0*b + 1/240*b**5 - 1/12*b**3 + 3*b**2 + c. Factor m(n).
(n - 2)*(n + 1)/4
Let x be 6/(-32)*348/(-261). Factor -1/2 - 3/4*c - x*c**2.
-(c + 1)*(c + 2)/4
Let s(a) be the third derivative of 1/40*a**5 + 1/4*a**3 - 1/8*a**4 + 0 + 0*a + 3*a**2. Solve s(c) = 0.
1
Let w(t) be the second derivative of 7*t**4/12 + 3*t**2 - t. Let k(j) = j**2 + 1. Let d(v) = -6*k(v) + w(v). Factor d(n).
n**2
Let s(k) = -4*k**2 - 3*k + 5. Let y(l) = -l. Let n(h) = -s(h) - y(h). Let p(t) = 1. Let d(w) = n(w) - 3*p(w). Factor d(b).
4*(b - 1)*(b + 2)
Let q(i) be the first derivative of i**6/5 + 3*i**5/25 - 9*i**4/10 + i**3/5 + 3*i**2/5 + 10. Find u, given that q(u) = 0.
-2, -1/2, 0, 1
Suppose 2*r = b + 8, -36*b - 12 = -33*b. Suppose c - 6 = -5*y + 6, 9 = -3*c. Factor 2/9*k**y + 0 + 0*k + 0*k**r + 2/9*k**4.
2*k**3*(k + 1)/9
Let k(r) be the first derivative of -3/7*r**2 + 3/7*r - 1 + 1/7*r**3. Find a, given that k(a) = 0.
1
Let s(y) = -y**5 + 2*y**4 + y**3 - 7*y**2 - 5*y. Let x be (3/6*-10)/1. Let d(c) = -c**2 - c. Let m(a) = x*d(a) + s(a). Factor m(n).
-n**2*(n - 2)*(n - 1)*(n + 1)
Factor 5*k**3 - 3/2 - 3/2*k**4 + 1/6*k**5 + 11/2*k - 23/3*k**2.
(k - 3)**2*(k - 1)**3/6
Factor -3*q**2 - 3/2 + 1/2*q**4 - 4*q + 0*q**3.
(q - 3)*(q + 1)**3/2
Let v(x) be the first derivative of -x**5/10 - x**4/8 + x**3/2 + x**2/4 - x + 7. Determine w so that v(w) = 0.
-2, -1, 1
Let a(y) = -y**5 - y**3 + y**2 - y. Let m(z) = 9*z**5 + 7*z**4 + 9*z**3 - 10*z**2 + 7*z. Let o(w) = 14*a(w) + 2*m(w). Solve o(r) = 0 for r.
-3, -1, 0, 1/2
Let x(g) = 4*g**4 + 2*g**3 + g**2 + 3*g + 3. Let b(c) = c**4 + c**3 + c**2 + c + 1. Let p(t) = -3*b(t) + x(t). Factor p(q).
q**2*(q - 2)*(q + 1)
Let t(x) = x**4 - x**3 + x**2 - x - 1. Let j(z) = 2*z**5 - 5*z**4 - z**3 + z**2 + 5*z + 1. Let s(r) = -j(r) - 3*t(r). Factor s(v).
-2*(v - 1)**3*(v + 1)**2
Factor 4/19 + 2/19*i**3 + 6/19*i**2 - 10/19*i - 2/19*i**4.
-2*(i - 1)**3*(i + 2)/19
Let m(n) = n**2 + 5*n + 3. Let p be m(-5). Find s such that 3*s - s**2 - 9 + p*s + 0*s = 0.
3
Let n be -3*1 + (-29)/(-8). Let p = n + -7/24. Factor -4/3*i**2 - p*i**3 - 2/3 - 5/3*i.
-(i + 1)**2*(i + 2)/3
Factor -511 + 511 - 5*y**2.
-5*y**2
Let s(l) = -2*l**3 + 2*l**2 + 2*l - 2. Let k(f) = -f**4 - f**3 + f + 1. Let y(i) = 2*k(i) + s(i). Factor y(n).
-2*n*(n - 1)*(n + 1)*(n + 2)
Suppose -23*k = -18*k - 10. Solve 2*y**k + 1/2*y**5 + 0 - y**4 - 3/2*y**3 + 2*y = 0.
-1, 0, 2
Let h(v) be the third derivative of v**7/13860 - v**6/660 + 3*v**5/220 - v**4/4 - 4*v**2. Let g(u) be the second derivative of h(u). Factor g(w).
2*(w - 3)**2/11
Let q be (-4)/14*(-14 + -80). Solve q*k**3 - 48/7*k - 18*k**4 - 8/7 - 6/7*k**2 = 0 for k.
-2/7, -2/9, 1
Factor 2/7*w**5 - 10/7*w**3 + 2/7*w**4 - 2/7*w**2 + 16/7*w - 8/7.
2*(w - 1)**3*(w + 2)**2/7
Factor 22*z**2 - 20*z**2 + 4*z - 2*z**4 + 3*z**4 - 16*z**3 + 9*z**4.
2*z*(z - 1)**2*(5*z + 2)
Suppose 4*b + 5 = 3*s + 11, 2*s - 10 = -2*b. Let k(h) be the second derivative of -h**3 - h**2 - 1/2*h**4 - 1/10*h**5 + 0 + s*h. Determine n so that k(n) = 0.
-1
Determine v so that -5*v**5 + 20*v**2 - 5*v**4 - 26*v + 26*v + 20*v**3 = 0.
-2, -1, 0, 2
Let r = 15 + -9. Let u be (-1)/(-3)*(r + -3). Let c(g) = 9*g**4 - 6*g**3 - 3*g**2 - 6*g. Let v(k) = -k. Let f(o) = u*c(o) - 6*v(o). Factor f(i).
3*i**2*(i - 1)*(3*i + 1)
Let o be (-4)/34 + (-1256)/(-272). What is n in 3*n - 1/2*n**2 - o = 0?
3
Suppose -4 = 3*w - 16. Let s(q) = -3*q**3 + 4*q**2 -