 1)*(k + 2)
Find c, given that 14/9*c**4 - 8/9*c + 26/9*c**2 - 2/9*c**5 - 10/3*c**3 + 0 = 0.
0, 1, 4
Let j = 34 + -26. Determine y so that 12*y - j*y**2 + 16 + 2*y**2 + 2*y**2 = 0.
-1, 4
Let v = 4 + -1. Suppose -v*q + 36 = 6. Factor -19*x**4 - 4 - q*x + x**2 + 21*x**4 - 7*x**2 + 2*x**3.
2*(x - 2)*(x + 1)**3
Let q = 75/7 + -74/7. Let y(h) be the second derivative of -2/21*h**3 + 0 - h - q*h**2 - 1/42*h**4. Determine s, given that y(s) = 0.
-1
Let d(l) be the first derivative of l**4 + 28*l**3/3 + 30*l**2 + 36*l - 4. Solve d(h) = 0 for h.
-3, -1
Let c = -23 + 25. Let g(n) be the third derivative of 1/12*n**4 + 0*n + 1/210*n**7 + 1/12*n**5 + 0 + 2*n**c + 0*n**3 + 1/30*n**6. Suppose g(w) = 0. What is w?
-2, -1, 0
Factor -7*i + 4*i**2 + 4*i**4 + 10*i**3 - 7*i - 8 + 2*i**3 + 2*i.
4*(i - 1)*(i + 1)**2*(i + 2)
Let u(g) be the first derivative of g**7/1155 - g**5/110 + g**4/66 - 2*g**2 - 3. Let a(b) be the second derivative of u(b). Factor a(x).
2*x*(x - 1)**2*(x + 2)/11
Let n(u) be the third derivative of -u**6/140 - u**5/15 - 5*u**4/21 - 8*u**3/21 + 6*u**2. Find v, given that n(v) = 0.
-2, -2/3
Let d = 87 + -433/5. Let p(t) be the first derivative of 32*t + d*t**5 + 16*t**3 - 1 - 4*t**4 - 32*t**2. Find o such that p(o) = 0.
2
Let v be (2096/(-24))/(12/(-26)). Let s = v - 189. What is a in 0 - s*a - 4/9*a**4 + 4/9*a**2 + 2/9*a**3 = 0?
-1, 0, 1/2, 1
Suppose -2*a - 5*f + 7 = -1, -f = 0. Suppose 2*n = -c + a*c - 16, 4*c - 2*n - 20 = 0. Factor x**3 - 4*x**2 + x**c + 3*x - 4*x + 3*x**2.
x*(x - 1)*(x + 1)**2
Let v(m) be the third derivative of m**6/300 + m**5/150 - m**4/30 - 11*m**2. Factor v(s).
2*s*(s - 1)*(s + 2)/5
Let j(f) be the first derivative of f**5/20 - 3*f**4/8 + f**3 - f**2 - 1. Let l(y) be the second derivative of j(y). Suppose l(n) = 0. What is n?
1, 2
Let y(i) be the second derivative of -i**6/360 + i**5/40 - i**4/12 - i**3/3 + 2*i. Let z(o) be the second derivative of y(o). Determine d so that z(d) = 0.
1, 2
Let c(u) = u**2 + u - 1. Let x(p) = -2 + 5*p + 5*p**2 - 5 + 3. Let v = -1 - -5. Let k(f) = v*c(f) - x(f). Factor k(d).
-d*(d + 1)
Let c(a) be the third derivative of a**8/50400 - a**6/1800 + a**5/15 + 4*a**2. Let d(g) be the third derivative of c(g). Factor d(w).
2*(w - 1)*(w + 1)/5
What is c in 4/3*c**2 - 1/3*c**4 - 2/3*c**3 - 1 + 2/3*c = 0?
-3, -1, 1
Let w = -480479/420 - -1144. Let l(j) be the third derivative of w*j**6 + 2*j**2 + 0*j**3 + 0*j**5 + 0*j - 1/84*j**4 + 0. Factor l(i).
2*i*(i - 1)*(i + 1)/7
Let z(x) = x**4 + 4*x**3 - x**2 + 4*x - 6. Let g(b) be the second derivative of -b**4/12 - b**2/2 - 4*b. Let r(s) = 14*g(s) - 2*z(s). Factor r(m).
-2*(m + 1)**4
Let x = -3 + 6. Suppose -3*n + 2*v = -7, -x*n + 6*n = -5*v + 35. Factor n*l + 4*l**2 - 7*l**3 - 3*l - 3*l**3 - 12*l**2.
-2*l*(l + 1)*(5*l - 1)
Let v(o) be the second derivative of 3/10*o**5 + 4*o + 0*o**2 - 5/6*o**4 + 0 + 2/3*o**3. Determine k so that v(k) = 0.
0, 2/3, 1
Let t = -1/10 + 3/5. Let -1/2 - t*j**2 + j = 0. What is j?
1
Let y(u) be the second derivative of 7*u**6/15 - 9*u**5/10 + u**4/3 - u. Determine a, given that y(a) = 0.
0, 2/7, 1
Let w(n) be the second derivative of 3*n**5/10 + 9*n**4/4 + 3*n**3/2 - 6*n**2 - 7*n. Determine o, given that w(o) = 0.
-4, -1, 1/2
Let p = 181 - 5972/33. Let z(k) be the second derivative of 0 + p*k**3 - 1/66*k**4 - 3*k + 1/11*k**2 - 1/110*k**5. Determine d so that z(d) = 0.
-1, 1
Let g(r) be the third derivative of -1/27*r**3 + 0*r**6 + 1/135*r**5 + 0 - 4*r**2 + 0*r - 1/945*r**7 + 0*r**4. Factor g(d).
-2*(d - 1)**2*(d + 1)**2/9
Determine t, given that 1/2*t**2 - t - 3/4 + t**3 + 1/4*t**4 = 0.
-3, -1, 1
Factor -6/5*c + c**2 + 1/5.
(c - 1)*(5*c - 1)/5
Let w(l) be the third derivative of -1/210*l**7 - 1/672*l**8 + 0 + 0*l**5 + 0*l**3 - 1/240*l**6 + 0*l**4 + 0*l - 2*l**2. Factor w(t).
-t**3*(t + 1)**2/2
Suppose -5*x = -x - 24. Let r(v) be the second derivative of 0 + 0*v**5 - 2*v - 1/6*v**3 + 0*v**2 - 1/6*v**4 + 1/15*v**x + 1/42*v**7. Factor r(a).
a*(a - 1)*(a + 1)**3
Let m(t) = -4*t**4 + 11*t**3 - 17*t**2 - 11*t + 21. Let c(o) = 2*o**4 - 6*o**3 + 8*o**2 + 6*o - 10. Let d(w) = -10*c(w) - 4*m(w). Factor d(f).
-4*(f - 2)**2*(f - 1)*(f + 1)
Let b(c) = -5*c**3 + 8*c**2 - 8*c. Let q be (4 + 1)*(-40)/50. Let n(r) = -9*r**3 + 15*r**2 - 15*r. Let j(i) = q*n(i) + 7*b(i). Find a such that j(a) = 0.
0, 2
Let c(s) be the first derivative of -1/4*s**3 - 3/4*s**2 + 0*s + 1. Factor c(x).
-3*x*(x + 2)/4
Let s be (-33)/(-15) - 12/30. Suppose -s*d**2 + 7/5*d + d**3 - 2/5 - 1/5*d**4 = 0. What is d?
1, 2
Let w(m) be the first derivative of -m**4/6 + 2*m**3/9 + 6. Factor w(r).
-2*r**2*(r - 1)/3
Let i(j) be the first derivative of -2*j**3/9 - 2*j**2/3 - 2*j/3 - 4. Suppose i(v) = 0. What is v?
-1
Let u(a) be the second derivative of 2*a**6/45 + a**5/5 - 8*a**3/9 - 15*a. Factor u(n).
4*n*(n - 1)*(n + 2)**2/3
Let a(w) = -w. Let r be a(-3). Determine y, given that 6*y + 4*y**3 + 2 - 2*y**3 + 0*y**r + 4*y**2 + 2*y**2 = 0.
-1
Find r such that 15*r + 20*r + 2*r**3 - 39*r - 2*r**2 = 0.
-1, 0, 2
Let k(v) be the third derivative of v**5/12 - 2*v**3/3 + 5*v**2. Let p(o) = o**2 - 1. Let c(m) = -k(m) + 4*p(m). Solve c(f) = 0.
0
Suppose 0 = 5*n - 527 - 123. Let g = n - 648/5. Factor 4*z**3 + 2*z**4 + 2/5*z**5 + 4*z**2 + 2*z + g.
2*(z + 1)**5/5
Suppose 3*o = -i + 14, -2*i = -4*o - 0*i + 12. Suppose o = 2*d - 2*v, 4*v - 1 = 3*d - 9. What is r in 0 + 7/3*r**5 + 0*r - 2/3*r**3 + d*r**2 - 5/3*r**4 = 0?
-2/7, 0, 1
Let z(u) be the third derivative of u**8/168 - u**6/80 + u**5/120 - 3*u**2. Factor z(g).
g**2*(g + 1)*(2*g - 1)**2/2
Let a be (-15)/(15/(-4)) - (-18)/(-8). Solve 0 - a*g**3 + 1/2*g - 5/4*g**2 = 0.
-1, 0, 2/7
Let u(c) be the first derivative of 14*c**3/3 - 2*c**2 + 1. Factor u(z).
2*z*(7*z - 2)
Let y(r) be the first derivative of 0*r**2 + 2 + 0*r**3 + 0*r + 1/12*r**4. Find j such that y(j) = 0.
0
Let s(l) = 2*l**3 + 12*l**2 + 18*l + 3. Let y(c) = -c**3 - 6*c**2 - 9*c - 2. Let d(q) = -2*s(q) - 5*y(q). What is h in d(h) = 0?
-4, -1
Solve 15/2*h**2 - 6*h + 0 - 3/2*h**3 = 0 for h.
0, 1, 4
Let v(c) be the first derivative of c**3 + 3*c**2 - 9*c + 2. Solve v(l) = 0 for l.
-3, 1
Let l(k) be the first derivative of 2*k**3/3 + k**2 - 4*k + 2. Factor l(s).
2*(s - 1)*(s + 2)
Let f = 0 - 0. Let m(a) be the first derivative of 0*a**2 - 2/35*a**5 + 0*a**3 + 1/14*a**4 - 1 + f*a. Determine q so that m(q) = 0.
0, 1
Let 0*u - 1/7*u**4 - 2/7*u**3 - 1/7*u**2 + 0 = 0. Calculate u.
-1, 0
Let k(v) = -v + 7. Let a be k(10). Let f be 2/4*-2 - a. Factor f*o**2 - 1/2*o + 0 - 3/2*o**3.
-o*(o - 1)*(3*o - 1)/2
Let b be 9/2 + (-3)/6. Let x(l) = -2*l - 72. Let w be x(-36). Let 2/3*y**2 + 0*y - 2/3*y**b + w + 0*y**3 = 0. What is y?
-1, 0, 1
Factor 0*o**3 + 3*o**3 - 57 - 15 - 96*o - 5*o**3 - 26*o**2.
-2*(o + 1)*(o + 6)**2
Let s = -21 - -26. Let o(w) be the third derivative of 0*w - w**2 - 1/12*w**4 + 0*w**3 + 1/60*w**s + 0. Determine x, given that o(x) = 0.
0, 2
Let n(t) = -t**2 + 12*t. Let j be n(12). Determine b, given that j + 1/4*b**2 + 0*b = 0.
0
Factor -4*v**4 - 1666*v - 6*v**2 - 6*v**3 + 1667*v + 11*v**3 + 16*v**4.
v*(v + 1)*(3*v - 1)*(4*v - 1)
Let v(w) = 5*w**3 + 9*w**2 - 9. Suppose -r + 9 + 9 = 0. Let f(a) = -a**3 - 2*a**2 + 2. Let c(u) = r*f(u) + 4*v(u). Let c(h) = 0. Calculate h.
0
Let y(z) be the first derivative of -z**6/120 + 3*z**5/80 - z**4/16 + z**3/24 - z**2 - 1. Let s(h) be the second derivative of y(h). Factor s(j).
-(j - 1)**2*(4*j - 1)/4
Let v(c) be the third derivative of 1/2*c**3 + 1/20*c**5 - 1/4*c**4 - 2*c**2 + 0 + 0*c. Solve v(b) = 0 for b.
1
Factor 8/5 + 0*n - 2/5*n**2.
-2*(n - 2)*(n + 2)/5
Let v(p) be the third derivative of p**5/30 - p**4/12 - 2*p**3 + 24*p**2. What is a in v(a) = 0?
-2, 3
Let g(a) be the second derivative of -1/30*a**6 - 1/126*a**7 - 1/20*a**5 + 0*a**3 - 1/36*a**4 + 0*a**2 + 0 - 4*a. Let g(c) = 0. What is c?
-1, 0
Suppose 5 + 15 = -5*o. Let d be o/4 + (-18)/(-15). Solve -d*w**4 - 2/5 + 3/5*w**2 - 1/5*w**3 + 1/5*w = 0.
-2, -1, 1
Let x(p) be the first derivative of -p**4/18 + 2*p**3/27 + 17. Factor x(h).
-2*h**2*(h - 1)/9
Let l(k) be the third derivative of k**7/840 + k**4/24 - 2*k**2. Let y(m) be the second derivative of l(m). What is p in y(p) = 0?
0
Let a(y) be the first derivative of -3*y**3 + 21*y**2/2 + 18*y + 13. Factor a(h).
-3*(h - 3)*(3*h + 2)
L