t derivative of 3*y**4/28 - 3*y**3/7 + 3*y**2/7 + 12. Determine z so that v(z) = 0.
0, 1, 2
Determine s so that -2*s**4 + 5*s**3 + s**3 - s**4 - 3*s**2 = 0.
0, 1
Let g(h) be the second derivative of 1/12*h**4 + 0 + 8*h + 0*h**2 + 1/3*h**3. Factor g(s).
s*(s + 2)
Let t(q) be the third derivative of -q**5/510 + q**4/204 - 8*q**2. Factor t(a).
-2*a*(a - 1)/17
Let f(k) = -29*k**2 - 35*k - 6. Let w(i) = -260*i**2 - 315*i - 55. Let x(g) = -35*f(g) + 4*w(g). Factor x(o).
-5*(o + 1)*(5*o + 2)
Suppose -4*y = 4*k - 20, 2*y + 2 + 0 = 4*k. Determine w so that 0*w**3 - 2*w**3 + 0*w**3 + 5*w**y - 3*w = 0.
-1, 0, 1
Let t(f) be the second derivative of -f**6/6 + 3*f**5/4 - 10*f**3/3 - 7*f - 1. Factor t(k).
-5*k*(k - 2)**2*(k + 1)
Suppose -o + 6 = 2*o. Determine b, given that -3*b**4 + 7*b**3 + 3*b**5 + 4 - 8*b + b**2 - 2*b**5 - o*b**4 = 0.
-1, 1, 2
Let i(u) = -u**2 - 6*u + 3. Let s be i(-6). Let f be s/15 + 44/80. Factor 0*d**2 - f*d + 1/2 + 1/4*d**3.
(d - 1)**2*(d + 2)/4
Suppose 7/6*l**2 - 7/6*l + 1/6 + 23/6*l**3 - 4/3*l**4 - 8/3*l**5 = 0. Calculate l.
-1, 1/4, 1
Let h(m) be the first derivative of -m**8/1176 - m**7/735 + m**6/420 + m**5/210 - 5*m**2/2 - 9. Let w(y) be the second derivative of h(y). Factor w(s).
-2*s**2*(s - 1)*(s + 1)**2/7
Let m(z) be the first derivative of -1/3*z**2 - 3 - 1/12*z**4 + 1/3*z**3 + 0*z. Find f such that m(f) = 0.
0, 1, 2
Let u be (15/(-9))/((-10)/36). Let s be 68/10 - u/3. Let 12/5*o**2 - 2/5*o - 6/5*o**5 - s*o**3 + 0 + 4*o**4 = 0. What is o?
0, 1/3, 1
Let x(f) be the first derivative of -1/240*f**6 - 1/3*f**3 + 0*f - 1/6*f**4 - 1/24*f**5 - 2 - f**2. Let y(o) be the second derivative of x(o). Factor y(a).
-(a + 1)*(a + 2)**2/2
Let p(b) be the first derivative of -b**3/21 - b**2/14 - 7. Factor p(q).
-q*(q + 1)/7
Let v(a) = -a**2 - a - 1. Let q(t) = 34*t - 126. Let k(h) = -2*q(h) - 4*v(h). Factor k(y).
4*(y - 8)**2
Solve 0*c - 2/7*c**4 + 4/7*c**3 + 0 - 2/7*c**2 = 0 for c.
0, 1
Let f(m) be the second derivative of -m**7/189 + m**6/135 + m**5/90 - m**4/54 + 5*m. Factor f(k).
-2*k**2*(k - 1)**2*(k + 1)/9
Let p(h) = h**2 + 3*h - 6. Let m be p(-5). Suppose -m - 8 = -4*w. Find x, given that 0 - 10/7*x**2 + 10/7*x**4 + 4/7*x**w - 4/7*x = 0.
-1, -2/5, 0, 1
Suppose 0 = -4*x - 2*k + 5*k + 70, -36 = -2*x + 2*k. Factor 0*i**2 + x*i**3 - 17*i**3 - i**2.
-i**2*(i + 1)
Let q(s) = 3*s. Let p be q(1). Let a(o) be the third derivative of -o**2 - 1/12*o**4 + 0*o + 0 + 1/6*o**p + 1/60*o**5. Determine y so that a(y) = 0.
1
Let 3/2*y**5 + 0*y**4 + 0*y - 9/2*y**3 + 3*y**2 + 0 = 0. Calculate y.
-2, 0, 1
Suppose -4/7*w + 0*w**2 + 4/7*w**3 + 2/7*w**4 - 2/7 = 0. What is w?
-1, 1
Determine m, given that 56/3*m**2 + 6*m**4 - 20*m**3 - 16/3*m + 0 = 0.
0, 2/3, 2
Let v be 9/12 - 1 - 25/(-100). Find u, given that -6/7*u**2 + 3/7*u**3 + v + 3/7*u = 0.
0, 1
Factor -4*f**2 - 17*f**4 + 5*f**4 + 8*f**4 - f - 6*f**3 - f**5.
-f*(f + 1)**4
Let q be (-2)/(-11) + 1060/(-7040). Let v(w) be the third derivative of 1/80*w**5 + 2*w**2 + 1/24*w**3 + 0*w - q*w**4 - 1/480*w**6 + 0. Factor v(l).
-(l - 1)**3/4
Let s be (28/(-210))/(12/(-10)). Let a(p) be the third derivative of 7/360*p**6 + 1/24*p**4 - s*p**3 + 1/15*p**5 - p**2 + 0*p + 0. Determine g so that a(g) = 0.
-1, 2/7
Let h = 17 - -11. Let x be 3/(-12) - h/(-48). Solve 0 + x*a**4 - 1/3*a - a**3 + a**2 = 0 for a.
0, 1
Let h(z) be the first derivative of 3*z**6/40 + z**5/5 + z**4/8 - 3*z**2/2 - 1. Let v(x) be the second derivative of h(x). Find j such that v(j) = 0.
-1, -1/3, 0
Let f be (0 + 0 + -1)/(-1). Let s be f/(10/(-6)) + 1. Factor 4/5*a**2 + s*a**3 + 2/5*a + 0.
2*a*(a + 1)**2/5
Let i(o) = -o**2 + 3*o - 3. Let f(u) = -u**2 + 2*u - 2. Let r(s) = 6*f(s) - 4*i(s). Let r(h) = 0. What is h?
0
Let s = 11 - -1. Suppose -2*y = y - s. Let -y*a**4 - 3*a**3 + 3*a**4 - 4*a**2 + a**2 - a = 0. Calculate a.
-1, 0
Suppose -10 = -3*t - 2*t. Let z(i) = -i**3 + 2*i**2 + 2. Let u be z(t). Solve -2/5*b**u + 0*b + 2/5 = 0.
-1, 1
Let p(m) be the first derivative of -3*m**2 + 1/2*m**4 + 3 + 0*m**3 + 4*m. Determine k, given that p(k) = 0.
-2, 1
Suppose 3 = 2*l - 1. Suppose -6*u + 2*u + 8 = 0. Determine b, given that 0*b + 3*b - b**3 - 2*b**u + l - 2*b = 0.
-2, -1, 1
Let i(g) be the second derivative of g**7/10080 + g**6/720 + g**5/160 + 7*g**4/12 + g. Let y(m) be the third derivative of i(m). Factor y(p).
(p + 1)*(p + 3)/4
Let y be (0 + -6)*(-8)/12. Suppose u - y*u + 15 = 0. Factor -6*m**2 - 2*m**4 + 11 + u*m**4 - 8.
3*(m - 1)**2*(m + 1)**2
Let n(c) be the first derivative of c**7/3360 + c**6/1440 - c**5/480 - c**4/96 + 5*c**3/3 + 1. Let u(t) be the third derivative of n(t). What is x in u(x) = 0?
-1, 1
Let s(z) be the first derivative of 6*z**2 + 4/3*z**3 - 7 + 0*z. Determine u so that s(u) = 0.
-3, 0
Let n = 61 + -9. Let i = n + -20. Suppose i*u + 59*u**2 + 66*u**3 - 32 + 37*u**2 + 10*u**4 - 10*u**3 = 0. What is u?
-2, 2/5
Let s(t) be the third derivative of -t**6/60 - 7*t**5/90 - t**4/18 + 22*t**2. Factor s(c).
-2*c*(c + 2)*(3*c + 1)/3
Let l(u) be the third derivative of -u**5/12 + 5*u**4/24 + 5*u**3/3 - 7*u**2 - 6. Factor l(q).
-5*(q - 2)*(q + 1)
Let v = 20 - 18. Factor 4*x - 7*x**2 + 14*x + 10*x**v + 27.
3*(x + 3)**2
Let d be (-90)/(-21) - (-4)/(-14). Let g be (-20)/(-24) - 2/d. Suppose 0 + g*f**5 + 0*f**2 - 2/3*f**4 + 1/3*f**3 + 0*f = 0. What is f?
0, 1
Factor f - 5*f - 2*f**2 + 2*f**3 + 4 + 4*f**3 - 2*f**4 - 2*f.
-2*(f - 2)*(f - 1)**2*(f + 1)
Let f(o) be the first derivative of o**6/60 - o**5/15 + o**4/12 + 5*o**2/2 + 3. Let b(u) be the second derivative of f(u). Let b(i) = 0. Calculate i.
0, 1
Let p be 121/77 - 6/(-14). Let q(s) be the third derivative of -p*s**2 + 1/150*s**5 - 1/300*s**6 + 1/60*s**4 + 0*s + 0 - 1/15*s**3. Suppose q(j) = 0. What is j?
-1, 1
Suppose -2*f - 32 = -3*a - 11, -34 = -5*a + 3*f. Let i(p) be the second derivative of 0*p**3 + 2*p + 0 + 1/5*p**a - 1/5*p**6 + 0*p**4 + 0*p**2. Factor i(j).
-2*j**3*(3*j - 2)
Let z be -1 + (-242)/(-48) - 212/53. Let w(f) be the second derivative of 0*f**3 - z*f**4 + 0*f**2 + f + 0. Solve w(s) = 0.
0
Let x(n) = n**4 + n**2 + n - 1. Let z(t) = -5*t**4 - 4*t**3 - 7*t**2 - 3*t + 5. Let v(w) = 14*x(w) + 2*z(w). Let v(l) = 0. What is l?
-1, 1
Let n = -149 + 599/4. Factor 3/4*t**2 - n - 3/4*t**3 + 3/4*t.
-3*(t - 1)**2*(t + 1)/4
Let j(v) be the second derivative of -v**4/42 - v**3/21 + 3*v. Factor j(y).
-2*y*(y + 1)/7
Factor 0*j + j**2 + 11 - 4 - 2*j - 6.
(j - 1)**2
Suppose -s = 2*s - 6. Let h**4 + 0*h**5 + h**2 + h**5 - s*h**4 + h**3 - 2*h**5 = 0. What is h?
-1, 0, 1
Suppose -d - j + 18 = 0, d - 2*j - 6 - 3 = 0. Suppose -d = -6*w + w. Factor c**w + c**2 - c**4 - c**5 + 5*c - 5*c.
-c**2*(c - 1)*(c + 1)**2
Let -3/2*i**2 + 1/4*i**4 + i + 5/4 - i**3 = 0. What is i?
-1, 1, 5
Let n = 941/4920 + -15/82. Let r(t) be the third derivative of 0*t**3 - n*t**5 + 0*t + 1/240*t**6 + 0 - 2*t**2 - 1/24*t**4. Determine s so that r(s) = 0.
-1, 0, 2
Solve -9*s**3 - 4*s**4 - 6*s - 2*s**4 - 6 + 0*s**4 + 15*s + 12*s**2 = 0.
-2, -1, 1/2, 1
Let y(g) be the third derivative of g**8/1008 - 2*g**7/315 - g**6/180 + g**5/15 + g**4/8 + 22*g**2. Find f, given that y(f) = 0.
-1, 0, 3
Let c = 6 - 4. Let b = 2 + c. Suppose 0*m**4 - 4*m**2 - m**5 - 2*m + b*m**4 + 3*m**5 = 0. What is m?
-1, 0, 1
Let o(k) be the second derivative of -1/21*k**3 - 1/84*k**4 + 5*k + 0 - 1/14*k**2. Factor o(w).
-(w + 1)**2/7
Let f(x) be the second derivative of -27*x**6/70 - 279*x**5/140 - 137*x**4/42 - 2*x**3 - 4*x**2/7 + 2*x. Find o, given that f(o) = 0.
-2, -1, -2/9
Let a = -128 - -1156/9. Factor 0*g + 14/9*g**3 + 0 - a*g**2.
2*g**2*(7*g - 2)/9
Let p(z) = -8*z**3 + 8*z**2 + 6*z - 5. Suppose 3*v + v = -16. Let q(f) = -7*f**3 + 7*f**2 + 6*f - 4. Let c(t) = v*p(t) + 5*q(t). What is a in c(a) = 0?
-1, 0, 2
Let a(i) = 5*i + 3. Let f be a(5). Let u be 1 + 2 - f/12. Determine t, given that -2/3 - 2/3*t**3 + u*t**2 + 2/3*t = 0.
-1, 1
Suppose -17*k - 27*k + 176 = 0. What is m in 0*m**2 + 1/3*m**k + 0*m + 0 - 1/3*m**3 = 0?
0, 1
Suppose 5 = -2*k + 11. Suppose d = 5, k*l - 4*d = -19 + 5. Determine o so that -o**3 + 1/2*o + 1/2 - o**l + 1/2*o**5 + 1/2*o**4 = 0.
-1, 1
Let t(f) be the third derivative of f**7/70 + f**6/6 + 19*f**5/30 + f**4/2 - 3*f**3/2 - 68*f**2. Factor t(y).
(y + 1)*(y + 3)**2*(3*y - 1)
Let k(q) be the second derivative of q**7/42 + 