 q be 16/3 + w/(-12). Determine x so that -2*x**5 + 5*x**q - 15*x**4 + 8*x - 24*x**2 - x**5 + 26*x**3 + 3*x**4 = 0.
0, 1, 2
Let r(h) be the first derivative of 3/2*h**5 - 5/2*h**3 - 3 + 3/2*h**2 - 3/4*h**4 + 0*h. Find m, given that r(m) = 0.
-1, 0, 2/5, 1
Determine a, given that 2/17*a**4 + 0 + 10/17*a**2 - 8/17*a**3 - 4/17*a = 0.
0, 1, 2
Suppose 2*h + 3*h - 5*y - 45 = 0, y = 2*h - 17. Factor -30*j**2 + 14*j**2 + h*j + 14*j**2 - 6.
-2*(j - 3)*(j - 1)
Let d(m) = -m**3 - 3*m**2 + 5*m + 1. Let z be d(-4). Let l = z + 5. Factor -2*j**l + 0 + j**2 - j**3 + j + 1.
-(j - 1)*(j + 1)**2
Suppose 8 = -5*i + 3*i. Let j be 2/i*(0 - 6). Factor -4*s**3 - s + 2*s**3 + 3*s**3 + j*s**4 - 2*s**4 - s**2.
s*(s - 1)*(s + 1)**2
Let 10 - 80*r**2 - 46*r**3 - 10*r**4 - 29*r**3 - 10*r**4 - 15*r = 0. What is r?
-2, -1, 1/4
Factor -3*n + 12*n - 2*n - 5*n + 4*n**2.
2*n*(2*n + 1)
Let t = -14 - -16. Factor -2*d**3 - 2*d**2 + 2*d**t + 2*d**2.
-2*d**2*(d - 1)
Let j be (-147)/15 - (-2)/(-10). Let p = -6 - j. Suppose u**3 - 1/2*u**p - u + 0 + 1/2*u**2 = 0. What is u?
-1, 0, 1, 2
Let w(a) be the third derivative of 0*a - 1/90*a**5 + 0*a**3 + 0 + 1/12*a**4 + 3*a**2. Factor w(c).
-2*c*(c - 3)/3
Let a(q) be the first derivative of -2 + 0*q**2 + 1/6*q**4 + 0*q - 4/9*q**3. Determine m, given that a(m) = 0.
0, 2
Suppose 0 = 4*u - 2*u + 3*v - 66, -5*u - 5*v + 160 = 0. Let 10 + 24*o**3 - u*o**2 - 2 - 28*o**2 + 16*o = 0. What is o?
-1/4, 2/3, 2
Let 5/6*o**2 + 0 - 2/3*o - 1/6*o**3 = 0. Calculate o.
0, 1, 4
Let f(u) be the first derivative of 2*u**3/9 + u**2 + 4*u/3 + 5. Solve f(c) = 0 for c.
-2, -1
Suppose -3*k = -2*d, 2*d - 3*d = 5*k. Suppose d = -i + 3*i. Suppose 2*p**4 + 4/11*p + i - 2*p**2 + 14/11*p**3 - 18/11*p**5 = 0. What is p?
-1, 0, 2/9, 1
Let l = 10 - -6. Suppose y + 3*y = l. Factor -14*t**3 - 3*t**2 + t**3 + t**3 - 12*t**y.
-3*t**2*(2*t + 1)**2
Let q(s) = -s**2 - 5*s - 4. Let i be q(-3). Let a(r) = r**2 - 9*r. Let p be a(9). Let k**2 - k - k + p*k**i + 2*k**5 + 3*k**2 - 4*k**4 = 0. What is k?
-1, 0, 1
Let w(s) be the second derivative of 3*s**5/20 + s**4/4 - s**3 + 6*s. Find a such that w(a) = 0.
-2, 0, 1
Find s, given that -3*s + 20*s**3 - 14*s**3 + 2*s**2 - 5*s**3 = 0.
-3, 0, 1
Let y(k) = -4*k**3 - 8*k**2 + 4*k + 8. Let o(h) = -h**3 - h**2 + h + 1. Let q = -15 + 21. Let x(b) = q*o(b) - y(b). Factor x(d).
-2*(d - 1)**2*(d + 1)
Let t(p) be the second derivative of -p**8/336 + p**7/630 + p**6/180 + p**2/2 + 3*p. Let i(y) be the first derivative of t(y). Factor i(l).
-l**3*(l - 1)*(3*l + 2)/3
Find b such that 0 + 2/3*b - 2/3*b**3 + 1/6*b**4 - 1/6*b**2 = 0.
-1, 0, 1, 4
Let j(c) = 4 + 1 - 4. Let u(h) = h**2 + 3*h - 5. Let y(d) = d**3 - 5*d**2 - 8*d - 2. Let o be y(6). Let x(i) = o*j(i) - 2*u(i). Factor x(b).
-2*(b + 1)*(b + 2)
Suppose 0 = k - 0*k + 7. Let a(n) = n**3 + 6*n**2 - 8*n - 4. Let b be a(k). Factor 4*t + t**3 + 3*t - b*t**3 - 5*t.
-2*t*(t - 1)*(t + 1)
Let s(h) be the third derivative of -h**5/15 - h**4 - 6*h**3 - 10*h**2. Factor s(r).
-4*(r + 3)**2
Let l(o) be the third derivative of 1/110*o**5 + 1/33*o**3 + 0 + 0*o - 1/33*o**4 - 7*o**2. Factor l(x).
2*(x - 1)*(3*x - 1)/11
Let z be ((-9)/(-3))/(135/18). Factor 0 - 2/5*t**4 - z*t + 2/5*t**3 + 2/5*t**2.
-2*t*(t - 1)**2*(t + 1)/5
Let t(u) be the third derivative of 1/840*u**6 + 0*u**3 + 0*u**5 - 1/168*u**4 + 0 + 0*u + 4*u**2. Factor t(i).
i*(i - 1)*(i + 1)/7
Let w = -118 - -237/2. Let g(i) be the first derivative of -1 - i**2 + 0*i**3 + i - 1/5*i**5 + w*i**4. Factor g(a).
-(a - 1)**3*(a + 1)
Let k = 5/6 + -2/3. Factor 0 + 0*d**3 + 1/3*d**2 + 1/6*d - k*d**5 - 1/3*d**4.
-d*(d - 1)*(d + 1)**3/6
Let w(m) = m**2 + 1. Let u(z) = 6*z**2 - 4*z + 24. Let c(g) = u(g) - 8*w(g). Factor c(v).
-2*(v - 2)*(v + 4)
Let s be ((-6)/(-15))/(7/35). Let v(h) be the second derivative of 0*h**s + h - 1/10*h**5 - 1/30*h**6 + 0 + 0*h**3 - 1/12*h**4. Find k such that v(k) = 0.
-1, 0
Let r(b) be the first derivative of b**5/10 - b**4/8 - b**3/2 + b**2/4 + b + 19. Solve r(f) = 0 for f.
-1, 1, 2
Let k(d) be the first derivative of d**7/840 - d**6/360 - 4*d**3/3 - 1. Let n(f) be the third derivative of k(f). Factor n(z).
z**2*(z - 1)
Let v(y) be the third derivative of y**6/420 - y**5/210 - y**4/84 + y**3/21 - 20*y**2. Suppose v(j) = 0. Calculate j.
-1, 1
Suppose 0*n + 5*p = -n + 25, 2*p = 3*n - 24. Let s be (-76)/(-20) - (-2)/n. What is d in 2*d**5 - 3*d**s - 3*d**3 - d**4 + 5*d**3 = 0?
0, 1
Let n(h) = 2*h**3 - 4*h**2 + 2*h. Let t(c) = -2*c**3 + 4*c**2 - 2*c. Let d = -19 - -21. Let p = -3 - -6. Let y(k) = d*n(k) + p*t(k). Factor y(q).
-2*q*(q - 1)**2
Determine c, given that -3*c - 4*c - c - 2*c**3 - 8*c**2 = 0.
-2, 0
Suppose 0 = 3*d + 2*d - 15. Factor 9*q + 3*q**2 - 12*q - d*q**5 + 6*q**3 - 3*q**2.
-3*q*(q - 1)**2*(q + 1)**2
Let b(c) be the second derivative of -c**4/8 + 13*c**3/2 - 507*c**2/4 + 46*c. Let b(z) = 0. What is z?
13
Suppose 6*z = 2*z - 4*z. Find q such that 1/3*q**4 + q**2 - q**3 + z - 1/3*q = 0.
0, 1
Let m(o) = 3*o + 3. Let n be m(-7). Let j be 4/n - (-50)/63. Find d, given that -j*d - 6/7*d**2 - 2/7*d**3 + 0 = 0.
-2, -1, 0
Let u(o) be the first derivative of o**5/15 + o**4/4 + o**3/3 + o**2/6 + 7. Determine p so that u(p) = 0.
-1, 0
Let n = 12 - 34/3. Let z be 38/551 + 23/87. Factor -n*y**3 + 0*y**2 + 1/3*y**4 - z + 2/3*y.
(y - 1)**3*(y + 1)/3
Let p(s) = s**4 - 4*s**3 + 8*s**2 - 2*s - 3. Let l(o) = -2*o**4 + 8*o**3 - 17*o**2 + 4*o + 7. Let a(h) = -3*l(h) - 7*p(h). Factor a(c).
-c*(c - 2)*(c - 1)**2
Let y(c) be the second derivative of -9*c**6/10 - 9*c**5/2 - 13*c**4/4 + 10*c**3 - 6*c**2 + 12*c. Solve y(s) = 0 for s.
-2, 1/3
Let i = -11 + 11. Suppose -f = -3*b - 4, i*b + 5*f - 20 = -b. Factor 2/7*z + 6/7*z**2 + b.
2*z*(3*z + 1)/7
Let 0*u**2 + 5 + 7*u**2 + 15*u + u**3 + 4 = 0. Calculate u.
-3, -1
Let i(k) be the second derivative of 0*k**3 + 0 - 2*k - 1/20*k**4 + 0*k**2 - 1/70*k**7 - 3/50*k**6 - 9/100*k**5. Factor i(v).
-3*v**2*(v + 1)**3/5
Suppose 3*n + 17 = -f, 0 = -2*f - 3*f + 2*n. Let s(p) = -p**2 - 3. Let j(c) = 3*c**2 + 7. Let k(b) = f*j(b) - 5*s(b). What is d in k(d) = 0?
-1, 1
Let c(l) be the first derivative of -l**7/2100 - l**6/450 - l**3 - 2. Let t(r) be the third derivative of c(r). Let t(i) = 0. What is i?
-2, 0
Let k(f) be the third derivative of -f**8/10080 - f**7/2520 - 7*f**5/60 - 2*f**2. Let t(h) be the third derivative of k(h). Determine q, given that t(q) = 0.
-1, 0
Let w(c) = 2*c**2 - 4*c - 6*c**2 - 4 + 0*c**2. Let r(m) = -11*m**2 - 12*m - 11. Let d(g) = 6*r(g) - 17*w(g). Find o, given that d(o) = 0.
1
Let v(j) be the second derivative of j**5/15 + 2*j**4/9 + 2*j**3/9 - 5*j. What is f in v(f) = 0?
-1, 0
Let q**2 + 0 - 4*q**3 + 7*q**2 + 4*q - 8 + 0*q**2 = 0. What is q?
-1, 1, 2
Let d(r) = -6*r**3 - 4*r**2 + 6*r + 4. Let n(v) = -5*v**3 - 3*v**2 + 5*v + 3. Let o be (-3)/(9/3) + -3. Let q(l) = o*d(l) + 5*n(l). Solve q(g) = 0.
-1, 1
Let a(z) = -z + 2. Let f be a(-4). Factor -3 + 9*d**4 - d**3 - 5*d**3 - 2*d**3 - 4*d**3 + 12*d - f*d**2.
3*(d - 1)**2*(d + 1)*(3*d - 1)
Let x(c) be the third derivative of c**6/60 + 4*c**5/75 - c**4/15 - 8*c**2. Factor x(h).
2*h*(h + 2)*(5*h - 2)/5
Suppose 0 = 4*v + v - 20. Let s(r) = r**2 - 2*r + 4. Let p be s(3). Factor p*z**2 - v*z**3 - z**2 + 0*z**4 + 1 + z**4 - 4*z.
(z - 1)**4
Suppose -67*u = -43*u. Factor 2/3*x**2 + u + 2/3*x.
2*x*(x + 1)/3
Factor 0*w + 1/7*w**4 + 0 - 1/7*w**2 - 1/7*w**5 + 1/7*w**3.
-w**2*(w - 1)**2*(w + 1)/7
Let d(s) be the second derivative of s**6/105 - s**4/14 - 2*s**3/21 - 32*s. What is t in d(t) = 0?
-1, 0, 2
Let l(d) be the first derivative of -3 - d**2 + 2/3*d**3 + 1/2*d**4 + 0*d - 2/5*d**5. Factor l(a).
-2*a*(a - 1)**2*(a + 1)
Suppose 1089*n - 65 = 1076*n. Factor 0*j**3 - 1/2*j**n + 0 + 1/2*j - j**2 + j**4.
-j*(j - 1)**3*(j + 1)/2
Let n be 4/18 - (-1 - (-32)/36). Determine g so that n*g**2 + 4/3 - 4/3*g = 0.
2
Let q(h) be the first derivative of 42/5*h**5 - 4*h**3 + 3*h**2 - 5*h**4 - 3*h**6 + 2*h - 4. Factor q(y).
-2*(y - 1)**3*(3*y + 1)**2
Let d(u) be the second derivative of u**8/1680 - u**7/280 + u**6/120 - u**5/120 + u**3/3 + 3*u. Let h(r) be the second derivative of d(r). Factor h(w).
w*(w - 1)**3
Let a = 2941/3 + -980. Determine o, given that 0*o + 0*o**3 + 0*o**2 - a*o**4 + 0 = 0.
0
Let n = -6 - -6. Let j(r) be the second derivative of 0*r**4 + 3*r + 0*r*