rivative of a(t). Factor k(j).
-2*(j - 3)**2*(j - 1)
Suppose 2*n - 3 = 1. Let h(b) be the third derivative of 1/12*b**4 + 1/12*b**3 + 0 + 1/420*b**7 + 0*b - n*b**2 + 1/60*b**6 + 1/20*b**5. Solve h(m) = 0.
-1
Suppose 4*j - z = -29, 5*z + 0*z = 25. Let a be 1 - (-3)/(3 + j). Solve -2*l**2 + 0*l**4 + 0*l**4 + l**3 + a*l**3 - l + 2*l**4 = 0 for l.
-1, -1/2, 0, 1
Let w = -4295/11 + 391. Find l, given that 2/11*l**5 - 8/11*l + 0 - 8/11*l**4 + w*l**3 + 8/11*l**2 = 0.
-1, 0, 1, 2
Suppose 8/3 + 86/3*r**2 + 14/3*r**4 - 20*r**3 - 16*r = 0. What is r?
2/7, 1, 2
Let p be 2/6 - 33/(-9). What is x in x**5 + 1 + 5*x**2 - 3*x**p - 3*x + 0*x**3 - 3*x**2 + 2*x**3 = 0?
-1, 1
Let k = -3 - -6. Factor 0*a**5 + 2*a**5 + 4*a**k - 3*a**4 - 2*a**3 - a**4.
2*a**3*(a - 1)**2
Let x(s) = -4*s**2 - 3*s - 2. Let z(k) be the first derivative of -k**3 - 3*k**2/2 - 2*k - 3. Let l(j) = -2*x(j) + 3*z(j). Find c such that l(c) = 0.
-2, -1
Let o be -5*(0 + (-4)/10). Let i be ((6/(-10))/(-3))/((-21)/(-35)). Suppose i*a**o + 0*a + 0 = 0. What is a?
0
Let s(p) be the first derivative of -2*p**3/3 + p**2 + 6. Determine l, given that s(l) = 0.
0, 1
Let z be 648/160 + 4*-1. Let n(q) be the third derivative of 0*q - 1/6*q**3 + 0 - 1/24*q**4 + 1/24*q**6 + 3*q**2 + z*q**5 + 1/105*q**7. Solve n(l) = 0.
-1, 1/2
Factor 18*b**2 + 0*b**2 + 202*b - 229*b - 3*b**3.
-3*b*(b - 3)**2
Suppose 0 + 1/3*p**2 + 0*p + 1/6*p**3 = 0. What is p?
-2, 0
Let k(x) be the second derivative of 0*x**3 + 0*x**2 + 0*x**4 + 2/75*x**6 + 1/50*x**5 + 0 - 5*x + 1/105*x**7. Let k(p) = 0. What is p?
-1, 0
Let l(x) be the second derivative of x**4/4 + 2*x. Let l(r) = 0. Calculate r.
0
Let t(q) be the third derivative of q**5/300 - q**4/60 + q**3/30 + q**2. What is c in t(c) = 0?
1
Let p(h) be the second derivative of h**5/30 - h**4/9 - h**3/9 + 2*h**2/3 - 14*h. Factor p(w).
2*(w - 2)*(w - 1)*(w + 1)/3
Let z be (-2)/((-8)/52) + -3. Let s be 6 - z - (-18)/4. Factor 2*y + y**3 - 5/2*y**2 - s.
(y - 1)**2*(2*y - 1)/2
Let n be -1 - (1 + (0 - 2)). Suppose n*k + 1 = -o + 3*k, -3 = -3*k. Determine x, given that -7/2*x**5 - x + 5/2*x**4 - 5/2*x**o + 9/2*x**3 + 0 = 0.
-1, -2/7, 0, 1
Let l(b) be the first derivative of 1/9*b**3 + 0*b - 1/6*b**2 - 1/15*b**5 - 1 + 1/12*b**4. Suppose l(k) = 0. What is k?
-1, 0, 1
Let y be 42/9*(-6)/4. Let j(i) = 3*i**2 - 3*i - 13. Let p(n) = n**2 - n - 4. Let t(x) = y*p(x) + 2*j(x). Factor t(o).
-(o - 2)*(o + 1)
Let q = 30 - 27. Find x such that -13*x + 44*x**2 - 11*x**4 + 45*x**4 - 8*x**5 + 2 - 56*x**3 - q*x = 0.
1/4, 1
Let m(h) = 9*h**5 - 2*h**4 - 3*h**3 + h**2 + 5*h. Let o(f) = f**5 + f**4 - f**3 + f. Let g(x) = m(x) - 5*o(x). What is z in g(z) = 0?
-1/4, 0, 1
Let m(t) be the third derivative of t**9/181440 - t**7/15120 - t**5/12 + 6*t**2. Let n(s) be the third derivative of m(s). Factor n(x).
x*(x - 1)*(x + 1)/3
Let a(s) be the second derivative of s**8/84 - 4*s**7/105 + s**6/24 - s**5/60 - s**2/2 + s. Let x(o) be the first derivative of a(o). Let x(w) = 0. Calculate w.
0, 1/2, 1
Let x(k) be the second derivative of k**8/560 - k**7/280 - k**6/120 + k**5/40 - k**3/6 - 4*k. Let d(o) be the second derivative of x(o). Factor d(j).
3*j*(j - 1)**2*(j + 1)
Let d(o) be the second derivative of 1/150*o**6 + 0*o**3 - 3*o - 1/50*o**5 + 0*o**2 + 1/60*o**4 + 0. Factor d(j).
j**2*(j - 1)**2/5
Let z(d) = d**5 - d**4 + d**3 - d + 1. Let l(g) = g**5 + 14*g**4 - 35*g**3 + 36*g**2 - 16*g + 4. Let k(u) = -l(u) + 4*z(u). Solve k(w) = 0.
0, 1, 2
Let b(z) = 0*z + 0*z**2 + 4*z**2 - 2*z. Let d(q) = 3*q**2 - 6*q**2 + 2*q**2. Let s(w) = b(w) + 6*d(w). Find y such that s(y) = 0.
-1, 0
Factor 12*h**2 - 2*h**3 + 4 - h - 9*h - 4*h**2.
-2*(h - 2)*(h - 1)**2
Let b be (12/9)/((-2)/(-3)). Let n(d) be the third derivative of 0 + 1/30*d**5 + 2*d**b - 1/12*d**4 - 2/3*d**3 + 0*d. Factor n(z).
2*(z - 2)*(z + 1)
Let g(b) = -3*b**2 - 2*b + 9. Let t(p) = -p**2 + p. Let x(y) = 3*g(y) - 12*t(y). Determine n, given that x(n) = 0.
3
Let g(c) be the first derivative of c**6/6 + 3*c**5/5 + c**4/2 - 14. Factor g(t).
t**3*(t + 1)*(t + 2)
Factor 2*l**2 - 3*l**2 - 63 + 9*l**4 + 2*l**2 + 51 + 30*l**3 - 28*l.
(l - 1)*(l + 3)*(3*l + 2)**2
Let q(p) be the second derivative of p**4/5 - 7*p**3/10 - 3*p**2/5 - p. Factor q(h).
3*(h - 2)*(4*h + 1)/5
Suppose 0*u = -u + 16. Let w be ((-3)/4)/((-18)/u). Factor 0*l**2 - 4/3*l**5 + 0*l + 0*l**3 + w*l**4 + 0.
-2*l**4*(2*l - 1)/3
Let w(p) be the first derivative of -p**7/700 + p**6/450 + p**5/300 - p**3 + 3. Let v(f) be the third derivative of w(f). Factor v(s).
-2*s*(s - 1)*(3*s + 1)/5
Let i(x) be the first derivative of 3/7*x**2 + 2/21*x**3 - 3 + 4/7*x. Factor i(f).
2*(f + 1)*(f + 2)/7
What is r in -1/4*r**4 - 1/4*r**5 + 1/4*r**3 + 0 + 1/4*r**2 + 0*r = 0?
-1, 0, 1
Let k be (4 - 2) + 2 + (-2 - 0). Let i(f) be the first derivative of 0*f - 1/3*f**k - 1/9*f**3 + 2. Let i(d) = 0. What is d?
-2, 0
Let z be ((-8)/(-20))/(2/20). Solve 6*w**z + 0*w**4 - 3*w**4 - 3*w**3 = 0 for w.
0, 1
Let d(x) be the third derivative of 0*x + 1/4*x**4 + 0 - 1/42*x**8 - 2/35*x**7 + 1/60*x**6 + 2*x**2 + 1/6*x**3 + 11/60*x**5. Suppose d(n) = 0. What is n?
-1, -1/2, 1
Suppose 0 = -2*x + 11 - 3. Suppose t = -2*t + 3*m + 18, 0 = -x*m - 16. Let -5*a**t - a**4 + 3*a**4 + a**3 + 4*a**2 = 0. Calculate a.
-1, 0, 1/2
Let -2/19*c**2 + 0*c + 8/19 = 0. What is c?
-2, 2
Let k(t) = t - 8. Let i be k(8). Let z(u) be the third derivative of 2*u**2 + i*u + 0*u**4 + 0*u**3 - 1/240*u**5 + 0. Determine s so that z(s) = 0.
0
Suppose -2*k = -6 + 2. Let n = k + 0. Let 2*j - 2/3 - 4/3*j**n = 0. What is j?
1/2, 1
Suppose 0*v**2 + v - v**3 + 1/2 - 1/2*v**4 = 0. Calculate v.
-1, 1
Let c be 1 - 2 - (-6)/3. Factor c + 2*o**2 - 4*o**2 - 5 + o - 7*o.
-2*(o + 1)*(o + 2)
Let y = 10 - -4. Let -11*q**4 - 4*q**5 - y*q**3 - q**4 + 2*q**3 - 4*q**2 = 0. What is q?
-1, 0
Suppose 3*t = 2*r + 64, 88 = 4*t - 0*t - 4*r. Determine g so that g - 4*g + 2*g**2 - 3*g**5 - 14*g**2 + 2*g**3 - 12*g**4 - t*g**3 = 0.
-1, 0
Let h = -1/2 - -5/4. Solve 1/4*n + 0 + h*n**2 + 1/4*n**4 + 3/4*n**3 = 0.
-1, 0
Let c(y) be the second derivative of -y**5/4 + 5*y**3/2 + 5*y**2 - 8*y. Find q such that c(q) = 0.
-1, 2
Let p = 39 - 35. Solve -4*k**p - 26/3*k**3 - 8*k**2 + 0 - 2/3*k**5 - 8/3*k = 0.
-2, -1, 0
Let n = -906 + 908. Find o, given that -3/2*o**4 + 0*o + 3/2*o**3 + 0 + 0*o**n = 0.
0, 1
Solve -28/9*o**3 - 2/9*o**4 - 4/3*o + 4/9*o**5 + 0 + 38/9*o**2 = 0 for o.
-3, 0, 1/2, 1, 2
Let p = -17 - -44. Find s such that -12*s + 3*s**2 - s + p - s - 4*s = 0.
3
Let k(g) be the first derivative of 2/3*g**3 + 0*g - 4 - 1/2*g**4 + 0*g**2. Factor k(f).
-2*f**2*(f - 1)
Let p(f) = -f**2 + 6*f. Let h be p(5). Suppose -h*o + 8 = -2. Solve -2*y + o*y**2 - 5*y**2 + 2*y**2 - 1 = 0.
-1
Let b(t) be the first derivative of t**4/26 - 2*t**3/39 - t**2/13 + 2*t/13 - 11. Determine w so that b(w) = 0.
-1, 1
Let g be (-6)/(-21) - (-18)/(-14). Let h be g*(3 + -6 + 1). Factor 0 - 1/3*p**h + 0*p.
-p**2/3
Let q be (-7)/40 - (-37)/185. Let f(m) be the third derivative of -1/70*m**7 + 1/20*m**5 + 0*m**3 + 0 + 3*m**2 + 1/8*m**4 + 0*m - q*m**6. Factor f(j).
-3*j*(j - 1)*(j + 1)**2
Let x(n) = -8*n**3 - 3*n**2 + 5*n - 7. Let t(j) = 7*j**3 + 3*j**2 - 4*j + 6. Let i(u) = -7*t(u) - 6*x(u). Solve i(v) = 0 for v.
-2, -1, 0
Let 0 - 9/2*i**3 + 9/2*i**5 + i**4 + 0*i - i**2 = 0. Calculate i.
-1, -2/9, 0, 1
Let i(y) = -5*y**5 - 30*y**4 - 356*y**3 - 2156*y**2 - 6484*y - 7772. Let n(b) = -b**5 + b**3 + b**2 - b + 1. Let p(a) = i(a) - 4*n(a). What is s in p(s) = 0?
-6
Let a(u) be the first derivative of -2*u**3/21 + 2*u**2/7 - 9. Find i such that a(i) = 0.
0, 2
Let c = -549 + 549. Factor 2*s**3 - 2/3*s**5 + 4/3*s + 2/3*s**4 + c - 10/3*s**2.
-2*s*(s - 1)**3*(s + 2)/3
Let l(h) be the first derivative of -2/3*h**3 + 3 + 0*h + 1/3*h**6 - 3/2*h**4 + 2*h**2 + 2/5*h**5. Factor l(i).
2*i*(i - 1)**2*(i + 1)*(i + 2)
Let r = 14 + -12. Let w(x) be the first derivative of 0*x**r - 1 + 0*x - 5/2*x**4 - 4/3*x**3. Solve w(c) = 0.
-2/5, 0
Let x(u) = 17*u**3 - 25*u**2 - 9. Let h(l) = l**2 - 7*l**2 + 1 - 3 + 4*l**3. Let a(g) = -4*g - 51. Let z be a(-15). Let n(c) = z*h(c) - 2*x(c). Factor n(q).
2*q**2*(q - 2)
Let j = 3/142 - -251/1562. Find s, given that 8/11 - 8/11*s + j*s**2 = 0.
2
Let u be (51/(-108))/(-1) + 4/(-18). Factor 1/4*k + 0 + 3/4*k**3 + 3/4*k**2 + u*k**4.
k*(k +