 be the first derivative of l**4/6 - 4*l**3/9 - 19. Solve h(s) = 0.
0, 2
Let r = -689 + 2757/4. Factor -3*u + 3/2*u**2 - r*u**3 + 2.
-(u - 2)**3/4
Factor -2/3*n**3 + 4/3*n + 2/3*n**2 + 0.
-2*n*(n - 2)*(n + 1)/3
Let b(c) be the second derivative of 3*c**5/140 + 5*c**4/28 + 3*c**3/7 + 18*c. Solve b(o) = 0.
-3, -2, 0
Let n(j) be the second derivative of -j**6/75 - j**5/25 - j**4/30 + 6*j. Factor n(g).
-2*g**2*(g + 1)**2/5
Let m(r) = r**2 - 3*r + 2. Let u be m(4). Let l(y) be the third derivative of 0*y**3 - 1/12*y**4 + 0*y - 2*y**2 + 0 + 1/60*y**u + 0*y**5. Solve l(n) = 0 for n.
-1, 0, 1
Suppose -4 = -2*m + 4*h, -m + 2*h - 6 = -4*m. Let g(o) be the third derivative of 3*o**m + 0*o + 1/3*o**3 + 1/12*o**4 + 0 - 1/60*o**6 - 1/30*o**5. Factor g(a).
-2*(a - 1)*(a + 1)**2
Suppose 5*v = 6*v - 3. Factor -3*s**3 - 4*s**4 + 2*s**v + 5*s**4 + 2*s**3.
s**3*(s + 1)
Suppose -3 = -g + 1. Suppose -6*x**3 - 2*x**5 - x**4 + 5*x**g + 4*x**5 + 8*x**3 = 0. Calculate x.
-1, 0
Let h(z) be the second derivative of 0*z**2 - 4/9*z**3 - 11/30*z**5 + 2/3*z**4 + 3*z + 0 + 1/15*z**6. Let h(o) = 0. What is o?
0, 2/3, 1, 2
Let r be (-12 + -3)*(-2)/(-5). Let w be (-2)/6 - 14/r. Determine g so that -34*g**4 + g**5 + 16*g**5 + 4*g**5 + g**3 + 16*g**w - 4*g = 0.
-2/3, 0, 2/7, 1
Let k(i) be the third derivative of -i**6/480 + i**5/60 - 32*i**2. Factor k(v).
-v**2*(v - 4)/4
Let i(v) be the second derivative of v**5/60 - v**4/12 + v**3/9 - 16*v. Factor i(r).
r*(r - 2)*(r - 1)/3
Let a(h) be the second derivative of 2*h**2 + 2*h**3 - 2/5*h**6 + 0 - 2/21*h**7 - 2/5*h**5 + 2*h + 2/3*h**4. Factor a(y).
-4*(y - 1)*(y + 1)**4
Let y be 6/2*4/3. Suppose 5*l - 11 - 14 = 0. Factor j**3 - l*j**3 + 3*j**3 - y*j + 4*j**2.
-j*(j - 2)**2
Let a(j) be the first derivative of 2*j**3/3 - 8. What is u in a(u) = 0?
0
Let n be -3 + 7 + -2 + (-3 - -1). Let o(s) be the first derivative of 0*s**3 - 2/3*s**6 + 0*s**2 + 3 - 1/2*s**4 + n*s - 6/5*s**5. Suppose o(x) = 0. Calculate x.
-1, -1/2, 0
Let w be (-19 - -19)*(0 - -1). Solve w*l**4 - 1/6*l**5 + 0 + 1/2*l**3 - 1/3*l**2 + 0*l = 0.
-2, 0, 1
Let y = 101/4 + -25. Let i(x) be the second derivative of 0 - 1/84*x**7 - 1/4*x**2 + 2*x + 1/20*x**6 + y*x**3 - 1/20*x**5 - 1/12*x**4. Solve i(f) = 0.
-1, 1
Suppose 2*q = -2*q - 2*p + 16, 4*q + p - 20 = 0. Factor -4 + q*k**4 - 9*k + 6*k**2 + 15*k - 7*k**3 - 7*k**3.
2*(k - 1)**3*(3*k + 2)
Suppose 27*f - 34*f = 0. Let f*s**3 + 2/3 - 4/3*s**2 + 0*s + 2/3*s**4 = 0. What is s?
-1, 1
Let o(u) = 2*u**3 + 24*u**2 - 98*u - 4. Let k(q) = 3*q**3 + 49*q**2 - 196*q - 7. Let w(g) = -4*k(g) + 7*o(g). Factor w(h).
2*h*(h - 7)**2
Let h(m) = -2*m**2 + 6*m - 4. Let r(n) = -4*n - 9*n - 5*n - 2 + 14 + 6*n**2. Let s(d) = -17*h(d) - 6*r(d). Factor s(v).
-2*(v - 2)*(v - 1)
Let d(u) = u**2 - u. Let z(y) = -30*y**2 - 105*y - 845. Let v(r) = 25*d(r) + z(r). Find a such that v(a) = 0.
-13
Let r(n) be the first derivative of -2/27*n**3 - 1 + n + 0*n**2 + 1/54*n**4. Let m(a) be the first derivative of r(a). Solve m(h) = 0.
0, 2
Find b such that 0*b + 4/7*b**2 + 0 - 2/7*b**5 - 10/7*b**3 + 8/7*b**4 = 0.
0, 1, 2
Let c(j) = -4*j**4 - 8*j**3 + 4*j + 4. Let m = 1 + 0. Let q(a) = -a**3 - a**2 + 1. Let z(o) = m*c(o) - 4*q(o). Let z(p) = 0. What is p?
-1, 0, 1
Factor 3/2*q**2 - 1/2*q - 3/2 + 1/2*q**3.
(q - 1)*(q + 1)*(q + 3)/2
Let f(h) be the first derivative of -h**5/10 - h**4/4 + h**3/6 + h**2/2 + 10. Factor f(c).
-c*(c - 1)*(c + 1)*(c + 2)/2
Let p(m) = 5*m**3 + 8*m**2 - 3*m - 6. Let r(q) = -9*q**3 - 14*q**2 + 6*q + 11. Let z(v) = 11*p(v) + 6*r(v). Factor z(c).
c*(c + 1)*(c + 3)
Let h = 33/2 - 16. Let k(t) be the first derivative of -2 - 1/3*t**3 + 1/4*t**4 - h*t**2 + t. Factor k(i).
(i - 1)**2*(i + 1)
Determine c so that -72/7 + 22/7*c**2 - 2/7*c**4 + 4/7*c**3 - 24/7*c = 0.
-2, 3
Let x(v) be the third derivative of v**7/10080 - v**6/1440 - v**4/12 + 3*v**2. Let g(j) be the second derivative of x(j). Let g(c) = 0. What is c?
0, 2
Let x(q) = q**3 - 3*q**2 + 4*q - 2. Let k be x(2). Factor -k*w**2 - 2*w - 3*w + 3*w.
-2*w*(w + 1)
Let c(w) be the first derivative of -5*w**6/6 - w**5 + 5*w**4/2 - 29. Determine r, given that c(r) = 0.
-2, 0, 1
Let m be ((-6)/216)/(80/(-6)). Let f(l) be the third derivative of 0*l**5 - 4*l**2 + 1/96*l**4 + 0*l**3 - m*l**6 + 0 + 0*l. Suppose f(v) = 0. Calculate v.
-1, 0, 1
Factor -7*z**2 + 4*z**2 - 5*z + 18 + 20*z.
-3*(z - 6)*(z + 1)
Let u(h) be the third derivative of 0 + 1/15*h**5 + 1/3*h**3 + 0*h + 1/72*h**6 - 1/6*h**4 + h**2. Let m(o) be the first derivative of u(o). Factor m(z).
(z + 2)*(5*z - 2)
Let t be (-3*2/3)/(-1). Let j = t + 3. Factor 5*o**2 + o**3 - 7*o**3 + j*o**3 - 8*o + 4.
-(o - 2)**2*(o - 1)
Let z(t) = 2*t + 2. Let g be z(0). Solve -9*q + 3*q**2 + 6 + q**g - q**2 = 0 for q.
1, 2
Let i(s) = 15*s + 150. Let x be i(-10). Factor x + 3/4*o - 3/4*o**2.
-3*o*(o - 1)/4
Let l(z) = -474*z**2 + 404*z - 106. Let s(b) = -95*b**2 + 81*b - 21. Let x(a) = 3*l(a) - 16*s(a). Determine d, given that x(d) = 0.
3/7
Let b(y) be the third derivative of -y**8/2184 + y**6/390 - y**4/156 + 3*y**2. Factor b(f).
-2*f*(f - 1)**2*(f + 1)**2/13
Determine d so that -1/2*d**2 + 2 - 3/2*d = 0.
-4, 1
Let m(p) be the third derivative of 8*p**2 + 2/27*p**3 + 1/36*p**5 + 1/1890*p**7 + 0 + 13/216*p**4 + 0*p + 7/1080*p**6. Factor m(y).
(y + 1)**3*(y + 4)/9
Let t(g) be the second derivative of -g**6/420 - g**5/210 + g**4/84 + g**3/21 - g**2 - 3*g. Let l(h) be the first derivative of t(h). Factor l(k).
-2*(k - 1)*(k + 1)**2/7
Let c(j) be the second derivative of -j**5/20 - 14*j. Determine f, given that c(f) = 0.
0
Let u(m) be the first derivative of -2*m**5/55 - m**4/22 + 4*m**3/33 + 7. Find b, given that u(b) = 0.
-2, 0, 1
Let g(y) = -4*y + 4. Let m be g(-9). Let -18*t**5 + m*t**4 - 26*t**3 + 7*t**2 + t**2 - 4*t**2 = 0. Calculate t.
0, 2/9, 1
Suppose -4*h - 2*n + n + 7 = 0, 0 = 5*h - 4*n - 35. Factor -2*q**3 + h*q**3 + 4*q**3 - q**3.
4*q**3
Let z be 4 - (2 + -6 + 3). Factor -f**3 + 12*f**z + 7*f**3 + 6*f**2 - 3*f**2 - 21*f**4 + 0*f**2.
3*f**2*(f - 1)**2*(4*f + 1)
Let u(b) be the second derivative of -b**6/600 + b**5/100 - b**4/40 - b**3/6 - 3*b. Let x(f) be the second derivative of u(f). Determine i, given that x(i) = 0.
1
Let n(m) be the third derivative of m**5/80 + 5*m**4/16 + 25*m**3/8 + 2*m**2. Determine y so that n(y) = 0.
-5
Let s(n) = n**3 + 8*n**2 - 7*n - 9. Let b be s(-7). Let p = b - 443/5. Factor 0*m**3 + 4/5*m**4 - p*m + 0 + 2/5*m**5 - 4/5*m**2.
2*m*(m - 1)*(m + 1)**3/5
Let w(h) be the third derivative of -h**7/630 + h**6/180 + h**5/60 - h**4/18 - 2*h**3/9 + 3*h**2. Factor w(b).
-(b - 2)**2*(b + 1)**2/3
Let b(d) be the first derivative of -d**4/4 + 14*d**3/3 - d**2/2 + 16*d + 8. Let z be b(14). Let 1/4*k + 1/2 - 1/4*k**z = 0. What is k?
-1, 2
Let r(w) = 7*w**2 + 13*w - 4. Let m(o) = 57*o**2 + 105*o - 33. Let k(l) = -4*m(l) + 33*r(l). Let k(h) = 0. What is h?
-3, 0
Factor 9/4*b + 0*b**2 - 3/2 - 3/4*b**3.
-3*(b - 1)**2*(b + 2)/4
Let q(b) be the second derivative of -1/84*b**7 - 2*b - 3/20*b**5 + 0*b**2 + 0 - 1/15*b**6 - 1/12*b**3 - 1/6*b**4. Factor q(p).
-p*(p + 1)**4/2
Let u(s) be the third derivative of s**7/840 + s**6/240 + s**5/240 - 8*s**2. Factor u(f).
f**2*(f + 1)**2/4
Factor 2/7*j**2 - 4/7*j + 2/7.
2*(j - 1)**2/7
Let c(i) be the first derivative of -1/4*i**2 + 3 + 0*i - 1/6*i**3. Suppose c(x) = 0. What is x?
-1, 0
Factor -32*o + 7*o**2 + 13*o**2 + 0 - 8 - 8.
4*(o - 2)*(5*o + 2)
Let q(w) = -w**2 - 13*w + 3. Suppose 0 = m + 3 - 4. Let s(c) = m + 0 + 14*c - 2 - 3. Let t(r) = -6*q(r) - 5*s(r). Find n such that t(n) = 0.
-1, -1/3
Suppose -23 = -4*o - 7. Suppose 2/7*u + 0 + 2/7*u**o - 2/7*u**3 - 2/7*u**2 = 0. Calculate u.
-1, 0, 1
Let g(q) be the first derivative of q**2 + 3 + 0*q**4 + 0*q**3 - 1/180*q**6 + 0*q - 1/90*q**5. Let u(k) be the second derivative of g(k). Solve u(r) = 0 for r.
-1, 0
Let v(q) = 20*q**4 - 6*q**3 + 5*q**2 + 5. Let x(b) = -21*b**4 + 6*b**3 - 6*b**2 - 6. Let u = -3 - -9. Let k(t) = u*v(t) + 5*x(t). Factor k(h).
3*h**3*(5*h - 2)
Find f, given that f - 5*f - 4*f + 4*f**2 = 0.
0, 2
Factor -2 + 2/9*p**2 - 16/9*p.
2*(p - 9)*(p + 1)/9
Let a be 6/(-28)*104/(-78). Factor -a*v**2 + 0*v + 0 - 6/7*v**3.
-2*v**2*(3*v + 1)/7
Let b(j) be the first derivative of -5*j**6/6 - 4*j**5 - 5*j**4 + 32. Factor b(a).
-5*a**3*(a + 2)**2
Let -3*