- 4*u + 8. Let r(o) be the first derivative of x(o). Let r(d) = 0. What is d?
-1, 0, 1
Let m be (94/(-45))/((-16)/(-24)). Let j = -9/5 - m. Factor -4/3 - j*t - 1/3*t**2.
-(t + 2)**2/3
Let 0 + 1/3*d**2 + 2*d = 0. What is d?
-6, 0
Let h(x) = -x**2 + x - 2. Let o be h(0). Let l be (1 + o)/((-5)/15). Factor 70*r**l - 37*r**2 + 0 - 11*r**2 - 6*r**3 - 1 + 12*r.
(4*r - 1)**3
Let m = 0 + 16. Let b(d) = 6*d**2 + 0*d**2 - 3*d - 19*d. Let s(h) = -2*h**2 + 7*h. Let n(c) = m*s(c) + 5*b(c). Factor n(p).
-2*p*(p - 1)
Let k(d) = d**3 + d**2 - 1. Let t(u) = u**3 - 6*u**2 - 5. Let f be t(6). Let w(c) = -3*c**4 - c**3 + 5*c**2 + 6*c - 2. Let n(j) = f*k(j) + w(j). Factor n(q).
-3*(q - 1)*(q + 1)**3
Let u(n) = n**5 - n**4 - n**3 - n**2 - 1. Let d(p) = -2 + 3 - 2*p + 6*p**5 - 8*p**4 - 4*p**3 - 5. Let t be 4*1/(1 + 3). Let b(h) = t*d(h) - 4*u(h). Factor b(y).
2*y*(y - 1)**3*(y + 1)
Let i(t) be the second derivative of -1/100*t**5 + 4/5*t**2 + 0 - 1/30*t**4 - 5*t + 2/15*t**3. Find p such that i(p) = 0.
-2, 2
Let r(q) be the first derivative of -q**6/1800 - q**5/200 - q**3/3 - 5. Let a(w) be the third derivative of r(w). Let a(k) = 0. Calculate k.
-3, 0
Let u be ((-18)/(-63))/(5/(-7))*-1. Find z, given that 4/5*z**5 + 16/5*z**3 - 3*z**4 + 0 - u*z - 3/5*z**2 = 0.
-1/4, 0, 1, 2
Suppose 8 + 0 = 5*n - 2*w, -3*n = -4*w - 2. Let v(y) = y**3 - 3*y**2 + 2*y - 2. Let f be v(3). Factor -f - m**2 + n*m + 4*m**2 - m**2.
2*(m - 1)*(m + 2)
Let b(j) = 4*j**5 - 4*j**4 + 8*j**2 - 8*j - 4. Let n(q) = 4*q**5 - 5*q**4 + 8*q**2 - 7*q - 3. Suppose 9 = -0*l + 3*l. Let x(h) = l*b(h) - 4*n(h). Factor x(p).
-4*p*(p - 1)**3*(p + 1)
Let r(u) be the first derivative of -u**5/10 - u**4/4 - u**3/6 + 8. Factor r(y).
-y**2*(y + 1)**2/2
Let j(g) = -2*g**2 + 2*g - 2. Suppose 0 = v + 4*v - 10. Suppose -b = v*b - 18. Let x(k) = -4*k**2 + 3*k - 3. Let f(a) = b*x(a) - 13*j(a). Factor f(n).
2*(n - 2)**2
Suppose 0 = -4*r - 20 + 152. Let c be r/45 + 4/(-12). Factor -c + 8/5*a - 8/5*a**2.
-2*(2*a - 1)**2/5
Let g(a) be the second derivative of a**4/6 - a**3/6 - a**2/2 - 2*a. Let u be g(-1). Factor -u*o**4 - 4*o + o**3 - 1 + 3 + 2*o**3 + o**3.
-2*(o - 1)**3*(o + 1)
Let j(w) be the first derivative of -w**7/105 + w**6/12 - 4*w**5/15 + w**4/3 - w**2/2 - 2. Let p(s) be the second derivative of j(s). Factor p(u).
-2*u*(u - 2)**2*(u - 1)
Let r(z) be the second derivative of 1/100*z**5 + 0*z**4 + 0*z**3 - 8*z + 0 + 0*z**2. Factor r(w).
w**3/5
Let p(x) be the second derivative of -x**7/84 - x**6/10 - 7*x**5/20 - 2*x**4/3 - 3*x**3/4 - x**2/2 + 6*x + 4. Let p(b) = 0. Calculate b.
-2, -1
Let d(t) = -17*t**3 + 82*t**2 - 113*t + 30. Let n(p) = p**3 - p**2 - p. Let m(u) = d(u) + 2*n(u). Suppose m(s) = 0. Calculate s.
1/3, 2, 3
Let x(p) be the third derivative of -p**8/560 + p**7/350 + p**6/200 - p**5/100 - 4*p**2. Factor x(s).
-3*s**2*(s - 1)**2*(s + 1)/5
Let s = 9 + -14. Let v(y) = -2*y - 5. Let o be v(s). Factor a**2 + 3*a**2 - 2 - o*a**2 - 3*a.
-(a + 1)*(a + 2)
Find i such that 32*i**3 - 4*i**4 - 35 + 96*i + 5 - 4*i**2 - 6 - 84*i**2 = 0.
1, 3
Let v(w) be the second derivative of -w**5/90 + w**3/9 - 2*w**2 + w. Let o(a) be the first derivative of v(a). Solve o(g) = 0.
-1, 1
Let y(c) = 3*c**3 - c**2 + 1. Let l be y(1). Suppose -l*k - 6 = -6*k. Let -2/3*d**k + 0*d + 2/3 = 0. Calculate d.
-1, 1
Suppose 1 - 5 = -n. Let s(y) be the first derivative of -8/55*y**5 + 0*y**3 - 1/11*y**6 + 0*y - 1/22*y**n + 0*y**2 + 3. Solve s(j) = 0.
-1, -1/3, 0
Let l(n) be the third derivative of 0*n + 0*n**4 + 1/240*n**6 + 1/120*n**5 + n**2 + 0 + 0*n**3. Factor l(j).
j**2*(j + 1)/2
Suppose -2*o + 6 = -2*c, 0*o = -o + 2*c + 3. Let s(f) be the third derivative of -o*f**2 + 0*f**3 + 0*f - 1/210*f**5 + 0 + 0*f**4. Find y such that s(y) = 0.
0
Let u(d) be the second derivative of 9/20*d**5 + 0*d**2 - 1/10*d**6 + 0*d**4 - 7*d + 0 - 2*d**3. Factor u(m).
-3*m*(m - 2)**2*(m + 1)
Let k be ((-3)/(11 + -2))/21. Let y = k + 22/63. Factor -1/3 - y*l**3 + 1/3*l**2 + 1/3*l.
-(l - 1)**2*(l + 1)/3
Let s(p) be the second derivative of -3*p**4/4 - p**3/3 + 7*p. Factor s(a).
-a*(9*a + 2)
Let b(z) be the third derivative of z**5/180 + z**4/72 - z**3/9 - 9*z**2. Solve b(h) = 0.
-2, 1
Let a(h) = 5*h**4 + 4*h**2 - 7*h + 5. Let w(c) = -c + 3*c**4 + 2 + 2*c**2 - 2*c - c**4. Let k = 22 + -29. Let u(d) = k*w(d) + 3*a(d). Factor u(i).
(i - 1)**2*(i + 1)**2
Suppose 0 = 5*b - m - m - 12, -m = -2*b + 4. Let k be (-6)/(-2)*b/6. Suppose -6/11*t**4 + 2/11 + 6/11*t - 4/11*t**3 + 4/11*t**k - 2/11*t**5 = 0. Calculate t.
-1, 1
Let y(s) be the third derivative of 0 + 0*s + 1/27*s**3 + 1/540*s**6 + 3*s**2 - 1/270*s**5 - 1/108*s**4. Factor y(o).
2*(o - 1)**2*(o + 1)/9
Let z(l) be the third derivative of -2*l**2 + 1/12*l**3 - 5/96*l**4 + 0*l + 0 - 7/240*l**5. Determine h so that z(h) = 0.
-1, 2/7
Let p(g) be the third derivative of -g**6/180 + g**4/12 + 2*g**3/9 + 8*g**2. Factor p(i).
-2*(i - 2)*(i + 1)**2/3
Let p(y) = y**2 - 25*y - 264. Let r be p(33). Factor r - 3/5*m**2 - 6/5*m.
-3*m*(m + 2)/5
Let x(q) be the second derivative of -5*q**4/12 - 5*q**3/2 - 6*q. Let x(j) = 0. What is j?
-3, 0
Let f = 1/130 - -5003/260. Suppose -f*h**2 - 8*h - 1 - 49/4*h**3 = 0. What is h?
-1, -2/7
Suppose -4*c - 2*c**2 - 1/3*c**3 - 8/3 = 0. Calculate c.
-2
Let y(l) = l**3 + 3*l**2 - l - 1. Let m be y(-2). Suppose m*s - 20 = q, -3*s + 2*q + 12 = -q. Factor 0*j**3 - 2*j**3 - 4*j - s*j - 8*j**2.
-2*j*(j + 2)**2
Let m(p) be the third derivative of 8*p**2 - 5/108*p**6 - 1/36*p**4 - 2/27*p**3 + 1/105*p**7 + 0 + 0*p + 7/90*p**5. Factor m(i).
2*(i - 1)**3*(9*i + 2)/9
Let q(c) be the second derivative of -c**8/2016 - c**7/630 + c**5/180 + c**4/144 - c**2 + 5*c. Let d(w) be the first derivative of q(w). Factor d(z).
-z*(z - 1)*(z + 1)**3/6
Let g be -1*(264/30 - 9). Find s such that 0 + g*s**2 - 1/5*s = 0.
0, 1
Factor -1/2*l**4 - 1/2*l**3 + 1/2*l + 0 + 1/2*l**2.
-l*(l - 1)*(l + 1)**2/2
Let d = 5 - -5. Suppose 5*u - d = -5*x, 6 = 3*u - 0. Factor 1/3*f**3 + 0 + x*f**2 - 1/3*f**4 + 0*f - 2/3*f**5.
-f**3*(f + 1)*(2*f - 1)/3
Let a(v) be the first derivative of 2*v**3/15 - 10. Factor a(i).
2*i**2/5
Let f(o) = -o**2 - 2*o + 2. Let a be f(-4). Let n(w) = -3*w**2 + 3*w + 11. Let z(k) = 3*k**2 - 3*k - 12. Let g(x) = a*n(x) - 5*z(x). Let g(d) = 0. Calculate d.
-1, 2
Suppose 2 + 4 = 2*b. Let g = b - 3. Solve -2/5*p**3 + 0*p + g + 0*p**4 + 0*p**2 + 2/5*p**5 = 0.
-1, 0, 1
Let y(i) be the third derivative of -i**7/350 - 7*i**6/200 - 13*i**5/100 + 3*i**4/40 + 9*i**3/5 - 11*i**2 + 1. Solve y(w) = 0.
-3, -2, 1
Let c(n) = 2*n**2 - 6*n - 4. Let v be c(5). Suppose -q - q = -v. Factor -8*y**3 - 3*y**3 + 8*y + 5*y**4 + 3*y**3 - 3*y**4 + 6*y**2 - q.
2*(y - 2)**2*(y - 1)*(y + 1)
Suppose 4*y - 6*y = 16. Let h = -6 - y. Factor -2/7*d**h - 2/7 + 4/7*d.
-2*(d - 1)**2/7
Factor -5*l**2 - l**2 + 9*l**3 - 7*l**3.
2*l**2*(l - 3)
Let b be 18/4 - 2/4. Let o = 6 - b. Suppose 2 - c**o + 4 - 5 = 0. What is c?
-1, 1
Find l, given that -13*l**3 + 8*l**2 + 4*l + 5*l**3 + 4*l**3 - 8 = 0.
-1, 1, 2
Suppose 4*g - 566 = -b - 2*b, -6 = -3*b. Let x be (-42)/g*4/(-3). Solve x*o**2 + 0*o + 0 + 2/5*o**3 = 0 for o.
-1, 0
Factor 2/9*u**2 + 2/9 - 4/9*u.
2*(u - 1)**2/9
Factor -5*h + 15*h - 7*h**2 - 2 - h**2.
-2*(h - 1)*(4*h - 1)
Let c(g) be the first derivative of -12*g**3 + 12*g**2 - 4*g - 17. Suppose c(i) = 0. What is i?
1/3
Let f(x) = 9*x**4 - 4*x**3 - 25*x**2 - 4*x + 16. Let c(h) = -35*h**4 + 15*h**3 + 100*h**2 + 15*h - 65. Let m(l) = 4*c(l) + 15*f(l). Let m(t) = 0. Calculate t.
-2, -1, 1, 2
Let y be 55/(-10) + (-1)/2. Let p be 5*(y/(-25))/3. Factor 0 + 4/5*b + p*b**2.
2*b*(b + 2)/5
Let z = 10/3 + -3. Let j(b) be the second derivative of 1/21*b**7 - 2*b + z*b**4 - b**2 - 1/15*b**6 + 0 + 1/3*b**3 - 1/5*b**5. Factor j(l).
2*(l - 1)**3*(l + 1)**2
Suppose 1024 + 8*t**3 - 1024 - 8*t - 4*t**4 + 4*t**2 = 0. Calculate t.
-1, 0, 1, 2
Let j(y) be the third derivative of -y**7/1260 - y**6/360 + y**5/30 + y**4/8 - 3*y**2. Let z(k) be the second derivative of j(k). Suppose z(l) = 0. Calculate l.
-2, 1
Let q(w) be the second derivative of w**6/720 - w**5/240 - w**4/24 - w**3/2 + w. Let d(b) be the second derivative of q(b). Factor d(l).
(l - 2)*(l + 1)/2
Let k(c) be the first derivative of -4/7*c - 1/28*c**4 - 5/21*c**3 + 5 - 4/7*c**2. Factor k(y).
-(y + 1)*(y + 2)**2/7
Let n(w