rivative of -l**6/30 - l**5/25 + l**4/20 + l**3/15 + 7. Factor w(r).
-r**2*(r - 1)*(r + 1)**2/5
Let y(z) = -4*z. Let f(o) = -5*o. Let p(g) = 5*f(g) - 6*y(g). Let n be p(-4). Determine b, given that -3*b**5 + 4*b**n + b**3 + 0*b + 0*b - 2*b**2 + 0*b**2 = 0.
-2/3, 0, 1
Let k(s) be the third derivative of -s**5/300 + s**4/120 + 2*s**2. Let k(i) = 0. Calculate i.
0, 1
Suppose 4*n - 12 = -0*n. Factor -12*a + a**2 + 12*a + a**n.
a**2*(a + 1)
Let 4/3*n**4 + 5/3 + 15*n**2 - 26/3*n - 28/3*n**3 = 0. Calculate n.
1/2, 1, 5
Let s(y) be the third derivative of -y**7/1050 + y**6/600 + y**5/100 - y**4/120 - y**3/15 - 3*y**2. Factor s(d).
-(d - 2)*(d - 1)*(d + 1)**2/5
Let c(i) be the first derivative of -3*i**5/5 + 3*i**3 + 3*i**2 + 13. Factor c(b).
-3*b*(b - 2)*(b + 1)**2
Let s = 37/390 + 1/195. Let d(v) be the first derivative of -1/5*v**2 + s*v**4 + 2/25*v**5 - 3 - 2/15*v**3 + 0*v. What is o in d(o) = 0?
-1, 0, 1
Let o = -9 + 15. Factor 8*l + o*l - 14*l - 4*l**3.
-4*l**3
Let c(o) be the second derivative of -o**6/360 + o**5/180 - 2*o**2 + 4*o. Let i(s) be the first derivative of c(s). Find w, given that i(w) = 0.
0, 1
Let d(i) = -7*i**2 - 24*i - 17. Let r(p) = -6*p**2 - 24*p - 18. Let y(h) = 3*d(h) - 4*r(h). Factor y(k).
3*(k + 1)*(k + 7)
What is i in -8/7*i**2 + 0*i - 2/7*i**4 + 0 + 8/7*i**3 = 0?
0, 2
Factor 0*l - 3/2 + 3/2*l**2.
3*(l - 1)*(l + 1)/2
Let c(t) be the third derivative of -t**8/2520 - t**7/315 - 7*t**6/900 + t**5/450 + 2*t**4/45 + 4*t**3/45 - 7*t**2. Determine i, given that c(i) = 0.
-2, -1, 1
Let t(c) be the first derivative of -2*c**5/45 + c**4/18 + 4*c**3/27 + 5. Find k such that t(k) = 0.
-1, 0, 2
Let c(o) be the first derivative of 2*o**5/55 + 3*o**4/11 + 26*o**3/33 + 12*o**2/11 + 8*o/11 - 10. Determine x, given that c(x) = 0.
-2, -1
Suppose j = d + 7, 3*j + 5*d + 19 = -0*j. Let a(u) be the first derivative of j + 0*u**4 + 1/3*u**3 - 1/2*u + 0*u**2 - 1/10*u**5. Factor a(z).
-(z - 1)**2*(z + 1)**2/2
Let b(x) be the third derivative of 0*x + 0 + 2*x**2 + 1/100*x**5 + 1/20*x**4 + 0*x**3. Factor b(u).
3*u*(u + 2)/5
Let g(r) be the first derivative of r**3/3 + r**2/2 - r + 1. Let m(l) = -4*l**2 - 3*l + 4. Let s(n) = -6*g(n) - 2*m(n). Find u such that s(u) = 0.
-1, 1
Let c(i) = -i**2 + 8*i + 6. Let p be c(8). Let u = -2 + p. Determine r, given that 0*r + 3*r - 3*r**5 + 2*r**3 + 4*r**4 - 2*r - u*r**2 = 0.
-1, 0, 1/3, 1
Suppose -3*h + h - 5 = -3*d, 4*d - 14 = -h. Let o(a) be the first derivative of 0*a - a**2 + 7/2*a**4 + 3*a**5 - a**3 + h. Factor o(j).
j*(j + 1)*(3*j + 1)*(5*j - 2)
Let j be (-8)/6*54/(-24). Let o be 4/3*(-6)/(-14). What is t in 0 - 2/7*t**2 - 10/7*t**4 - 16/7*t**j + o*t = 0?
-1, 0, 2/5
Let v be (2 - 2 - 2)*-1. Let m be (-9 - -8)/((-2)/4). Let -s + s**m + v*s**2 - 2*s**2 = 0. What is s?
0, 1
Suppose 26 = 2*x - 10. Let n(w) be the first derivative of -3 - 9*w**2 + x*w - 1/6*w**4 + 2*w**3. Solve n(r) = 0 for r.
3
Let j(t) be the second derivative of 0 + 1/2*t**2 - t + 1/6*t**4 + 5/12*t**3 + 1/40*t**5. Let j(f) = 0. What is f?
-2, -1
Let b(r) be the third derivative of -r**6/180 - r**5/60 + r**4/6 + r**3/2 + 2*r**2. Let o(f) be the first derivative of b(f). Find h such that o(h) = 0.
-2, 1
Let l(b) be the third derivative of b**6/480 + b**5/240 - 3*b**4/32 - 3*b**3/8 - 8*b**2. What is z in l(z) = 0?
-3, -1, 3
Factor 25/7*j**2 + 1/7 - 10/7*j.
(5*j - 1)**2/7
Let y(t) be the first derivative of t**3 + 4*t - 2 - 4*t**3 + t**3. Let f(x) = 13*x**2 - 9. Let h(g) = -4*f(g) - 9*y(g). Determine c so that h(c) = 0.
0
Let t(w) be the first derivative of 2/5*w**5 - 7 + 0*w**2 + 0*w + 0*w**3 + 1/5*w**6 + 1/5*w**4. Let t(f) = 0. Calculate f.
-1, -2/3, 0
Let p be 5/25*(1 - -15). Let x be ((-6)/15)/((-1)/5). Factor 6/5*c**4 + 0*c + 0 - 8/5*c**x - p*c**3 + 18/5*c**5.
2*c**2*(c - 1)*(3*c + 2)**2/5
Suppose -7 = l - 5. Let n(y) = -4*y - 5. Let b be n(l). Determine u, given that 1/3*u**b + u + u**2 + 1/3 = 0.
-1
Let h(n) be the second derivative of 7*n**6/10 - 3*n**5/5 + 32*n. Factor h(j).
3*j**3*(7*j - 4)
Suppose 0 = 6*w - 9*w - 15. Let n be (-2)/2 - (w + 2). Factor -4/3*z - 2/3 - 2/3*z**n.
-2*(z + 1)**2/3
Let j(u) be the third derivative of -1/3*u**3 - 2*u**2 + 0*u + 1/1260*u**6 + 0*u**4 + 1/420*u**5 + 0. Let k(i) be the first derivative of j(i). Factor k(n).
2*n*(n + 1)/7
Suppose -2*c - 2 = 2*r, -5*r = -4*r + 3*c + 7. Let o(q) be the second derivative of -1/11*q**3 + 0 - 2/11*q**r - 1/66*q**4 - 4*q. Factor o(s).
-2*(s + 1)*(s + 2)/11
Let j(o) be the third derivative of -o**5/180 - o**4/9 - 8*o**3/9 - 2*o**2. Factor j(c).
-(c + 4)**2/3
Let c(g) be the second derivative of g**5/60 - g**4/18 - g**3/18 + g**2/3 + 2*g. What is a in c(a) = 0?
-1, 1, 2
Let b(m) = -m + 1. Let i(s) = 2*s**2 - 44*s - 2. Let h(u) = -44*b(u) + 2*i(u). Factor h(g).
4*(g - 12)*(g + 1)
Suppose a = 5*q - 2*a - 45, -5*q + 4*a + 45 = 0. Suppose 3*t + q = 6*t. Factor -1/5*p**4 + 1/5*p - 1/5*p**t + 1/5*p**2 + 0.
-p*(p - 1)*(p + 1)**2/5
Let l(p) be the second derivative of 0 + 1/24*p**4 + 1/40*p**5 + 3*p - 1/60*p**6 + 0*p**2 - 1/12*p**3. Solve l(h) = 0.
-1, 0, 1
Let v(o) = o + o**2 - 1 + 0 + 0 + 0. Let z(d) = 4*d**2 - 1. Let w(i) = -3*v(i) + z(i). Factor w(n).
(n - 2)*(n - 1)
Let i = -19 - -21. Factor 29*q - 12*q**3 + 4*q**2 - 8*q + 0*q**2 + 6 + 8*q**i.
-3*(q - 2)*(2*q + 1)**2
Let n(b) be the third derivative of -b**7/630 + b**6/180 - b**5/180 - 5*b**2. Factor n(m).
-m**2*(m - 1)**2/3
Factor 10*l**3 + 6*l - 9*l - 4*l**5 - l - 2*l**3.
-4*l*(l - 1)**2*(l + 1)**2
Suppose 12 = 4*y + 3*p - 54, 0 = 3*y - p - 43. Suppose -3*s + 18 = 3*k, -3*s - k + y = k. Find d such that d**4 + 4*d**s - 3*d**4 + d**4 - 5*d**3 = 0.
-1, 0
Let w(z) be the third derivative of z**5/180 + z**4/12 + z**3/2 - 8*z**2. Find i, given that w(i) = 0.
-3
Let r(m) be the second derivative of m**2 + 2*m - 1/180*m**5 + 0*m**4 + 0*m**3 + 0. Let s(q) be the first derivative of r(q). Factor s(l).
-l**2/3
Let c(j) be the second derivative of 5*j**4/12 + 10*j**3/3 - 30*j**2 - j - 3. Let c(p) = 0. Calculate p.
-6, 2
Let m(t) be the first derivative of -1/9*t**3 - 1/2*t**2 + 0*t + 5/72*t**4 - 1/90*t**5 + 2. Let s(i) be the second derivative of m(i). Solve s(a) = 0 for a.
1/2, 2
Let u(x) = -3*x**2 + 3*x. Let n(v) = 6*v**2 + 6*v + 6. Let c(d) = 5*d**2 + 5*d + 5. Let w(b) = -7*c(b) + 6*n(b). Let l(f) = -u(f) - 6*w(f). Factor l(p).
-3*(p + 1)*(p + 2)
Let q(z) = z**2 + 24*z + 23. Let o be q(-23). Determine y, given that 8/3*y**3 + o + 10/3*y**2 + 2/3*y**4 + 4/3*y = 0.
-2, -1, 0
Let s(v) = -v**4 + 5*v**3 - 11*v**2 - 11*v + 3. Let c(n) = -4*n**3 + 10*n**2 + 10*n - 2. Let d(x) = -3*c(x) - 2*s(x). What is i in d(i) = 0?
-2, -1, 0, 2
Let -2/7*c**4 - 2/7*c**3 + 2/7*c**5 + 2/7*c**2 + 0 + 0*c = 0. What is c?
-1, 0, 1
Let w(q) be the first derivative of 0*q - 1/8*q**4 + 2 - 1/12*q**3 + 0*q**2 + 3/20*q**5. Find t, given that w(t) = 0.
-1/3, 0, 1
Let d(y) = -24*y - 16 - 66*y**2 + 16*y**2 + 5*y**3 - 23*y**3. Let c(j) = j**2 - j + 1. Let x(t) = -8*c(t) - d(t). Solve x(m) = 0.
-1, -2/3
Let l be (2/6)/((-8)/(-16)). Determine x so that 0*x**2 - 1/3*x**4 + 1/3 - 2/3*x + l*x**3 = 0.
-1, 1
Factor 0*y + 2/7*y**2 - 2/7.
2*(y - 1)*(y + 1)/7
Let o(h) be the second derivative of 0 - 1/126*h**7 + 0*h**2 + 1/36*h**4 + 0*h**3 + h - 1/90*h**6 + 1/60*h**5. Factor o(j).
-j**2*(j - 1)*(j + 1)**2/3
Factor -15*p**3 + 96*p**4 + 13*p - 5*p**2 + 10 + 2*p - 101*p**4.
-5*(p - 1)*(p + 1)**2*(p + 2)
Let t(j) be the first derivative of 3*j**5/20 - j - 2. Let i(z) be the first derivative of t(z). Factor i(l).
3*l**3
Find g, given that -2/3 + 8/9*g + 10/9*g**2 - 4/9*g**3 = 0.
-1, 1/2, 3
Suppose 3*r = m + 8 + 13, 2*r - 31 = -5*m. Suppose 4*f + 4*t = -r, -f = f - 4*t - 8. Find v, given that 1/2 + f*v - 1/2*v**2 = 0.
-1, 1
Let y = 103 + -98. Let d(c) be the first derivative of -4 - 1/2*c**4 + 0*c - 1/5*c**y - 1/3*c**3 + 0*c**2. Suppose d(n) = 0. What is n?
-1, 0
Let w = 33/4 - 83/12. Factor 1/3*v**2 + w*v + 4/3.
(v + 2)**2/3
Let c(a) = a**2 - 3. Let k(x) = -2. Let b be (8/(-6))/((-2)/(-3)). Let s(f) = b*c(f) + 3*k(f). Find z such that s(z) = 0.
0
Let f be 16/24 + 8/6. Factor 7*u**2 + 6*u - u**f - 3*u**2 + 3.
3*(u + 1)**2
Let d(o) be the second derivative of 1/24*o**3 - 1/16*o**4 + 2*o + 0*o**2 + 0 - 1/20*o**5. Factor d(h).
-h*(h + 1)*(4*h - 1)/4
Let w(q) = -7 - 69*q**2 + 0 + 7*q