2*h**3 + 5/4*h**5 + 1/2*h**4 + 5/4*h = 0. Calculate h.
-1, -2/5, 1
Let i(l) be the first derivative of -6*l - 3/2*l**4 + 3*l**2 - 6 + 3/2*l**3 + 3/10*l**5. Factor i(v).
3*(v - 2)**2*(v - 1)*(v + 1)/2
Let d = 24 - 24. Factor d*l**2 - 2/7*l**3 + 0*l + 2/7*l**4 + 0.
2*l**3*(l - 1)/7
Suppose -d + 24 = 2*d. Suppose -7 - d = -5*b. Let 0 + 0*o**2 + 2/5*o**b - 2/5*o = 0. Calculate o.
-1, 0, 1
Let t be (0 + -28)/(4/6). Let l be 9/t*(-8)/6. Determine o so that 8/7 + l*o**2 + 8/7*o = 0.
-2
Let t(q) be the first derivative of q**3 + 6*q**2 - 36*q - 22. Find w, given that t(w) = 0.
-6, 2
Let t(r) = r + 7. Let f be t(-3). Let u(a) be the second derivative of 0 + 2/9*a**3 + 1/12*a**5 - 2/3*a**2 + 3*a + 13/36*a**f. Let u(d) = 0. What is d?
-2, -1, 2/5
Let r(q) be the first derivative of 0*q**2 + 0*q**3 + 0*q - 1/10*q**4 - 1. Factor r(p).
-2*p**3/5
Let f(l) be the second derivative of -1/96*l**4 + 0 - 1/8*l**2 - 3*l + 1/16*l**3. Let f(z) = 0. Calculate z.
1, 2
Let b(q) be the first derivative of 2*q**5/15 - 17*q**4/30 + 2*q**3/45 + 17*q**2/15 - 4*q/5 + 8. Let b(k) = 0. What is k?
-1, 2/5, 1, 3
Let a(j) be the third derivative of j**5/450 - j**4/90 + j**3/45 - 8*j**2. What is i in a(i) = 0?
1
Let a be 58/6*7/21. Let o = a + -5/9. Factor 0 - 2/3*r**4 - o*r**2 - 8/3*r**3 + 0*r.
-2*r**2*(r + 2)**2/3
Let o(x) be the third derivative of -x**9/9072 - x**8/2520 + x**6/540 + x**5/360 - x**3 - x**2. Let w(c) be the first derivative of o(c). Factor w(b).
-b*(b - 1)*(b + 1)**3/3
Factor -2/9*x**2 - 32/9 - 16/9*x.
-2*(x + 4)**2/9
Let h(q) be the third derivative of q**2 + 1/28*q**4 + 2/21*q**3 - 1/420*q**6 + 0 + 0*q**5 + 0*q. Find r such that h(r) = 0.
-1, 2
Let w = 12 - 6. Let y = 8 - w. Factor -5*j**y + 2*j**3 - 5*j**2 + 6*j**2.
2*j**2*(j - 2)
Suppose 0 = 4*u - 5*u - 4*p - 2, -2*p = 2*u - 2. Let q be (u/5)/((-24)/(-15)). Factor 1/4*s**2 + 0 - q*s.
s*(s - 1)/4
Let n(h) be the second derivative of -1/30*h**5 - 1/6*h**4 + 4*h + 0 - 1/3*h**2 - 1/3*h**3. Factor n(f).
-2*(f + 1)**3/3
Let o = 7 + -2. Solve 196*f**4 - 69*f**3 - 3*f**2 - 13*f**2 - 21*f**3 - 98*f**o + 8*f = 0 for f.
-2/7, 0, 2/7, 1
Let n(k) be the third derivative of k**7/105 - k**5/30 + 5*k**2. Factor n(q).
2*q**2*(q - 1)*(q + 1)
Suppose 2*m = 5*m - 9. Suppose -4 + 3*t - t**4 - 20*t**3 + 8*t**2 + 11*t - m*t**4 + 14*t**5 - 8*t**3 = 0. What is t?
-1, 2/7, 1
Factor 0*b**2 + 0*b + 3/5*b**3 + 6/5*b**4 + 0 + 3/5*b**5.
3*b**3*(b + 1)**2/5
Let w be (-8)/(-2)*(-40)/(-32). Factor x**2 + 1 - 5*x**3 + x**3 + w*x**3 - x - 2.
(x - 1)*(x + 1)**2
Let w(r) be the first derivative of 1/6*r**3 + 0*r + 0*r**2 + 3/8*r**4 - 3 + 1/5*r**5. Factor w(h).
h**2*(h + 1)*(2*h + 1)/2
Factor 2/7*x**4 + 4/7 - 2/7*x + 2/7*x**3 - 6/7*x**2.
2*(x - 1)**2*(x + 1)*(x + 2)/7
Let f(r) be the first derivative of 0*r**2 - 7/20*r**4 - 2 - 2/15*r**3 + 0*r + 4/25*r**5. Factor f(b).
b**2*(b - 2)*(4*b + 1)/5
Let j = 111 + -108. Determine s so that -5/4*s + 7/4*s**2 - 3/4*s**j + 1/4 = 0.
1/3, 1
Let u(l) = 7*l**2 + 5*l + 5. Let y(s) be the third derivative of s**5/20 + s**4/12 + s**3/3 + s**2. Let b(j) = -2*u(j) + 5*y(j). Factor b(f).
f**2
Let w = 27 - 25. Let h(v) be the first derivative of 1 + 0*v**w + 1/18*v**4 + 4/27*v**3 + 0*v. Suppose h(l) = 0. What is l?
-2, 0
Let t(g) = -6*g**3 - 2*g**2 - 6*g + 5. Let n(r) = 7*r**3 + 2*r**2 + 7*r - 6. Let f(j) = 5*n(j) + 6*t(j). Factor f(q).
-q*(q + 1)**2
Let i(d) be the second derivative of d - 13/2*d**3 - 2*d**4 + 0 + 36/5*d**5 - 3*d**2. Factor i(u).
3*(3*u - 2)*(4*u + 1)**2
Let u = -943/7 - -135. Factor 0 - u*y**2 - 2/7*y.
-2*y*(y + 1)/7
Let w(n) be the first derivative of 14*n**5/55 - 23*n**4/22 + 18*n**3/11 - 13*n**2/11 + 4*n/11 + 3. Suppose w(h) = 0. Calculate h.
2/7, 1
Let t = 205/58 + -1/29. Solve -x**2 + 1/2 - t*x**4 + x**5 + 4*x**3 - x = 0.
-1/2, 1
Factor 0*y + 0 + 4/7*y**2.
4*y**2/7
Let y(n) be the third derivative of 0 + 0*n + 0*n**3 + 0*n**4 - 1/120*n**6 + 1/1008*n**8 + 0*n**7 - 1/90*n**5 - n**2. Determine l so that y(l) = 0.
-1, 0, 2
Let d be 1/3 - 10/(-6). Let s = 1 + d. Factor y**5 - 4*y**4 + 0*y**s - y**2 + y**4 - y**3 + 4*y**4.
y**2*(y - 1)*(y + 1)**2
Let h be 1/33*-97 + 3. Let k(p) be the first derivative of 0*p + 1/22*p**4 - 1/11*p**2 + h*p**3 - 3 - 2/55*p**5. Solve k(x) = 0 for x.
-1, 0, 1
Let w = 5 - -5. Factor 20*r**3 - 2 - 20*r**2 + 9*r + r - 1 + 1 - w*r**4 + 2*r**5.
2*(r - 1)**5
Let w(j) be the second derivative of 0 - 1/20*j**5 - 1/150*j**6 + 2/15*j**3 - 1/10*j**4 + 4/5*j**2 - 8*j. What is l in w(l) = 0?
-2, 1
Let t(l) be the third derivative of 0 + 0*l + 7/120*l**4 - 7/600*l**6 - 6*l**2 - 1/150*l**5 + 1/15*l**3. Factor t(u).
-(u - 1)*(u + 1)*(7*u + 2)/5
Let p(l) be the first derivative of -l**6/360 + l**5/120 - l**3 - 2. Let n(h) be the third derivative of p(h). What is o in n(o) = 0?
0, 1
Suppose 0*p - 4*p + 20 = 0. Factor -24*k + 15*k**3 - 5*k**4 + 12 + 0*k**5 - 4*k**p + 3*k**2 + 2*k**4 + k**5.
-3*(k - 1)**3*(k + 2)**2
Let l = 0 - -2. Suppose -2*f + 3*b = -11, 0 = 3*f + f + l*b - 14. Suppose -d**4 + 0 + 4*d**3 - 6*d**2 + 0*d**4 + 0*d - 1 + f*d = 0. Calculate d.
1
Suppose 0*u + 24 = 2*u + 5*y, -5*u + 3*y = 2. Let z(g) be the first derivative of 1/12*g**3 + u + 1/16*g**4 - 1/8*g**2 - 1/4*g. Factor z(n).
(n - 1)*(n + 1)**2/4
Let f be ((-1)/(-3))/((-1)/(-15)). Solve 7*s**f - s**4 - 11*s**5 + 5*s**5 = 0.
0, 1
Let g(j) = -3*j**4 + 28*j**3 - 7*j**2 - 2*j - 9. Let x(i) = -i**3 - i**2 - 2*i + 1. Let a(b) = -4*g(b) - 36*x(b). Factor a(d).
4*d*(d - 5)*(d - 2)*(3*d + 2)
Let l be (6/(-12))/(15/4 + -4). Let -8/11 + 10/11*x**l + 16/11*x = 0. Calculate x.
-2, 2/5
Let n be 1*-2 - (-70)/14. Let d(s) be the first derivative of -1/6*s**4 + 0*s**n + 0*s + 4/15*s**5 - 1/9*s**6 + 0*s**2 + 1. Find l such that d(l) = 0.
0, 1
Suppose -4*d - 4 + 9*d**4 - 20*d**4 + 9*d**2 + d**3 + 9*d**4 = 0. What is d?
-2, -1/2, 1, 2
Factor 2 + 2/3*x**2 - 8/3*x.
2*(x - 3)*(x - 1)/3
Let k be (35/(-14) + 2)*(-3 + 3). Suppose -2/7*a**2 + k + 2/7*a = 0. Calculate a.
0, 1
Let m = -10 - -12. Solve j + m*j - j**3 - 5*j + 3*j = 0 for j.
-1, 0, 1
Let q(v) be the first derivative of -v**3/3 + 7*v**2/2 + 4*v - 3. Let y be q(7). Determine r, given that 2*r**y + 0*r**2 + 2*r**3 - 2*r + 0*r**2 - 2*r**2 = 0.
-1, 0, 1
Suppose 0*i = -i + 4. Suppose 0 = 3*v - 2*f - 3 + 7, 2*v - 24 = -i*f. Factor d**2 + 4*d + d**v - 4*d**2 - 2.
-2*(d - 1)**2
Let u(z) be the third derivative of z**2 + 1/300*z**6 + 0 + 0*z**4 + 1/150*z**5 + 0*z + 0*z**3. Factor u(i).
2*i**2*(i + 1)/5
Let c(b) be the first derivative of -b**5 + 15*b**4/4 - 5*b**3 + 5*b**2/2 - 2. What is j in c(j) = 0?
0, 1
Let a(f) = f**3 + 6*f**2 + 3*f - 7. Let h be a(-5). Let s(g) = 8*g**2 + 2*g. Let i(k) = -8*k**2 - 2*k. Let c(m) = h*i(m) + 4*s(m). Factor c(j).
2*j*(4*j + 1)
Let p = 1 + -1. Let l(k) be the third derivative of 1/30*k**5 + 1/120*k**6 + p*k + 3*k**2 + 0*k**4 + 0 + 0*k**3. Determine f, given that l(f) = 0.
-2, 0
Let y be (0/(-12 + 7))/(-1). Determine h, given that -3/5*h**4 + y - 6/5*h**3 + 6/5*h + 3/5*h**2 = 0.
-2, -1, 0, 1
Let c(v) be the second derivative of 0*v**2 - 3*v + 2/75*v**6 - 1/15*v**4 - 1/15*v**3 + 1/105*v**7 + 0 + 0*v**5. Find a, given that c(a) = 0.
-1, 0, 1
Let u(s) = 9*s**3 - s**2 - 10*s + 17. Let g(z) = 3*z**3 - 3*z + 6. Let o(x) = 17*g(x) - 6*u(x). Let o(p) = 0. Calculate p.
-1, 0, 3
Suppose -2*s + 3*s = 3. Let t(p) be the first derivative of -1/3*p**2 + 3 + 1/3*p + 1/9*p**s. Factor t(b).
(b - 1)**2/3
Let l(c) be the second derivative of -c**6/30 + c**5/20 + c**4/2 - 2*c**3/3 - 4*c**2 + 9*c. Factor l(w).
-(w - 2)**2*(w + 1)*(w + 2)
Let o(h) be the third derivative of h**8/23520 - h**6/2520 + h**4/24 + 5*h**2. Let w(f) be the second derivative of o(f). Let w(a) = 0. What is a?
-1, 0, 1
Let j = 11/54 - -8/27. Let l(v) be the first derivative of -3/2*v**3 + 0*v - 1 - j*v**2. Solve l(m) = 0 for m.
-2/9, 0
Factor -1/2*k**2 + 3*k + 7/2.
-(k - 7)*(k + 1)/2
Let r(l) be the first derivative of l**7/1680 - l**6/720 - l**3 - 1. Let u(d) be the third derivative of r(d). Solve u(x) = 0 for x.
0, 1
Let y = -11 - -26. Suppose -w = 2*w - y. Factor k**2 + 5*k - w*k.
k**2
Let r = 2/11 - -5/33. Let n(t) be the first derivative of -r*t**3 + 1 - t - t**2. Solve n(u) = 0 for u.
-1
Let d(v) = -27*v**3 - 18*v**2 - 27*v - 12. Let q(b) = 7*b - 2. Let s be q(2). Let u(p) = -11*p**3 - 7*p**2 - 11