 3*s(l). Solve b(x) = 0.
-1, -2/5, 1
Let g(l) be the second derivative of -l**4/66 - l**3/33 + 2*l**2/11 + l. What is a in g(a) = 0?
-2, 1
Let g = 3 + -1. Let l be (g - 0) + 0/(-1). Solve 5*v**l - 3*v**4 + 2*v**3 - 4 - v**2 - 2*v**5 + 3 = 0 for v.
-1, 1/2, 1
Let p(j) = j**3 - 5*j**2 + 2. Let m(c) = c - 1. Let w be m(6). Let f be p(w). Let -14*s**2 - 11*s**2 - 4*s + 7*s**f - 14*s**3 = 0. Calculate s.
-1, -2/7, 0
Let u = 23 - 21. Factor -10/3*o**3 + 4/3*o**u + 10/3*o - 4/3.
-2*(o - 1)*(o + 1)*(5*o - 2)/3
Let v(x) = 5*x**3 - 17*x**2 + 20*x. Let c(b) = -5*b**3 + 16*b**2 - 20*b. Let r(d) = -3*c(d) - 4*v(d). Suppose r(s) = 0. What is s?
0, 2
Let d(m) be the first derivative of -1/7*m**3 + 0*m**4 - 2*m - 2 - 2/7*m**2 + 1/70*m**5. Let x(l) be the first derivative of d(l). Factor x(f).
2*(f - 2)*(f + 1)**2/7
Determine k so that 22/7*k**2 - 4/7 - 18/7*k = 0.
-2/11, 1
Let y(g) be the second derivative of g**6/40 + 3*g**5/8 + 25*g**4/16 - g. Let y(o) = 0. Calculate o.
-5, 0
Let f(u) be the third derivative of -1/420*u**6 + 0 + 0*u**5 + 0*u + 0*u**3 + 0*u**4 - 2*u**2. Determine r, given that f(r) = 0.
0
Factor 0*m**5 + 18*m**3 - 4*m**5 - 14*m**3 + 0*m**5.
-4*m**3*(m - 1)*(m + 1)
Let u(t) be the first derivative of t**5/20 + 7*t**4/16 + 3*t**3/2 + 5*t**2/2 + 2*t + 42. Determine l so that u(l) = 0.
-2, -1
Suppose -1/5 - 3/10*n - 1/10*n**2 = 0. What is n?
-2, -1
Factor -15/2 - 5/2*d**2 - 25/2*d + 5/2*d**3.
5*(d - 3)*(d + 1)**2/2
Let i be 60/154 - 4/(-22). Find f such that 2/7*f**2 + 2/7 + i*f = 0.
-1
Suppose h = 3*h - 10. Suppose h*c + 2 - 4 = 4*k, 3*c = 4*k - 2. Determine t, given that 2/9 - 4/9*t**k - 2/9*t**5 - 2/9*t + 2/9*t**4 + 4/9*t**3 = 0.
-1, 1
Let i(u) be the first derivative of 0*u + 1/15*u**6 - 4/25*u**5 + 4/5*u**2 - 3/10*u**4 - 2 + 8/15*u**3. Factor i(g).
2*g*(g - 2)**2*(g + 1)**2/5
Let n = 2 - -2. Factor 7*w - 9 + 8 - n*w**2 - 3*w.
-(2*w - 1)**2
Suppose -3 - 3*c**2 - 2 - 9*c - 4 + 3 = 0. Calculate c.
-2, -1
Let d = 28 + -28. Find n such that -2/9*n + 2/9*n**5 + 0 - 4/9*n**2 + 4/9*n**4 + d*n**3 = 0.
-1, 0, 1
Suppose 0 = -3*x - x + 28. What is c in 49*c**4 + x*c**4 - 2*c + 15*c**4 - 28*c**5 - 60*c**3 + 19*c**2 = 0?
0, 1/4, 2/7, 1
Let n = -26 + 48. Factor -5*k**2 + 24*k**4 - 8*k**5 + k**2 + n*k**5 + 6*k**3.
2*k**2*(k + 1)**2*(7*k - 2)
Let x = 42 - 39. Let s(a) be the first derivative of 0*a**x + 0*a**2 - 2/55*a**5 + 2 - 1/33*a**6 + 0*a + 0*a**4. Factor s(f).
-2*f**4*(f + 1)/11
Factor -6*i**3 + 0*i**3 - i**2 - 2*i**4 + i**4 + 0*i**4 + 24*i - 16.
-(i - 1)**2*(i + 4)**2
Let l(k) be the first derivative of -k**6/24 + 3*k**5/16 - 5*k**4/24 + 4*k - 9. Let g(j) be the first derivative of l(j). Find m such that g(m) = 0.
0, 1, 2
Let y(q) be the second derivative of q**7/630 + q**6/240 - q**5/120 + q**4/12 - q. Let w(f) be the third derivative of y(f). Factor w(g).
(g + 1)*(4*g - 1)
Let x(i) be the third derivative of -6*i**2 + 1/2016*i**8 - 1/630*i**7 + 0*i + 0*i**3 + 0*i**4 - 1/720*i**6 + 0 + 1/180*i**5. Solve x(v) = 0.
-1, 0, 1, 2
Suppose 1/2*k**2 + 1/4*k**5 - 1/4*k**3 + 0*k + 0 - 1/2*k**4 = 0. Calculate k.
-1, 0, 1, 2
Suppose 4*g + 5*t = 10, -9*g = -4*g + 3*t - 19. Suppose 0 = 2*i + 3 - g. Suppose -j**4 - j**2 + 0 + 3*j**2 - i + 0*j**4 = 0. What is j?
-1, 1
Let b(k) = k**5 - k**4 + k**3 + k**2 - 1. Let m(h) = -7*h**5 + 7*h**4 - 4*h**3 - 8*h**2 - h + 7. Let x(y) = -30*b(y) - 5*m(y). Factor x(p).
5*(p - 1)**3*(p + 1)**2
Let p(v) = 16*v**2 - 2*v - 1. Let k be p(-1). Suppose -5*l = -k - 8. Find t, given that 23*t**2 - 7*t**2 + 2*t**3 + 7*t**3 - 2 + l*t = 0.
-1, 2/9
Solve -14*b**3 + 10*b**3 + 5*b**2 + 3*b**2 - 8*b + 4*b = 0 for b.
0, 1
Let n be (-40)/6 + 3 + 4. Let l(u) be the first derivative of n*u**3 - 1/4*u**4 + 1/6*u**6 - 1/5*u**5 - 2 + 0*u + 0*u**2. What is r in l(r) = 0?
-1, 0, 1
Let c(m) = m**2 - m + 5. Let o(n) = n**2 - n + 4. Suppose x = 5*g + 34 - 13, -2*x = -2*g - 2. Let i(a) = x*c(a) + 5*o(a). Factor i(j).
j*(j - 1)
Let u(s) be the second derivative of s**7/3 - 61*s**6/15 + 104*s**5/5 - 172*s**4/3 + 272*s**3/3 - 80*s**2 - 2*s - 3. Factor u(w).
2*(w - 2)**4*(7*w - 5)
Let w(s) = -s**2 + s + 32. Let a be w(6). Factor -1/3 + 2/3*j - 1/3*j**a.
-(j - 1)**2/3
Let w(g) = 3*g + 4. Let t be w(-3). Let u = t + 7. Suppose 2*i + i + 1 - 2 - u*i**2 = 0. What is i?
1/2, 1
Let z = 7 - 7. Suppose z*f = -f. Factor 0*w + 0*w**3 + f - 1/4*w**2 + 1/4*w**4.
w**2*(w - 1)*(w + 1)/4
Let s(z) be the third derivative of z**11/1496880 - z**10/340200 + z**9/272160 + z**5/15 - 6*z**2. Let x(g) be the third derivative of s(g). Factor x(m).
2*m**3*(m - 1)**2/9
Determine h so that 1/4*h**3 - 1/4*h**4 - 1/4*h**5 + 0*h + 1/4*h**2 + 0 = 0.
-1, 0, 1
Find f such that -1/2*f + 0 - 1/2*f**2 = 0.
-1, 0
Let o be (4/(-10))/((-3)/40). Factor -4/3*m**3 + 0*m - 4*m**2 + o.
-4*(m - 1)*(m + 2)**2/3
Let m be (-192)/(-30) - 6/15. Let k(f) be the third derivative of 1/60*f**m + f**2 + 1/12*f**4 + 0*f + 0*f**3 + 1/15*f**5 + 0. Solve k(t) = 0 for t.
-1, 0
Let a be (-9)/((-378)/8)*3. Find o such that 0 + 2/7*o**3 - a*o**2 + 0*o = 0.
0, 2
Let r be (-1)/6 - (-1)/6*3. Let j(p) be the third derivative of 8/9*p**3 + p**4 - 3*p**2 + 0*p + 0 + r*p**5 + 7/180*p**6. Factor j(o).
2*(o + 2)**2*(7*o + 2)/3
Suppose 2*m - 173 - 10 = -3*b, -4*b - 232 = -3*m. Determine j, given that j**2 - 84 + m = 0.
0
Let m(c) = -c**4 - c**2 - c. Let l(a) = -a**5 - 5*a**4 + 4*a**3 - 7*a**2 - 8*a + 2. Let i(k) = -l(k) + 5*m(k). Factor i(r).
(r - 1)**3*(r + 1)*(r + 2)
Let y(d) be the third derivative of 1/12*d**4 - 1/6*d**6 + 1/10*d**7 + 0*d - 1/20*d**5 + 0*d**3 - 2*d**2 + 0. Find g such that y(g) = 0.
-1/3, 0, 2/7, 1
Let s(v) = 3*v**3 + 5*v**2 + 5*v - 5. Let u(l) = -l**3 - l**2 - l + 1. Suppose -2*m + w + 26 = 0, 2*w - 17 = -4*m + 27. Let k(x) = m*u(x) + 3*s(x). Factor k(n).
-3*(n - 1)**2*(n + 1)
Suppose -4*b + 10 = -o, 5 = 4*o - 2*b + 3. Solve 0 + 3/4*z**4 - 3/4*z**o + 0*z - 9/4*z**5 + 9/4*z**3 = 0.
-1, 0, 1/3, 1
Let o(x) = x + 2. Let l be o(-1). Let n be -1*l + (-35)/(-21). Factor 0*q + 0 + n*q**2.
2*q**2/3
Let r(u) be the first derivative of 4*u**3/3 + 28*u**2 + 196*u + 23. Determine f so that r(f) = 0.
-7
Let y(k) be the first derivative of -5*k**4/4 - 5*k**3 - 5*k**2 + 53. Factor y(f).
-5*f*(f + 1)*(f + 2)
Let i(j) = -j + 14. Let m be i(7). Let b be m/2 + 2/4. Solve -10*p**2 + b + 1 - 1 - 6*p = 0 for p.
-1, 2/5
Let x be (2 + -5)/(2 - 1). Let f(d) = d**3 + 2*d**2 - 3*d + 4. Let c be f(x). Factor 8*t + t**5 - t**5 + 3*t**5 - 8*t**2 - t**5 - 6*t**3 + c*t**4.
2*t*(t - 1)**2*(t + 2)**2
Let i = 21 + -17. Let d(o) be the third derivative of 1/180*o**5 + 0*o**i + 0 + o**2 + 1/120*o**6 + 0*o**3 + 1/1008*o**8 + 0*o + 1/210*o**7. Factor d(a).
a**2*(a + 1)**3/3
Suppose 3*q + 2 = 5*q. Let p(l) = -16*l**2 - 4*l - 5. Let b(w) = -w + 1. Let g(v) = q*p(v) + 4*b(v). Factor g(j).
-(4*j + 1)**2
Suppose 6*y = 31*y. Let 0*j + 6/7*j**3 + y - 2/7*j**4 - 4/7*j**2 = 0. Calculate j.
0, 1, 2
Let x(h) be the second derivative of -h**6/120 - h**5/12 - h**4/3 - 2*h**3/3 - h**2/2 - h. Let l(f) be the first derivative of x(f). Factor l(s).
-(s + 1)*(s + 2)**2
Factor -18*s + s**3 - 16*s**2 + 28*s - 5*s**3 - 22*s.
-4*s*(s + 1)*(s + 3)
Factor 10*q**3 + 5*q + 10*q**2 + 1 + q**5 + 12*q**4 + 2*q**4 - 9*q**4.
(q + 1)**5
Let q(u) be the second derivative of u**7/98 + u**6/70 - 3*u**5/140 - u**4/28 - u. Factor q(j).
3*j**2*(j - 1)*(j + 1)**2/7
Let p(x) = -2*x**3 + x + 1. Let g be p(-1). Suppose -2*i + 3*m - g*m = -6, 2*i = -5*m + 18. Factor -2/3*d**2 - 2/3*d**3 + 2/3*d**5 + 0 + 0*d + 2/3*d**i.
2*d**2*(d - 1)*(d + 1)**2/3
Suppose 3*g + 16 = 7*g. Let s(i) = -3*i**3 + 6*i**2 - 3*i + 4. Let y(z) = 15*z**3 - 30*z**2 + 15*z - 21. Let q(t) = g*y(t) + 21*s(t). Factor q(m).
-3*m*(m - 1)**2
Let f(x) = x**2 - 9*x + 8. Let z be f(9). Let a = z - 6. Factor -y**3 + 4/3*y**a - 1/3*y + 0.
-y*(y - 1)*(3*y - 1)/3
Let r(h) be the second derivative of 2*h**6/15 - 2*h**5/5 + h**4/3 - 4*h. Suppose r(w) = 0. What is w?
0, 1
Let d be 2 + 3 + 0/(-2). Let r(m) be the third derivative of 0*m + 0 - 1/180*m**d + 0*m**4 + 0*m**3 + 1/360*m**6 - 2*m**2. Factor r(b).
b**2*(b - 1)/3
Let n(b) = b**3 - 3*b**2 - 3*b - 2. Let l be n(4). Factor 24*a + 3*a**4 - 18*a + 4*a**l - 13*a**2.
3*a*(a - 1)**2*(a + 2)
Let y(z) be the first derivative of -z**3/5 + 9*z**2/10 + 12*z/5 - 17. Let y(d) = 0. Calculate