*6/3 + 4*z**5 - 23*z**4/2 + 8*z**3 + 175. Factor u(a).
2*a**2*(a - 1)**2*(a + 12)
Let q(l) be the third derivative of 1/240*l**6 + 0*l**5 - 15*l**2 + 0 + 1/210*l**7 + 0*l**3 + 0*l**4 + 1/672*l**8 + 0*l. Factor q(x).
x**3*(x + 1)**2/2
Let g(u) be the second derivative of -u**8/20160 - u**7/360 - 49*u**6/720 - 343*u**5/360 - 2*u**4 - 40*u. Let v(i) be the third derivative of g(i). Factor v(x).
-(x + 7)**3/3
Let f(d) = -4*d + 30. Let i be f(4). Let c be 0 + -2 - (-1 + i/(-5)). Solve 9/5*v**2 + c*v**3 + 3/5*v**4 + 3/5*v + 0 = 0 for v.
-1, 0
Solve 2/5*u**3 - 774/5*u**2 + 99846/5*u - 4293378/5 = 0 for u.
129
Let o(y) be the first derivative of y**3/6 + 43*y**2/4 + 21*y + 25. Factor o(w).
(w + 1)*(w + 42)/2
Let m be (9/5)/(-3)*(-5)/(-150)*-10. Factor 0*h - 1/5*h**3 - m*h**2 + 0.
-h**2*(h + 1)/5
Let j(c) be the second derivative of 0*c**5 + 0 + 1/2*c**2 - 1/60*c**6 + 1/4*c**4 - c + 2/3*c**3. Let d(k) be the first derivative of j(k). Factor d(p).
-2*(p - 2)*(p + 1)**2
Let c(i) = -17*i**2 + 457*i + 314. Let w(v) = 69*v**2 - 1829*v - 1258. Let s(x) = -9*c(x) - 2*w(x). Find g such that s(g) = 0.
-2/3, 31
Let k be 17 + 1*(1 + 0 - 3). Let u be (145/(-135) + 1)*k/(-1). Solve u*q**2 - 4/9*q - 2/3 = 0 for q.
-3/5, 1
Suppose 7*z = 2*p + 4*z + 51, 2*z = -2*p - 46. Let i be p/40 - (-3 + 1). Find d such that -3/5*d**4 - 4/5 + 9/5*d**5 + 8/5*d + i*d**2 - 17/5*d**3 = 0.
-1, 2/3, 1
Let n(o) = -o + 8. Let u be n(9). Let q be (-40)/35*u - 0 - 1. Let -1/7*d**3 + 1/7*d**2 - 1/7 + q*d = 0. Calculate d.
-1, 1
Let m(w) be the second derivative of -w**5/105 + 2*w**4/21 - 2*w**3/7 + 4*w**2 + 4*w. Let n(p) be the first derivative of m(p). Solve n(l) = 0.
1, 3
Let s be (-1 - -10) + -2 - 4. Solve -2*b**5 - 3*b**3 + s*b**5 - 2*b - b**5 + 5*b**2 - b**4 + b**5 = 0 for b.
-2, 0, 1
Let u be 3/4*5/((-30)/(-24)). Suppose 6*c - c - 10 = 0. Factor -u*j**c - 9*j + 21*j + 40 - 49.
-3*(j - 3)*(j - 1)
Suppose 4*v - 8 = -h, 2*h + 9 = 1. Suppose -2*x**2 - v*x + 3*x + x**3 - 360*x**4 + 361*x**4 = 0. What is x?
-2, 0, 1
Let d = 6 + -1. Let s(r) = -r**3 + 6*r**2 - 6*r + 7. Let z be s(d). Solve -1 + 4 + 1 - 10*g**z + 4 - 16*g = 0 for g.
-2, 2/5
Let t be ((-5291)/(-22))/37 - (-14)/(-4). Suppose 0 = 5*c - 11 + 1. Let c*b**2 + b**t + 1/6*b**4 + 0 + 4/3*b = 0. What is b?
-2, 0
Let d(b) = 5*b**3 + 21*b**2 + 141*b + 119. Let j(p) = -2*p**3 + p**2 + p + 1. Let y(i) = -3*d(i) - 6*j(i). Factor y(w).
-3*(w + 1)*(w + 11)**2
Let k be ((-4)/8)/(4/(-48)). Suppose k = 3*m - 6. Factor -4*w**4 + 7*w**2 + m*w**3 - 3*w**2 - 2*w - 2*w.
-4*w*(w - 1)**2*(w + 1)
Let c be (4/(-32))/(10/(-40)). Factor c - 9/2*i**4 + i**3 + 4*i**2 - 3*i + 2*i**5.
(i - 1)**3*(i + 1)*(4*i - 1)/2
Let b(z) be the first derivative of -z**3/9 - 2*z**2/3 + 5*z/3 + 161. Factor b(d).
-(d - 1)*(d + 5)/3
Suppose -10/3*w**2 - 2*w + 2*w**3 + 8/3 + 2/3*w**4 = 0. What is w?
-4, -1, 1
Let p(v) be the first derivative of -v**6/270 - v**5/60 - v**4/36 - 2*v**3/3 + 9. Let y(r) be the third derivative of p(r). Factor y(s).
-2*(s + 1)*(2*s + 1)/3
Suppose 0 = -v - 0*v + 2. Let g be v - (-3 + 2 + 1). Determine p so that 0 + p**2 - p**3 + g*p + 0 + 0 = 0.
-1, 0, 2
Factor -9/2*r**4 + 15*r**3 + 1/2*r**5 - 23*r**2 - 9/2 + 33/2*r.
(r - 3)**2*(r - 1)**3/2
Suppose 3*x**3 - 4*x**3 + 64*x**2 - 4*x**3 + 135 - 19*x**2 - 135*x = 0. Calculate x.
3
Factor -14/5*o - 18/5*o**2 - 2/5*o**4 - 2*o**3 - 4/5.
-2*(o + 1)**3*(o + 2)/5
Let q(u) = u**3 + u**2. Suppose 8 = 2*z, -z = 4*r - 5*z. Let t(s) = 11*s**3 - 7*s**2 - 15*s + 3. Let i(b) = r*q(b) + t(b). Factor i(p).
3*(p - 1)*(p + 1)*(5*p - 1)
Factor 2/9*v**2 + 22/3*v + 64/9.
2*(v + 1)*(v + 32)/9
Suppose 82 = 68*k - 54. Let c(b) be the first derivative of -2/3*b**3 - 2*b**k + 1/2*b**4 + 0*b + 5. Determine y so that c(y) = 0.
-1, 0, 2
Suppose -4*c + 4 = w - 5*w, 2*w = -2*c + 2. Suppose w = -f - 4*f - 15, 0 = 2*i + 5*f + 15. Factor 2/9*u**4 + 2/9 + i*u**3 + 0*u - 4/9*u**2.
2*(u - 1)**2*(u + 1)**2/9
Suppose -5*o - 5*i + 10 = 0, 4 - 6 = 2*i. Let z(p) = p**2 - 21*p + 24. Let q be z(20). Factor -6*v**3 - 3*v**q + 4*v**2 + 14*v**o + 7*v**4.
4*v**2*(v + 1)**2
Solve -20 + 319/8*s - 79/4*s**2 - 1/8*s**3 = 0.
-160, 1
Let j(d) be the second derivative of d**4/102 - 31*d**3/51 + 30*d**2/17 + d + 155. Suppose j(b) = 0. What is b?
1, 30
Let n(m) be the first derivative of m**5/30 + m**4/8 - 5*m**3/18 - m**2/4 + 2*m/3 - 24. Solve n(a) = 0 for a.
-4, -1, 1
Let x(z) be the second derivative of -2*z**7/105 - 8*z**6/25 + 43*z**5/25 - 2*z**4 + 300*z. What is l in x(l) = 0?
-15, 0, 1, 2
Suppose -6 + 0 = -2*l. Suppose 6 = l*r - 6. Find a such that -12*a**2 + 13*a - r*a**4 - 23*a + 10*a - 16*a**3 = 0.
-3, -1, 0
Suppose -5*v - 6 = 3*i, 5*v + 2*i = 3*v - 4. Let x be (1 + v)*2 + 2. Determine n, given that -32/5*n**3 - 4/5*n**x - 88/5*n**2 - 36/5 - 96/5*n = 0.
-3, -1
Let v(g) be the first derivative of 2*g**5/75 - 2*g**4/15 + 4*g**3/15 - 4*g**2/15 + 2*g/15 + 28. Let v(a) = 0. Calculate a.
1
Let x(f) = f**3 + 2*f**2 - 3*f + 2. Let r be x(-3). Suppose 2*b + 18 = 22. Factor h**b + 3*h - h**2 + r*h**2 + h**2.
3*h*(h + 1)
Let l(h) be the second derivative of h**3/2 - 5*h**2/2 + 22*h. Let x be l(3). Find g, given that 26/9*g**x + 0 - 8/9*g**5 - 2/9*g + 14/9*g**2 - 10/3*g**3 = 0.
0, 1/4, 1
Suppose 3*p - 3*h = -9, -8*p + h = -4*p + 21. Let s = p + 13. Factor 3*i + 1 - s - 6*i - 5*i - 2*i**2.
-2*(i + 1)*(i + 3)
Factor 22/7*t - 2/7*t**2 - 36/7.
-2*(t - 9)*(t - 2)/7
Suppose -5*s = c - 18, -2*c - 2*c + 4 = 3*s. Find i such that 9*i + 6*i + 3*i**4 - 15*i**3 - 3*i**s + 10 - 5*i**4 - 5*i**2 = 0.
-2, -1, 1
Let v(a) be the first derivative of 4*a**3 - 45*a**2/2 + 27*a - 158. Factor v(s).
3*(s - 3)*(4*s - 3)
Let x(l) be the third derivative of -24*l**2 + 0*l**4 - 1/10*l**5 + 0 + 1/60*l**6 + 0*l + 4/3*l**3. Factor x(h).
2*(h - 2)**2*(h + 1)
Let b(d) be the third derivative of -d**5/30 - 14*d**4/3 - 784*d**3/3 - 73*d**2. Factor b(u).
-2*(u + 28)**2
Let q(u) be the second derivative of u**5/4 - 35*u**4/12 + 25*u**3/2 - 45*u**2/2 + 233*u. Solve q(c) = 0 for c.
1, 3
Let j be ((-4)/3)/(2/(-3)). Suppose j*v - 9 = -v. Solve 1 + 4 - 6*o**4 - 5 + 3*o**v + 3*o**5 = 0 for o.
0, 1
Let n(g) be the first derivative of -g**6/6 + g**5 + g**4/4 - 5*g**3/3 + 183. Let n(z) = 0. Calculate z.
-1, 0, 1, 5
Let k(f) = -14*f**4 - 26*f**3 - 6*f**2 + 10*f + 4. Let q(m) = m**4 - m**2 + 2*m + 2. Let v(x) = 2*k(x) - 4*q(x). Factor v(b).
-4*b*(b + 1)**2*(8*b - 3)
Let q be (-6 + 61)*(-6)/(-10). Suppose -q = -3*k - 12. Factor k*x**5 - 12*x + 4*x**3 - 9*x**4 - 14*x**4 + 5*x**4 + x**5 + 2 + 16*x**2.
2*(x - 1)**3*(x + 1)*(4*x - 1)
Suppose -l = 5*l - 10*l. Suppose -2*m + 4*h = -32 + 6, -h + 1 = m. Find t, given that t**4 + l*t**5 + 2*t**5 - t**m = 0.
-1, 0
Suppose -3 = -2*f + f. Let -3*n**2 - 3*n**3 + f*n - 65*n**4 - 59*n**4 + 127*n**4 = 0. Calculate n.
-1, 0, 1
Let t be (-6)/4 - ((-228)/56 - -2). Factor -2/7*i**2 + t*i - 2/7.
-2*(i - 1)**2/7
Let o(d) be the third derivative of d**7/735 + d**6/140 - d**5/105 - d**4/7 - 8*d**3/21 - 14*d**2. Factor o(y).
2*(y - 2)*(y + 1)*(y + 2)**2/7
Factor 4*h**3 + 409 - 821 + 26*h**2 + 12*h + 412.
2*h*(h + 6)*(2*h + 1)
Let v(u) be the third derivative of -3*u**2 + 3/40*u**6 + 0 - 1/112*u**8 + 0*u**7 + 1/10*u**5 + 0*u**4 + 0*u**3 + 7*u. Let v(m) = 0. What is m?
-1, 0, 2
Let s(x) = -85*x**2 - 2315*x + 510. Let o(b) = -43*b**2 - 1158*b + 256. Let c(v) = 5*o(v) - 2*s(v). Let c(t) = 0. Calculate t.
-26, 2/9
Let w(l) = -73*l**2 - 28*l - 4. Let f(s) = s**2 + s. Suppose 5*t + 5*b = 125, 0 = b + 4*b - 5. Let z(m) = t*f(m) - 3*w(m). Suppose z(y) = 0. Calculate y.
-2/9
Let 0 - 36/11*l + 2/11*l**2 = 0. What is l?
0, 18
Let u(v) = -v**3 - 10*v**2 - 11*v - 10. Let b be u(-9). Factor b*d**4 - 8*d**2 + 4*d**5 - 3*d**5 - 4*d**3 + 3*d**5 + 0*d**2.
4*d**2*(d - 1)*(d + 1)*(d + 2)
Let m be (5/(-4))/(1/4). Let y = -3 - m. What is d in 4*d + 0 + 1 - 3*d**y - 2 = 0?
1/3, 1
Let w(f) be the third derivative of 5*f**8/336 + 4*f**7/21 + 5*f**6/8 - 2*f**5/3 - 10*f**4/3 + 67*f**2. Find m, given that w(m) = 0.
-4, -1, 0, 1
Factor -2/3*c**2 + 0 + 2/15*c**4 - 4/15*c - 2/5*c**3 + 2/15*c**5.
2*c*(c - 2)*(c + 1)**3/15
Let o be -1*(-2)/(19 + -1)*1. Let v(l) be the second derivative of -1/54*l**4 + 3*l + o*l**2 + 0*l**3 + 0. Suppose v(y) = 0. What is y?
-1, 1
Let t = 89 + -72. Let z(k) = -k**3 + 16*k**2 + 17*k + 2