) be the second derivative of -l**6/75 - 4*l**5/25 - 4*l**4/5 - 32*l**3/15 - 16*l**2/5 - 7*l. Suppose i(r) = 0. Calculate r.
-2
Let b(z) be the second derivative of 1/24*z**4 + 1/40*z**5 - 1/60*z**6 + 8*z + 0*z**2 + 0 - 1/12*z**3. Suppose b(u) = 0. Calculate u.
-1, 0, 1
Let z = 7 - 4. Let l(v) be the first derivative of -1/4*v**4 - z - 2*v**2 + 0*v + 4/3*v**3. Solve l(x) = 0 for x.
0, 2
Let d(v) be the second derivative of v**5/50 - v**4/10 + 4*v**2/5 + 27*v. Find j, given that d(j) = 0.
-1, 2
Let o(q) be the first derivative of -1 + 0*q**4 + 0*q**2 + q**3 - 3/5*q**5 + 0*q. Solve o(s) = 0 for s.
-1, 0, 1
Let t = -3 - -6. Suppose 3*s - 4 = -y, -3*s + 3*y - 2 = -7*s. Factor -4*h**2 + h**t + s*h**3 - h**3.
2*h**2*(h - 2)
Let y(t) be the first derivative of 1/2*t**2 + 1/6*t**3 + 1/2*t - 2. Solve y(x) = 0 for x.
-1
Let k = -62 + 137. Let f = 527/7 - k. Factor -4/7*o**2 + f + 2/7*o**4 + 0*o**3 + 0*o.
2*(o - 1)**2*(o + 1)**2/7
Let h(j) = -j**2 - 7*j - 4. Let g(t) be the first derivative of 2*t**3/3 + 15*t**2/2 + 8*t + 7. Let k(i) = -3*g(i) - 7*h(i). Factor k(m).
(m + 2)**2
Let j(n) be the second derivative of n**5/100 + n**4/20 - n**3/30 - 3*n**2/10 - 4*n. Factor j(d).
(d - 1)*(d + 1)*(d + 3)/5
Suppose -6*h = -2*h - 4*c, 4*h = 5*c - 3. Determine q so that -h*q - 3*q**2 + 4 + q**2 + q = 0.
-2, 1
Let x(h) be the first derivative of 0*h + 2/15*h**5 - 2/9*h**3 - 1/12*h**4 + 1/6*h**2 + 3. Factor x(j).
j*(j - 1)*(j + 1)*(2*j - 1)/3
Suppose -4*z**3 - 4*z - 2*z**4 - 2*z**2 + 4*z + 0*z = 0. Calculate z.
-1, 0
Let k be ((-4)/(-6))/(1/3). Factor 4*f**2 - 3*f**2 + 0*f**2 + 17*f**k - 24*f + 8.
2*(3*f - 2)**2
Let x(d) be the second derivative of -7/12*d**4 + 2*d**2 + 0 + 2*d**3 - 4*d. Find g, given that x(g) = 0.
-2/7, 2
Let j be 10 + (-1 - 0) + -3. Factor k**2 - 3 - k**2 - 3*k**2 + j*k**2.
3*(k - 1)*(k + 1)
Let h(l) be the second derivative of 5*l**7/42 + l**6 + 3*l**5/2 - 25*l**4/3 - 65*l**3/2 - 45*l**2 + 32*l. Determine d so that h(d) = 0.
-3, -1, 2
Let c(t) = 17*t**3 + t**2 - t - 1. Let y be c(-1). Let v be y/(-40) + 4/(-10). Factor -1/3*g**2 - 1/3*g + v.
-g*(g + 1)/3
Let l(n) be the first derivative of 2*n**3/3 - 4*n**2 + 8*n - 2. Factor l(u).
2*(u - 2)**2
Let o(x) be the first derivative of 2*x**5/55 + x**4/11 + 2*x**3/33 + 12. Find b such that o(b) = 0.
-1, 0
Let a = 19/9 - 23/45. Suppose -2/5*u + 8/5*u**4 + 8/5*u**5 - 6/5*u**3 + 0 - a*u**2 = 0. Calculate u.
-1, -1/2, 0, 1
What is o in 23*o**2 - 59 - 8*o**2 + 123 - 40*o**3 + 4*o**4 - 160*o + 117*o**2 = 0?
1, 4
Suppose 3*k = 2*x - 14 + 36, -4*k + 26 = -x. Factor 4*z**4 - k*z**3 - z**4 + 0*z**4 + 4*z**2 - z**2.
3*z**2*(z - 1)**2
Factor -5 + 5/2*t**2 - 5/2*t.
5*(t - 2)*(t + 1)/2
Let z(m) = -m**2 - 5*m - 1. Let y be 18/(-4)*22/(-33). Let u(g) = -g. Let j(p) = y*u(p) - z(p). Factor j(s).
(s + 1)**2
Find p such that p**4 + p - 1/3*p**5 - 1/3 - 2/3*p**2 - 2/3*p**3 = 0.
-1, 1
Let u be 57/63 - (-40)/(-70). Factor 0*n - u + 1/3*n**2.
(n - 1)*(n + 1)/3
Let n be 76/(-57) + 14/9. Factor n*h**2 + 0*h - 8/9.
2*(h - 2)*(h + 2)/9
Suppose -20 = -2*v - 2*v. Factor -3*b**3 - 4*b**4 - 2*b**5 + v*b**5 - 3*b**2 + 7*b**4 + 0*b**2.
3*b**2*(b - 1)*(b + 1)**2
Let c be 59/39 + -1 - (-108)/702. Let j(q) be the first derivative of -2*q**2 + 0*q - 3 - c*q**3. Factor j(s).
-2*s*(s + 2)
Let g = 32 - 23. Solve -6*s + 5*s**2 + 3*s + 3 + 13*s**2 - 12*s**3 - g*s + 3*s**4 = 0 for s.
1
Solve 4/7*r + 0 - 2/7*r**2 = 0.
0, 2
Let q(v) be the first derivative of v**4/20 + 2*v**3/15 - 3*v**2/10 + 18. Factor q(f).
f*(f - 1)*(f + 3)/5
Let x(b) = 4*b**4 - 8*b**3 - 9*b**2 + 13*b - 13. Let l(w) = w**4 - 2*w**3 - 2*w**2 + 3*w - 3. Let m(z) = 26*l(z) - 6*x(z). Determine p so that m(p) = 0.
0, 1
Let v = 21 + -35. Let w be ((-4)/v)/((-72)/(-56)). Factor 2/9*f + 0 + w*f**2.
2*f*(f + 1)/9
Factor -30*j**2 + 34*j**2 + 2*j + 14*j + 12.
4*(j + 1)*(j + 3)
Let a(l) be the second derivative of 0 - l + 1/24*l**4 + 9/4*l**2 + 1/2*l**3. Factor a(r).
(r + 3)**2/2
Let k(c) = c**2 - 18*c + 4. Let w be k(18). Let n(u) be the second derivative of 1/4*u**2 - 1/24*u**w + 2*u + 0 + 0*u**3. Factor n(o).
-(o - 1)*(o + 1)/2
Suppose 196/3 + 20*a**2 - 4/3*a**3 - 84*a = 0. Calculate a.
1, 7
Let q(y) be the third derivative of -y**5/210 - y**4/42 + 3*y**2. Let q(r) = 0. What is r?
-2, 0
Let g(a) be the third derivative of -a**6/24 - a**5/3 + 5*a**4/24 + 10*a**3/3 - 20*a**2. Factor g(f).
-5*(f - 1)*(f + 1)*(f + 4)
Let a be 119/35 + (-3)/1. Find t, given that -8/5*t**4 - 8/5*t + 8/5*t**3 + a + 6/5*t**2 = 0.
-1, 1/2, 1
Let j(n) = n**3 - 3*n**2 + 2*n - 2. Suppose 0 = t + 3*g + 6, -4*t + 2*g + 3*g = -27. Let r be j(t). Let 0 + 0*v + 0*v**2 + 2/3*v**3 + 1/3*v**r = 0. What is v?
-2, 0
Let i = 11 - 7. Suppose -4 = -2*l + i. Determine q so that -q**2 - 2 + 6 + 7*q**2 - l*q**2 + 6*q = 0.
-2, -1
Let n(s) be the third derivative of s**5/60 + s**4/8 - s**3/3 + s**2. Let f(v) = -2*v**2 - 5*v + 4. Let b(z) = -4*f(z) - 7*n(z). Solve b(q) = 0.
-1, 2
Suppose -1/4*k - 3/4*k**3 - 1/4*k**4 + 0 - 3/4*k**2 = 0. Calculate k.
-1, 0
Let z be ((-3 + 3)/3)/1. Let 4/9*u**2 - 14/9*u**3 + z*u + 0 = 0. What is u?
0, 2/7
Let i(r) = -20*r**3 + 18*r**2 - 8*r - 18. Let f(l) = 7*l**3 - 6*l**2 + 3*l + 6. Let d(b) = 14*f(b) + 5*i(b). Factor d(h).
-2*(h - 3)*(h - 1)*(h + 1)
Suppose -4*v + 32 = -0*v. Suppose 16 = 3*c - 4*i, 4*i - 2*i + v = -3*c. Factor -3 + c*m - m - 2*m + 3*m**2 + 3*m**3.
3*(m - 1)*(m + 1)**2
Let i(x) be the third derivative of 0 - 1/48*x**4 + 0*x**5 + 0*x + 1/3*x**3 + 2*x**2 + 1/720*x**6. Let a(z) be the first derivative of i(z). Factor a(u).
(u - 1)*(u + 1)/2
Let j(c) = 4*c**4 + c**3 - 7*c**2 + 2*c + 3. Let g(o) = o**4 + o**3 - o**2. Let q(w) = 3*g(w) - j(w). Find t such that q(t) = 0.
-1, 1, 3
Let n be (-61)/2 - (-2)/(-4). Let z = 33 + n. Suppose 0 + 4/7*x**z + 2/7*x**3 + 0*x = 0. Calculate x.
-2, 0
Let m(h) be the third derivative of 0 + 1/240*h**5 - 4*h**2 - 1/24*h**3 + 0*h**4 + 0*h. Factor m(j).
(j - 1)*(j + 1)/4
Let k be (12/8)/((-6)/16). Let q(y) = -y - 1. Let n be q(k). What is v in -3*v**2 - 2*v + v**2 + 2*v**n + 2 + 0*v = 0?
-1, 1
Suppose 0*p + 2*p = 0. Suppose 0*s - 2 = -4*y - s, 2*y + 6 = 3*s. Factor p + 2/3*w**3 + y*w + 2/3*w**2.
2*w**2*(w + 1)/3
Let t(c) be the first derivative of -c**5 + 5*c**4/2 - 5*c**2 + 5*c + 11. Factor t(l).
-5*(l - 1)**3*(l + 1)
Let a(l) = 35*l**2 + 65*l - 20. Let o(w) = w. Let c(h) = -a(h) + 5*o(h). Factor c(b).
-5*(b + 2)*(7*b - 2)
Let z be ((-7)/((-42)/(-12)))/(-1). Factor 0*j**3 + 0*j + 3/2*j**4 - 3/2*j**z + 0.
3*j**2*(j - 1)*(j + 1)/2
Let r(o) be the third derivative of -o**7/630 + o**6/120 - o**5/180 - o**4/24 + o**3/9 + 12*o**2. Factor r(h).
-(h - 2)*(h - 1)**2*(h + 1)/3
Let a(w) be the first derivative of w**4/8 + w**3/6 - 1. Suppose a(s) = 0. What is s?
-1, 0
Let f be -22*1*1/(-2). Suppose 0 = -0*o + o + 3*p - f, 2*o - 4*p + 8 = 0. Factor 3*x**2 + 4*x**o - 5*x**2.
2*x**2
Let x = -17 + 22. Let g = -12 + 20. Suppose 4*b**5 - 2*b + 4*b**2 - 4*b**4 - 5*b**x + g*b**3 - 5*b**5 = 0. What is b?
-1, 0, 1/3, 1
Let a(k) = 13*k + 182. Let x be a(-14). Find h such that 0 + x*h - 2/3*h**4 + 2/3*h**3 + 0*h**2 = 0.
0, 1
Let f = -204 - -614/3. Determine x so that f*x**2 - 2/3*x - 4/3 = 0.
-1, 2
Let x(h) = 2*h - 2. Let u = 2 + 2. Let y be x(u). What is c in -y*c**5 - c**4 + 4*c**2 + 0*c**4 + 6*c**3 - 3*c**4 = 0?
-1, -2/3, 0, 1
Factor 29*k + 4*k**2 + 31*k - 4*k**3 - 60*k.
-4*k**2*(k - 1)
Let i(x) be the second derivative of -x**7/420 + 7*x**6/360 - x**5/30 - 7*x**4/12 + 2*x. Let h(u) be the third derivative of i(u). Factor h(c).
-2*(c - 2)*(3*c - 1)
Let j(u) be the first derivative of -1/22*u**4 + 1/11*u**2 + 3 - 2/33*u**3 + 2/11*u. Factor j(q).
-2*(q - 1)*(q + 1)**2/11
Let b(h) be the third derivative of h**9/1134 + h**8/840 - h**7/840 - h**6/1080 + 5*h**3/6 - 2*h**2. Let i(p) be the first derivative of b(p). Solve i(k) = 0.
-1, -1/4, 0, 1/2
Let p(i) be the second derivative of -1/30*i**4 + 0*i**2 - 2*i - 1/50*i**5 + 0*i**3 + 0. Factor p(u).
-2*u**2*(u + 1)/5
Let r be 34/24 - 70/60. Factor -r*s**3 - 3/4 - 7/4*s - 5/4*s**2.
-(s + 1)**2*(s + 3)/4
Let q(d) be the third derivative of 4*d**2 - 7/40*d**6 - 1/70*d**7 + 0*d + 0*d**3 + 0 - 9/8*d**4 - 3/4*d**5. Solve q(g) = 0.
-3, -1, 0
Let b(w) be the first derivative of -1 + 2/25*w**5 + 0*w + 0*w**3 + 0*w**2 + 1/10*w**4. Factor b(g)