derivative of f**8/6720 - f**6/720 + f**4/12 + f. Let p(l) be the third derivative of i(l). Determine m, given that p(m) = 0.
-1, 0, 1
Let v(b) be the first derivative of b**4/26 + 10*b**3/39 + 25. Let v(s) = 0. What is s?
-5, 0
Let j(m) = -4*m**2 + 4*m - 7. Let g(l) = 2*l**2 - 2*l + 4. Let s(i) = 7*g(i) + 4*j(i). Factor s(x).
-2*x*(x - 1)
Let r = -201 + 205. Factor 2/5*j**3 - 2/5*j**r + 0*j**2 + 0 + 0*j.
-2*j**3*(j - 1)/5
Let f(l) be the second derivative of -l**9/30240 - l**4/12 + 5*l. Let u(t) be the third derivative of f(t). Factor u(p).
-p**4/2
Let b(a) be the second derivative of -a**7/147 - a**6/105 + a**5/35 + a**4/21 - a**3/21 - a**2/7 - 2*a. Factor b(g).
-2*(g - 1)**2*(g + 1)**3/7
Let g(a) be the second derivative of 169*a**5/10 - 26*a**4/3 + 4*a**3/3 + 6*a. Factor g(q).
2*q*(13*q - 2)**2
Let v(g) be the second derivative of g**4/30 - 7*g**3/15 + 6*g**2/5 + g. Determine p so that v(p) = 0.
1, 6
Let k(m) be the second derivative of 0 - 1/50*m**5 + 1/15*m**4 - m + 0*m**2 - 1/15*m**3. Factor k(s).
-2*s*(s - 1)**2/5
Let r(p) be the third derivative of -p**8/1512 + p**7/945 + p**6/540 - p**5/270 - 6*p**2 - 2. Suppose r(y) = 0. What is y?
-1, 0, 1
Let c be 4/(3494/(-1164) - -3). Let p be (-10)/35 + c/(-14). Find m such that p*m**2 - 1040/3*m**3 + 8/3 + 800/3*m**4 - 104/3*m = 0.
1/4, 2/5
Let d be (-123)/(-132) + (-8)/44. Let i be -3*1*1/(-4). Solve -d*j**2 - i + 3/2*j = 0 for j.
1
Let h = -1/232 + 73/3480. Let y(m) be the second derivative of 0 - h*m**6 + 0*m**2 + 1/24*m**4 + 1/40*m**5 - m - 1/12*m**3. Factor y(a).
-a*(a - 1)**2*(a + 1)/2
Let m(n) = 3*n**2 - 3*n + 5. Let a(w) = 3*w**2 - 3*w + 4. Let f(q) = -5*a(q) + 4*m(q). Find s, given that f(s) = 0.
0, 1
Factor 21/2*a**2 + 1 + 17/2*a**3 + 5/2*a**4 + 11/2*a.
(a + 1)**3*(5*a + 2)/2
Let p(k) = -k**3 + 12*k**2 - 8*k + 12. Let a be p(11). Factor -62*q - 52*q + 363*q**3 + a*q - 51*q - 231*q**2 - 12.
3*(q - 1)*(11*q + 2)**2
Let z(t) be the first derivative of -t**3/6 - 4*t**2 - 32*t - 24. Determine q so that z(q) = 0.
-8
Let m(y) be the second derivative of y**7/7560 - y**6/1080 + y**5/360 - y**4/4 + y. Let l(q) be the third derivative of m(q). Factor l(g).
(g - 1)**2/3
Let y(d) be the first derivative of -d**5/40 - d**4/6 - 5*d**3/12 - d**2/2 + 3*d - 1. Let n(p) be the first derivative of y(p). Determine o so that n(o) = 0.
-2, -1
Find k such that -15*k + 3*k**4 + 35*k**2 - 237*k**3 + 212*k**3 + 2*k**4 = 0.
0, 1, 3
Let r(v) be the third derivative of 0*v + v**2 - 1/30*v**4 + 0*v**5 - 1/15*v**3 + 1/525*v**7 + 1/150*v**6 + 0. Let r(h) = 0. Calculate h.
-1, 1
Let i(r) be the first derivative of r**4/20 + r**3/5 + 3*r**2/10 + r/5 + 8. Factor i(c).
(c + 1)**3/5
Factor -3/4*g**2 + 9/4*g - 3/2.
-3*(g - 2)*(g - 1)/4
Let j be (-12)/(-21)*(-42)/(-36). Let m(f) be the first derivative of -2/5*f**5 + 0*f + j*f**3 + 1 - 1/2*f**4 + f**2. Factor m(a).
-2*a*(a - 1)*(a + 1)**2
Let b = -6 - -9. Suppose -3*i = -2*u + 4, 0 = -3*u + b*i - 5*i + 6. Suppose -2*w**u + w**4 + w**2 + w**3 - 5*w**5 + 4*w**5 = 0. What is w?
-1, 0, 1
Let z(g) be the third derivative of -g**2 + 0 + 0*g**3 - 1/840*g**6 + 1/168*g**4 + 0*g + 0*g**5. Let z(q) = 0. What is q?
-1, 0, 1
Factor -25*r + 8*r + 9*r + 25*r**2 - 3*r**3.
-r*(r - 8)*(3*r - 1)
Let p(q) be the second derivative of -q**4/36 - 2*q**3/9 + 5*q**2/6 - 19*q. Solve p(t) = 0.
-5, 1
Let c(y) = -40*y**3 + 57*y**2 + 33*y + 13. Let o(s) = -20*s**3 + 29*s**2 + 16*s + 6. Let a(x) = -6*c(x) + 13*o(x). Factor a(l).
-5*l*(l - 2)*(4*l + 1)
Suppose -7*a = -2*a. Let j be a*((-2)/(-4))/1. Factor 2/9*r**2 + j - 4/9*r.
2*r*(r - 2)/9
Find c such that 16 + 9*c**2 - 52*c - 12*c**2 + 15*c**2 = 0.
1/3, 4
Let b(j) be the second derivative of 1/80*j**5 - j + 0*j**2 + 1/120*j**6 - 1/48*j**4 - 1/24*j**3 + 0. What is i in b(i) = 0?
-1, 0, 1
Factor 10*j + 84*j**4 - 9*j**4 + 15*j**3 + 2*j - 48*j**2.
3*j*(j + 1)*(5*j - 2)**2
Let l(z) be the second derivative of z**4/42 - 9*z**2/7 - 9*z. Factor l(m).
2*(m - 3)*(m + 3)/7
Solve 19*c - 2*c**2 + 5 + 6*c + 7 - 15*c = 0.
-1, 6
Let p(d) be the third derivative of -d**6/30 + d**5/5 - d**4/2 + 2*d**3/3 + 3*d**2. Let p(i) = 0. Calculate i.
1
Determine p, given that 1/5*p**3 + 1/5*p**4 + 0 - 1/5*p**2 - 1/5*p = 0.
-1, 0, 1
Let c(r) be the second derivative of -1/2*r**3 + 3/20*r**5 + 0 + 1/10*r**6 - 3/4*r**4 - 2*r + 3*r**2. Suppose c(s) = 0. Calculate s.
-2, -1, 1
Let i = -39 + 43. Let s(t) be the third derivative of 0*t**5 + 1/1176*t**8 + 0*t**3 + i*t**2 + 0 + 0*t - 1/210*t**6 + 0*t**7 + 1/84*t**4. Factor s(b).
2*b*(b - 1)**2*(b + 1)**2/7
Suppose 2*r + 7 - 3 = 3*o, 12 = -2*o + 5*r. Suppose -3*f + 10 = -2*g - 0*g, 4*f - o*g = 16. Factor 2/3*x**5 + 2/3*x**4 + 2/3*x + 2/3 - 4/3*x**3 - 4/3*x**f.
2*(x - 1)**2*(x + 1)**3/3
Suppose 4 - 10 = -2*f. Suppose -f*v + 46 = -8. Factor -v + 18 - j**2 + j.
-j*(j - 1)
Let s = 7 + -4. What is m in -3*m**s + 2*m**3 - 15*m**3 + m**4 + 5*m**4 + 18*m**5 - 8*m**2 = 0?
-2/3, 0, 1
Let l = 1 + -1. Let j(t) = t - 1. Let c be j(5). Find m such that 4*m**2 + c*m - 14*m**2 + l*m = 0.
0, 2/5
Let h be (-6)/(-5)*20/15. What is f in -8/5*f - 2/5*f**2 - h = 0?
-2
Let x = 1/1116 + 44627/14508. Find t such that -4/13*t - 2*t**2 - 18/13*t**4 + 0 - x*t**3 = 0.
-1, -2/9, 0
Suppose 8*r - 42 = -10. Let l(x) be the second derivative of 0*x**3 + 0*x**2 + 1/25*x**5 + 0 + 1/30*x**r + 1/75*x**6 - 2*x. Suppose l(p) = 0. Calculate p.
-1, 0
Suppose 0*k - 4*g = 5*k - 22, 5*g - 21 = -3*k. Suppose 3*i = 4*i - k. Let 4 + a**i + a**3 - 4 = 0. What is a?
-1, 0
Let l(j) be the third derivative of -j**7/42 + j**6/12 - j**5/12 + 11*j**2. Find b such that l(b) = 0.
0, 1
Let c(d) = d**2 - 2*d + 3. Let u be c(2). Suppose -8*x = -u*x - 20. Factor -2*j**5 + x*j**5 - 3*j**3 + j**3.
2*j**3*(j - 1)*(j + 1)
Let n be 2/((-3)/(-6) - -1). Determine s so that -4/3*s**4 + 0 + 14/3*s**5 - 14/3*s**3 + 0*s + n*s**2 = 0.
-1, 0, 2/7, 1
Let r be ((-7)/2)/(3/(-4)). Let g = -4 + r. Suppose -4/9 - g*i - 2/9*i**2 = 0. Calculate i.
-2, -1
Suppose 3*k + 12 = -0*k. Let w be 6/k*(-40)/210. Suppose 4/7*t + w*t**2 + 2/7 = 0. Calculate t.
-1
What is m in 1/7*m**3 + 0*m - 1/7*m**2 + 0 = 0?
0, 1
Suppose -2 = -6*m - 2. Factor 1/2*j + m - 1/2*j**2.
-j*(j - 1)/2
Let n(o) be the third derivative of -2*o**7/945 + o**6/270 + o**5/45 - o**4/54 - 4*o**3/27 + 15*o**2. Suppose n(f) = 0. Calculate f.
-1, 1, 2
Factor -4/5*h**4 + 4/5*h**2 + 2/5*h + 0 + 0*h**3 - 2/5*h**5.
-2*h*(h - 1)*(h + 1)**3/5
Let i(o) be the second derivative of 1/45*o**6 - 1/9*o**4 + 7*o - 1/18*o**3 + 0 - 1/126*o**7 + 1/30*o**5 + 1/3*o**2. Suppose i(u) = 0. What is u?
-1, 1, 2
Let a(w) be the first derivative of -w**7/21 - 2*w**6/15 + w**4/3 + w**3/3 - 2*w - 3. Let j(x) be the first derivative of a(x). Factor j(b).
-2*b*(b - 1)*(b + 1)**3
Let z(g) be the second derivative of -5*g**4/16 - g**3/4 - 5*g. Factor z(q).
-3*q*(5*q + 2)/4
Let w(f) be the first derivative of -2*f**6/15 + 2*f**4/5 - 2*f**2/5 + 15. Factor w(j).
-4*j*(j - 1)**2*(j + 1)**2/5
Let x(f) be the third derivative of f**8/84 - 8*f**7/105 + f**6/5 - 4*f**5/15 + f**4/6 + 6*f**2. Suppose x(t) = 0. Calculate t.
0, 1
Let n(t) be the first derivative of -t**6/33 - 14*t**5/55 - 19*t**4/22 - 50*t**3/33 - 16*t**2/11 - 8*t/11 - 32. Solve n(z) = 0.
-2, -1
Let z be 0 - (2 - 14)/3. Let u be ((-10)/(-2 + z))/(-1). Find s such that -s**2 + 5*s**3 - 2*s**4 - s**4 - 4*s**u - 5*s**5 = 0.
-1, 0, 1/3
Let k(n) be the first derivative of n**8/504 - n**7/630 + 2*n**3/3 - 6. Let m(q) be the third derivative of k(q). Find h such that m(h) = 0.
0, 2/5
Let m be 2*(-2)/12*(-42)/77. Solve 0*c + 2/11*c**2 - m = 0.
-1, 1
Let i(v) = v - 14. Let u be i(17). Let j(o) be the third derivative of 0*o**5 + 0*o - 1/60*o**6 - 2*o**2 + 0 + 2/3*o**u + 1/4*o**4. What is l in j(l) = 0?
-1, 2
Let b(q) be the third derivative of 0*q - 1/3*q**3 - 1/270*q**5 + 0 - 3*q**2 - 1/18*q**4. Factor b(l).
-2*(l + 3)**2/9
Let d(x) be the second derivative of -x**4/18 + 4*x**2/3 - 17*x. Solve d(v) = 0.
-2, 2
Let b be ((-6)/20)/(96/(-40)). Let h(d) be the first derivative of b*d**2 + 1/2*d - 1/12*d**3 - 3. Find w, given that h(w) = 0.
-1, 2
Let r(b) = b**3 + 8*b**2 - 4*b + 8. Let p be r(-8). Suppose 3*l**2 - 74*l**3 + 37*l**3 + p*l**3 = 0. What is l?
-1, 0
Let j(d) be the third derivative of -256*d**7/105 - 8*d**6/5 - 2*d**5/5 - d**4/24 + 5*d*