Let c(i) be the third derivative of 0*i + 0*i**4 + 0 + i**2 + 1/90*i**5 - 1/9*i**3. Solve c(h) = 0.
-1, 1
Let j be (39/(-36))/13*-6. Suppose 0 + 9/8*a**3 + 7/8*a**4 - 3/2*a**2 - j*a = 0. What is a?
-2, -2/7, 0, 1
Let n(b) be the third derivative of b**6/420 + b**5/210 - 2*b**4/21 - 4*b**3/7 + 30*b**2. Factor n(l).
2*(l - 3)*(l + 2)**2/7
Let s(a) be the third derivative of -a**11/133056 - a**10/60480 - 7*a**5/30 - 14*a**2. Let h(x) be the third derivative of s(x). Factor h(z).
-5*z**4*(z + 1)/2
Let u(r) be the second derivative of -r**7/672 - r**6/180 + r**5/120 + r**3/2 - 18*r. Let s(p) be the second derivative of u(p). Suppose s(l) = 0. Calculate l.
-2, 0, 2/5
Let b be ((-95)/76 - -2) + (-1 - -1). Solve -1/4*x**2 + 0 + b*x = 0.
0, 3
Let i be (2*3)/(10/(-80)). Let f be (-16 - -4)/(126/i). Factor f*u**3 + 0*u + 0 - 2*u**4 - 8/7*u**2.
-2*u**2*(u - 2)*(7*u - 2)/7
Suppose -10*n**3 + 6*n + 81*n**5 + 2*n - 40*n**5 + 20*n**2 - 4*n**4 - 39*n**5 - 16 = 0. What is n?
-2, -1, 1, 2
Let x(s) be the first derivative of s**4/2 - 4*s**3/3 + 2*s**2 + 9. Let j(y) = -4*y**3 + 8*y**2 - 9*y. Let h(r) = -2*j(r) - 5*x(r). Let h(a) = 0. What is a?
0, 1
Let z(t) be the second derivative of -t**4/54 - t**3/9 + 4*t**2/9 - 298*t. Find n, given that z(n) = 0.
-4, 1
Let d(g) be the second derivative of -g**6/3 - 26*g**5/5 + 35*g**4/6 + 22*g**3/3 - 113*g - 3. Let d(c) = 0. What is c?
-11, -2/5, 0, 1
Let a(i) be the third derivative of 0 - 1/24*i**6 + 1/4*i**5 + 5/12*i**4 - 5/336*i**8 - 1/14*i**7 + 0*i + i**2 + 0*i**3. Let a(s) = 0. What is s?
-2, -1, 0, 1
Factor 0 - 10*r**2 + 4*r**3 + 2/3*r**4 + 16/3*r.
2*r*(r - 1)**2*(r + 8)/3
Let p(s) = -4*s + 26. Let l be p(13). Let y = l + 28. Determine a so that 1/4*a**y + 0 - 1/4*a = 0.
0, 1
Let r(f) = 3*f**2 + 3*f - 4. Let j be (-2)/(-2) - 0 - -20. Let q = 10 - j. Let d(n) = -16*n**2 - 16*n + 21. Let m(w) = q*r(w) - 2*d(w). Factor m(b).
-(b - 1)*(b + 2)
Let q = 73 + -49. Suppose 0 = -2*w - 4*w + q. Determine y so that 4/5*y**3 - 2/5*y**2 + 0 - 4/5*y + 2/5*y**w = 0.
-2, -1, 0, 1
Let j be 14/(-35) + 87/180. Let r(w) be the third derivative of 1/6*w**3 + 1/60*w**5 + w**2 + j*w**4 + 0 + 0*w. Find p such that r(p) = 0.
-1
Suppose 26*x - 50*x = -144. Let l(q) be the second derivative of -8*q + 0 - 1/7*q**4 + 4/7*q**2 - 2/35*q**x - 2/7*q**3 + 1/5*q**5. Solve l(t) = 0 for t.
-2/3, 1
Let o(x) = 6*x**2 - 7*x**2 + 10*x + 16 + 2*x**2. Let l be o(-8). Factor 9/5*k + 3/5*k**2 + l.
3*k*(k + 3)/5
Let o = -5382 - -5382. Let o*c + 1/3*c**4 + 7/6*c**5 + 0 - 7/6*c**3 - 1/3*c**2 = 0. What is c?
-1, -2/7, 0, 1
What is i in -9/7*i**5 + 138/7*i**2 - 60/7*i + 159/7*i**3 - 72/7 + 24/7*i**4 = 0?
-2, -1, 2/3, 6
Suppose -3*c + 6*c - 4*h - 91 = 0, 3*h - 15 = 0. Let j = c + -35. Factor 1/3*a**j + 2/3*a + 1/3.
(a + 1)**2/3
Suppose 135*g - 121*g - 42 = 0. Let k(j) be the second derivative of 1/50*j**5 + 2/5*j**2 - 12*j - 1/15*j**g - 1/15*j**4 + 0. What is w in k(w) = 0?
-1, 1, 2
Suppose 0 = -3*y - y + 20. Suppose -7*f + 2*f = -y. Determine l so that -f + 5*l**2 - 7*l - 2 + 5 = 0.
2/5, 1
Let h(z) be the second derivative of -z**6/6 - z**5/4 + 231*z. Solve h(c) = 0 for c.
-1, 0
Let t(x) be the second derivative of x**5/12 - 5*x**4/12 + 5*x**3/9 - 204*x. Factor t(j).
5*j*(j - 2)*(j - 1)/3
Let j(v) be the second derivative of 3*v**5/20 - 11*v**4/2 + 38*v**3 - 108*v**2 + 821*v. Factor j(x).
3*(x - 18)*(x - 2)**2
Suppose 5*q + 10 = 4*a, -2*q - 2*a + 4 = -5*q. Factor q - 50*l + l**2 + 47*l + 1 - 1.
(l - 2)*(l - 1)
Let z(y) be the first derivative of -y**3/9 - 23*y**2/2 + 70*y/3 + 481. Factor z(r).
-(r - 1)*(r + 70)/3
Let c(q) be the first derivative of -1/12*q**4 + 5/2*q**2 + 0*q + 1 + 0*q**3 - 1/30*q**5. Let l(b) be the second derivative of c(b). What is h in l(h) = 0?
-1, 0
What is y in 60/13*y**3 - 6/13 - 2*y**4 + 32/13*y - 64/13*y**2 + 4/13*y**5 = 0?
1/2, 1, 3
Let h(t) be the first derivative of 2*t**6/45 + t**5/15 - t**4/9 - 2*t**3/9 + 11*t - 2. Let j(n) be the first derivative of h(n). What is g in j(g) = 0?
-1, 0, 1
Let o(n) be the first derivative of -n**5/10 - 17*n**4/4 - 107*n**3/2 - 136*n**2 - 128*n - 482. Factor o(g).
-(g + 1)**2*(g + 16)**2/2
Let w(r) be the third derivative of -r**7/280 - r**6/40 + r**4/2 - 31*r**3/6 + 26*r**2. Let p(n) be the first derivative of w(n). Let p(o) = 0. Calculate o.
-2, 1
Suppose 8 = 3*y + 4*a, y - a = -3*a + 2. Let m(o) = -4*o**3 - 1. Let d be m(-1). Factor h**4 + 5*h**2 + 3*h**4 - 2*h**4 - d*h**2 - y*h**3.
2*h**2*(h - 1)**2
Let u(h) = -62*h + 2. Let g be u(0). Determine c so that -3/5 - 1/5*c**g + 4/5*c = 0.
1, 3
What is r in 0*r + 6/7*r**5 + 16/7*r**3 + 24/7*r**2 + 0 - 26/7*r**4 = 0?
-2/3, 0, 2, 3
Let h(c) be the first derivative of -2*c**6/3 - 12*c**5/5 + c**4 + 28*c**3/3 - 16*c - 132. What is y in h(y) = 0?
-2, -1, 1
Let g be 4 - (-3 + (-246)/(-36)). Let m(q) be the third derivative of -g*q**3 + 5*q**2 + 1/16*q**4 - 1/120*q**5 + 0 + 0*q. Factor m(l).
-(l - 2)*(l - 1)/2
Let x = -1123 + 10108/9. Let r(y) be the first derivative of 6 - 2/3*y**2 - x*y**3 - 4/3*y. Factor r(n).
-(n + 2)**2/3
Let h be 3/(-8)*12/(-18). Let d(w) be the first derivative of 0*w + h*w**2 + 9/8*w**4 + 2/5*w**5 + w**3 + 3. Let d(r) = 0. Calculate r.
-1, -1/4, 0
Let g = 223 - 219. Let s(z) be the second derivative of 3*z**2 + 5/2*z**3 + z**4 + 0 + g*z + 3/20*z**5. Factor s(l).
3*(l + 1)**2*(l + 2)
Let -23085*g**2 + 8*g + 23085*g**2 + 3*g**3 + 2*g**5 - 13*g**3 = 0. Calculate g.
-2, -1, 0, 1, 2
Suppose 1439*k - 1477*k = -114. Let -1/7*r**4 + 2/7*r**k + 0*r + 0 + 0*r**2 - 1/7*r**5 = 0. Calculate r.
-2, 0, 1
Let x(k) = -k**2 - 269 - k - 9*k + 264. Let v be x(-8). Factor 3*s**2 + 9*s**2 - v*s + 2*s**4 + 3*s - 16 + 10*s**3.
2*(s - 1)*(s + 2)**3
Let d(c) be the second derivative of -c**6/630 + 4*c**5/105 - c**4/6 + 5*c**3/3 + 3*c. Let b(y) be the second derivative of d(y). Determine f so that b(f) = 0.
1, 7
Let n = 1467 + -1462. Let b(y) be the third derivative of 10*y**2 + 0 + 0*y**3 + 1/36*y**4 + 0*y**n + 0*y - 1/180*y**6. Factor b(j).
-2*j*(j - 1)*(j + 1)/3
Let t be (-4)/(-252)*(-15)/(-10). Let a(m) be the second derivative of -2/21*m**3 + 5*m + t*m**4 + 1/7*m**2 + 0. Factor a(q).
2*(q - 1)**2/7
Let b be 6/(-2) - (-5 - (6 + -5)). Determine k, given that -4*k**2 - b*k**4 + k**3 + 5*k**3 + 13*k**2 = 0.
-1, 0, 3
Let c(u) be the second derivative of -1/100*u**5 + 0 + 0*u**2 + 18*u - 1/30*u**4 + 0*u**3. Factor c(a).
-a**2*(a + 2)/5
Solve 45/4*l - 3/4*l**3 - 3/2*l**2 + 0 = 0 for l.
-5, 0, 3
Let f(p) be the first derivative of -p**6/2 + 3*p**5 - 15*p**4/2 + 10*p**3 - 15*p**2/2 + 3*p + 125. Factor f(i).
-3*(i - 1)**5
Let 18/5*v**2 + 3*v**3 - 96/5 - 96/5*v - 3/5*v**4 = 0. What is v?
-2, -1, 4
Let p(a) = 7*a**4 - 11*a**3 - 4*a**2 + 24*a - 21. Let c(t) = -6*t**4 + 10*t**3 + 4*t**2 - 24*t + 20. Let b(l) = 5*c(l) + 4*p(l). Factor b(g).
-2*(g - 2)**2*(g - 1)*(g + 2)
Let u(d) = -9*d - 1. Let l be u(-13). Let q = 116 - l. Factor 1/2*s**2 + q + 0*s.
s**2/2
Let j be (-2)/(68/51) - ((-22)/8 - -1). Factor b - j*b**2 + 0.
-b*(b - 4)/4
Let c(q) be the first derivative of q**6/15 - 18*q**5/25 + 3*q**4 - 92*q**3/15 + 33*q**2/5 - 18*q/5 - 57. Determine s so that c(s) = 0.
1, 3
Factor 2/7*g**2 - 32/7*g + 30/7.
2*(g - 15)*(g - 1)/7
Let u(g) be the first derivative of 12*g**4 + 9/2*g + 19*g**3 - 69/4*g**2 - 48/5*g**5 + 36. What is k in u(k) = 0?
-1, 1/4, 3/2
Let z(q) be the first derivative of q**5 + 5*q**4/4 - 20*q**3 - 70*q**2 - 80*q + 120. Determine x so that z(x) = 0.
-2, -1, 4
Let j be 3/(-6 - -3) + 4. Suppose -8 - 4 = -4*b. Find a such that -b*a**2 + a**3 - 2 - a - j + 7 + 0*a**4 + a**4 = 0.
-2, -1, 1
Let a(d) be the second derivative of d**4/12 + 25*d**3/6 + 106*d. Let a(x) = 0. Calculate x.
-25, 0
Let f(q) = 8*q**4 - 7*q**3 + 4*q**2 + 2*q. Let s = -15 + 1. Let a(k) = k**4 - k**3 + k**2. Let y(o) = s*a(o) + 2*f(o). Factor y(g).
2*g*(g - 1)**2*(g + 2)
Let l(k) be the first derivative of -k**5/240 - k**4/72 - 22*k - 2. Let r(h) be the first derivative of l(h). Factor r(n).
-n**2*(n + 2)/12
Let g = -38/177 - -620/1239. Factor 0 - g*p**2 - 4/7*p.
-2*p*(p + 2)/7
Solve -61*o**3 - 70*o**2 - 60 - 20*o**4 - 265*o + 68*o**3 + 108*o**3 = 0 for o.
-1, -1/4, 3, 4
Let q(b) be the third derivative of b**7/1050 - b**6/150 + b**5/75 + 75*b**2 + 1. Factor q(x).
x**2*(x - 2)**2/5
Let u(g) = 8*g