*4 + 5/8*k**2 + 0 + 1/80*k**5. Suppose l(x) = 0. What is x?
-5, 1
Suppose -3*t - 27 = -12*t. Determine x so that -4*x + 7*x**3 - 2*x**2 + 3*x**3 - 8*x**t = 0.
-1, 0, 2
Suppose 0 = 5*h + 3*z + 5, -6*z = h - 2*z + 18. Let u be ((-112)/(-42))/(-2*h/(-6)). Find b such that -3/7*b**3 + 3/7*b + 3/7*b**u + 0 - 3/7*b**2 = 0.
-1, 0, 1
Let f(m) be the first derivative of -m**6/3 + 8*m**5 - 145*m**4/2 + 940*m**3/3 - 700*m**2 + 784*m + 106. What is x in f(x) = 0?
2, 7
Let f(z) be the third derivative of -z**5/270 - z**4/108 - 45*z**2. Solve f(r) = 0 for r.
-1, 0
Let o(r) be the first derivative of 2*r**5/5 + 4*r**4 + 12*r**3 + 16*r**2 + 10*r + 106. Factor o(g).
2*(g + 1)**3*(g + 5)
Let f = -1572721/360 - -34821/8. Let d = f + 148/9. Solve -4/5*y + 2/5 + d*y**2 = 0.
1
Let z(c) = -c - 3*c + 2 + 3*c. Let t be z(-1). Factor t + 4*i - 1 - 2*i**2 - 2.
-2*i*(i - 2)
Let b(o) be the second derivative of -5*o**7/84 + o**5/2 - 5*o**4/12 - 5*o**3/4 + 5*o**2/2 + 74*o. Solve b(h) = 0.
-2, -1, 1
Let w(u) be the second derivative of u**4/12 + 13*u**3/3 + 169*u**2/2 - 64*u. Factor w(a).
(a + 13)**2
Let p be ((-24)/10)/((-198)/(-660)) - -10. Let q(m) be the third derivative of 0*m + 0 - 12*m**p - 3/8*m**4 + m**3 + 1/20*m**5. Factor q(j).
3*(j - 2)*(j - 1)
Let g(z) be the first derivative of -z**5/60 - z**4/12 - z**3/6 - 5*z**2 - 3. Let i(v) be the second derivative of g(v). Solve i(j) = 0.
-1
Factor f**3 - 5952*f - 2304 - 506*f**2 + 22*f**2 + 3*f**3 - 14*f**3.
-2*(f + 24)**2*(5*f + 2)
Let b be 1 - (-3 + (0 - -2)). Let q = 7685/2 + -3842. Factor k**b + q*k + 0 + 1/2*k**3.
k*(k + 1)**2/2
Let g be (-3 + (-102)/(-18))*(-21)/(-4). Let k = 16 - g. Factor 1/5*t**k + 2/5 - 3/5*t.
(t - 2)*(t - 1)/5
Let h(i) be the first derivative of i**6/144 - i**5/8 + 5*i**4/6 + i**3/3 + 6*i**2 - 4. Let x(n) be the third derivative of h(n). Factor x(w).
5*(w - 4)*(w - 2)/2
Let a be ((-4)/(-4) + -2)*-5. Let s(n) be the first derivative of 2 - 6*n**3 - 12*n - 6*n**2 + a*n**3 + 0. Find c such that s(c) = 0.
-2
Let y be -11 + (3 - 175/(-21)). Solve -1/6*h**2 - 1/2*h - y = 0 for h.
-2, -1
Let d(c) = c**2 - 33*c + 97. Let b be d(30). Suppose -b*t + 11 = -17. Let 6/5*n**3 + 0*n**2 + 0*n + 3/5*n**t + 0 = 0. What is n?
-2, 0
Suppose 160/3 - 20/3*s - 40/3*s**2 + 5/3*s**3 = 0. Calculate s.
-2, 2, 8
Let y(a) be the first derivative of -a**4/72 + a**3/36 + a**2/6 + 8*a + 10. Let l(o) be the first derivative of y(o). Determine q so that l(q) = 0.
-1, 2
Let n(o) be the first derivative of o**4/22 + 6*o**3/11 + 24*o**2/11 + 32*o/11 + 20. Find p such that n(p) = 0.
-4, -1
Let v(g) = 5*g**2 - 12*g + 4. Let s be v(2). Solve 0*r**3 + s*r**2 + 0*r - 2/15*r**5 - 4/15*r**4 + 0 = 0 for r.
-2, 0
Let z(l) be the third derivative of l**6/60 - l**4/12 + 124*l**2. Factor z(p).
2*p*(p - 1)*(p + 1)
Let a(y) be the third derivative of y**8/1680 - 8*y**7/525 - y**6/600 + 4*y**5/75 + 83*y**2. Solve a(g) = 0.
-1, 0, 1, 16
Let l(c) = 15*c + 90. Let b be l(-6). Let k(r) be the third derivative of -5*r**2 + 0 - 2/15*r**3 + b*r + 1/15*r**4 - 1/75*r**5. Factor k(f).
-4*(f - 1)**2/5
Let b(z) be the second derivative of z**6/540 + z**5/270 + 13*z**2/2 - 2*z. Let t(x) be the first derivative of b(x). Let t(q) = 0. What is q?
-1, 0
Let x = -13744/255 - -812/15. Find f, given that -18/17*f - 28/17*f**3 - x - 12/17*f**4 - 2/17*f**5 - 32/17*f**2 = 0.
-2, -1
Let u(w) be the third derivative of w**7/105 - w**6/20 + w**5/30 + w**4/4 - 2*w**3/3 - 19*w**2. Factor u(j).
2*(j - 2)*(j - 1)**2*(j + 1)
Suppose 0 = 4*s + 2*z - 344, -35 = 3*s + 3*z - 287. Let b = -343/4 + s. Solve -b*p**5 + 2*p**2 - 1/2 + 7/4*p - 11/2*p**3 - 15/2*p**4 = 0 for p.
-2, -1, 1/3
Let n(l) be the third derivative of 0*l + 0*l**4 + 0 + 0*l**3 + 5/1008*l**8 + 4*l**2 + 2/63*l**7 + 1/18*l**5 + 5/72*l**6. Factor n(q).
5*q**2*(q + 1)**2*(q + 2)/3
Let h(w) = w**2 - 14*w + 22. Let d be h(9). Let p(s) = s**3 + 22*s**2 - 23*s + 2. Let l be p(d). Factor -2*k - 1/2 - l*k**3 - 3*k**2 - 1/2*k**4.
-(k + 1)**4/2
Suppose -27*x = -20*x. Suppose 5*l + 15 = -3*p + 6*p, x = l + 3. Factor 2/5*b**2 - 7/5*b**3 + 1/5*b + 4/5*b**4 + p.
b*(b - 1)**2*(4*b + 1)/5
Let a(l) be the first derivative of l**3/8 + l**2/4 - 18. Suppose a(g) = 0. What is g?
-4/3, 0
Let r(f) be the third derivative of 7*f**6/30 + 23*f**5/5 - 5*f**4/3 + 233*f**2. Factor r(c).
4*c*(c + 10)*(7*c - 1)
Let b(n) = -20*n + 40. Let t(m) = -m**2 - 19*m + 41. Suppose q + q = -10. Let f(k) = q*b(k) + 4*t(k). Factor f(d).
-4*(d - 3)**2
Suppose 0 = -5*k - 2*u + 23, -4*k + 5*k - 4*u = -13. Factor z**4 - 3*z**5 - 19*z**k - 4*z**4 + 3*z**2 + 22*z**3.
-3*z**2*(z - 1)*(z + 1)**2
What is s in 2/7 + 13*s**2 + 93/7*s = 0?
-1, -2/91
Let d(o) be the third derivative of -7*o**7/50 - 301*o**6/200 - 9*o**5/25 + 9*o**4/10 - o**2 + 197*o. What is y in d(y) = 0?
-6, -3/7, 0, 2/7
Let t(z) = 13*z**3 + 59*z**2 + 133*z. Let q be 114/22 + (-8)/44. Let p(f) = 72*f**3 + 324*f**2 + 732*f. Let r(w) = q*p(w) - 28*t(w). Factor r(u).
-4*u*(u + 4)**2
Let j(b) be the second derivative of b**6/180 - 7*b**5/60 + b**4/3 + 3*b - 122. Factor j(f).
f**2*(f - 12)*(f - 2)/6
Let s = 110 - 33. Determine r so that 76*r - s*r + r**3 - 2 - 1 + 3*r**2 = 0.
-3, -1, 1
Let c = 173 + -168. Suppose -c*p - 3*x + 30 = -0*x, -5*p + 4*x = 5. Let -3*g + 3/2*g**p - 3/2*g**2 + 0 = 0. What is g?
-1, 0, 2
Let v = -1880 + 1883. Factor 1/2 + 1/4*i**2 - 7/8*i + 1/8*i**v.
(i - 1)**2*(i + 4)/8
Suppose 1800 - 5083*o**2 - 141*o - 1280*o**3 + 795*o**2 - 2439*o = 0. What is o?
-15/8, 2/5
Let g = 32 + -19. Let u = 15 - g. Determine h so that -2*h + h**2 - 4*h**2 - u*h + h = 0.
-1, 0
Let g = -11 - -15. Determine a so that -142*a**g + 132*a**4 - 19 - 1 + 15*a**2 + 40*a - 25*a**3 = 0.
-2, 1/2, 1
Let j(m) = 28*m**2 + 329*m + 323. Let i(o) = 10*o**2 + 110*o + 108. Let z(v) = -11*i(v) + 4*j(v). Suppose z(c) = 0. Calculate c.
-52, -1
Let w(p) be the second derivative of -p**6/40 + 9*p**5/20 - 3*p**4 + 10*p**3 - 29*p**2/2 - 46*p. Let o(s) be the first derivative of w(s). Factor o(g).
-3*(g - 5)*(g - 2)**2
Let d(f) = -f**2 + 17*f - 10. Let o be d(16). Let y be (-1 - 0)/(-10 - 1)*o. Factor y*c - 6/11*c**2 - 2/11 + 2/11*c**3.
2*(c - 1)**3/11
Let z(i) be the first derivative of -i**4/6 + 10*i**3/9 + 11*i**2 + 18*i - 290. Factor z(c).
-2*(c - 9)*(c + 1)*(c + 3)/3
Factor -88*u + 148/3*u**2 - 10*u**3 + 48 + 2/3*u**4.
2*(u - 6)**2*(u - 2)*(u - 1)/3
Let c = -59 + 71. Let n(o) = -2*o + 28. Let s be n(c). Let -5/2*l**3 - 2*l + 0 - 4*l**2 - 1/2*l**s = 0. Calculate l.
-2, -1, 0
Let a(r) = -4*r + 10. Suppose -19 = f - 4*t - 3, f + 4 = -2*t. Let h be a(f). Solve -66*o**4 + 64*o**3 + 14*o**5 + 0*o**5 + 1 - 62*o**2 + h*o**3 + 7 = 0.
-2/7, 1, 2
Let g be (-36)/(-14)*70/10. Let p - 7*p**5 - 35*p**2 + 35*p**4 + 15*p**3 - g*p**5 + 8*p + p = 0. What is p?
-1, 0, 2/5, 1
Factor 4*q**2 + 3*q**2 - q - 5*q**2 - 9 - 3*q**2 - 9*q.
-(q + 1)*(q + 9)
Let q(o) = -2*o**2 - 9*o + 1. Let g(u) = 4*u**2 + 19*u - 3. Let m(r) = -3*g(r) - 7*q(r). Let a(w) = -8*w**2 - 19*w - 7. Let k(n) = 2*a(n) + 7*m(n). Factor k(f).
-2*f*(f - 2)
Let t(w) be the third derivative of w**6/360 - 3*w**5/20 + 7*w**4/3 + 98*w**3/9 - 41*w**2. Factor t(d).
(d - 14)**2*(d + 1)/3
Let s(g) be the second derivative of -g**4/66 + 6*g**3/11 - g - 9. Determine m, given that s(m) = 0.
0, 18
Factor -5/12*k**3 + 1/3*k**4 + 0*k + 0 - 1/12*k**5 + 1/6*k**2.
-k**2*(k - 2)*(k - 1)**2/12
Let t = -5 - -9. Suppose 20 = -4*y, -3*m = -0*m - 3*y - 27. What is z in -z**4 - 5*z**4 + 4*z**t - 8*z**3 - m*z**4 + 8*z**2 = 0?
-2, 0, 2/3
Suppose -118 = 2*v - 3*w, 5*v - 4*w + 122 = -180. Let s = 62 + v. Suppose -1/4*r**3 + 1/4*r**5 + 0*r**2 + s + 0*r + 0*r**4 = 0. Calculate r.
-1, 0, 1
Let m = -36 - -30. Let d(w) = 2*w + 14. Let t be d(m). Find g such that -2*g**4 - 3 + 6*g**t - g**4 + 0*g**4 = 0.
-1, 1
Suppose 0 + 8/11*o + 2/11*o**3 - 8/11*o**2 = 0. Calculate o.
0, 2
Let l(k) be the third derivative of 8*k**2 + 0 + 0*k**4 + 0*k**3 - 1/1260*k**7 + 0*k + 1/360*k**5 + 0*k**6. Determine d, given that l(d) = 0.
-1, 0, 1
Let u be -1 - ((-10)/8 - 1). Let g be 3/((-3)/(-2) + 0). What is k in -3/4 - 1/2*k**g - u*k = 0?
-3/2, -1
Let j(w) be the first derivative of w**5/10 - w**4/6 - w**3/3 + w**2 - 14*w + 5. Let p(f) be the first derivative of j(f). Find v such that p(v) = 0.
-1, 1
Let c be (27 - 19) + -6 + 1/(-8). Fac