first derivative of -1/10*l**4 + 0*l - 122 + 0*l**2 - 8/3*l**3. Suppose y(i) = 0. What is i?
-20, 0
Suppose 34*j - 64 - 122 = -28*j. Let b be ((-338)/(-91))/2 - (1 + 0). Let -2/7*q - 6/7*q**j - b*q**2 - 2/7*q**4 + 0 = 0. Calculate q.
-1, 0
Let o be (8/64)/(14/24)*(3 - -1). Determine h, given that -3*h + 15/7*h**2 + o = 0.
2/5, 1
Let s = -7835 + 1292779/165. Let a = 232/495 - s. Factor a - 2/3*n - 4/9*n**2.
-2*(n + 2)*(2*n - 1)/9
Let x(v) = 15*v**2 + 80*v + 233. Let s(r) = -22*r**2 - 79*r - 231. Let p(f) = -2*s(f) - 3*x(f). Factor p(w).
-(w + 3)*(w + 79)
Let p = -3136 - -3139. Let s(j) be the third derivative of 0 - 1/105*j**7 + 1/15*j**6 + 0*j**4 - 1/10*j**5 - 37*j**2 + 0*j + 0*j**p. Find k such that s(k) = 0.
0, 1, 3
Let d(r) = r**3 + 24*r**2 + 44*r + 7. Let n be d(-13). Let b = -1292 + n. Suppose 0*j + 0 - 6/7*j**4 + 27/7*j**3 - 12/7*j**b = 0. What is j?
0, 1/2, 4
Let i(j) be the second derivative of 3*j**5/40 - 6933*j**4/8 + 16022163*j**3/4 - 37027218693*j**2/4 - 744*j. Factor i(u).
3*(u - 2311)**3/2
Let d(u) be the first derivative of -6*u + 5*u**2 - 2/3*u**3 - 129 - 1/2*u**4. Factor d(c).
-2*(c - 1)**2*(c + 3)
Let c(w) be the first derivative of w**5/10 - 3*w**4 + 58*w**3/3 - 36*w**2 - 5500. Solve c(g) = 0 for g.
0, 2, 4, 18
Let l = -3682/29 - -7973/58. What is q in 3/4*q**2 + l - 45/4*q = 0?
1, 14
Let k(r) be the first derivative of -r**6/3 + 18*r**5/65 + 2*r**4/13 - 2476. Factor k(f).
-2*f**3*(f - 1)*(13*f + 4)/13
Let x(b) be the second derivative of b**4/24 - 185*b**3/6 + 53*b - 21. Factor x(t).
t*(t - 370)/2
Let z(a) = -a**3 - 1. Let v(d) = 4*d**3 + 10*d**2 - 10*d - 46. Let g(t) = -v(t) - 5*z(t). Let p be g(8). Factor -2/5*u - 4/5*u**2 + 2/5*u**p + 4/5.
2*(u - 2)*(u - 1)*(u + 1)/5
Let m = 266 - 259. Suppose 2*n = 5*v - 2, 3*n = m*v - 4*v - 3. Factor v - 2*t - 2/3*t**2.
-2*t*(t + 3)/3
Let y = 70047/2 - 34987. Factor y*b**2 + 4*b**5 + 14*b + 22*b**4 + 2 + 43*b**3.
(b + 2)**2*(2*b + 1)**3/2
Let p(h) be the first derivative of -3*h**4/4 + 95*h**3 + 3*h**2/2 - 285*h + 1265. Solve p(d) = 0.
-1, 1, 95
Find y, given that -39/7*y**3 + 9/7*y**2 - 3/7*y**4 + 123/7*y + 78/7 = 0.
-13, -1, 2
Solve -260/11*y - 2/11*y**3 - 134/11*y**2 + 0 = 0 for y.
-65, -2, 0
Let v(i) be the first derivative of 2/5*i + 2/5*i**2 - 6 + 2/15*i**3. Factor v(o).
2*(o + 1)**2/5
Suppose -3*y = -9 + 3. Suppose -y*j = -9*j + 14. Let 15*u - 5*u**j + 11*u + 4*u**2 - 20*u = 0. Calculate u.
0, 6
Let m(h) be the first derivative of -4/7*h - 6/7*h**2 + 91 - 5/21*h**3. Factor m(j).
-(j + 2)*(5*j + 2)/7
Suppose -5*p + 17 = -2*x, -539*p = -542*p - x + 8. Let c(t) be the first derivative of -5/6*t**p + 14 + 0*t + 15/4*t**2. Suppose c(f) = 0. Calculate f.
0, 3
Let -5314/3*l - 2/3*l**2 + 0 = 0. Calculate l.
-2657, 0
Let i(a) be the first derivative of -a**3/3 - 4*a**2 - 14*a + 3. Let g be i(-4). Let 10*d + 8*d**2 + 13 - g*d + 3 - 7*d**2 = 0. Calculate d.
-4
Let y(a) = -a**3 + 5*a**2 + 3*a - 3. Let o be y(5). Let q = 1009 + -1006. Factor 4*c + q*c**2 + 4*c**4 + 8*c - 7*c**2 - o*c**3.
4*c*(c - 3)*(c - 1)*(c + 1)
Let f = 1090 - 1072. Let p(s) be the second derivative of -f*s + 40/3*s**3 + 0 + 16*s**2 + 2/15*s**6 + 6*s**4 + 7/5*s**5. Let p(b) = 0. Calculate b.
-2, -1
Let f(s) be the first derivative of -2/5*s**3 + 94 - 126/5*s**2 - 2646/5*s. Find n, given that f(n) = 0.
-21
Let t(z) be the second derivative of 0*z**3 + 2/21*z**7 + 1/6*z**4 + 1/3*z**6 + 4 + 0*z**2 + 7*z + 2/5*z**5. Determine k, given that t(k) = 0.
-1, -1/2, 0
Let d(v) be the first derivative of -2*v**3/27 - 3532*v**2/9 - 2354*v/3 + 2129. Factor d(b).
-2*(b + 1)*(b + 3531)/9
Let v = 112895 + -225789/2. Suppose -2*c = -5*h, c = 6*c - 3*h. Factor -v*s + c - 1/4*s**2.
-s*(s + 2)/4
Let r = 284/5 + -842/15. Let k(z) be the third derivative of 0 - 22*z**2 + 0*z**4 + 0*z - 1/135*z**5 + r*z**3. Factor k(n).
-4*(n - 3)*(n + 3)/9
Let r be (-11*(-2941)/3806)/(34/8). What is t in -1/4*t**4 + 7/2*t**r + 0*t + 0 + 13/4*t**3 = 0?
-1, 0, 14
Let i be 2528/553 + (-8)/14. Let q(z) be the second derivative of -1/2*z**6 - 5/42*z**7 + 0 + 0*z**3 + 0*z**2 + 0*z**5 + i*z + 5/3*z**4. Factor q(f).
-5*f**2*(f - 1)*(f + 2)**2
Let a = 28 + -35. Let d be a - 13/(78/(-45)). Factor 2 - m**3 + 2*m + d*m**4 - 3/2*m**2.
(m - 2)**2*(m + 1)**2/2
Suppose 2*t + 3*f - 9 = 4*f, -5*t + 4*f = -30. Suppose 0*k - 2 = 2*k + t*y, 5*y = 4*k - 23. Factor -8/7 + 0*n + 6/7*n**k + 2/7*n**3.
2*(n - 1)*(n + 2)**2/7
Suppose 5*u - 135 = 5*l, 2*l + 39 = u - 2*l. Let f = u + -17. Find i, given that -553*i**2 + i**3 - i**3 - 3*i + f*i**4 + 3*i**5 + 547*i**2 = 0.
-1, 0, 1
Let z be 2/(-12) + 141/(-1692) + (-474)/(-40). Factor -z*g - 1/5*g**2 - 841/5.
-(g + 29)**2/5
Let f(h) = -h**3 + 4*h**2 + 5*h. Let s be f(-2). Factor 10*q**2 - 2*q + s*q**2 - 8*q**5 + 26*q**4 - 15*q**2 - 30*q**3 + 5*q**2.
-2*q*(q - 1)**3*(4*q - 1)
Let b = -126/137 + 767/685. Let a(p) be the second derivative of 2/3*p**3 + 1/5*p**6 + 0*p**2 + 0 - b*p**5 - 1/2*p**4 - 33*p. Factor a(o).
2*o*(o - 1)*(o + 1)*(3*o - 2)
Let n = 2642 + -2642. Let b(y) be the second derivative of 0*y**3 - 1/24*y**6 + 0*y**5 + 0*y**2 - 6*y + n + 5/12*y**4. Factor b(l).
-5*l**2*(l - 2)*(l + 2)/4
Let g(k) be the first derivative of 3*k**4/16 - 39*k**3/4 + 225*k**2/8 - 111*k/4 - 797. Determine p, given that g(p) = 0.
1, 37
Let s(l) = 5*l + 77. Let v be s(29). Solve 40 + 214*k + 48*k**2 - 125*k**3 - 525*k + 91*k + 20*k**4 + v*k**2 = 0 for k.
1/4, 2
Let q(k) = k**2 - 2*k. Let o(v) = 56*v - v**3 - 42*v**2 - 68*v**2 + 139*v**2 + 3*v**3 - 61*v**2. Let a(u) = o(u) + 10*q(u). What is c in a(c) = 0?
0, 2, 9
Let n = 345724 + -345722. Solve -4/3*p**n + 0 - p - 1/3*p**3 = 0 for p.
-3, -1, 0
Let t = -525 + 529. Factor 14*b**4 + 7*b**2 - 5*b**3 - 3*b**2 - 13*b**t.
b**2*(b - 4)*(b - 1)
Let w = -61 - -64. Factor -25*k**w + 63*k**3 + 5*k - 19*k**3 - 24*k**3 - 5*k**2 + 5*k**4.
5*k*(k - 1)**2*(k + 1)
Let a(x) be the first derivative of x**4/66 + 5*x**3/33 + 4*x**2/11 - 109*x + 18. Let n(o) be the first derivative of a(o). Let n(s) = 0. Calculate s.
-4, -1
Let b be (-84)/(-63) + 1*75/(-90). Let 0 + b*q + q**4 - q**2 + 0*q**3 - 1/2*q**5 = 0. What is q?
-1, 0, 1
Let f(x) be the second derivative of x**6/60 + 7*x**5/20 - 9*x**4/2 - 127*x**3/6 - 133*x**2/4 + 1574*x. Solve f(r) = 0 for r.
-19, -1, 7
Let y(o) be the second derivative of o**5/10 + 97*o**4/36 - 100*o**3/9 - 6*o**2 - 13217*o. Let y(f) = 0. Calculate f.
-18, -1/6, 2
Let h be 16*29/464*(48/63*3 - -2). Solve -3/7*m**2 - h*m - 75/7 = 0.
-5
Let c be (99/12 - 8)*4*(-23 + 27). Suppose 0 + 36/5*u**2 - 36/5*u**c + 33/5*u - 3/5*u**5 - 6*u**3 = 0. What is u?
-11, -1, 0, 1
Let z = -935 + 1395. Let v = -457 + z. Factor -1/2*t**v - 1/2*t**2 + 0 + t.
-t*(t - 1)*(t + 2)/2
Let f be (24/(-204) + 65/119)*-2629. Let m = 1131 + f. Suppose -18/7*w**3 - 2/7 - 2*w - m*w**2 = 0. What is w?
-1, -1/3
Let n(q) be the third derivative of -q**8/120 - 24*q**7/175 - 26*q**6/75 + 191*q**5/75 - 43*q**4/20 - 14*q**3/3 + 2392*q**2. Suppose n(w) = 0. What is w?
-7, -5, -2/7, 1
Let b = -414 - -419. Suppose -8*s = 3*l - 10*s + 8, -b*s + 20 = 0. Factor -1/5*h**4 + 8/5*h**2 - 16/5 + 0*h + l*h**3.
-(h - 2)**2*(h + 2)**2/5
Suppose 4 = -18*o + 20*o. Let h be (88 - 97)*o/(-4). Factor -h - 1/2*n**2 + 3*n.
-(n - 3)**2/2
Let y(v) = -1. Let s(m) = -2*m. Let x(k) = s(k) - 2*y(k). Let o be x(0). Factor -n**3 + 0*n**2 - o*n**2 + 3*n**3.
2*n**2*(n - 1)
What is m in 1256/5*m**3 + 1/5*m**4 + 123836576/5*m + 9721171216/5 + 591576/5*m**2 = 0?
-314
Let k(a) be the second derivative of -2*a**4/3 - 2*a**3 - 2*a**2 + 253*a. Factor k(v).
-4*(v + 1)*(2*v + 1)
Let s(j) = 11*j**4 - 117*j**3 + 97*j**2 - 9. Let w(b) = -b**4 + b**3 + b**2 + 1. Let f(d) = s(d) + 9*w(d). Determine l so that f(l) = 0.
0, 1, 53
Let x = -28731 - -201127/7. Factor 0 + 2*r**2 - 4/7*r - 18/7*r**3 + x*r**4 - 2/7*r**5.
-2*r*(r - 2)*(r - 1)**3/7
Let r(b) be the second derivative of b**6/135 + 16*b**5/45 + 61*b**4/54 + 10*b**3/9 + 2020*b. Factor r(d).
2*d*(d + 1)**2*(d + 30)/9
Let o = -1969 - -1973. Let k(s) be the second derivative of -1/10*s**5 - 2*s + 0 + 0*s**3 + 2/15*s**6 + 0*s**2 - 1/21*s**7 + 0*s**o. Factor k(t).
-2*t**3*(t - 1)**2
What is g in -171/8*g**4 - 3/2*g**5 + 105/8*g**2 - 51/2 - 207/2*g + 285/4*g**3 = 0?
-17, -1, -1/4, 2
Suppose 5*k - 5*m - 26 = 39, -4*k + 3 = 3*m. Let d(q) be th