.
-25, -7
Let z(l) = -9*l**2 + 12*l - 19. Let p be z(-10). Let q = p - -9389/9. Factor 2/9 - q*c**3 + 4/3*c**4 - 2*c + 14/3*c**2.
2*(c - 1)**3*(6*c - 1)/9
Factor 16*p**4 - 415*p**2 - 54 - 808*p**3 + 134*p + 301*p + 5 - 77*p - 2.
(p - 51)*(p + 1)*(4*p - 1)**2
Let n be (-8400)/(-3150)*(1546/72 - (-8)/(-36)). Let -56/3*l + 0 - 2*l**3 + n*l**2 = 0. What is l?
0, 1/3, 28
Find x, given that -152*x**2 - x**3 - 7*x**3 + 68*x**2 - 8*x**3 - 15*x - 16 - 69*x = 0.
-4, -1, -1/4
Let l(b) be the third derivative of -5/12*b**4 + 0*b**3 + 1/12*b**5 + 2*b + 7*b**2 + 0. Let l(j) = 0. What is j?
0, 2
Let l be 31*245/930 - (-2)/4. Solve 0*w - l*w**2 - 2*w**4 - 80/3*w**3 + 0 = 0 for w.
-13, -1/3, 0
Suppose -5*w = 4*p - 32, -11*p - 4*w + 19 = -10*p. Factor 161*b**4 + 8*b**p + 157*b**4 + 2*b**5 - 326*b**4.
2*b**3*(b - 2)**2
Let b(k) be the third derivative of 3*k**4 + 0*k + 0 + 51*k**2 + 1/20*k**5 + 72*k**3. Suppose b(m) = 0. What is m?
-12
Factor -96 - 12*j**3 - 360*j + 16 - 12*j**3 + 4*j**3 - 5*j**3 + 195*j**2.
-5*(j - 4)**2*(5*j + 1)
Let m be 15*(-14)/(-630)*4. Let f(j) be the first derivative of -8*j + m*j**3 - 2*j**2 - 15. Factor f(z).
4*(z - 2)*(z + 1)
Solve 8*l**2 + 0*l**5 - 2*l**5 - 5*l - 11*l - 782*l**3 + 794*l**3 - 2*l**4 = 0.
-2, 0, 1, 2
Let u(d) be the third derivative of 0 - 1/72*d**5 + 13*d**2 - 25/18*d**3 + 2*d + 55/144*d**4. Factor u(f).
-5*(f - 10)*(f - 1)/6
Let q(b) be the first derivative of b**5/20 - 2*b**4/3 + 17*b**3/6 - 5*b**2 - 80*b - 50. Let a(m) be the first derivative of q(m). Solve a(p) = 0 for p.
1, 2, 5
Let q(m) = 16*m**2 - 2237*m + 2078. Let w(z) = 7*z**2 - 1119*z + 1046. Let u(y) = -6*q(y) + 13*w(y). Factor u(a).
-5*(a - 1)*(a + 226)
Let h(w) be the second derivative of -13/8*w**4 + 11/40*w**5 - 7/2*w**2 + 0 - 226*w + 41/12*w**3 + 1/60*w**6. Factor h(i).
(i - 1)**3*(i + 14)/2
Let c(v) = -v**2 + 7*v - 5. Let y = 28 - 23. Let g be c(y). What is b in 6*b**5 - b**3 + 5*b**2 + 8*b**3 - b**g + 8*b**3 + 15*b**4 = 0?
-1, 0
Let i(m) = m**3 - 11*m**2 + 15*m - 25. Let n be i(10). Suppose 5*y**3 + 6*y + n + 9*y + 5*y**4 - 25*y**3 - 30*y**2 + 5*y = 0. Calculate y.
-1, 1, 5
Let 1/5*x**2 + 0 + 668/5*x = 0. What is x?
-668, 0
Determine a, given that -226/5*a + 174/5 + 2/5*a**3 + 10*a**2 = 0.
-29, 1, 3
Suppose -5*a - 48 = -63. Let i be (18/216)/(96/18 + -5). Solve -9/4*m**a + m**5 + 0 + 1/4*m**2 + 5/4*m - i*m**4 = 0 for m.
-1, 0, 1, 5/4
Let a(m) = -10*m**2 - 52*m + 188. Let j be -18*16/4*2/12. Let o(l) = l**2 + l + 1. Let x(d) = j*o(d) - a(d). Factor x(b).
-2*(b - 10)**2
Let d(z) be the third derivative of -z**5/100 - 94*z**4/5 - 70688*z**3/5 - 31*z**2 - 2*z. Factor d(h).
-3*(h + 376)**2/5
Let m(p) be the second derivative of -35*p**4/66 - 164*p**3/11 - 28*p**2/11 - 125*p - 31. Solve m(w) = 0.
-14, -2/35
Let j(p) = -2*p**2 - 30*p + 4988. Let r be j(43). Let h(w) be the third derivative of 8/3*w**3 + 2/3*w**4 + 1/15*w**5 + 0*w + r - 9*w**2. Solve h(o) = 0.
-2
Let b(w) be the second derivative of 4/15*w**6 - 7/20*w**5 - 1/42*w**7 + 0*w**2 - 42 + 2*w + 0*w**3 + 0*w**4. Let b(a) = 0. Calculate a.
0, 1, 7
Let g(r) be the second derivative of -r**7/336 + 7*r**6/120 - r**5/16 - 5*r**4/12 + 11*r**3/48 + 13*r**2/8 - 1232*r. Find a, given that g(a) = 0.
-1, 1, 2, 13
Suppose 2*i - 4*i + 5*x + 29 = 0, 46 = 3*i - 5*x. Factor -4*h**4 + 81*h + 92*h**2 + 40*h**3 - i*h + 14*h - 30*h.
-4*h*(h - 12)*(h + 1)**2
Let c = -431 + 433. Factor 388 + 460*y - 93 + 130*y**c + 5*y**3 - 65 + 210.
5*(y + 2)**2*(y + 22)
Let a(p) be the second derivative of 1/15*p**6 - 3/5*p**5 - 7 + 4/3*p**4 + 2*p**3 - 9*p**2 - p. Suppose a(b) = 0. What is b?
-1, 1, 3
Factor -4/5*r**2 + 176/5 + 28/5*r.
-4*(r - 11)*(r + 4)/5
Let o(g) be the third derivative of -g**5/72 - 265*g**4/18 - 56180*g**3/9 - 427*g**2. Factor o(n).
-5*(n + 212)**2/6
Let t(o) be the second derivative of 0*o**3 + 10*o**2 - 1/240*o**5 + 22*o + 1/96*o**4 + 0. Let a(f) be the first derivative of t(f). Factor a(j).
-j*(j - 1)/4
Solve -2/5*t**3 - 168/5*t**2 + 2/5*t + 168/5 = 0.
-84, -1, 1
Let z(j) be the first derivative of -j**4/44 + 27*j**3/11 + 168*j**2/11 + 340*j/11 - 1110. Suppose z(o) = 0. Calculate o.
-2, 85
Let h(v) be the first derivative of v**4/2 + 476*v**3/3 + 14161*v**2 - 1651. Find c such that h(c) = 0.
-119, 0
Suppose -4*t + 13 + 67 = -5*z, -3*t = 2*z - 37. Factor -40*i**4 + 4 + 49*i**4 - 3*i**2 - t*i + 15*i**3 - 3 - 7.
3*(i - 1)*(i + 1)**2*(3*i + 2)
Let h be ((-1)/(-3))/((-2)/(-2))*795. Let s = h + -260. Let 2/5*l - 4/5*l**2 + 0*l**3 + 4/5*l**4 + 0 - 2/5*l**s = 0. What is l?
-1, 0, 1
Let g(w) be the second derivative of -5*w**4/36 - 35*w**3/9 + 60*w**2 + w - 246. Find s such that g(s) = 0.
-18, 4
Let x = 1327435/7 + -189629. Factor -36/7 + x*h + 4/7*h**2.
4*(h - 1)*(h + 9)/7
Let s(l) be the first derivative of -2*l**3/21 + 72*l**2/7 - 130*l - 6356. Solve s(m) = 0.
7, 65
Let k(c) be the first derivative of c**3/21 + 2*c**2 - 93*c/7 - 1491. Factor k(h).
(h - 3)*(h + 31)/7
Determine p so that 3*p + 4810565 - 4810565 - p**2 = 0.
0, 3
Let v = -271/100 + 511/100. Factor 0*j**4 + 0*j - 16/5*j**2 + 0 - v*j**3 + 1/5*j**5.
j**2*(j - 4)*(j + 2)**2/5
Let d(z) be the second derivative of -z**5/4 + 115*z**4/6 - 2436*z - 2. Factor d(o).
-5*o**2*(o - 46)
Let o be ((-6)/(-6) - 6) + 7. Factor -4543*j**5 + 4539*j**5 + 10*j**3 + o*j**3 + 8*j**4.
-4*j**3*(j - 3)*(j + 1)
Let p(n) = -4*n + 26. Let d be p(12). Let k = d - -24. Find m such that -144*m**2 - 1 + 4*m + 146*m**k - 5 = 0.
-3, 1
Let w(a) = -5*a**2 + a - 8. Let v(m) = -14*m - 22 + 0*m - 14*m**2 + 16*m. Let b(t) = -6*v(t) + 17*w(t). Determine d so that b(d) = 0.
1, 4
Let p(d) = 29*d**2 + 2440*d + 117. Let m(y) = -7*y**2 - 610*y - 26. Let o(c) = -9*m(c) - 2*p(c). Solve o(b) = 0.
-122, 0
Let h = -601 + 713. Factor 12*a**3 + a**3 - 22*a - 27*a - h*a**2 - 31*a - a**3.
4*a*(a - 10)*(3*a + 2)
Solve -2165*f**2 + 1818 - 5*f**4 + 59*f**3 + 345*f - 404*f**3 + 352 = 0 for f.
-62, -7, -1, 1
Let t = 20 - 437/22. Let r(v) be the second derivative of 0 - 3/110*v**5 + t*v**4 + 13*v + 0*v**2 - 2/11*v**3. What is d in r(d) = 0?
0, 1, 2
Let c(l) be the first derivative of l**3/21 - 369*l**2/14 + 2702. Factor c(g).
g*(g - 369)/7
Let y(n) be the second derivative of 14/15*n**4 - 1 + 3/50*n**6 - 1/210*n**7 - 47*n + 8/5*n**2 - 8/5*n**3 - 8/25*n**5. Factor y(a).
-(a - 2)**4*(a - 1)/5
Suppose 0 = -k, 3250 = -5*o + 11*k - 7*k. Let v be (4/(-5) + 2)*o/(-390). Factor 0 + 1/4*n**4 - 1/4*n**3 + 0*n - 1/2*n**v.
n**2*(n - 2)*(n + 1)/4
Let i(w) be the second derivative of w**5/15 + 13*w**4/2 + 580*w**3/3 + 841*w**2/3 + 11542*w. Suppose i(q) = 0. Calculate q.
-29, -1/2
Let r(m) = -351*m - 699. Let h be r(-2). Let q(z) be the third derivative of 0*z**h + 0*z + 0*z**4 + 1/60*z**5 - 23*z**2 + 0. Factor q(y).
y**2
Let v(l) be the third derivative of l**6/40 + 107*l**5/5 + 11449*l**4/2 - 4*l**2 + 18. Determine r so that v(r) = 0.
-214, 0
Let k be 105/(-6)*(-44)/(-55). Let m(d) = 7*d + 101. Let z be m(k). Factor -a**2 + 1/4*a**5 + 1/4*a + 3/2*a**z - a**4 + 0.
a*(a - 1)**4/4
Let x(h) = 6*h**3 + 133*h**2 + 352*h + 76. Let w(n) = -2*n**3 - 45*n**2 - 118*n - 24. Let j(q) = -19*w(q) - 6*x(q). Suppose j(t) = 0. What is t?
-26, -5/2, 0
Let m = -8649888309/11636449012 + -1/9680906. Let k = 4/601 - m. Factor -3/8*b**4 - k*b**3 - 3/8*b**2 + 0*b + 0.
-3*b**2*(b + 1)**2/8
Let q(p) be the first derivative of -5/6*p**3 + 5/2*p + 15/8*p**4 - 15/4*p**2 - 56. Suppose q(d) = 0. Calculate d.
-1, 1/3, 1
Suppose -2420000/7 - 2/7*z**2 + 4400/7*z = 0. What is z?
1100
Let j(d) be the third derivative of d**6/60 - 667*d**5/5 + 444889*d**4 - 2373927704*d**3/3 - 1691*d**2. Factor j(m).
2*(m - 1334)**3
Let m(c) be the first derivative of c**6/12 + 2*c**5/5 - c**4/4 - 2*c**3 + 9*c**2/4 - 859. Factor m(y).
y*(y - 1)**2*(y + 3)**2/2
Let c(y) be the second derivative of -y**5/20 - 19*y**4 - 2166*y**3 - 2919*y. Suppose c(w) = 0. Calculate w.
-114, 0
Suppose -56*x = -9*u - 61*x + 25, 0 = 4*x - 20. Let n(r) be the second derivative of -8/9*r**3 + 7*r + 1/9*r**4 + 2*r**2 + u. Determine y so that n(y) = 0.
1, 3
Suppose -10*m**2 + 386 + 861*m + 574 + 474*m - 5*m**2 - 387*m - 3*m**3 = 0. What is m?
-20, -1, 16
Let x be (1 - 25/57) + ((-8)/(-14))/((-42978)/(-7917)). Let 4/9*w - 2/9*w**3 + 0 - 2/3*w**4 + x*w**2 - 2/9*w**5 = 0. Calculate w.
-2, -1, 0, 1
Let h(d