2*a = 0 for a.
-6, -1, -1/4, 1
Suppose 140 = 5*k - 8*u + 13*u, -4*u + 84 = 3*k. Let m be 2032/28 - 16/k. Let -36*l + m*l**3 + 15/2 + 27/2*l**4 + 15*l**2 = 0. What is l?
-5, -1, 1/3
Solve 1/2*p**2 + 0*p - 1/2 = 0.
-1, 1
Let u(n) be the third derivative of n + 0*n**5 + 5*n**2 + 0*n**3 + 0 + 1/112*n**8 - 1/20*n**6 + 1/8*n**4 + 0*n**7. Factor u(v).
3*v*(v - 1)**2*(v + 1)**2
Suppose 0 = 2*y - b - 5, -y + 5*b = 98 - 105. Let t(n) be the first derivative of -4/3*n**3 + 13 - 16*n**y - 64*n. Find f, given that t(f) = 0.
-4
Let x(t) = t**3 + 6*t**2 - 9*t + 1. Let l be x(-7). Suppose 4*k = c - l, -2*c + 12 = -3*c - 5*k. Factor -c*i**2 + 0*i**2 + 29*i - 11*i - 15.
-3*(i - 5)*(i - 1)
Let c(g) be the first derivative of g**5 - 145*g**4/4 + 541. Factor c(h).
5*h**3*(h - 29)
Suppose -118*n + 107*n - 792 = 0. Let m be 4/(-18) + (-352)/n. Suppose 0 + 2*j - 2/3*j**4 - m*j**2 + 10/3*j**3 = 0. What is j?
0, 1, 3
Let k(d) be the first derivative of -d**5/25 - 17*d**4/4 - 83*d**3/5 - 247*d**2/10 - 82*d/5 - 1126. Solve k(c) = 0.
-82, -1
Factor -17*j**4 + 141*j**3 + 21*j**4 - 23*j**2 - 129*j**3 + 112*j - 50*j**2 - 23*j**2.
4*j*(j - 2)**2*(j + 7)
Let y be (-182)/(-56)*(-14)/(-49)*14. Let s(k) be the third derivative of -5/18*k**3 - 7/180*k**5 + 0 + 0*k + 11/72*k**4 + y*k**2 + 1/360*k**6. Factor s(x).
(x - 5)*(x - 1)**2/3
Let t(i) be the third derivative of 0*i - 1/360*i**6 + 0 + 0*i**5 + 159*i**2 + 0*i**3 + 1/72*i**4. Factor t(n).
-n*(n - 1)*(n + 1)/3
Suppose -4*d + 22 = s, -2*s = 36*d - 38*d + 6. Let q(o) be the first derivative of -1/22*o**4 + 0*o**3 - 2/55*o**d + 16 + 0*o + 0*o**2. What is c in q(c) = 0?
-1, 0
Let l(t) be the second derivative of t**6/60 - 313*t**5/40 + 5559*t**4/4 - 106641*t**3 + 1857114*t**2 - 4*t + 370. Determine w so that l(w) = 0.
7, 102
Let z be (-4)/16 - 6*22/(-16). Factor -11*k - 8 + z - 59*k + 5*k**2.
5*k*(k - 14)
Determine m, given that 276/11*m - 560/11 + 2/11*m**2 = 0.
-140, 2
Let h(v) = -v**3 - v**2 + v + 3. Let d(s) = 4*s**3 - 76*s**2 - 41*s + 9. Let w(a) = -4*d(a) + 12*h(a). Factor w(f).
-4*f*(f - 11)*(7*f + 4)
Let l = 556297/3 - 185423. Let 148/3*u - 184/3*u**2 + 16/3*u**4 + 16 - l*u**3 = 0. Calculate u.
-3, -1/4, 1, 4
Let n(z) be the second derivative of 1/72*z**4 - 2 + 64/3*z**2 - 8/9*z**3 - 4*z. Factor n(l).
(l - 16)**2/6
Suppose 75*j - 15 - 8 + 3 + 20 = 0. Factor j + 2/3*y - 2/3*y**3 + 0*y**2.
-2*y*(y - 1)*(y + 1)/3
Let z be -3 + 936/(-36) - -32. Find r, given that 0 + 0*r + 2/11*r**5 + 30/11*r**z + 14/11*r**2 + 18/11*r**4 = 0.
-7, -1, 0
Let d(f) = -3145*f + 493767. Let y be d(157). Solve 3/2*c**y - 21/2 + 9*c = 0.
-7, 1
Solve 2*a**3 - 7*a**2 - 416*a + 20034 - 20474 + 33*a**2 = 0.
-22, -1, 10
Suppose -19 + 2455*g - 12 + 1369*g**3 - 19 + 524*g**3 + 462*g**3 - 4760*g**2 = 0. Calculate g.
10/471, 1
Let q(g) be the second derivative of 7*g**5/15 + 103*g**4/6 - 20*g**3 - 181*g**2/2 + 2*g + 36. Let o(z) be the first derivative of q(z). Factor o(d).
4*(d + 15)*(7*d - 2)
Let n = -841 - -490. Let c be 3/2*(-156)/n. Factor 0*r**2 + 0 + c*r**3 + 0*r.
2*r**3/3
Determine y, given that 3716 - 303*y**4 + 6*y**3 + 216*y + 117*y**2 + 300*y**4 - 3716 = 0.
-3, 0, 8
Factor 4*c - 4/7*c**3 + 40/7 - 16/7*c**2.
-4*(c - 2)*(c + 1)*(c + 5)/7
Let i(z) = -11*z + 21. Let u be i(1). Find n, given that -24*n + 8 + 4*n**2 - 16*n + u + 19 + 27 = 0.
2, 8
Let t = 111247/9 - 12359. Let m be (1/9)/((-1)/(-2)). Let m*y**2 - t - 4/9*y = 0. Calculate y.
-2, 4
Suppose -2*f + 30 = 3*f - p, 4*p + 12 = 2*f. Find a such that 17*a - 17*a - f*a**5 + 8*a**5 - 2*a**4 = 0.
0, 1
Let s = 143/321 - 12/107. Let i(t) = -8*t + 27. Let u be i(3). Factor j**2 + 1/3 - j - s*j**u.
-(j - 1)**3/3
Let x(t) be the second derivative of -3/2*t**3 - 1/48*t**4 + 70 - 17/2*t**2 + 2*t. Determine h so that x(h) = 0.
-34, -2
Let p(m) be the first derivative of 44*m**5/5 - 25*m**4 - 40*m**3 + 200*m**2 - 224*m + 871. What is h in p(h) = 0?
-2, 1, 14/11, 2
Let z be 432/(-54) + 2084/2. Let p = z - 1032. Factor 4/7*q**p + 0*q - 16/7.
4*(q - 2)*(q + 2)/7
What is n in -44*n**4 + 10*n**4 + 12*n + 6*n**3 + 18*n**4 + 13*n**2 + 13*n**4 + 4 + 4*n**4 = 0?
-2, -1
Determine s, given that 24640/13*s + 2/13*s**3 + 25088/13 - 446/13*s**2 = 0.
-1, 112
Suppose -3*a + 6 + 16 = -5*y, -14 = -5*a - 3*y. Factor -2*j**2 + 9*j**2 - j**3 - 4 - a*j**2.
-(j - 2)**2*(j + 1)
Let c(w) be the third derivative of -w**10/756000 + w**9/37800 - w**8/14400 - w**5/30 - w**2 + 7*w. Let q(b) be the third derivative of c(b). Factor q(h).
-h**2*(h - 7)*(h - 1)/5
Factor 0 - 1035/4*h - 3/4*h**3 - 519/2*h**2.
-3*h*(h + 1)*(h + 345)/4
Let d = 553 + -1048. Let b be 33/d*(-17 + -1). Factor 0*l + 2/5*l**4 + b*l**3 + 4/5*l**2 + 0.
2*l**2*(l + 1)*(l + 2)/5
Let r(u) = 5*u - 18. Let f be r(8). Let b = -19 + f. Determine m so that 2*m**3 - 2*m**3 - 9*m**2 + 3*m + 9*m**4 - 6*m**3 + b*m**3 = 0.
-1, 0, 1/3, 1
Let b(u) be the second derivative of -u**5/20 - 197*u**4/12 - 9991*u**3/6 - 28227*u**2/2 - 4*u - 13. Factor b(s).
-(s + 3)*(s + 97)**2
Let d(o) = -o**2 - 11*o - 2. Let s(j) = -4185*j**2 - 13700*j - 11480. Let k(y) = -20*d(y) - s(y). Find v such that k(v) = 0.
-48/29
Solve 245*z**2 + 198 + 165*z - 68*z - 246*z**2 = 0 for z.
-2, 99
Let j(b) be the first derivative of 3/5*b**5 - 9*b**4 + 126*b**2 + 147*b + 22*b**3 - 6. Factor j(p).
3*(p - 7)**2*(p + 1)**2
Find q, given that -676/3*q**3 - 164/3*q + 0 - 824/3*q**2 - 16/3*q**4 = 0.
-41, -1, -1/4, 0
Let h(l) be the second derivative of -l**7/105 + 71*l**6/75 - 27*l**5/10 - 69*l**4/10 + 42*l. Let h(s) = 0. Calculate s.
-1, 0, 3, 69
Factor 197/2*r**2 + 28227/2 - 9991/2*r - 1/2*r**3.
-(r - 97)**2*(r - 3)/2
Let t(n) be the first derivative of 9/5*n**5 + 21*n**3 + 0*n + 57/4*n**4 + 15/2*n**2 + 14. Factor t(k).
3*k*(k + 1)*(k + 5)*(3*k + 1)
Let n(q) be the second derivative of 3/20*q**5 + 0 + 15*q**2 + 21/2*q**3 - 26*q + 3*q**4. Factor n(c).
3*(c + 1)**2*(c + 10)
Let t(l) be the second derivative of 1/330*l**5 - 32*l - 18*l**2 - 7/132*l**4 + 0 - 8/33*l**3. Let x(d) be the first derivative of t(d). Factor x(i).
2*(i - 8)*(i + 1)/11
Let s(y) be the first derivative of 32/5*y - 181 + 8/5*y**2 + 2/15*y**3. Factor s(r).
2*(r + 4)**2/5
Let m(h) be the second derivative of -h**5/130 - h**4/78 + 3*h**3/13 + 9*h**2/13 - 574*h - 1. Factor m(w).
-2*(w - 3)*(w + 1)*(w + 3)/13
Let m(j) be the first derivative of j**4/2 + 80*j**3/3 + 308*j**2 - 3872*j + 1486. Factor m(q).
2*(q - 4)*(q + 22)**2
Let o(k) be the first derivative of k**3/3 + 10*k**2 - 13*k + 63. Let z(h) = 3*h**2 + 42*h - 27. Let s(j) = 9*o(j) - 4*z(j). Suppose s(v) = 0. Calculate v.
1, 3
Let d(z) = z**3 - 8*z**2 + 2*z - 16. Let w be d(8). Suppose n + 1 = 4*v - 6, v - n + 2 = w. Let 39 - 4*p**2 - 18 + 43*p + 30*p**2 - 11 - 7*p**v = 0. What is p?
-1, -2/7, 5
Let u be (12 - 0) + 7/(-1). Let c(r) be the third derivative of -3*r**2 + 7/360*r**u - 1/144*r**6 + 0*r + 0*r**3 + 0 - 1/72*r**4. Factor c(t).
-t*(t - 1)*(5*t - 2)/6
Let y(o) be the third derivative of -o**5/190 + 11*o**4/57 - 145*o**3/57 - 12971*o**2. Suppose y(p) = 0. Calculate p.
5, 29/3
Let h(v) be the third derivative of -v**8/2016 + v**6/240 + v**5/180 - 3630*v**2. Factor h(j).
-j**2*(j - 2)*(j + 1)**2/6
Let s(i) = -5*i**4 + 403*i**3 + 1607*i**2 + 2007*i + 800. Let q(a) = 23*a**4 - 1611*a**3 - 6427*a**2 - 8028*a - 3199. Let k(r) = -2*q(r) - 9*s(r). Factor k(z).
-(z + 1)**2*(z + 2)*(z + 401)
Let p(s) be the second derivative of s**5/20 + 31*s**4/12 + 43*s**3/3 + 28*s**2 + 1179*s. Factor p(g).
(g + 1)*(g + 2)*(g + 28)
Let k(v) be the second derivative of 7*v**6/30 - 233*v**5/15 - 3607*v**4/36 - 109*v**3 - 48*v**2 + 10*v - 27. Let k(z) = 0. What is z?
-3, -1/3, -2/7, 48
Let i(z) be the second derivative of -11/80*z**5 - 13/32*z**4 + 29/2*z**2 - 15*z + 0 - 1/4*z**3. Let k(m) be the first derivative of i(m). Solve k(o) = 0.
-1, -2/11
Let m be ((-3542)/35 - -4)/(-161). Let x = m - 3/805. Let 3/5*y**4 + 0 + 0*y + 3/5*y**5 - 3/5*y**2 - x*y**3 = 0. Calculate y.
-1, 0, 1
Let d = -423 - -448. Suppose 0 = 27*r - d*r - 8. Solve 8/5*t**2 - 8/5*t**r + 4/5*t**5 - 4/5*t**3 + 0*t + 0 = 0.
-1, 0, 1, 2
Suppose 42*j + 2/5*j**2 + 612/5 = 0. Calculate j.
-102, -3
Let p(w) be the second derivative of 1/38*w**4 + 44 - 1/57*w**3 + 2*w + 1/190*w**5 - 3/19*w**2. Find n such that p(n) = 0.
-3, -1, 1
Let n = -14 + 12. Let v be (n/1)