x - 4 = 0, -5*x - 26 = 3*t - 25. Suppose 21/5*q**2 + 0 - 21/5*q**4 + 6/5*q + 3/5*q**t - 9/5*q**5 = 0. Calculate q.
-2, -1, -1/3, 0, 1
Suppose 9*y - 6*y - 81 = 0. Suppose -10*i = -13 - y. Factor 2/15*w**i + 8/15*w**3 + 0 + 0*w + 8/15*w**2.
2*w**2*(w + 2)**2/15
Let z(i) be the first derivative of i**4/12 + i**3/3 - i**2/6 - i - 55. Factor z(n).
(n - 1)*(n + 1)*(n + 3)/3
Let s(q) be the third derivative of -q**5/24 - 133*q**4/48 + 9*q**3/2 + 18*q**2. Let s(d) = 0. What is d?
-27, 2/5
Suppose -5*j - 12 = -5*m - 8*j, 5*j = m + 20. Let y(n) be the second derivative of -1/75*n**6 + m*n**3 + 4*n + 0*n**2 + 0 + 1/25*n**5 - 1/30*n**4. Factor y(i).
-2*i**2*(i - 1)**2/5
Let g(k) be the third derivative of -k**5/510 + k**4/34 - 3*k**3/17 - 2*k**2 + 6. Factor g(o).
-2*(o - 3)**2/17
Let v(r) be the second derivative of r**6/90 + r**5/30 - 3*r**3/2 - 13*r. Let d(z) be the second derivative of v(z). Solve d(p) = 0 for p.
-1, 0
Let p(d) = 3*d**5 + 4*d**4 - 5*d**3 - 6*d**2 + 4*d + 12. Let o(y) = -y**5 + y**3 - y**2 - 1. Let u(c) = 12*o(c) + 3*p(c). Factor u(f).
-3*(f - 2)**3*(f + 1)**2
Let n be (-330)/1485 - 76/(-18). Factor -2/3*i**2 + 0 - 1/3*i**n - i**3 + 0*i.
-i**2*(i + 1)*(i + 2)/3
Let t(j) = 3*j**3 + 14*j**2 - 35*j - 147. Let h be t(-5). Suppose 0 - 1/5*l + 1/10*l**h + 1/10*l**2 = 0. Calculate l.
-2, 0, 1
Let r(x) = 5*x**3 - 10*x - 2. Let q(a) = -66*a**3 + 129*a + 27. Let m(d) = -2*q(d) - 27*r(d). Factor m(j).
-3*j*(j - 2)*(j + 2)
Let m(k) be the second derivative of k**5/30 + 5*k**4/9 + 7*k**3/3 - 240*k. Factor m(b).
2*b*(b + 3)*(b + 7)/3
Factor -11*v**4 - 69*v**5 - 15*v**2 + 33*v**3 + 72*v**5 - 10*v**4.
3*v**2*(v - 5)*(v - 1)**2
Let 236*f**5 + f - 112*f**2 - 280*f**4 + 15*f + 302*f**5 - 438*f**5 + 276*f**3 = 0. Calculate f.
0, 2/5, 1
Let h(g) = 12*g + 14. Let k be h(-3). Let n = k + 24. Let 4/7 - 6/7*m + 2/7*m**n = 0. What is m?
1, 2
Let g(i) = 3 + 1 + 54*i + 3*i**2 - 61*i. Let j(a) = 16*a**2 - 35*a + 19. Let f(u) = 11*g(u) - 2*j(u). Determine n so that f(n) = 0.
1, 6
Let 104/5*l**3 + 96/5 - 344/5*l + 132/5*l**2 + 12/5*l**4 = 0. What is l?
-6, -4, 1/3, 1
Let p = 3 + -5. Let k(v) = 7*v**2 - 11*v - 1. Let a(d) = -d + 3*d**2 + 0*d - 4*d. Let h(f) = p*k(f) + 5*a(f). Let h(n) = 0. Calculate n.
1, 2
Let i(o) be the first derivative of 4*o**5/5 + 27*o**4 + 196*o**3/3 - 54*o**2 - 200*o - 122. Suppose i(m) = 0. Calculate m.
-25, -2, -1, 1
Let i = 10 + -11. Let g = 9 - i. Suppose 9*w - g*w + w**2 - 3*w**2 - w**5 + 1 + 2*w**3 + w**4 = 0. What is w?
-1, 1
Determine q, given that -140/3*q - 2/3*q**2 - 46 = 0.
-69, -1
Let -448*t + 132*t**2 + 256 + t**4 - 4*t**4 + 56*t**3 + 7*t**4 + 0*t**4 = 0. Calculate t.
-8, 1
Let i(j) = -2*j - 15. Let z be i(-9). Determine s, given that -s**3 + 4*s**z - 2*s + 8*s - 9*s**2 = 0.
0, 1, 2
Factor 12/7*k**4 - 8/7*k + 24/7*k**2 - 26/7*k**3 - 2/7*k**5 + 0.
-2*k*(k - 2)**2*(k - 1)**2/7
Let i(h) be the third derivative of -h**5/80 - 109*h**4/16 - 11881*h**3/8 + 4*h**2 + 4. Factor i(m).
-3*(m + 109)**2/4
Let f(n) be the third derivative of -n**9/52920 + n**7/2940 + n**6/1260 + 7*n**4/24 - 11*n**2. Let x(y) be the second derivative of f(y). Factor x(p).
-2*p*(p - 2)*(p + 1)**2/7
Let u(x) = -54*x**2 - 4*x + 3. Let n be u(1). Let t = -50 - n. Factor -2*c**3 + 0*c - 4/3*c**2 + 0 + 2/3*c**t + 0*c**4.
2*c**2*(c - 2)*(c + 1)**2/3
Suppose 0 = 5*x + 4*x - 918. Let j be (x/(-22) + 4)*(-6)/7. Factor -6/11*z**2 + 0 - 2/11*z - j*z**3 - 2/11*z**4.
-2*z*(z + 1)**3/11
Let f(k) be the first derivative of -2*k**3/39 + 60*k**2/13 - 1800*k/13 - 132. Factor f(h).
-2*(h - 30)**2/13
Let p(m) be the second derivative of m**4/90 - 17*m**3/45 + 22*m**2/5 + 3*m - 271. Let p(j) = 0. Calculate j.
6, 11
Let o = -92 - -647/7. Let h(g) be the first derivative of 1/21*g**6 + 1/7*g**2 - 1 + 0*g - 8/21*g**3 + o*g**4 - 8/35*g**5. Factor h(y).
2*y*(y - 1)**4/7
Let l be (44/6 - 4)*6/35. Let t(x) be the second derivative of 0 - l*x**3 - x + 1/7*x**4 + 8/7*x**2 - 1/70*x**5. Find k such that t(k) = 0.
2
Let h(v) be the second derivative of v**6/21 - 4*v**5/35 - 3*v**4/14 + 8*v**3/21 + 4*v**2/7 - 60*v. Solve h(a) = 0 for a.
-1, -2/5, 1, 2
Suppose 7/2*n**2 + 15/2*n - 7/2*n**3 + 1/2*n**4 + 0 = 0. What is n?
-1, 0, 3, 5
Let r(i) be the second derivative of i + 0*i**4 - 1/540*i**6 + 1/3*i**3 + 0 + 0*i**2 + 0*i**5. Let t(s) be the second derivative of r(s). Factor t(x).
-2*x**2/3
Let o(y) be the second derivative of -y**5/10 + 5*y**4/8 + y**3/3 - 234*y. Solve o(g) = 0 for g.
-1/4, 0, 4
Let g(r) be the first derivative of -49*r**7/30 + 98*r**6/15 - 56*r**5/5 + 32*r**4/3 - r**3/3 + 12. Let a(h) be the third derivative of g(h). Factor a(l).
-4*(7*l - 4)**3
Let g(y) be the first derivative of -2*y**3/39 - 336*y**2/13 - 56448*y/13 - 25. Factor g(x).
-2*(x + 168)**2/13
Suppose 0 = 11*k - 3 - 52. Let a be -6*(-3)/18*2. Find r, given that -4 + 511*r + 20*r**3 + 65*r**4 + 2*r**3 - 61*r**a - 483*r - 50*r**k = 0.
-1, 2/5, 1/2, 1
Let x be ((-1)/(28/18))/((-1188)/2772). Factor 0 - 3/2*l + x*l**2 - 3/8*l**3.
-3*l*(l - 2)**2/8
Suppose 26*z = 21*z + 40. Let n(u) be the first derivative of -z*u**2 + u**4 + 12 + 2/15*u**5 + 2/9*u**3 + 32/3*u. Suppose n(k) = 0. Calculate k.
-4, 1
Find j, given that -7*j + 3 - 19*j - 4 - j**2 + 24*j = 0.
-1
What is y in 0*y**2 + 6/5*y**3 - 8/5*y + 2/5*y**4 + 0 = 0?
-2, 0, 1
Let y(z) be the second derivative of z**4/6 + 5*z**3/3 + 4*z**2 + 88*z. Suppose y(b) = 0. What is b?
-4, -1
Let u(y) be the first derivative of 5*y**4/4 + 5*y**3 - 25*y**2 + 44. Factor u(x).
5*x*(x - 2)*(x + 5)
Suppose -w = -2*z + 142 - 152, -5*z = -2*w + 24. Let -2/5*o + 2/5*o**3 - 6/5 + 6/5*o**w = 0. Calculate o.
-3, -1, 1
Let g(k) be the third derivative of 0*k + 1/360*k**5 + 49/9*k**3 - 10 - 2*k**2 + 7/36*k**4. Find q such that g(q) = 0.
-14
Suppose 0 = f - 3*k + 6 - 18, 3*k + 9 = 0. Let j be f/(-14)*(-84)/72. Factor 0*t**3 + 3/4*t**5 + 0*t**2 + 0*t - j*t**4 + 0.
t**4*(3*t - 1)/4
Let x be 1*((-3)/(-1) + -1). Suppose -7 - 9 = -4*d. Suppose -11 - d + x + 1 + 24*v + 15*v**2 = 0. Calculate v.
-2, 2/5
Let j(p) = p**3 - 2*p**2 + p + 2. Let f be j(2). Factor 14*m + 132*m**2 - 38*m + 20*m**4 + 12 - 88*m**3 + f - 56*m.
4*(m - 2)*(m - 1)**2*(5*m - 2)
Let w(n) be the first derivative of -n**3/3 - 2*n**2 - 4*n - 117. Find o, given that w(o) = 0.
-2
Factor 13*f**2 + 1/5*f**3 - 13 - 1/5*f.
(f - 1)*(f + 1)*(f + 65)/5
Suppose 3*z - 17 = -4*u + 18, -35 = -2*z - 5*u. Determine v, given that 226*v**2 - 68*v**3 - 121 - 199 + z*v**4 + 13*v**3 - 80*v - 46*v**2 = 0.
-1, 4
Factor -2 + 12/7*f + 2/7*f**2.
2*(f - 1)*(f + 7)/7
Let x(z) = -28*z**2 + 34*z - 11. Let m(j) = 28*j**2 - 36*j + 12. Let u(q) = -5*m(q) - 4*x(q). Factor u(r).
-4*(r - 1)*(7*r - 4)
Let o be -2 - 14/3*6/(-4). Let k = -10 - -14. Factor o*c - k*c - c**2 + 0*c**2 + 2.
-(c - 2)*(c + 1)
Let m(v) = -12*v**4 - 108*v**3 - 259*v**2 - 235*v - 65. Let z(g) = -20*g**4 - 180*g**3 - 432*g**2 - 392*g - 108. Let s(d) = -12*m(d) + 7*z(d). Factor s(p).
4*(p + 1)**3*(p + 6)
Suppose -1 + 0*q**3 + 8*q + 3*q**3 - q**2 - 5*q**3 - 4 = 0. Calculate q.
-5/2, 1
Suppose -d = -5*p - 23, -4*p = -2*d - 1 + 17. Let b be d/7 + 74/14. Solve -8*s**2 + 3*s + b*s**2 - 3*s**3 + 6*s**2 - 3 = 0.
-1, 1
Let n(i) be the second derivative of -i**6/10 - 3*i**5/5 + 3*i**4/4 + 5*i**3 - 12*i**2 + 149*i. Solve n(k) = 0 for k.
-4, -2, 1
Factor 45/4 - 5/4*q**2 + 10*q.
-5*(q - 9)*(q + 1)/4
Let o be (-1 + 3)*(-60)/(-40). Let r(d) = 7*d + 3. Let z be r(1). Factor -8/5 + 48/5*u - 18*u**2 + z*u**o.
2*(u - 1)*(5*u - 2)**2/5
Let n(l) = -l**3 + 11*l**2 - 9*l - 6. Let i be n(10). Let c be (-15)/6*((-36)/(-40) - 1). Factor 7/4*r**2 + 5/4*r**i - c*r**5 - 1/2*r - 9/4*r**3 + 0.
-r*(r - 2)*(r - 1)**3/4
Let j(y) be the first derivative of 2*y**6/3 + 104*y**5/5 + 49*y**4 + 32*y**3 + 344. Factor j(u).
4*u**2*(u + 1)**2*(u + 24)
Suppose 29*l - 25*l = 112. Factor -l*p + 2*p**2 + 29*p + p**2 - 2 + 3*p**2.
(2*p - 1)*(3*p + 2)
Let q**4 + 88*q + 25*q**3 - 6*q**3 - 7*q**3 + 51*q**2 + 48 = 0. Calculate q.
-4, -3, -1
Let q(o) = -4*o**5 + 2*o**4 - 4*o**3 - 2. Let z(w) = 5*w**5 - w**4 + 6*w**3 + 3. Let f(l) = -3*q(l) - 2*z(l). Let f(c) = 0. What is c?
0, 2
Let y(w) = -w**3 + 11*w**2 - 11*w + 14. Let i be y(10). Let b(c) = -c + 2*c + 2 + 3*c**2 - 2. Let l(q) = 6*q**2 + q. Let r(d) = i*l(d) - 7*b(d). Factor r(v).
3*v*(v - 1)
Factor 8