 0. Calculate h.
0, 1
Let s(j) = -3*j**2 + 12*j - 12. Let q(h) = 4*h**2 - h. Let y(n) = q(n) + s(n). Suppose y(l) = 0. Calculate l.
-12, 1
Let g(i) be the second derivative of -1/12*i**3 - 1/24*i**7 + 7*i + 0 + 0*i**2 + 9/80*i**5 + 1/24*i**6 - 5/48*i**4. Solve g(m) = 0 for m.
-1, -2/7, 0, 1
Let i(x) be the third derivative of -x**8/336 - x**7/30 - x**6/8 - 13*x**5/60 - x**4/6 - 126*x**2. Suppose i(o) = 0. Calculate o.
-4, -1, 0
Suppose -443 = c - 450, -4*s + 3*c - 21 = 0. Factor s - 1/7*u**2 + 0*u.
-u**2/7
Let n(p) be the first derivative of p**6/21 + 2*p**5/5 - 27*p**4/14 + 58*p**3/21 - 10*p**2/7 - 266. Factor n(c).
2*c*(c - 1)**3*(c + 10)/7
Let w(a) be the second derivative of -1/24*a**5 + 5/24*a**4 + a + 5/4*a**3 + 0 + 6*a**2. Let f(t) be the first derivative of w(t). Factor f(p).
-5*(p - 3)*(p + 1)/2
Suppose 0*o = -2*o - 12. Let y be (-2)/o + 2/3. Factor -6 - r + y + r**3 + 5.
r*(r - 1)*(r + 1)
Let w(b) be the first derivative of -3*b**5 + 18*b**4 - 33*b**3 + 21*b**2 + 459. Let w(a) = 0. Calculate a.
0, 1, 14/5
What is o in 2/7*o**4 + 676/7 - 130*o + 46/7*o**3 + 186/7*o**2 = 0?
-13, 1, 2
Suppose 62*a - 35 - 89 = 0. Let m(j) be the first derivative of -9 + 8/9*j**a + 1/18*j**4 - 10/27*j**3 - 8/9*j. Determine o so that m(o) = 0.
1, 2
Let w be 0*((-4)/10 - (-1118)/1720). Factor 2/7*v**3 - 12/7*v**2 + 18/7*v + w.
2*v*(v - 3)**2/7
Let j be (-148)/(-1850) + (-26)/(-300). Factor 0*z + j*z**4 + 0 + 2/3*z**3 + 2/3*z**2.
z**2*(z + 2)**2/6
Let i be (1 + -1 - 1)/((-10)/20). Solve 242*c**i - 180*c**3 + 32 + 49*c**4 - 144*c + 16*c**4 - 15*c**4 = 0 for c.
4/5, 1
Let u(k) be the third derivative of -2*k**3 + 1/8*k**6 + 1/2*k**4 + 0*k + 13/20*k**5 + 4*k**2 + 0. Factor u(s).
3*(s + 1)*(s + 2)*(5*s - 2)
Factor -16 - 4*b + b**2 + 1/4*b**3.
(b - 4)*(b + 4)**2/4
Let g(v) be the first derivative of 7*v**4/6 - 262*v**3/9 - 332*v**2/3 - 56*v + 96. What is j in g(j) = 0?
-2, -2/7, 21
Suppose 12*h + 14*h = 52. Factor 22/3*t**2 + h + 8/3*t**3 + 20/3*t.
2*(t + 1)**2*(4*t + 3)/3
Let x(f) = -3*f**4 - 64*f**3 - 187*f**2 - 256*f - 118. Let i(p) = p**4 + 32*p**3 + 93*p**2 + 128*p + 58. Let d(l) = -5*i(l) - 3*x(l). Factor d(s).
4*(s + 2)**4
Let r(q) = -2*q**3 + q**2 + q. Let t be (-1 + 0)*5/5. Let n be r(t). Factor 8*p + 1 + 7 + 2*p**2 + 0*p**n.
2*(p + 2)**2
Let n(h) be the third derivative of -h**6/40 - 311*h**5/20 - 24335*h**4/8 - 24025*h**3/2 - 6*h**2 - 7*h. Solve n(k) = 0 for k.
-155, -1
Find l, given that 564*l + 6066 - 38514 + 60*l - 3*l**2 = 0.
104
Let v = -9 - -17. Suppose 3*x = 5*x - v. Find n, given that x - n**2 - 1 + 2*n**2 - 6*n + 2*n**2 = 0.
1
Suppose 5*u - 362 = -2*b, -128 = -2*u - 4*b + 20. Let r = u - 70. What is d in 1/5*d**r + 9/5 - 6/5*d = 0?
3
Let m = 1099/20 - 411/5. Let p = -27 - m. Factor 0*s + 0 - p*s**2 + 3/4*s**3 - 1/2*s**4.
-s**2*(s - 1)*(2*s - 1)/4
Let u be (5/(375/(-18)))/(27/(-90)). Suppose 16/5 - 28/5*z**3 - 4*z**4 + 32/5*z - 4/5*z**5 + u*z**2 = 0. Calculate z.
-2, -1, 1
Let b = 9 + -7. Let m be (b/(-4))/((-1)/4). Find f such that -3*f**3 + 2*f + 4*f**m + 3 + f**3 - 7 = 0.
-1, 1, 2
Factor 0*m + 18 - 4*m**2 + 0*m**3 + 2/9*m**4.
2*(m - 3)**2*(m + 3)**2/9
Let v(n) be the first derivative of -5*n**4/4 + 7*n**3/2 - 3*n**2 - 8*n + 15. Let u(f) be the first derivative of v(f). Factor u(t).
-3*(t - 1)*(5*t - 2)
Solve -6/5*g + 4 - 8/5*g**2 = 0 for g.
-2, 5/4
Let h(p) be the third derivative of 2*p**7/105 + p**6/6 - 7*p**5/15 - 5*p**4/6 + 4*p**3 + 410*p**2. Factor h(q).
4*(q - 1)**2*(q + 1)*(q + 6)
Let g(q) = 3*q + 21. Let t be g(-6). Factor d**2 - t*d**3 + 72 + 26*d**2 + 27*d**2 - 132*d - 16*d**2.
-(d - 6)**2*(3*d - 2)
Let p be 4/3 + 0 + 31/124. Let a = -5/4 + p. Let 0 + 0*i**2 - 1/6*i**5 + 0*i**4 - 1/6*i + a*i**3 = 0. Calculate i.
-1, 0, 1
Suppose -2*z + 8 = 2. Factor 125*r - 5*r**2 - 61*r - 54*r - 5*r**z.
-5*r*(r - 1)*(r + 2)
Let r(w) be the third derivative of 0 - 1/336*w**8 - 3/20*w**6 - 1/3*w**4 + 1/3*w**5 + 0*w + 1/30*w**7 + 0*w**3 - 11*w**2. Factor r(s).
-s*(s - 2)**3*(s - 1)
Let n(z) = -600*z**2 + 196*z + 4. Let w(a) = 2*a - 1. Let l(u) = n(u) + 8*w(u). Factor l(s).
-4*(3*s - 1)*(50*s - 1)
Let t be (1*(-5)/(-1))/1. Let w = 29 + -13. Factor 7*j**4 - 4*j**2 - w*j**2 - 32*j**4 - 41*j**3 - t*j**5 + j**3.
-5*j**2*(j + 1)*(j + 2)**2
Let y(w) be the second derivative of -w**4/66 - 3*w**3/11 - 155*w. Determine c so that y(c) = 0.
-9, 0
Factor 818*a**2 - 822*a**2 - 5184 + 159*a + 129*a.
-4*(a - 36)**2
Let w(j) = j**3. Let x(s) = 8*s**3. Let f be 0/(2*2/2). Suppose 7*u - 3*u - y - 1 = f, 3*y = -15. Let o(l) = u*x(l) + 12*w(l). Factor o(i).
4*i**3
Let w be 215/330 - 14/(-77). Find f such that 0 + 0*f - 2/3*f**3 + 0*f**2 - w*f**4 - 1/6*f**5 = 0.
-4, -1, 0
Suppose 48 - 67*i**2 - 4*i**4 - 16*i**3 + 71*i**2 + 36*i + 28*i = 0. Calculate i.
-3, -2, -1, 2
Let h(v) = v**3 + 2*v**2 - 3*v + 7. Let q be h(-6). Let x = 358/3 + q. Solve 0 + 0*w - x*w**2 = 0.
0
Let f(c) be the third derivative of c**6/720 - c**5/36 - 7*c**4/16 + 18*c**3 + 73*c**2 - 1. Factor f(p).
(p - 9)**2*(p + 8)/6
Let v be (2/(-2))/(7/(-35)). Factor -5*z**2 - v*z**2 + 0*z**2 + 6*z**2 - 4*z.
-4*z*(z + 1)
Let n be (2 + (-2)/(-21)*-3)*1344/3168. Let 6/11*g**5 + 0 - n*g + 2/11*g**3 - 16/11*g**4 + 16/11*g**2 = 0. Calculate g.
-1, 0, 2/3, 1, 2
Let h be (0 - 3) + 31 + -25. Find q, given that -2/11*q - 6/11*q**2 + 2/11*q**4 + 2/11*q**h + 4/11 = 0.
-2, -1, 1
Let m(f) be the second derivative of -2*f**7/273 - 79*f**6/195 - 105*f**5/13 - 184*f**4/3 - 52*f**3/3 + 507*f**2 - 5*f - 8. Determine q so that m(q) = 0.
-13, -3/2, 1
Let b(p) = -p**3 - 13*p**2 + 49*p + 20. Let v be b(-16). Solve -223/4*y**3 + 49/2*y**5 + 2 - 91/4*y**v + 1/2*y**2 + 11*y = 0.
-1, -2/7, 1/2, 2
Factor 0 + 0*c + 4/7*c**2 - 2/7*c**3.
-2*c**2*(c - 2)/7
Factor -7*p**4 - 15*p**3 + 5*p**4 - 6*p**2 + p**4 - 3*p**2 - 3*p**2 + 28*p.
-p*(p - 1)*(p + 2)*(p + 14)
Let b(a) be the second derivative of a**4/66 - 29*a**3/33 - 66*a. Suppose b(y) = 0. Calculate y.
0, 29
Let b be (48/(-520))/((-2)/1 + (-87)/(-45)). Find i, given that -12/13*i + b + 2/13*i**2 = 0.
3
Suppose -2*f + 20 = -7*f. Let w = 7 + f. Factor 2*p**3 - p**4 + p**4 + 4*p**2 + p**4 - w*p**4.
-2*p**2*(p - 2)*(p + 1)
Let v(f) = -f**3 + 4*f**2 + 12*f - 6. Let c be v(6). Let i be 4/c - (-77)/21. Factor -4*d**3 + 3*d**3 - 6*d**4 + 2*d**4 - 3*d**i + 4*d + 4*d**2.
-4*d*(d - 1)*(d + 1)**2
Let n(v) be the third derivative of -v**5/10 + 7*v**4/8 - 5*v**3/2 + 26*v**2 + 2*v. Solve n(z) = 0.
1, 5/2
Suppose -15*m + 48*m - 99 = 0. Solve -16/3*d + 14/3*d**2 - 32/3 - 2/3*d**m = 0.
-1, 4
Let c(q) be the second derivative of 35*q + 0 - 242*q**2 - 44/3*q**3 - 1/3*q**4. Factor c(a).
-4*(a + 11)**2
Let s(m) = -40*m**2 + 69*m + 24. Let y be s(2). Factor 0*k**3 - 1/2*k + 0 + 1/2*k**5 + k**y - k**4.
k*(k - 1)**3*(k + 1)/2
Let b(w) be the second derivative of -7*w**6/3 - 81*w**5/4 - 135*w**4/2 - 310*w**3/3 - 60*w**2 + w + 2. Let b(o) = 0. What is o?
-2, -3/2, -2/7
Suppose -12 = -4*q - 4. Factor -4*l**2 - 9*l**2 - 10*l**2 + 22*l**q.
-l**2
Let b(h) = -6*h**2 + 48*h + 4. Let x be b(8). Let c(k) be the first derivative of -1/8*k**4 + 0*k + 1/6*k**3 + 1/4*k**2 + x - 1/10*k**5. Factor c(g).
-g*(g - 1)*(g + 1)**2/2
Let m be (7/(-5) - 1) + 5. Factor 9/5*u**5 + m*u**3 + 24/5*u**4 + 0*u + 2/5*u**2 + 0.
u**2*(u + 2)*(3*u + 1)**2/5
Suppose -7*k = -3*k - 48. Suppose 20*l**3 + 24*l**2 - k + 4*l**4 - 16*l - 4 - 16 = 0. Calculate l.
-2, 1
Let w = 1358 - 6774/5. Factor -32/5 - 2/5*s**2 + w*s.
-2*(s - 4)**2/5
Let x(j) = 2*j**3 + 10*j**2 - j - 1. Let h be x(-5). Let g(r) be the first derivative of 1/8*r**h + 0*r - 4 + 1/6*r**3 + 0*r**2. Let g(o) = 0. Calculate o.
-1, 0
Suppose 0 = 2*i + 5*l - 1, 10 = i + 4*i + 5*l. Factor 30*s**3 - 36*s**2 + 15*s - 27*s**i + 2 + 12*s**4 + 4.
3*(s - 1)**2*(s + 2)*(4*s + 1)
Factor -198*v**3 - 55*v**2 + v**4 + 54*v**2 - 2*v + 200*v**3.
v*(v - 1)*(v + 1)*(v + 2)
Let z(v) be the second derivative of 13*v + 0 - 1/50*v**5 + 1/75*v**6 + 0*v**3 + 1/105*v**7 - 1/30*v**4 + 0*v**2. Let z(x) = 0. What is x?
-1, 0, 1
Let s(p) be the first derivative of 5*p**4/8 + 5*p**3/3 - 25*p**2/4 - 15*p - 161. Factor s(z).
5*(z - 2)*(z + 1)*(z + 3)/2
Let z(x) be the first derivative of -6 + 5/21*x**6 + 12/7*x**3 + 0*x + 64/35*x**5 + 57/14*x**4 + 0*x**2. Find b, given that z(b) = 0.
-3, -2/5, 0
Let u(z) be the first derivat