 - 10 - n*q**2 + 8 = 0.
-1/2, 1
Solve 221/3*l - 1/3*l**3 - 146 + 218/3*l**2 = 0 for l.
-2, 1, 219
Let d(w) be the first derivative of -w**7/140 - w**6/60 - w**5/90 - w**2 - w - 40. Let j(f) be the second derivative of d(f). Factor j(b).
-b**2*(3*b + 2)**2/6
Let h(t) = -3751*t - 213807. Let y be h(-57). Find a, given that y*a + 5/3*a**2 - 8/3*a**4 + 0 - 1/2*a**5 - 1/2*a**3 = 0.
-5, -1, 0, 2/3
Factor 232/9*y - 2/9*y**3 + 52/9*y**2 + 80/3.
-2*(y - 30)*(y + 2)**2/9
Let z(v) be the third derivative of v**5/15 - 293*v**4/3 + 390*v**3 - 2461*v**2. Find c, given that z(c) = 0.
1, 585
Let v(u) be the first derivative of u**6/21 - 2*u**5/35 - 25*u**4/14 + 14*u**3/3 + 12*u**2 - 360*u/7 - 987. What is i in v(i) = 0?
-5, -2, 2, 3
Suppose 13*c - 23*c = -650. Suppose -97*t + 95*t - 5*v = -57, c = 5*t - 3*v. Let -35/2*f**4 - 47*f**3 - 87/2*f**2 - 2 - t*f = 0. What is f?
-1, -2/5, -2/7
Let d be -40 - (5 - 10363/215). Find t, given that 4*t**3 + 202/5*t**2 - 8 + d*t = 0.
-10, -1/2, 2/5
Let w(v) be the second derivative of -14*v**3 + 0 - 294*v**2 - 1/4*v**4 + 10*v. Factor w(u).
-3*(u + 14)**2
Let a be (-8)/12*(16/(-2) - -2). Find j, given that -12*j**4 + 16*j**2 - 20*j**2 + 7*j**4 + 9*j**a + 0*j**4 + 4*j**5 + 8*j - 12*j**3 = 0.
-2, -1, 0, 1
Let a(i) be the first derivative of 2/7*i**4 + 1/14*i**2 - 6/7*i + 6/7*i**3 - 134. Let a(s) = 0. Calculate s.
-2, -3/4, 1/2
Let j(l) be the third derivative of 15*l**2 - 9/50*l**5 - 14/5*l**4 + 0*l - 12/5*l**3 + 0. Factor j(k).
-6*(k + 6)*(9*k + 2)/5
Let v = 1904826 - 1904822. Let 0 - 141/4*h**2 - 297/4*h**3 - 9/2*h - 21*h**v = 0. Calculate h.
-3, -2/7, -1/4, 0
Factor -7/2*u**3 + 1/6*u**4 + 50*u + 2/3*u**2 + 200/3.
(u - 20)*(u - 5)*(u + 2)**2/6
Let k(g) = 98*g - 195. Let i be k(6). Determine z so that 81*z**4 - 1601*z + 543 + i + 3321*z**3 + 6426*z**2 + 5837*z = 0.
-39, -2/3
Let h(q) be the first derivative of 3/40*q**5 - 3/4*q**3 - 3/2*q**2 + 9/32*q**4 - 233 + 0*q. Factor h(a).
3*a*(a - 2)*(a + 1)*(a + 4)/8
Let b = -1/1128 - -71/564. Let u(z) be the second derivative of -b*z**2 + 0 + 1/16*z**3 + 22*z - 1/96*z**4. Determine m, given that u(m) = 0.
1, 2
Let -3750/17 - 10*s**2 + 1550/17*s + 2/17*s**3 = 0. Calculate s.
5, 75
Let f(j) = j**4 - j**3 + 3*j**2 - j. Let r(d) = 3*d**4 - 30*d**3 + 168*d**2 + 538*d - 675. Let a(t) = 6*f(t) - 3*r(t). Solve a(q) = 0.
-3, 1, 15
Let v(x) be the second derivative of 169/24*x**2 + 13/18*x**3 + 9*x + 1/36*x**4 - 3. Let v(g) = 0. What is g?
-13/2
Let r(x) be the first derivative of x**6/3 + 19*x**5/12 + 35*x**4/12 + 5*x**3/2 + 23*x**2 - x - 60. Let m(d) be the second derivative of r(d). Factor m(u).
5*(u + 1)**2*(8*u + 3)
Find b, given that -10488200/3 - 2/3*b**2 - 9160/3*b = 0.
-2290
Let r(m) be the first derivative of -1/3*m**3 + 119 - 7/2*m**2 - 6*m. Factor r(a).
-(a + 1)*(a + 6)
Let y(f) be the second derivative of f**5/80 + 80*f**4/3 + 2557*f**3/24 + 639*f**2/4 - 809*f. Factor y(d).
(d + 1)**2*(d + 1278)/4
Let i(v) = v**2 + 8739*v - 69973. Let q be i(8). Factor -16/3*d**q - 4*d + 0 + 2/3*d**4 + 26/3*d**2.
2*d*(d - 6)*(d - 1)**2/3
Let g be (2 + 52/(-14))/(1/(-28)). Let k be g/(-24) + 51/18. Find w, given that -k*w**2 - 2/3 - 1/6*w**3 - 4/3*w = 0.
-2, -1
Let a(h) be the third derivative of -h**8/5040 - h**7/210 - h**6/20 - 49*h**5/30 + 30*h**2. Let z(c) be the third derivative of a(c). Factor z(d).
-4*(d + 3)**2
Suppose -175 = 13*u - 8*u + 3*s, -6*s = 2*u + 70. Let x be u/49 - (-2 + 0). Factor -76/7*l - x*l**3 + 24/7 + 66/7*l**2.
-(l - 6)*(3*l - 2)**2/7
Let h(t) be the third derivative of t**7/105 - t**6/10 - t**5/30 + t**4/2 - t**2 - 37*t - 1. Factor h(a).
2*a*(a - 6)*(a - 1)*(a + 1)
Factor 8941*l**5 + 232*l**2 + 96*l + l**4 - 30*l**3 - 13*l**4 - 8939*l**5 - 1152.
2*(l - 4)**3*(l + 3)**2
Let r = 125/16 - 117/16. Let d(v) be the second derivative of 0*v**3 + 26*v - r*v**2 + 0 + 1/24*v**6 + 9/40*v**5 + 17/48*v**4. Factor d(b).
(b + 1)**2*(b + 2)*(5*b - 2)/4
Suppose 4 = -12*b + 13*b, 4*o - 2*b = 4. Solve 0*q**3 - 33*q + 23*q**3 - 8 + 12*q**4 + 16*q**3 - 10 - 3*q**5 - 3*q**o + 6*q**2 = 0.
-1, 1, 6
Let w be (-26)/(-130) - (-18)/10. Factor 20*x - 2*x**2 - 61*x + 152 - 2*x**w - 64*x - 43*x.
-4*(x - 1)*(x + 38)
Let f(p) be the first derivative of -p**7/168 + p**6/36 - p**5/24 - 8*p**3/3 - 9*p - 26. Let a(g) be the third derivative of f(g). Factor a(b).
-5*b*(b - 1)**2
Suppose -14*l**2 - 448/5*l + 104 - 2/5*l**3 = 0. Calculate l.
-26, -10, 1
Let h(y) be the second derivative of -y**5/50 - 319*y**4/30 + 647*y**3/5 - 585*y**2 - 57*y - 9. Let h(p) = 0. What is p?
-325, 3
Let l(g) be the first derivative of g**7/63 - 2*g**6/45 - 53*g + 51. Let i(q) be the first derivative of l(q). Factor i(c).
2*c**4*(c - 2)/3
Let x(c) = -374*c**2 + 182*c**2 - 25 + 191*c**2 + 11*c. Let n be x(5). Solve 0 + 1/3*v**n + 2/3*v**2 + 0*v**4 - v**3 + 0*v = 0.
-2, 0, 1
Let u = -1986/781 + 187/71. Let z(t) be the second derivative of 0*t**2 - 1/66*t**4 - u*t**3 - 10*t + 0. Factor z(f).
-2*f*(f + 3)/11
Suppose 2*x - 7 - 3 = 0. Suppose -x*y + 10 = 3*h, 5*y - 4*h = h + 10. Let -8*t**3 - t**2 + t**4 - t**2 - 8 + 8*t + 8*t**y + t**4 = 0. Calculate t.
-1, 1, 2
Suppose 5*n + 65 = 5*g, 4*n + 64 = 5*g - 0*n. Suppose g = 7*q - 3*q. Find r, given that -21*r**3 - 25*r**3 + 5*r**4 - 270*r + 135 - 4*r**q + 180*r**2 = 0.
1, 3
Suppose 3*h - 189 = -4*a, 13*h + 3*a - 126 = 11*h. Let g be (-15)/(-63) - (-6)/h. Factor 0*b**2 - 4/3*b + 0 + g*b**3.
b*(b - 2)*(b + 2)/3
Factor -5*o**2 - 192 + 257 + 129 + 246 + 15*o.
-5*(o - 11)*(o + 8)
Let x(k) be the second derivative of k**7/15 - 61*k**6/75 + 3*k**5 - 32*k**4/15 - 32*k**3/15 + 2*k + 181. Find b such that x(b) = 0.
-2/7, 0, 1, 4
Let f(p) be the third derivative of p**5/30 - 6*p**4 + 812*p**3/3 + 2771*p**2. Factor f(o).
2*(o - 58)*(o - 14)
Let l(h) = h**3 + 34*h**2 + 13*h - 660. Let d be l(-33). Factor d*i**2 - 3/2 - 9/4*i + 3/4*i**3.
3*(i - 2)*(i + 1)**2/4
Let z(g) = g**2 - 7*g + 17. Let c be z(-10). Find x such that 188*x**3 + c*x**3 + 20*x - 379*x**3 - 16*x**2 = 0.
-5, 0, 1
Let k = 24 + 3. Suppose -2*r + 3 = 2*f - 5, -5*f = -2*r - k. Factor -16*n**2 - 24*n**3 - 4*n**f - 11*n**4 + 9*n - 2*n**4 - 3*n**4 - 13*n.
-4*n*(n + 1)**4
Let z = 1069170 + -1069158. Solve 1/2*q**4 + 0 + 0*q - 25/2*q**3 + z*q**2 = 0.
0, 1, 24
Let d(v) be the second derivative of 3/80*v**5 - 4 + 7*v + 9/4*v**2 + 19/32*v**4 - 1/80*v**6 + 7/4*v**3. Find h, given that d(h) = 0.
-2, -1, 6
Let c(d) be the second derivative of -d**4/3 + 3154*d**3/3 + 3064*d. Factor c(y).
-4*y*(y - 1577)
Suppose -p - 1866 = -2*u + 273, -3*u + 2*p = -3210. Factor g**4 - 8*g - 16 - 530*g**3 - 530*g**3 + 15*g**2 + u*g**3.
(g - 1)*(g + 1)*(g + 4)**2
Let c(b) be the second derivative of 21*b**5/40 - 425*b**4/8 - 139*b**3 - 93*b**2 - 147*b - 5. Factor c(m).
3*(m - 62)*(m + 1)*(7*m + 2)/2
Let r(o) = -3*o**2 + 15*o - 61. Let j be r(16). Let s = -586 - j. Factor -1/2 - 5/8*p**s + 1/8*p**4 + 5/8*p + 3/8*p**2.
(p - 4)*(p - 1)**2*(p + 1)/8
Let i = 2687 - 2678. Let l(w) be the third derivative of 5/24*w**4 - 1/12*w**5 - i*w**2 + 0 + 5/6*w**3 + 0*w - 1/24*w**6. Determine d, given that l(d) = 0.
-1, 1
Let m = 4580 + -27383/6. Let o = m - 31/2. Factor -18*r**2 - 18*r - o*r**4 + 0 - 6*r**3.
-2*r*(r + 3)**3/3
Let k = -810623/334 + 2427. Let g = k + 349/1002. Factor 0 + g*s**3 + 1/6*s**2 + 0*s.
s**2*(2*s + 1)/6
Let m(z) be the third derivative of z**5/30 - 10*z**4 - 244*z**3/3 - z**2 - 1795*z. Factor m(r).
2*(r - 122)*(r + 2)
Let c(w) = 27*w**2 + 2709*w. Let k(x) = -20*x**2 - 2029*x. Let d(o) = -11*c(o) - 15*k(o). Solve d(u) = 0 for u.
-212, 0
Suppose -157 = -4*q + 127. Let s = -68 + q. Let -14*o + 3*o**2 - 3*o**s + 8*o + 9*o**3 - 3*o**4 = 0. What is o?
-1, 0, 1, 2
Let w(x) = 17*x**2 - 14*x + 4. Let t(v) = 12*v**2 - 10*v + 3. Let f = 237 + -242. Let g(d) = f*w(d) + 7*t(d). Factor g(n).
-(n - 1)*(n + 1)
Let a be (5*2 - (-56 + 11 + 43))*(-38)/(-9). Suppose -176*c + a - 14/3*c**2 = 0. Calculate c.
-38, 2/7
What is y in 36*y**2 - 16*y**3 - 432 + 144*y + 4/3*y**4 = 0?
-3, 3, 6
Factor -3396*l + 595*l - 3722*l + 16*l**2 + 460*l - 629*l + 1672.
4*(l - 418)*(4*l - 1)
Let t(p) be the second derivative of -1/9*p**3 + 0 + 0*p**2 - 1/18*p**4 + 40*p. Determine b, given that t(b) = 0.
-1, 0
Let x = -915185 - -915185. Factor x + 1/7*d**4 - 1/7*d - 1/7*d**2 + 1/7*d**3.
d*(d - 1)*(d + 1