 the second derivative of -1/4*i**3 - 67/160*i**5 - 5/336*i**7 - 2/15*i**6 - 2*i + 0*i**2 - 13/24*i**4 - 1. Find f, given that q(f) = 0.
-3, -2, -1, -2/5, 0
Let y(h) be the second derivative of -1/4*h**4 + 85*h + 0 - 7*h**3 - 147/2*h**2. Factor y(d).
-3*(d + 7)**2
Let j(x) be the first derivative of x**4/34 + 40*x**3/51 - 275*x**2/17 + 1500*x/17 - 2573. Let j(q) = 0. Calculate q.
-30, 5
Let a(k) be the second derivative of -k**6/210 + 27*k**5/140 + 53*k**4/12 - 9*k**3/14 - 185*k**2/7 - k + 8. Determine x, given that a(x) = 0.
-10, -1, 1, 37
Let v be 36/324 - (-142)/18. What is i in -76*i - 1 - v*i**3 - 19 - 16 + 12 - 60*i**2 = 0?
-6, -1, -1/2
Factor -48 - 109*f**2 + 70*f**2 + 42*f**2.
3*(f - 4)*(f + 4)
Let x(d) be the second derivative of d**6/210 - 2*d**5/7 + 179*d**4/42 + 20*d**3 + 63*d**2/2 + 3*d - 9. Solve x(p) = 0 for p.
-1, 21
Suppose -4*g = i - 8*g - 3, -5*i + 2*g = -15. Factor -u**3 + 8*u**2 - 6*u + 2*u - u - 3*u**i + u.
-4*u*(u - 1)**2
Let m = 216 + -213. Factor 27*d - 45*d**2 + 36*d**3 - 13*d**3 - 7*d**3 - 4*d**m.
3*d*(d - 3)*(4*d - 3)
Let q(g) = -52 + 36*g**2 + 21*g - 14*g**2 - 7*g**2 - 8*g**2 - 8*g**2. Let u be q(3). Factor -l - 1/3*l**u + 4/3.
-(l - 1)*(l + 4)/3
Suppose -6491 - 133785 = -4*t. Factor 94*w - 34977 + 5*w**2 + t - 3*w**2.
2*(w + 1)*(w + 46)
Let d(z) be the third derivative of z**6/8 - 11*z**5/12 - 95*z**4/12 - 20*z**3 + 3*z**2 + 65*z + 5. Factor d(c).
5*(c - 6)*(c + 1)*(3*c + 4)
Let w(a) = -2*a**4 - 50*a**3 - 240*a**2 + 2*a. Let g(q) = -10*q**4 - 253*q**3 - 1199*q**2 + 11*q. Let j = 794 + -783. Let o(r) = j*w(r) - 2*g(r). Factor o(b).
-2*b**2*(b + 11)**2
Suppose 0 = -8*z + 78 - 30. Suppose z*b - 5*b - 6 = -k, -2 = -3*k + b. Suppose -3*y + 27/2 + 1/6*y**k = 0. Calculate y.
9
Let v(f) be the third derivative of -f**5/80 + 317*f**4/192 + 53*f**3/48 + 3506*f**2. What is o in v(o) = 0?
-1/6, 53
Suppose 22*j = 23*j - 3. Solve -546*z**2 - 4*z**j + 538*z**2 + 4*z**5 - 2*z**4 + 10*z**4 = 0 for z.
-2, -1, 0, 1
Let v(u) be the second derivative of -u**5/70 + 3*u**4/14 + 67*u**3/7 - 209*u**2/7 - 4273*u. Factor v(q).
-2*(q - 19)*(q - 1)*(q + 11)/7
Let a(r) be the first derivative of -r**4 - 48*r**3 + 672*r**2 - 2816*r - 4987. Find z such that a(z) = 0.
-44, 4
Let j = 82 - 78. Determine g so that 5 + 16*g - 363*g**2 - j*g**3 + 355*g**2 - 8 + 35 = 0.
-2, 2
Let t be (4 - 9/2)/((-20)/(-16)*-2). Solve -7*a**2 + 288/5*a + 324/5 + t*a**3 = 0 for a.
-1, 18
Let n be (-6)/(-7) + (-104)/(-91). Factor -14*k + 7519 - 7526 + k - 5*k**n + k**3.
(k - 7)*(k + 1)**2
Let o(t) be the third derivative of -1/3*t**3 + 1/20*t**5 + 1/6*t**4 + 0*t + 1/180*t**6 + 0 + 19*t**2. Let b(p) be the first derivative of o(p). Factor b(n).
2*(n + 1)*(n + 2)
Let u = 9 + -4. Solve -25*g**2 - 3*g**3 - 22*g**2 + g**u + 49*g**2 = 0 for g.
-2, 0, 1
Let a be 6/54 - 17/(-9). Solve -4*k**3 + 6*k**2 - a + k + 13*k**5 - 19*k**5 - 4*k**4 + 9*k**5 = 0 for k.
-1, -2/3, 1
Let v = 36 - -30. Let l = v - 64. Find c such that -3/2*c - 5/2*c**l + 1/2*c**4 + 3/2*c**3 + 2 = 0.
-4, -1, 1
Suppose 2 = d - 0. Let w = 785 + -783. Determine b so that -b**3 - d*b**2 + 7*b**2 - 4*b**w = 0.
0, 1
Let i be (6680/(-41750))/(4/(-30)). Factor -2/5*x**4 - 4/15 + i*x + 22/15*x**3 - 2*x**2.
-2*(x - 1)**3*(3*x - 2)/15
Let f(i) be the third derivative of i**7/42 + 25*i**6/24 + 125*i**5/12 + 1075*i**4/24 + 95*i**3 + 1514*i**2. Find a, given that f(a) = 0.
-19, -3, -2, -1
Let a(b) be the third derivative of -77*b**5/4 - 355*b**4/12 + 20*b**3/3 + 37*b**2 - b. Let a(d) = 0. What is d?
-2/3, 4/77
Let f(j) = -j**3 + 2094*j**2 - 12531*j + 18. Let r be f(6). Find i, given that 0*i + r - 27/2*i**2 + 3/2*i**3 = 0.
0, 9
Let c be (-50)/(-15)*12/10. Let i(y) = -80*y + 138*y - 64*y + 11*y**2. Let v(g) = -54*g**2 + 30*g. Let a(r) = c*v(r) + 21*i(r). Factor a(p).
3*p*(5*p - 2)
Let k(d) be the first derivative of 3*d**4/20 + 36*d**3 + 24831*d**2/10 + 47526*d/5 + 531. Suppose k(h) = 0. What is h?
-89, -2
Suppose -91*q + 29*q + 43*q + 57 = 0. Let m(n) be the third derivative of n**2 + 0*n + 0 + 1/20*n**5 - 3/2*n**4 + 18*n**q. Factor m(a).
3*(a - 6)**2
Let h(l) = 45*l**2 - 15*l**2 - 31*l - 2*l**3 - 4 - l**3. Let r(q) = 7*q**3 - 90*q**2 + 94*q + 11. Let j(t) = 11*h(t) + 4*r(t). Factor j(m).
-5*m*(m - 1)*(m + 7)
Suppose 5*s = 9*s + 6*y - 38, -s - 4*y + 22 = 0. Solve 1/3*k**s + 11/3 - 4*k = 0.
1, 11
Let v(h) be the first derivative of 5*h**3/6 + 279*h**2/4 - 28*h + 455. Factor v(w).
(w + 56)*(5*w - 1)/2
Let d = -8 - -10. Solve 576 - 5*o**d + 10*o**2 - o**2 + 96*o = 0.
-12
Find q, given that -512 - 900/7*q**2 + 3588/7*q + 1/7*q**3 = 0.
2, 896
Suppose -3/4*i**3 - 225/4*i - 99/2 + 53/2*i**2 = 0. What is i?
-2/3, 3, 33
Let q be 70 + -19 + -29 + 117/(-6). Factor q*r + 1/2*r**3 - 7 + 4*r**2.
(r - 1)*(r + 2)*(r + 7)/2
Factor -5/4*z**2 + 3/2*z + 1/4*z**3 + 0.
z*(z - 3)*(z - 2)/4
Find m such that -4/7*m**4 + 4*m**3 + 24 - 220/7*m + 4*m**2 = 0.
-3, 1, 2, 7
Let w(h) be the second derivative of 5*h**7/3 + 37*h**6/45 - 523*h**5/90 - 115*h**4/54 + 208*h**3/27 + 4*h**2/9 + h - 9. Find s such that w(s) = 0.
-1, -2/105, 2/3, 1
Let w(f) be the second derivative of 5*f**7/42 + f**6/3 - 15*f**5/4 - 25*f**4/3 + 110*f**3/3 + 120*f**2 + 2*f - 8003. Solve w(q) = 0.
-4, -2, -1, 2, 3
Let g(h) be the second derivative of -10*h**7/63 + 743*h**6/90 - 2749*h**5/60 + 161*h**4/18 + 44*h**3/3 + 1415*h. Suppose g(u) = 0. What is u?
-1/4, 0, 2/5, 4, 33
Let u(m) be the first derivative of m**3/9 + 328*m**2/3 + 107584*m/3 - 427. Factor u(o).
(o + 328)**2/3
Suppose -26 = -15*v + 2*v. Factor 10*k - 71*k**3 + 37*k**3 - 4*k**2 - k**2 + 29*k**3 + 0*k**v.
-5*k*(k - 1)*(k + 2)
Let k(p) = 5*p**4 - 20*p**3 - 10*p**2. Let d(r) = -2*r**4 + r**3. Suppose -35 = -15*g + 8*g. Let i(n) = g*d(n) + k(n). Solve i(v) = 0.
-2, -1, 0
Let l be ((-4)/3*-3)/((-43668)/(-2426)). Suppose l*o**3 + 4/9 + 0*o**2 - 2/3*o = 0. Calculate o.
-2, 1
Let l(p) be the first derivative of -p**4 - 60*p**3 - 172*p**2 - 7127. Factor l(c).
-4*c*(c + 2)*(c + 43)
Let d(z) be the first derivative of -18*z + 4/3*z**3 - 5 + 1/4*z**4 - 3/2*z**2. Solve d(s) = 0 for s.
-3, 2
Let m = 80440 + -80436. Factor 32/5 + 64/5*i + 42/5*i**2 + 11/5*i**3 + 1/5*i**m.
(i + 1)*(i + 2)*(i + 4)**2/5
Let y(j) be the second derivative of 0*j**5 - 1/30*j**6 - 2 + 0*j**2 - 33*j + 1/3*j**4 + 0*j**3. Solve y(d) = 0 for d.
-2, 0, 2
Let p(l) = -4*l**2 + 96*l + 888. Suppose 0 = -13*h + 18*h - 65. Let o(j) = 9*j**2 - 194*j - 1777. Let b(s) = h*p(s) + 6*o(s). Find a such that b(a) = 0.
-21
Suppose -27 = -3*p, -320*i + 319*i = -p + 7. Let -2/7*b**3 + 2 + 2/7*b - i*b**2 = 0. What is b?
-7, -1, 1
Let -375*k**2 + 223*k + 37*k + 182*k**2 + 191*k**2 = 0. Calculate k.
0, 130
Suppose 977*r = 976*r - 9. Let d be (r + 5)*(-1)/6*2. Factor d*f - 2 + 2/3*f**2.
2*(f - 1)*(f + 3)/3
Determine s, given that -s**4 - 1505*s**2 - 14*s**3 - 1650*s**2 - 634*s**2 - 436*s**2 - 116*s**3 = 0.
-65, 0
Let f(a) be the third derivative of -9/14*a**3 + 0*a + 1/168*a**4 + 9/140*a**5 - 1/840*a**6 - 31*a**2 + 0. Factor f(c).
-(c - 27)*(c - 1)*(c + 1)/7
Suppose -27*m + 24*m = -2*f - 5, 5*m - 3*f - 9 = 0. Let c(d) be the second derivative of -11*d + 0*d**m + 0 + 1/24*d**4 + 0*d**2. Factor c(a).
a**2/2
Factor -370/3*x + 556/3*x**2 + 0 + 1/6*x**4 - 373/6*x**3.
x*(x - 370)*(x - 2)*(x - 1)/6
Find g such that -26/3 - 214/9*g - 16/9*g**2 = 0.
-13, -3/8
Let k(u) be the first derivative of -4*u**4/7 + 38*u**3/7 - 99*u**2/7 - 10989. Factor k(n).
-2*n*(n - 3)*(8*n - 33)/7
Let y(t) = -10*t - 57. Let c be (-45)/10*8*2/12. Let q be y(c). Suppose 6 - 4*h**3 - 4*h**2 + 7*h**3 - h**q - 10*h + 6 = 0. Calculate h.
-2, 1, 3
Let m(t) = 12*t - 68. Let h be m(6). Let x be 146/42 + h/(-28). Factor -4*b - x - 2/3*b**2.
-2*(b + 1)*(b + 5)/3
Factor 107*i + 1252 + 972 + 4*i - 2704 - 3*i**2.
-3*(i - 32)*(i - 5)
Let p(k) = -20*k**2 - 104*k + 516. Let i(r) = 24*r**2 + 102*r - 517. Let f(n) = -4*i(n) - 5*p(n). Factor f(u).
4*(u - 4)*(u + 32)
Let j(s) = s**2 + 6*s + 42. Let n be j(-16). Let o = -6 + 8. Suppose 16 - 3*c**3 + c**3 + n*c**2 - 206*c**o + 8*c = 0. Calculate c.
-2, 2
Let w(u) = u**2 + 8*u + 11. Let o = -65 + 58. Let a be w(o). Suppose -f**4 - 82*f + 4*f**4 + 2*f**a + 65*f**2 - 30*f**3 + 22*f + 20 = 0. Calculate f.
1, 2
Let w be ((-52)/(-130))/((-1)/(-5)). Let o(k) be the first derivative of 4/5*k