 + 12*d - 16.
(d - 4)**3/4
Let g = -23446 - -23448. Let t(b) be the second derivative of 7*b + 2/3*b**3 + 0*b**g + 0 + 7/2*b**4. Find h such that t(h) = 0.
-2/21, 0
Let v be (-20 + 18)/(42/(-6)) - 269/(-14). Factor -21/2*o**2 - 3/2*o**5 - 15/2*o**4 + v*o**3 + 0 + 0*o.
-3*o**2*(o - 1)**2*(o + 7)/2
Suppose 5*f = 3*f - 2*i + 308, 0 = 5*i + 10. Suppose 0 = 165*s - f*s - 36. Factor -1/3*a**2 - 1/3*a**3 + 0 + 0*a + 1/3*a**s + 1/3*a**5.
a**2*(a - 1)*(a + 1)**2/3
Let u(c) be the second derivative of c**5/20 - 3*c**4/4 + c**3/6 - 3*c**2 + 6*c. Let a be u(9). Let -5*x + 10 - a*x**2 - 4*x**2 - x**2 + 3*x**2 = 0. What is x?
-2, 1
Let u(x) = -5*x**4 + x**3 - x + 1. Let j(m) = 12*m**4 + m**3 + 45*m**2 + 53*m - 3. Let g(k) = -j(k) - 3*u(k). Suppose g(z) = 0. Calculate z.
-2, -5/3, 0, 5
Let k(m) be the second derivative of 9409*m**5/30 + 3007*m**4/3 - 512*m**3/3 + 32*m**2/3 - 1675*m. Suppose k(i) = 0. What is i?
-2, 4/97
Let i(f) be the first derivative of -49*f**6/72 - 28*f**5/3 - 160*f**4/3 + 11*f**3 - 43. Let m(w) be the third derivative of i(w). Factor m(z).
-5*(7*z + 16)**2
Let q(h) = -h**2 - h + 27. Let g(m) = -m**2 - 2127*m + 564003. Let f(b) = -g(b) + 3*q(b). Solve f(o) = 0.
531
Let o(u) be the second derivative of u**5/5 - 5*u**4/3 - 2*u**3/3 + 10*u**2 - 23*u + 39. Factor o(x).
4*(x - 5)*(x - 1)*(x + 1)
Let i(v) = -58*v - 113. Let l be i(-2). Let c be l/6*(-116)/(-87). Determine p so that 2*p**4 - 14/3*p**2 + 0*p + c*p**5 - 2/3*p**3 + 8/3 = 0.
-2, -1, 1
Factor 30 + 3/2*f**3 - 27/2*f**2 - 18*f.
3*(f - 10)*(f - 1)*(f + 2)/2
Let s be (0 - -3)/18 + 56/(-336). Factor -2/11*x**3 + 0*x + 2/11*x**4 + s + 0*x**2.
2*x**3*(x - 1)/11
Let f be (-3)/(-1)*(3493 + 18). Find i, given that -i**2 - 3*i + f - 7*i - 10558 = 0.
-5
Let n(l) = 12*l**3 + 10*l**2 + 16*l + 8. Let j(i) = i**3. Suppose 93 + 126 = -3*r. Let u = r - -72. Let h(b) = u*n(b) + 10*j(b). Factor h(o).
-2*(o + 1)*(o + 2)**2
Let d(r) be the second derivative of r**4/48 - 409*r**3/12 + 817*r**2/8 + 82*r - 5. Let d(q) = 0. What is q?
1, 817
Let u(p) be the second derivative of -p**5/5 + 5*p**4 - 42*p**3 + 98*p**2 - p + 1715. What is l in u(l) = 0?
1, 7
Let z(w) be the third derivative of w**5/12 - 7*w**4/12 + 4*w**3/3 + 2*w**2 + 24. Let j(h) = -26*h**2 + 71*h - 38. Let v(i) = -2*j(i) - 11*z(i). Factor v(l).
-3*(l - 2)**2
Let x(s) be the first derivative of 49 + 6*s**3 + 0*s + 1/3*s**2. Factor x(d).
2*d*(27*d + 1)/3
Let z(c) = -6*c**2 - 36*c + 4. Let v be z(-6). Let x be 7 + (-330)/200*v. Suppose 4/5 - x*f**2 - 2/5*f = 0. Calculate f.
-2, 1
Factor -120/11 + 34/11*l + 2/11*l**2.
2*(l - 3)*(l + 20)/11
Let p(m) be the first derivative of 4*m**3/9 + 700*m**2 + 367500*m + 1710. Find w, given that p(w) = 0.
-525
Suppose 5*n + 6 = -14. Let g(b) = b**2 + 5*b + 9. Let u be g(n). Factor -s**3 + 5*s**3 + 5*s**2 - 4*s**u - 4*s**2 - 4*s**4 + 3*s**2.
-4*s**2*(s - 1)*(s + 1)**2
Let z(t) be the first derivative of 1/16*t**6 + 94 + 1/4*t**3 + 15/32*t**4 + 3/10*t**5 + 0*t**2 + 0*t. Factor z(s).
3*s**2*(s + 1)**2*(s + 2)/8
Let a(o) be the second derivative of -o**7/42 + 13*o**6 - 9603*o**5/5 + 18818*o**4/3 - 601*o + 1. Find v such that a(v) = 0.
0, 2, 194
Let w(g) be the third derivative of 1/30*g**6 + 0 - 1/525*g**7 + 4/3*g**3 + 1/50*g**5 + g**2 + 88*g - 8/15*g**4. Suppose w(s) = 0. What is s?
-2, 1, 10
Let i(m) be the first derivative of -4/9*m**3 - 2/3*m**2 - 1/12*m**4 - 14 + 0*m. Factor i(h).
-h*(h + 2)**2/3
Let i(k) be the third derivative of k**8/47040 - k**7/1176 - 11*k**6/1680 + 69*k**5/20 + k**2 + 219. Let f(z) be the third derivative of i(z). Factor f(j).
3*(j - 11)*(j + 1)/7
Let -1120413075641343/7 - 5115/7*a**4 - 5476114739205/7*a - 1/7*a**5 - 10705991670/7*a**2 - 10465290/7*a**3 = 0. What is a?
-1023
Let l = -221/570 + 727/1140. Solve -1681 + 41*x - l*x**2 = 0 for x.
82
Suppose -15808*u = 3*h - 15812*u - 30, -3*u = h + 16. Let -4/3*f + 7 - 1/3*f**h = 0. Calculate f.
-7, 3
Let x(m) be the first derivative of -m**6/18 + 6*m**5/5 - 37*m**4/6 + 124*m**3/9 - 31*m**2/2 + 26*m/3 + 975. Factor x(d).
-(d - 13)*(d - 2)*(d - 1)**3/3
Factor -56 - 4/3*x**2 - 92/3*x.
-4*(x + 2)*(x + 21)/3
Let y(g) be the second derivative of -1/3*g**3 + 14*g + 0 + 1/24*g**4 - g**2 + 1/40*g**5. Factor y(p).
(p - 2)*(p + 1)*(p + 2)/2
Suppose 0 = -604*t + 528*t. Let y(p) be the first derivative of p**2 - 1/2*p**4 + 0*p**3 + t*p + 52. Find j such that y(j) = 0.
-1, 0, 1
Let p be (1 - 2)/((-11)/22). Let u be (1 - 1)/(2/2). Factor -s**4 + 2/3*s**3 + 0*s + 0*s**p + u + 1/3*s**5.
s**3*(s - 2)*(s - 1)/3
Let a = -41806 + 80827/2. Let q = a + 1395. Find v such that -7/2*v**2 - q*v + 0 = 0.
-5/7, 0
Let c = -17370 - -17374. Let u(l) be the first derivative of -1/2*l**4 + c*l**2 - 16*l - 16 + 4/3*l**3. Factor u(r).
-2*(r - 2)**2*(r + 2)
Let f = 1833 - 3124. Let d = f + 9052/7. Factor 3/7*z**2 + 12/7 + d*z.
3*(z + 1)*(z + 4)/7
Suppose 2*x + 3*l = 61 - 64, 5*x - 4 = 4*l. Let f(h) be the second derivative of -1/6*h**4 - 3*h**2 - h**3 - 1/90*h**5 + 3*h + x. Factor f(c).
-2*(c + 3)**3/9
Let k be (-3614)/59631 + 4264/660. Determine x, given that 2/5*x**2 + k*x - 34/5 = 0.
-17, 1
Let m(g) = -21*g**3 + 163*g**2 - 110*g - 14. Let w be m(7). Let 8/7*x**2 + 0*x + w - 2/7*x**3 = 0. Calculate x.
0, 4
Let g(p) be the first derivative of -1/7*p**2 + 35 + 1/14*p**4 - 10/21*p**3 + 6/35*p**5 + 4/7*p. What is n in g(n) = 0?
-1, 2/3, 1
Factor 227/5*u**2 - 688/5*u + 92 + 1/5*u**3.
(u - 2)*(u - 1)*(u + 230)/5
Let s(n) be the third derivative of -n**6/120 - 227*n**5/15 - 205205*n**4/24 + 207025*n**3/3 + 7059*n**2. Factor s(r).
-(r - 2)*(r + 455)**2
Let y(t) = -2*t**2 - 163*t - 576. Let u(c) = c**2 - 7*c + 5. Let j(x) = 6*u(x) + 2*y(x). Find b such that j(b) = 0.
-3, 187
Let x(i) be the second derivative of i**4/32 + 111*i**3/4 - 1335*i**2/16 + 4174*i. Solve x(p) = 0 for p.
-445, 1
Factor 0 + 29*c**2 - 1/2*c**4 - 36*c + 15/2*c**3.
-c*(c - 18)*(c - 1)*(c + 4)/2
Suppose -2*f - 23*f = 0. Let j(i) be the second derivative of 1/10*i**5 - 1/4*i**4 - 1/4*i**2 + f - 1/60*i**6 + 1/3*i**3 + 7*i. Suppose j(w) = 0. What is w?
1
Let s = 454716 - 454714. Find j, given that 3/2*j**s - 3/2*j**4 + 0 - 27/2*j**5 + 0*j + 27/2*j**3 = 0.
-1, -1/9, 0, 1
Factor -281250*d - 70312500 - 1/6*d**3 - 375*d**2.
-(d + 750)**3/6
Solve 554/7*d**3 - 836/7*d**2 - 136/7*d**4 - 1/7*d**5 + 559/7*d - 20 = 0 for d.
-140, 1
Let 82*x**4 + 964*x + 1096*x - 4805*x**2 + 533*x**3 + 1157*x**3 + 50*x**4 - 97*x**4 + 1020 = 0. Calculate x.
-51, -2/7, 1, 2
Let g be 0/(-5)*1 - 1. Let i be ((-4)/3)/(-7 - g). Factor 0*u**3 + 0 + 4/9*u**2 + i*u - 2/9*u**5 - 4/9*u**4.
-2*u*(u - 1)*(u + 1)**3/9
Let l(o) = -3*o**3 + 10*o**2 + 167*o - 6. Let x be l(-6). Let v(p) be the third derivative of 0 + x*p**3 - 9*p + 1/20*p**5 - 1/8*p**4 - 2*p**2. Factor v(u).
3*u*(u - 1)
Let a(o) be the third derivative of o**7/1260 + 11*o**6/360 + o**5/5 - 107*o**4/72 + 119*o**3/36 + 552*o**2 + 4. Let a(z) = 0. What is z?
-17, -7, 1
Let d(j) be the second derivative of -j**7/70 + 3*j**6/40 + j**5/20 - 3*j**4/8 + 46*j**2 + j - 10. Let h(m) be the first derivative of d(m). Factor h(z).
-3*z*(z - 3)*(z - 1)*(z + 1)
Suppose 2*b = -2*v - 6, 5*b = -v + 6 - 1. Determine r so that 36*r - 215*r**b + r**3 + 4*r**3 - 15*r - 21*r = 0.
0, 43
Let b(c) be the first derivative of 20*c**3 - 13*c**2 + 32/5*c**5 + 4*c - 84 - 16*c**4 - c**6. Suppose b(i) = 0. What is i?
1/3, 1, 2
Factor 435/2 - 9*w**2 + 417/2*w.
-3*(w + 1)*(6*w - 145)/2
Let f(v) be the first derivative of -5*v**4/4 - 95*v**3/3 + 230*v**2 - 570. Factor f(j).
-5*j*(j - 4)*(j + 23)
Let q(v) be the third derivative of 0 - 50*v**2 - 4/165*v**5 + 0*v + 1/660*v**6 + 19/132*v**4 - 4/11*v**3. Suppose q(x) = 0. Calculate x.
1, 3, 4
Suppose -25*y**2 + 55/2*y**3 - 5/2*y**4 + 0*y + 0 = 0. What is y?
0, 1, 10
Let s = 2432 + -2427. Let q(j) be the second derivative of j**3/6 + j. Let y(g) = -3*g**2 - 32*g - 24. Let h(d) = s*q(d) + y(d). Factor h(o).
-3*(o + 1)*(o + 8)
Let f(l) be the first derivative of 0*l - 27/4*l**4 + 0*l**2 + 0*l**3 + 213 - 3/5*l**5. Suppose f(k) = 0. What is k?
-9, 0
Let l(y) = -4*y - 55. Let w be l(-17). Let -131*g**2 + 29 + w - 45*g + 134*g**2 = 0. Calculate g.
1, 14
Suppose -692 = 2*x - 712. Suppose 0 - x = 2*k, -3*k = 4*g - 1. Factor 0*m**2 - 2/7*m**5 + 0*m**3 + 0*m + 0 + 4/7*m**g.
-2*m**4*(m - 2)/7
F