he third derivative of -i**6/240 + 23*i**5/60 - 127*i**2. Factor z(f).
-f**2*(f - 46)/2
Let s = -22395/17 - -44841/34. Factor -7*i**3 + 13*i**2 + s - 31/4*i.
-(2*i - 1)**2*(7*i - 6)/4
Let f = 788 + -663. Suppose 1537*c**3 + f*c**4 - 2820*c - 700 + 600*c**3 + 57*c**3 + 129*c**2 - 1084*c**2 + 2156*c**3 = 0. Calculate c.
-35, -2/5, 1
Suppose 4*m = -3*q - 12, 3*m + 2*q - 18 = -26. Let p(x) be the first derivative of -12 + m*x + 5/6*x**3 - 7/8*x**4 + 1/2*x**2. Factor p(b).
-b*(b - 1)*(7*b + 2)/2
Let x = -314578/15 + 20972. Let k(m) be the second derivative of 0*m**3 - 1/25*m**6 + 8*m + x*m**4 + 0*m**5 + 0 + 0*m**2 + 1/105*m**7. Factor k(t).
2*t**2*(t - 2)**2*(t + 1)/5
Let a(u) be the second derivative of -u**7/105 - u**6/3 - 187*u**5/50 - 121*u**4/10 - 3993*u. Factor a(c).
-2*c**2*(c + 3)*(c + 11)**2/5
Let m be 9/27 - 151/(-7). Let a = 22 - m. Factor -2/7*g**2 + 0 - 2/7*g**3 - 2/21*g - a*g**4.
-2*g*(g + 1)**3/21
Let p(k) = 15*k - 45. Let r be p(15). What is v in -185*v**3 - r*v + 5*v**5 + 340*v**2 + 46 + 38 + 20*v**4 - 84 = 0?
-9, 0, 1, 2
Let k(m) be the third derivative of -m**6/80 + 413*m**5/40 - 43255*m**4/16 + 126075*m**3/4 + 32*m**2 + 2*m + 4. Factor k(p).
-3*(p - 205)**2*(p - 3)/2
Factor 0 - 2/7*q**3 + 368/7*q - 30/7*q**2.
-2*q*(q - 8)*(q + 23)/7
Suppose v - 424 = -421. Suppose -4*p = 5*f + 2, -v*f + 6*f - 12 = 2*p. Find r, given that 1/3*r**3 + 0 + 0*r - 2*r**f + 1/3*r**4 = 0.
-3, 0, 2
Solve 2*h**2 - 6600562*h + 2692881 - h**2 + 6603844*h = 0 for h.
-1641
Let j be (-7)/(-28) + 72/32 + -2. Let r = -148 + 151. Factor 5/2*d**2 - 4*d - j*d**r + 2.
-(d - 2)**2*(d - 1)/2
Let f(y) = -10*y**2 + 65*y - 105. Let q(c) = -11*c**2 + 65*c - 104. Let t = -125 - -119. Let x(m) = t*f(m) + 5*q(m). Factor x(n).
5*(n - 11)*(n - 2)
Let d = 50292 - 150875/3. What is r in 0 - 2*r + 7*r**3 - r**5 - d*r**4 - 11/3*r**2 = 0?
-3, -1/3, 0, 1, 2
Let m(g) be the third derivative of 17/75*g**5 + 113 - 1/300*g**6 - 34/15*g**3 - 2*g**2 + 1/60*g**4 + 0*g. Solve m(c) = 0 for c.
-1, 1, 34
Let v = -2631 + 331507/126. Let u(q) be the second derivative of -2/63*q**3 + 30*q + 0 + 0*q**2 - v*q**4. Solve u(t) = 0.
-2, 0
Let j(z) be the second derivative of 0 + 1/40*z**5 + 3*z**2 - 4/3*z**3 - 150*z + 1/8*z**4. What is u in j(u) = 0?
-6, 1, 2
Let f = 59520 - 59518. Factor 0 + 4/5*y**4 + 12/5*y**3 - 16/5*y**f - 48/5*y.
4*y*(y - 2)*(y + 2)*(y + 3)/5
Let k = -12860 - -12862. Let l(y) be the second derivative of 8*y**k + 2/15*y**6 + 13/3*y**4 + 8*y**3 - 20*y + 6/5*y**5 + 0. Let l(v) = 0. Calculate v.
-2, -1
Suppose 2706*c - 642*c**2 - 479*c**2 + 965*c**2 + 2*c**3 + 13448 = 0. Calculate c.
-4, 41
Let c = 606 - 604. Determine o, given that 34*o - 8*o**c - o**3 - 12 + 20*o**2 + o**3 - 40*o**2 - 2*o**5 + 8*o**4 = 0.
-2, 1, 3
Suppose 4*f + 126 = 6*v, -4*f + 11614*v - 34 = 11612*v. Let b be (2/(-1))/(16/(-6)). Factor b*c + 15/4*c**f + 3/2 - 6*c**2.
3*(c - 1)**2*(5*c + 2)/4
Let b(t) be the second derivative of -t**8/3360 + 2*t**7/315 + 11*t**6/120 - 67*t**4/12 + t**2 - 126*t. Let g(d) be the third derivative of b(d). Factor g(o).
-2*o*(o - 11)*(o + 3)
Let z(u) = 8*u**2 + 44*u - 369. Let j(i) = -3*i**2 - 24*i + 186. Let y(o) = -15*j(o) - 6*z(o). Suppose y(p) = 0. What is p?
8, 24
Let b be (37/(333/(-72)))/(6*-1). Find s such that 2 - 2/3*s**2 - b*s = 0.
-3, 1
Factor -2824/3 + 470*j**2 + 472*j - 2/3*j**3.
-2*(j - 706)*(j - 1)*(j + 2)/3
Let w(k) be the first derivative of -7*k**4/16 - 13*k**3/12 - 3*k**2/4 - 566. Determine l, given that w(l) = 0.
-1, -6/7, 0
Let p = -861 + 880. Let c = 59/3 - p. Let 2*z + 0 + c*z**2 = 0. What is z?
-3, 0
Let k(u) = 4*u**3 + 2*u**2 - 3*u + 3. Let s(g) = -9*g + 20*g - 13 - 10*g**2 + 2 - 15*g**3 + g**2. Let r(f) = -22*k(f) - 6*s(f). Find c such that r(c) = 0.
-5, 0
Let b(w) = -5*w**2 + 95*w + 3. Let r be b(19). Let c(y) be the second derivative of -4/9*y**2 - 1/9*y**r + 1/54*y**4 + 15*y + 0. Factor c(o).
2*(o - 4)*(o + 1)/9
Let k(b) = -b + 68. Let d be k(32). Find u such that 22765*u**3 + 33*u**4 - 12 - d*u - 14*u**2 - 9*u**2 - 22738*u**3 + 2*u**2 + 9*u**5 = 0.
-2, -1, -2/3, 1
Let l(c) = -c - 1. Let m(b) be the second derivative of 0 - 2*b + 7*b**2 + 5/12*b**4 - 11/6*b**3. Let k(j) = 4*l(j) + m(j). Factor k(h).
5*(h - 2)*(h - 1)
Let p be 13 - (-9)/(-1 + -2). What is c in -p*c**3 + 6*c**4 + 20 - 17*c**2 - 8*c**2 - c**4 + 10*c**2 + 20*c = 0?
-1, 2
Let d(m) be the second derivative of m**4/4 + 53*m**3/6 - 28*m**2 - 7116*m. Let d(z) = 0. Calculate z.
-56/3, 1
Let c be (-44)/(-15) + 8/120. Let t be (0 - -6) + 22/(-6) + c. Factor -4/3*q**2 - 20/3*q - t.
-4*(q + 1)*(q + 4)/3
Let q be (-2 - -6)/(11 - 37 - -40). Factor 6/7 - 8/7*j + q*j**2.
2*(j - 3)*(j - 1)/7
Let s be (15/(-75))/((-1)/4 - 1/(-5)). Let c(g) be the first derivative of -2/9*g**3 + 0*g + 1/12*g**s - 16 + 0*g**2. Suppose c(a) = 0. What is a?
0, 2
Let s(t) = 19*t - 242. Let p be s(13). Let i be ((-135)/25 + p)/((-20)/75). Factor 9*o**2 - 33/2*o + 9 - i*o**3.
-3*(o - 3)*(o - 2)*(o - 1)/2
Let a(u) be the first derivative of u**3/3 + 5*u**2/2 - 594*u + 5383. Solve a(o) = 0 for o.
-27, 22
Let h(w) be the first derivative of w**4/6 + 724*w**3/3 + 131044*w**2 + 94875856*w/3 - 653. Factor h(i).
2*(i + 362)**3/3
Let x(v) be the first derivative of 3*v**4/32 - 93*v**2/16 - 45*v/4 - 492. Let x(o) = 0. Calculate o.
-5, -1, 6
Let i(p) be the third derivative of p**8/420 + 2*p**7/105 - 2*p**6/75 - 44*p**5/75 - 8*p**4/5 + 9*p**2 - 5*p - 19. What is t in i(t) = 0?
-4, -2, 0, 3
Let m(s) be the first derivative of -3*s**5/20 + 27*s**4/4 - 243*s**3/2 + 2187*s**2/2 - 84*s + 18. Let d(f) be the first derivative of m(f). Factor d(y).
-3*(y - 9)**3
Factor -17*m - m**2 - 142*m + 43 + 17 - 6 - 8*m**2.
-3*(m + 18)*(3*m - 1)
Let h = 95067/20 - 4752. Let q(f) be the second derivative of h*f**5 - 3/4*f**4 - 16*f + 6*f**2 + 0 - 4*f**3. Find s, given that q(s) = 0.
-1, 2/3
Let h = 2219 - 2343. Let q be (-5)/(-2) - 62/h. What is z in 1/3*z**5 - z**4 - 2/3*z**2 + 5/3 + 3*z - 10/3*z**q = 0?
-1, 1, 5
Let c = 9820 + -9804. Let q(l) be the second derivative of c*l + 0 + l**6 + 1/6*l**7 + 0*l**4 + 0*l**3 + 2/5*l**5 + 0*l**2. Solve q(s) = 0.
-4, -2/7, 0
Let z(m) be the first derivative of m**5/35 + m**4/28 - 5*m**3/7 - 9*m**2/14 + 54*m/7 - 1297. Factor z(y).
(y - 3)*(y - 2)*(y + 3)**2/7
Let x be 3 + (-390)/110 - (-6)/11. Let h(p) be the second derivative of 0 + x*p**2 + 1/8*p**5 + 0*p**3 + 1/24*p**4 + 17*p + 1/15*p**6. Factor h(j).
j**2*(j + 1)*(4*j + 1)/2
Let h(m) be the first derivative of -272*m**3 + 0*m + 72*m**2 + 373*m**4 - 952/5*m**5 + 98/3*m**6 + 25. Suppose h(b) = 0. Calculate b.
0, 3/7, 2
Factor -4420*a - 3190*a - 2360 - 25*a**2 - 533 - 147.
-5*(a + 304)*(5*a + 2)
Let q(w) be the third derivative of -16/3*w**3 - 2/5*w**5 - 1/30*w**6 + 0 + 0*w - 2*w**4 - 31*w**2. Determine g so that q(g) = 0.
-2
Let b(j) be the first derivative of -j**6/18 - 23*j**5/15 - 131*j**4/12 + 23*j**3/9 + 22*j**2 + 4439. Solve b(a) = 0 for a.
-12, -11, -1, 0, 1
Let y(h) be the second derivative of h**4/66 + 19*h**3/33 + 70*h**2/11 - h - 93. Factor y(z).
2*(z + 5)*(z + 14)/11
Let d = 11 - 9. Let n = -52874 + 52874. Factor -3/4*w**d + 1/2*w + n.
-w*(3*w - 2)/4
Let a = -11 - -19. Let y(n) = -8*n**3 + 114*n**2 - 244*n - 909. Let z be y(6). Find h, given that 0 + a*h + 16/3*h**z - 44/3*h**2 = 0.
0, 3/4, 2
Suppose 0 = 46*a - 214*a + 840. Let m(r) be the third derivative of 0*r + 1/80*r**6 + 0*r**3 + 0*r**4 - 1/40*r**5 + 0 + a*r**2. Find f such that m(f) = 0.
0, 1
Let s(x) be the second derivative of x**7/315 + 7*x**6/75 + 3*x**5/25 - 4*x**4/9 + 4751*x. Suppose s(f) = 0. Calculate f.
-20, -2, 0, 1
Let i(o) = -o**3 + o**2 + 20. Let a be i(3). Factor 20*q + 957 - q**2 + 6*q**a + 5*q - 1027.
5*(q - 2)*(q + 7)
Let c = 401132/9 + -44570. Factor c*q**5 + 8/9*q**4 - 8/3*q**2 - 4/9*q**3 + 2*q + 0.
2*q*(q - 1)**2*(q + 3)**2/9
Let c be ((-1)/4*-4)/((-18)/(-7668)). Let d = c - 423. Factor -52/7*p**2 + 4/7*p**d + 20*p + 28.
4*(p - 7)**2*(p + 1)/7
Suppose s = -5*z - 0*s + 289, s = -z + 61. Let -74*f**2 - 191*f**2 + 90 + 30*f**3 - 143*f + z*f + 19*f + 12*f = 0. What is f?
-2/3, 1/2, 9
Let t be 34/(-86 + 18)*-8. Let 3/4*m**2 + 0 - 3/8*m**5 - 15/8*m**3 + 3/2*m**t + 0*m = 0. What is m?
0, 1, 2
Suppose -5*p + 33 = 2*g, -g = -p + 2*g - 7. Suppose -2*x - 2*x = s - 15, 27 = 4*s + p*x. Factor 