z) be the first derivative of -9/38*z**4 - 4/95*z**5 + 0*z - 70 + 0*z**2 + 10/57*z**3. Factor n(o).
-2*o**2*(o + 5)*(2*o - 1)/19
Let c = 1743 - 2318. Let y = c + 575. Solve y - 26/5*d**3 - 2/5*d**5 + 24/5*d**2 + 12/5*d**4 - 8/5*d = 0.
0, 1, 2
Let l(x) be the first derivative of 14*x**6/45 - 4*x**5/15 - x**4/3 - 56*x + 41. Let a(g) be the first derivative of l(g). Factor a(c).
4*c**2*(c - 1)*(7*c + 3)/3
Let z be ((120/175)/4)/(1/(-15)). Let a = -62/35 - z. Factor -a*m**3 + 4/5*m**4 + 0*m**2 + 0*m + 0.
4*m**3*(m - 1)/5
Let b = -1096 + 1098. Let x(d) be the third derivative of 0*d + 4/3*d**3 - 17*d**b + 0 + 1/15*d**5 - 1/2*d**4. Factor x(w).
4*(w - 2)*(w - 1)
Let q(s) be the first derivative of -2*s**5/15 + 5*s**4/3 + 16*s**3/9 - 46*s**2 - 90*s - 9406. Solve q(d) = 0.
-3, -1, 5, 9
Let l(p) be the third derivative of p**6/270 - p**5/15 + 5*p**4/18 - 17*p**3/6 - 34*p**2 + 2*p. Let d(u) be the first derivative of l(u). Factor d(h).
4*(h - 5)*(h - 1)/3
Suppose -5 = 11*t + 37*t - 5. Let s(h) be the second derivative of 17*h + 7/48*h**4 - 1/2*h**2 + 1/16*h**5 - 1/3*h**3 + t. Suppose s(r) = 0. What is r?
-2, -2/5, 1
Suppose -4*z + 93*l = 91*l - 52, 4*z - 40 = 5*l. Suppose -3/2*p**5 - 9/2*p**4 + z*p**2 + 27/2 + 9*p**3 - 63/2*p = 0. Calculate p.
-3, 1
Suppose 4*a - 138 = -62. Factor -i**3 + 17*i**2 - 11*i + 7*i + a*i**2 - 40*i**2.
-i*(i + 2)**2
Let d be (-102)/((-25296)/62) + (-13335)/(-12). Solve -14801*s + d*s**2 - 115/4*s**3 + 13718 + 1/4*s**4 = 0.
1, 38
Let h(t) be the third derivative of t**5/210 - 355*t**4/21 + 504100*t**3/21 + 2165*t**2. Find f such that h(f) = 0.
710
Let b = -10 + 29. Suppose -q - 2*n + 11 = 0, n = 5*q - 0*n - 11. Factor 8*j**3 - b*j + 20*j**2 + 24*j + 12*j**q + 5*j**5 + 10*j**3 + 20*j**4.
5*j*(j + 1)**4
Let w = 5833/2 + -2915. Let k(o) be the first derivative of -o**3 + 6*o + 11 - w*o**2. Determine r so that k(r) = 0.
-2, 1
What is v in -959*v**3 - 5832*v - 4*v**4 + 4*v**5 + 0*v**4 + 286 - 286 - 13*v**3 + 6804*v**2 = 0?
-18, 0, 1, 9
Let j(u) be the second derivative of u**4/3 + 596*u**3/3 + 44402*u**2 - 2227*u. Factor j(w).
4*(w + 149)**2
Let x(d) be the first derivative of d**6/120 - 9*d**5/40 - 5*d**4/4 + 2*d**3/3 - 3*d**2/2 - 5. Let j(k) be the third derivative of x(k). Factor j(a).
3*(a - 10)*(a + 1)
Let h be 1/(1/(3 + 6)) + -5. Factor -11*r - 6*r**3 + 19*r**h - 12*r**2 + 6 - 20*r**4 + r - 9.
-(r + 1)**3*(r + 3)
Factor 26577*o**2 - 2040200 - 53157*o**2 + 4040*o + 26578*o**2.
-2*(o - 1010)**2
Suppose -20 = -241*f + 237*f. Factor 316*l**f - 9*l**3 + 10*l**3 - 317*l**5.
-l**3*(l - 1)*(l + 1)
Let a(d) be the second derivative of 2*d**6/5 - 53*d**5/4 + 11*d**4/6 - 9928*d. Solve a(m) = 0 for m.
0, 1/12, 22
Factor -180 + 31*z**2 - 2116*z + 2096*z + 14*z**2 + 5*z**3.
5*(z - 2)*(z + 2)*(z + 9)
Let h be (32/20)/(546/1170). Let p = 7/13 + 107/91. Suppose -p*q - 15/7*q**3 - h*q**2 - 3/7*q**4 + 0 = 0. Calculate q.
-2, -1, 0
Let b(m) be the second derivative of m**8/4480 - m**6/480 + 7*m**4/2 - 107*m. Let q(r) be the third derivative of b(r). Factor q(y).
3*y*(y - 1)*(y + 1)/2
Let w(i) = i**2 - 2*i - 15. Let g be w(5). Solve 79*d**4 - 4*d + g*d**3 - 4*d**2 + 76*d**4 - 154*d**4 + d**3 = 0 for d.
-2, -1, 0, 2
Let x = -352 + 274. Let j be 2 - 9 - 754/x. Suppose j*g + 4/3 - 4*g**2 = 0. What is g?
-1/3, 1
Let v(c) be the second derivative of c**5/5 - 11*c**4 + 184*c**3/3 - 120*c**2 - 1170*c + 3. Factor v(z).
4*(z - 30)*(z - 2)*(z - 1)
Let a be (-124)/(-62) + (-2)/(-4)*2. Find u, given that 19*u - 7*u + 16*u - 13*u**2 + u**a - 2*u**3 + u**2 = 0.
-14, 0, 2
Factor -12785667*c - 8*c**3 + 5*c**4 - 12*c**3 + 25*c**2 + 12785657*c.
5*c*(c - 2)*(c - 1)**2
Let p(k) = -k**3 + k**2 + 3*k + 1. Let h(y) = -4*y**4 + 22*y**3 - 54*y**2 + 54*y + 6. Let b(m) = h(m) - 6*p(m). Factor b(z).
-4*z*(z - 3)**2*(z - 1)
Suppose -3*w + a + 13 = 0, 2*w - a - 27 = -4*a. Suppose -w*q - 76 = -44*q. Factor 18/7*s**q + 4/7 + 2/7*s**4 + 2*s + 10/7*s**3.
2*(s + 1)**3*(s + 2)/7
Let j(c) be the third derivative of 0*c**4 + 0*c**3 + 3/40*c**5 + 0 + 2*c - 6*c**2 + 1/80*c**6. Factor j(k).
3*k**2*(k + 3)/2
Let c(f) be the first derivative of -36125*f**6/3 + 71230*f**5 - 65905*f**4 - 336616*f**3/51 - 4040*f**2/17 - 64*f/17 - 6364. Let c(d) = 0. What is d?
-2/85, 1, 4
Let s be 32/(-6)*7539/(-70). Let k = -572 + s. Factor -39/5*u - k - 27/5*u**2.
-3*(u + 1)*(9*u + 4)/5
Let d = 104748/25 + -104628/25. Factor 18/5*n - d - 3/5*n**2.
-3*(n - 4)*(n - 2)/5
Let y be 1 - (34 + 2158/(-52)). Solve -y*b + 1/4*b**2 + 289/4 = 0.
17
Find c such that -160 - 1/2*c**4 - 344*c - 417/2*c**2 - 25*c**3 = 0.
-40, -8, -1
Let k(n) be the third derivative of -1/2100*n**7 - 1/5*n**3 + 0*n + 1/60*n**4 + 0*n**6 + 0 - 6*n**2 + 3/200*n**5. Factor k(v).
-(v - 3)*(v - 1)*(v + 2)**2/10
Let d be ((-3)/24*-6)/(38/(-152)). Let n be d/(-30)*4*65/39. Factor -n - 4/3*b**2 + 1/3*b**3 + 5/3*b.
(b - 2)*(b - 1)**2/3
Let y be (-5)/(-15)*-12 + -1041. Let p = y + 1047. Factor -2/7*t**p - 4/7 - 6/7*t.
-2*(t + 1)*(t + 2)/7
Let p(y) be the first derivative of 135*y - 5/4*y**4 + 53 - 135/2*y**2 + 15*y**3. Find d, given that p(d) = 0.
3
Let n = 32 - 10. Let h(g) be the first derivative of 4*g - 12*g**2 - 6*g**2 - 12 + 25*g**4 + n*g**3 - 2*g**3. Factor h(q).
4*(q + 1)*(5*q - 1)**2
Let h(r) = 76*r**4 - 860*r**3 - 1352*r**2 - 400*r + 64. Let n(v) = 25*v**4 - 287*v**3 - 450*v**2 - 133*v + 20. Let k(b) = -5*h(b) + 16*n(b). Factor k(l).
4*l*(l - 16)*(l + 1)*(5*l + 2)
Let x = 562 + -314. Factor -4*u**5 + 28*u**4 + x*u**2 + 44 + 124*u - 38*u + 152*u**3 + 86*u.
-4*(u - 11)*(u + 1)**4
Let g(c) be the second derivative of 5*c**4/18 + 59*c**3/9 - 26*c**2 + c + 1254. Determine s, given that g(s) = 0.
-13, 6/5
Determine m, given that m + 393*m**2 + 9482 - 53*m**2 - m**3 - 9822 = 0.
-1, 1, 340
Let g(o) be the second derivative of -3*o**5/4 + 2077*o**4 - 3449481*o**3/2 - 2071683*o**2 + 5069*o. Factor g(h).
-3*(h - 831)**2*(5*h + 2)
Factor 84*g**2 - 53*g + 4*g**3 + 36*g**4 + 4*g**5 - 13*g**4 - 24*g**4 - 19*g**4 - 19*g.
4*g*(g - 3)**2*(g - 1)*(g + 2)
Let u(f) = -20*f**3 + 497*f**2 - 2758*f + 2209. Let p(x) = -55*x**3 + 1365*x**2 - 7585*x + 6075. Let k(a) = 9*p(a) - 25*u(a). Suppose k(q) = 0. What is q?
1, 5, 22
Let j(x) = 4*x**4 + 568*x**3 + 28516*x**2 + 653584*x + 5607424. Let c(h) = 2*h**3 + 2*h. Let p(z) = 8*c(z) - j(z). Solve p(k) = 0.
-37, -32
Let f be (3043/(-1432))/(17/(-2)). Solve f*k**2 + 1/4*k - 3/2 = 0 for k.
-3, 2
Let c(h) be the second derivative of h**5/80 - 37*h**4/16 + 1369*h**3/8 + 4*h**2 - 24*h - 1. Let s(f) be the first derivative of c(f). Factor s(l).
3*(l - 37)**2/4
Let m(y) be the second derivative of y**7/195 - 23*y**6/780 + y**5/65 - 58*y**2 - 171*y. Let x(n) be the first derivative of m(n). Suppose x(k) = 0. What is k?
0, 2/7, 3
Let l(w) = 6*w**2 - 61*w + 13. Let j be l(10). Factor -4*t**4 + 9*t**3 + 6*t**2 + 6*t**j - 9*t**3 - 2*t**2.
-2*t**2*(t - 2)*(2*t + 1)
Suppose g - 2 = i - 0, -g + 14 = 5*i. Factor 2030 - 167*u - 65*u - 148*u**2 - 8430 + 144*u**i - 88*u.
-4*(u + 40)**2
Let z be 6/8 - ((-59)/12 - -5). Factor -1/3*w**2 - z*w**3 + 1/3*w**4 + 2/3*w + 0.
w*(w - 2)*(w - 1)*(w + 1)/3
Suppose 5/4*t**2 - 2185/2 + 135/4*t = 0. What is t?
-46, 19
Let k(f) be the second derivative of -f**5/4 + 475*f**4/12 + 5*f**3/6 - 475*f**2/2 + f - 2007. Factor k(n).
-5*(n - 95)*(n - 1)*(n + 1)
Let c = 1021 - 704. Let o = -317 + c. Factor 1/3*h**2 + 5/3*h + o.
h*(h + 5)/3
Let i be 3 + -15 - (-14)/(-10) - (-136)/8. Find a, given that -133/2*a**5 + i*a + 97/10*a**2 - 1317/10*a**4 - 2/5 - 119/2*a**3 = 0.
-1, -2/7, 2/19, 1/5
Let u(b) be the first derivative of -12*b**2 - 32*b - 4/3*b**3 - 92. Factor u(w).
-4*(w + 2)*(w + 4)
Let x(a) be the third derivative of -3*a**7/280 - 17*a**6/120 - 11*a**5/20 - a**4 - 39*a**3/2 - 174*a**2. Let i(p) be the first derivative of x(p). Factor i(z).
-3*(z + 1)*(z + 4)*(3*z + 2)
Factor -4*z**5 - 339*z**2 + 279*z**2 + 0*z**5 - 38*z**3 + 6*z**5.
2*z**2*(z - 5)*(z + 2)*(z + 3)
Let b be ((-14)/(-6))/(25/10). Let j = 4/3 - b. Solve j + 6*p**2 + 18/5*p + 14/5*p**3 = 0 for p.
-1, -1/7
Determine z, given that 15*z**3 + 9*z**3 - 288 + 4*z**4 - 344*z + 224*z + 7*z**3 + 52*z**2 + z**3 = 0.
-4, -3, 2
Let i(l) be the third derivative of l**6/540 - 47*l**5/270 + 109*l**4/36 - 65*l**3/3 - l**2 + 5491*l. Let i(t) = 0. What is t?
3, 5, 