1)/(-2). Let z = -839379 + 839382. Factor 0 + 1/5*r**z - 4/5*r - 3/5*r**i.
r*(r - 4)*(r + 1)/5
Let w(l) = 163*l**2 + 58*l - 2. Let v(x) = 490*x**2 + 173*x - 5. Let i = 25 + -19. Let p be -4 - 435/33 - (-4)/22. Let c(h) = i*v(h) + p*w(h). Factor c(t).
(13*t + 2)**2
Let r(f) = f**2 + 10*f - 6. Let c be r(0). Let a be (-56)/(-14) + 24/c. Factor -6/5*y - 12/5*y**3 - 3*y**2 - 3/5*y**4 + a.
-3*y*(y + 1)**2*(y + 2)/5
Factor -102*o + 4335 + 3/5*o**2.
3*(o - 85)**2/5
Let i(z) = -23*z**3 + 340*z**2 - 2877*z. Let m(w) = -11*w**3 + 170*w**2 - 1439*w. Let p(y) = 22*y - 9. Let u be p(1). Let k(b) = u*m(b) - 6*i(b). Factor k(s).
-5*s*(s - 17)**2
Let n be (-13)/(-416)*16*(5 - 40/10). Factor 8*q - 39/2 - n*q**2.
-(q - 13)*(q - 3)/2
Let b(k) = 17*k - 119. Let o be (2 - (-6 + 7))*(7 - 0). Let p be b(o). Factor p*v**2 + 0 + 2/5*v**3 - 2/5*v**4 + 0*v.
-2*v**3*(v - 1)/5
Factor 724*b**2 + 726*b**2 - 15*b + b**4 - 1451*b**2 + 15*b**3.
b*(b - 1)*(b + 1)*(b + 15)
Let p(d) be the second derivative of d**4/3 + 330*d**3 + 4900*d**2 + 24*d + 26. Suppose p(y) = 0. What is y?
-490, -5
Let x(o) be the second derivative of -o**7/40 + 2*o**6/15 - o**5/10 + 44*o**3/3 - o**2/2 - 20*o. Let q(c) be the second derivative of x(c). Factor q(t).
-3*t*(t - 2)*(7*t - 2)
Let t be 49/(-14)*(-24)/21. Factor -2*m**4 + 47 + 35*m**3 + 25*m - 8*m**t - 96 - 50*m**2 + 44 + 5*m**2.
-5*(m - 1)**3*(2*m - 1)
Let y be 116/870 + 10264/(-30). Let d be -1*(1 - -1) - y/152. Factor 0*s**2 - 3/8*s**4 + d*s**3 + 1/8*s**5 + 0*s + 0.
s**3*(s - 2)*(s - 1)/8
Let l(n) be the first derivative of -3*n**3/4 + 263*n**2/8 - 29*n/2 - 45. Let l(v) = 0. Calculate v.
2/9, 29
Let c(s) = 48*s**4 + 264*s**3 + 584*s**2 + 580*s + 220. Let i(f) = f**5 + 50*f**4 + 265*f**3 + 584*f**2 + 583*f + 221. Let y(u) = 3*c(u) - 4*i(u). Factor y(l).
-4*(l + 1)*(l + 2)**3*(l + 7)
Let v(h) be the third derivative of h**7/840 - h**6/360 + 5*h**4/24 + 5*h**3/6 + 2*h**2 - 17*h. Let x(a) be the second derivative of v(a). Factor x(t).
t*(3*t - 2)
Let q(i) be the first derivative of i**3 - 219*i**2/2 - 4093. Let q(t) = 0. What is t?
0, 73
Suppose 2*o + 25*f = 27*f - 2, 0 = 5*f. Let x(k) = k**3 + 11*k**2 + 38*k + 24. Let j(h) = h**2. Let w(c) = o*x(c) - 4*j(c). Find m, given that w(m) = 0.
-12, -2, -1
Let p(a) be the third derivative of -17*a**2 + 0*a**3 + 0*a + 0 + 1/12*a**5 + 5/12*a**4. Find y such that p(y) = 0.
-2, 0
Suppose -100 = -66*k + 32. Determine s so that 12/11 + 6/11*s**4 - 42/11*s**2 - k*s - 2/11*s**3 = 0.
-2, -1, 1/3, 3
Let x(m) = -2*m - 16. Let g(t) = -1. Let w(l) = g(l) - x(l). Let p be w(-5). Suppose 0*h + h**3 + p*h + 21*h**2 - h**2 + 4*h**3 - 30 = 0. What is h?
-3, -2, 1
Find l, given that -177/7*l**3 + 38*l**2 + 22/7*l**4 - 44/7*l - 72/7 + 5/7*l**5 = 0.
-9, -2/5, 1, 2
Let u(r) be the first derivative of -r**4/16 - 19*r**3/3 - 73*r**2/2 - 72*r + 2796. Factor u(q).
-(q + 2)**2*(q + 72)/4
Let a(l) be the third derivative of 0 + 0*l**3 + 0*l**5 - 4/105*l**7 - 109*l**2 + 0*l**6 - 1/168*l**8 + 0*l + 0*l**4. Solve a(g) = 0 for g.
-4, 0
Factor 0*m - 77/3*m**2 + 1/3*m**3 + 0.
m**2*(m - 77)/3
Suppose -f - 5*h - 20 = 0, -4*h - 16 = -53*f + 54*f. Let p(t) be the second derivative of -1/12*t**2 + f - 1/72*t**4 - 1/18*t**3 - t. Factor p(d).
-(d + 1)**2/6
Suppose 0 = -6*t - 46 - 8. Let p be (-36)/(-14) - t/21 - 3. Solve 4/5*q**3 + 2/5*q**4 + 2/5*q**2 + p + 0*q = 0.
-1, 0
Let x = 506 - 504. Let 49*h**2 - 43*h**3 + 10*h**3 + x + 10 - 84*h + 56*h**2 = 0. What is h?
2/11, 1, 2
Let i(p) be the second derivative of 1/7*p**7 + 26/15*p**6 + 16/3*p**4 + 0*p**2 + 32/5*p**5 - 64*p - 2 + 0*p**3. Factor i(q).
2*q**2*(q + 4)**2*(3*q + 2)
Find l, given that -116*l**2 - 57 - 206*l - 8 + 6*l**3 + 18 + 18 - 55 = 0.
-1, -2/3, 21
Suppose -3*s = -3*c + 54, 396 = -4*c - 93*s + 71*s. What is y in -24/5*y**4 - 48/5*y**3 + c*y + 0*y**2 + 0 - 3/5*y**5 = 0?
-4, 0
Let f(l) = 15*l**2 - 3684*l + 3723. Let s(u) = u**2 + u + 1. Let y(a) = f(a) - 18*s(a). Determine r, given that y(r) = 0.
-1235, 1
Let k(l) be the second derivative of l**4/12 + 17*l**3/6 + 8*l**2 - 5*l + 97. Let k(n) = 0. Calculate n.
-16, -1
Let w = -59305/6 + 9922. Let x = w + -37. Factor 1/6*i**4 + x*i - 1/2*i**2 - 1/6*i**3 - 1/3.
(i - 1)**3*(i + 2)/6
Solve -3322*x**3 + 1159498 - 3287*x**3 - 99838 + 41*x**2 + 6614*x**3 + 139200*x - 1746*x**2 = 0 for x.
-7, 174
Let g = 437705 - 437702. Find m, given that 7/4*m**2 - 1/4*m**g - 3/2 - 1/4*m**4 + 1/4*m = 0.
-3, -1, 1, 2
Let s(m) be the third derivative of -m**7/1575 - 7*m**6/450 + m**5/6 + 109*m**4/45 + 476*m**3/45 + m**2 - 446. Let s(q) = 0. What is q?
-17, -2, 7
Let j(q) be the first derivative of -4*q**4/9 - 140*q**3/27 - 14*q**2 + 8*q - 2386. Factor j(a).
-4*(a + 3)*(a + 6)*(4*a - 1)/9
Let i be (-11960)/(-1311) + (-236)/(-1121). Factor 8/3 - 12*y**2 - i*y.
-4*(y + 1)*(9*y - 2)/3
Suppose 3*g - 77 = -23. Factor 5*i - 388 + 373 + g*i**2 - 3*i**2 - 5*i**3.
-5*(i - 3)*(i - 1)*(i + 1)
Suppose 31*s - 162*s - 16*s = -294. Determine j, given that -18/7 - 3/7*j**3 + 12/7*j**s - 3/7*j = 0.
-1, 2, 3
Let y(j) = -6*j + 34. Let f be y(5). Let i = 960 + -8638/9. Factor 2/9*a**f - i*a**2 - 2/9*a**3 + 0 + 2/9*a.
2*a*(a - 1)**2*(a + 1)/9
Suppose -s - 25 = -t, -14*s + 5 = -15*s. Factor 5*m - 7*m + 8 - t*m**2 + 22*m**2 - 8*m.
2*(m - 4)*(m - 1)
Suppose -5*y - 71 = -2*g - 50, -3*g = -4*y - 21. Let d(i) be the first derivative of -1/17*i**2 - 12/17*i + 29 + 2/51*i**g. Factor d(k).
2*(k - 3)*(k + 2)/17
Let u(o) be the second derivative of -1763/3*o**3 - 83/6*o**4 - 39*o + 1 - 1/10*o**5 - 1681*o**2. Let u(v) = 0. Calculate v.
-41, -1
Let y(q) = 164*q - 2996. Let n(k) = k**2 - 329*k + 5985. Let b(g) = 4*n(g) + 9*y(g). Determine l so that b(l) = 0.
-54, 14
Let z be (3/(-27))/(3/(-81)). Suppose 0 = -z*q - 3, 2*v = 2*q + 14 - 8. Determine k so that -9/4 - 1/4*k**v - 3/2*k = 0.
-3
Let o(r) be the second derivative of -2*r**6/15 - 3*r**5 + r**4/3 + 10*r**3 - 7*r + 122. What is j in o(j) = 0?
-15, -1, 0, 1
Suppose -22942*g = -22910*g - 128. Find m such that -12 + 14*m**3 + 110/3*m - 38*m**2 - 2/3*m**g = 0.
1, 18
Let d = 2065782 + -2065778. What is f in 9/2*f**d + 0*f + 0 - 9/2*f**3 - 3/2*f**5 + 3/2*f**2 = 0?
0, 1
Let o(q) be the third derivative of 359*q**5/20 - q**4/8 + 7*q**2 + 352. Factor o(v).
3*v*(359*v - 1)
Let b be (29 - (10 + 5)) + (-21 - -9). Find d such that -2/13*d**5 + 16/13*d**4 - 42/13*d**3 + 0 + 44/13*d**b - 16/13*d = 0.
0, 1, 2, 4
Suppose -96*k + 37*k = -38232. Let b = -646 + k. Factor 2 - 1/3*l**b - 5/3*l.
-(l - 1)*(l + 6)/3
Let l(w) be the second derivative of w**6/5 + 4*w**5/5 - w**4/2 + 2*w + 458. Factor l(i).
2*i**2*(i + 3)*(3*i - 1)
Let m(c) = c**3 + 20*c**2 + 97*c + 11. Let q be m(-8). Let n be 2 + 35/28 + -1*q. Factor -1/4*r - n*r**2 + 0.
-r*(r + 1)/4
Suppose 9812 = -38*q + 27*q. Let t = 895 + q. Suppose -2*c**2 + 6/5*c**t - 32/5*c + 24/5 = 0. Calculate c.
-2, 2/3, 3
Let m(j) be the first derivative of 0*j + 53 + 11*j**4 - 16*j**2 + 12/5*j**5 - 8*j**3. Find n, given that m(n) = 0.
-4, -2/3, 0, 1
Let w = -867539/8 + 108445. Factor 15*l**2 - w*l**3 + 0 + 9/2*l.
-3*l*(l - 6)*(7*l + 2)/8
Let f = -2192 + 2195. Let x(q) be the first derivative of 3/2*q**4 - 15 + 0*q**2 + 0*q + 0*q**f - 3/5*q**5. Factor x(j).
-3*j**3*(j - 2)
Suppose -200 + 152 = -24*w. Let g(f) be the third derivative of 1/330*f**5 + 5/66*f**4 + 0 + 0*f + 25/33*f**3 - 2*f**w. Factor g(k).
2*(k + 5)**2/11
Let i be 28/63*(-6)/(-4). Let u be -8 + 318/36 + (-7)/(-21). Let i + 1/2*t**2 - u*t = 0. What is t?
1, 4/3
Let y(w) = -2*w + 50. Let x be y(23). Suppose 0 = 4*u + u + 2*s - 37, 33 = x*u + 5*s. Factor u*q + 25*q**2 + q**4 + 16*q + 10*q**3 - 23*q.
q**2*(q + 5)**2
Let z be (-395700)/175 - (-2)/14. Let d be (10/(-7) - -1) + z/(-931). Solve 1/3*j + 1/3*j**d - 2/3 = 0.
-2, 1
Let r be (3/21)/((8/420)/(12/60)). Let s(h) be the third derivative of -18*h**3 + r*h**4 - 11*h**2 + 0 - 1/20*h**5 + 0*h. Factor s(v).
-3*(v - 6)**2
Factor -11/4*i**2 - 43/2*i + 60.
-(i + 10)*(11*i - 24)/4
Let h = -384 + 387. Suppose -40 - 91*o**3 - 135*o + 245*o**2 + 117*o**3 + 2*o**4 + 18*o**4 + 225*o + 109*o**h = 0. Calculate o.
-4, -2, -1, 1/4
Solve 0 + 19*r - 23/5*r**3 + 71/5*r**2 + 1/5*r**4 = 0 for r.
-1, 0, 5, 19
Solve 1/4*u**3 - u**2 + 1/4*u + 3/2 = 0.
-1, 2, 3
Let s be 3875/1000 - 1/(-8). Let w(j) be the second derivative of 0 