 0*w**2 - 1/12*w**4 + 1/8*w**5 - 6*w + p*w**3. Factor g(v).
-v**2*(v - 2)*(2*v - 1)/2
Suppose -12214*i + 11326*i + 1776 = 0. Let 120/11*s + 244/11*s**i + 42/11*s**3 + 16/11 - 98/11*s**4 = 0. Calculate s.
-1, -2/7, 2
Let j(q) be the third derivative of -35/6*q**3 + 25*q**2 + 0*q + 0 - 1/120*q**6 - 71/24*q**4 - 37/60*q**5. Solve j(s) = 0.
-35, -1
Suppose 2*z + l = 10, -5*z + 16 = 4*l - 15. Let n(v) be the third derivative of -1/30*v**5 + 0*v + 0*v**z + 0 - 2*v**2 + 1/24*v**4. Factor n(m).
-m*(2*m - 1)
Let v(s) be the second derivative of -s**6/810 - s**5/45 - 4*s**4/27 + 25*s**3/6 + s. Let b(f) be the second derivative of v(f). Factor b(n).
-4*(n + 2)*(n + 4)/9
Let c = -103/2391 - -300/797. Let -22/3*z - 7 - c*z**2 = 0. Calculate z.
-21, -1
Let j be (-5)/(-7) + 6/21 + -1. Suppose 0*f - 8*f + 40 = j. Factor -24 - f*h + 0 + h + 0*h + 4*h**2.
4*(h - 3)*(h + 2)
Let b(y) be the first derivative of -y**3/9 - 1303*y**2/3 - 1697809*y/3 + 925. Factor b(a).
-(a + 1303)**2/3
Let g(c) be the second derivative of 9*c**5/20 - 31*c**4/4 + 77*c**3/2 - 147*c**2/2 - 6768*c. Solve g(p) = 0.
1, 7/3, 7
Factor -485951*m**2 - 31*m**3 + 485924*m**2 - 105*m - 9*m**4 + 98*m + 2*m**5.
m*(m - 7)*(m + 1)**2*(2*m + 1)
Suppose -3*m = -4*q - 5*m + 22, -3*q + m = -4. Let l(n) = -50*n - 795. Let y be l(-16). Determine u so that -1/2*u**q + 0*u + u**4 + 0 - u**2 + 1/2*u**y = 0.
-2, -1, 0, 1
Suppose 43*i = 63*i - 80. Let p(s) be the first derivative of 0*s - 1/15*s**5 - 2 - 17/36*s**i - 4/9*s**2 - 22/27*s**3. Let p(l) = 0. What is l?
-4, -1, -2/3, 0
Let z(p) be the second derivative of 0 - 15/7*p**2 + 1/42*p**4 - 2/21*p**3 + 233*p. Factor z(k).
2*(k - 5)*(k + 3)/7
Let v(k) = k**3 - 34*k**2 + 38*k - 149. Let x be v(33). Let h(o) be the second derivative of 1/3*o**3 + 2/3*o**4 + 0*o**2 + x*o + 0 + 2/5*o**5. Factor h(w).
2*w*(2*w + 1)**2
Let a(t) be the first derivative of -20402*t**3/39 + 202*t**2/13 - 2*t/13 + 280. Solve a(m) = 0.
1/101
Factor -690*g + 238050 + 1/2*g**2.
(g - 690)**2/2
Let j(i) = -90*i**2 - 446*i + 86. Let k(a) = -22 + 3 + 18*a**2 + 89*a + 2. Let c(x) = 2*j(x) + 11*k(x). Let c(b) = 0. Calculate b.
-5, 1/6
Let l = -321 - -325. Let w(u) be the second derivative of 21*u + 1/32*u**l + 0 + 3/160*u**5 + 0*u**2 + 0*u**3. Let w(p) = 0. Calculate p.
-1, 0
Let f = 1586/207 + -1448/207. Suppose 0*s + 8 = 2*s. What is j in -4/3*j**s - 6*j**2 + 14/3*j**3 + 10/3*j - f = 0?
1/2, 1
Determine n so that -2796/17*n**2 + 2/17*n**3 - 202389392/17 + 1302936/17*n = 0.
466
Let a(d) be the second derivative of d**4/12 + 235*d**3/24 - 59*d**2/8 + 1522*d. Solve a(c) = 0.
-59, 1/4
Let d be 2/(-6)*(415 - 415). Factor 0 + 4/3*q**2 + d*q.
4*q**2/3
Suppose -5*x + z = -416, 0 = -4*x - z - 0*z + 340. Factor -15*u - 137 + 63 + 8*u**2 - 27*u + x.
2*(u - 5)*(4*u - 1)
Determine f so that -2419*f - 5*f**4 + 12000 + 207*f + 195*f**3 - 988*f - 1770*f**2 = 0.
-3, 2, 20
Factor -7/2*w - 6 - 1/2*w**2.
-(w + 3)*(w + 4)/2
Let t be -2*(-3)/2 + 3 - 3. Factor 9*u**3 + 0*u**t - 96*u**2 + 11 - 25 - 86 + 198*u - 11*u**3.
-2*(u - 1)**2*(u + 50)
Suppose w - 4*o + 10 = -2*w, 2*o = 4*w. Let u be (20/(-8))/((w/(-4))/1). Factor 0 - 1/2*d + 1/3*d**3 - 2/3*d**2 + 2/3*d**4 + 1/6*d**u.
d*(d - 1)*(d + 1)**2*(d + 3)/6
Let t(b) = 2*b**2 - 10*b + 14. Suppose 6*r = -7 + 19. Let w be t(r). Solve -2/19 - 4/19*s - 2/19*s**w = 0.
-1
Let o(j) be the first derivative of 17/28*j**4 + 2*j + 6 + 8/7*j**3 + 3/35*j**5 + 9/14*j**2. Let t(b) be the first derivative of o(b). Factor t(v).
3*(v + 1)*(v + 3)*(4*v + 1)/7
Factor 0*j**2 + 0 - 8/3*j**3 + 0*j - 8/9*j**4 + 2/9*j**5.
2*j**3*(j - 6)*(j + 2)/9
Determine v, given that -1/3*v**3 + 1/3*v - 59/3*v**2 + 59/3 = 0.
-59, -1, 1
Let z(c) be the first derivative of 0*c + 0*c**3 + 27/35*c**5 + 0*c**2 + 12 - 3/14*c**4. Factor z(b).
3*b**3*(9*b - 2)/7
Let w(d) be the second derivative of d**5/100 - 137*d**4/60 - 14*d**3 - 10365*d. Factor w(u).
u*(u - 140)*(u + 3)/5
Suppose 5*k = -5*b + b - 25, 20 = -5*k - 3*b. Let v be ((-12)/15)/((-6)/10) + k. Factor -j + 0 - v*j**2.
-j*(j + 3)/3
Determine k so that -106*k - 2809/6 - 6*k**2 = 0.
-53/6
Factor 3*d**5 - 4968*d**4 - 4947*d**4 - 6885*d + 9645*d**4 + 13446 - 2160*d**2 + 1770*d**3.
3*(d - 83)*(d - 3)**3*(d + 2)
Suppose 3*m - 67 = 29. Let n be (16/m)/(2/28). Find j, given that 34*j - 39*j - 5 + j**3 - n*j**2 + 16*j = 0.
1, 5
Let w(h) = 16*h**2 + 365*h + 398. Let o(t) = 7*t**2 + 185*t + 199. Let l(x) = 14*o(x) - 6*w(x). Factor l(q).
2*(q + 1)*(q + 199)
Let b(m) = -3*m - 31. Let n be b(-11). Suppose 3*k + 53 = 74. What is a in -11*a**2 - k*a**3 - 4*a - a**3 - 4*a**4 + 2*a**4 + a**n = 0?
-2, -1, 0
Suppose -8 = -4*j - 5*t, -2*j - t - 1 + 5 = 0. Let -b**j + 14 + 460*b - 465*b + 0*b**2 = 0. What is b?
-7, 2
Let r = -306 - -303. Let b be 3/(4 + -1 - r). Let 1/2*u**2 - b*u**4 + 0*u + 0*u**3 + 0 = 0. Calculate u.
-1, 0, 1
Suppose 3*b + a - 4 = -0*b, b = -4*a - 17. Let j be 20*b/48 + 11/4. Find m, given that 8/7*m**j + 0 - 8/7*m**2 + 2/7*m**5 - 8/7*m + 6/7*m**3 = 0.
-2, -1, 0, 1
Let c(p) = p**2 - 23*p + 2. Let q be c(23). Let a be ((-8708)/1555)/(12/(-10)). Factor a*h - 98/3 - 1/6*h**q.
-(h - 14)**2/6
Let p(v) be the first derivative of -v**5/20 - 905*v**4/8 - 817213*v**3/12 + 409965*v**2/2 - 205209*v - 1723. Suppose p(k) = 0. What is k?
-906, 1
Let g(b) be the second derivative of b**6/40 + 279*b**5/80 - 24*b**4 + 97*b**3/2 - 551*b - 1. Solve g(q) = 0 for q.
-97, 0, 2
Let k(f) be the second derivative of -1/30*f**5 - 105*f + 0*f**2 + 0*f**4 + 0*f**3 - 1/90*f**6 + 0. Factor k(o).
-o**3*(o + 2)/3
Factor 2*q**2 + 4238126 - 4238126 - 856*q - q**2.
q*(q - 856)
Suppose -5*d + 3*p + 735 = 0, -2*d + 2*p + 294 = -2*p. Factor z**2 - d*z - 26*z - 88*z - 264 + 2*z**2.
3*(z - 88)*(z + 1)
Let l = 266/345 + -151/345. Factor -5/3*k - l*k**2 + 2.
-(k - 1)*(k + 6)/3
Suppose 55*r = 56*r - 94. Suppose r*j = 84*j. Factor -9/2*t**2 + 0*t + j - 3/2*t**3.
-3*t**2*(t + 3)/2
Let h(f) = -5*f**2 - 127*f - 128. Let a(p) = 10*p**2 + 251*p + 254. Let j(q) = 6*a(q) + 13*h(q). Find m such that j(m) = 0.
-28, -1
Let p(g) = 3*g**2 + 194*g + 3267. Let c(r) = -2*r. Let b(m) = -2*c(m) + p(m). Find k such that b(k) = 0.
-33
Let f(i) = i**4 + 19*i**3 - 92*i**2 - 2. Let t(k) = 4*k**4 + 56*k**3 - 277*k**2 - 7. Let r(y) = -21*f(y) + 6*t(y). Solve r(j) = 0.
0, 6, 15
Factor -56/19*z**2 + 34/19*z + 26/19*z**3 - 4/19.
2*(z - 1)**2*(13*z - 2)/19
Let x be (1 + 3)*2/56*35 + (-481)/(-111). Solve 2/3*y**2 + x - 10*y = 0.
1, 14
Let -186 + 3/4*k**3 - 3/4*k + 186*k**2 = 0. Calculate k.
-248, -1, 1
Let l(a) = 17*a**2 + 15*a - 130. Let b be l(8). Let z be 10 + (b/21)/(-7). Factor z*x - 4/3 - 4/3*x**2.
-4*(x - 1)**2/3
Let x(u) be the third derivative of u**6/180 - 2*u**5/15 + u**2 - u - 37. Factor x(a).
2*a**2*(a - 12)/3
Let q(v) = 174*v**2 - 6*v - 8. Suppose 9*t + 11 = -7. Let n be q(t). Factor n*k**2 - 2 + 160*k + 49*k - 44*k - 8.
5*(7*k + 2)*(20*k - 1)
Suppose 0 = 3*y - 275 + 74. Suppose -y = -11*g - 23. What is q in 165*q**3 + 45*q**2 - 254*q**3 + 5*q**g + 119*q**3 = 0?
-3, 0
Let b be 2/12*2*(5585 + -5569). Solve 2/3*d**2 + b*d + 0 = 0 for d.
-8, 0
Solve 83544/5 - 1428/5*r**3 + 6/5*r**4 - 168504/5*r + 86382/5*r**2 = 0 for r.
1, 118
Let a be 2/(-5) + 2320/2800. Factor -12/7*p - a*p**4 + 0 - 33/7*p**2 + 3/7*p**5 - 27/7*p**3.
3*p*(p - 4)*(p + 1)**3/7
Let x be 11*1221/1815 + -7. Determine n so that 16/5*n - x*n**4 - 16/5*n**3 + 32/5 - 6*n**2 = 0.
-4, -1, 1
Let v(b) = b**2 + 34*b + 61. Let i be v(-33). Suppose 24*u - i = 10*u. Factor 44/9*r - 8/9 - 4*r**u.
-4*(r - 1)*(9*r - 2)/9
Let b = -2741335/9 + 304593. Factor -32/9*h - 2/9*h**2 + b*h**3 - 40/9.
2*(h - 5)*(h + 2)**2/9
Determine v, given that 2/3*v**3 - 10/3*v**2 + 16/3 + 4/3*v = 0.
-1, 2, 4
Let h = 1284869 - 1284867. Find b such that b**4 + 0 + 17/3*b**3 - 32/3*b**h - 28/3*b = 0.
-7, -2/3, 0, 2
Let z(j) be the third derivative of -85*j**8/336 - 29*j**7/70 - j**6/60 - 1775*j**2. Let z(a) = 0. Calculate a.
-1, -2/85, 0
Let x be 2/(-8) - 3150/(-2280) - (10/(-20) + 1). Determine b, given that -2/19*b**2 + 14/19 + x*b = 0.
-1, 7
Let f(x) be the second derivative of 3*x**5/40 - 65*x**4/72 + 26*x**3/9 - 5*x**2/3 + 13*x + 2. What is q in f(q) = 0?
2/9, 2, 5
Let z = -289292/9 + 32144. Let k(m) be the first derivative of -4/9*m + z*m**3 - 4/9*m**2 - 12. Factor k(c).
4*(c - 1)*(3