se 0 = -4*v + z - 467. Factor 11/4*q**v - 1/4*q**4 - 1/2*q**3 + 3*q - 9.
-(q - 2)**2*(q + 3)**2/4
Suppose 17*f - 27 = 143. Suppose 4 = -2*a + f. Factor 6/7*p + 0*p**4 + 4/7*p**2 - 4/7 - 8/7*p**a + 2/7*p**5.
2*(p - 1)**3*(p + 1)*(p + 2)/7
Let j(s) = -4*s - 45. Let u be j(-12). Let r be -2 + u/(-24)*-18. Factor 1/4 + r*a**2 + 1/2*a.
(a + 1)**2/4
Let v(u) be the second derivative of -u**6/240 + 7*u**5/160 - 7*u**4/48 + u**3/6 - 817*u. Let v(n) = 0. Calculate n.
0, 1, 2, 4
Let k(l) be the first derivative of -57/2*l**2 + 0*l - l**3 + 63. Suppose k(v) = 0. What is v?
-19, 0
Let j(c) be the first derivative of -2*c**4/3 + 14*c**3/3 + 8*c**2 - 89*c + 118. Let l(s) be the first derivative of j(s). Determine d, given that l(d) = 0.
-1/2, 4
Let z(i) be the first derivative of -3*i**4/16 + 97*i**3/4 + 297*i**2/4 - 3255. Factor z(h).
-3*h*(h - 99)*(h + 2)/4
Let b(a) be the first derivative of -a**5/20 - 29*a**4/16 + 61*a**3/12 - 31*a**2/8 - 2064. Suppose b(c) = 0. What is c?
-31, 0, 1
Let s(o) be the second derivative of -o**5/4 + 735*o**4/2 - 216090*o**3 + 63530460*o**2 - 264*o + 3. Factor s(q).
-5*(q - 294)**3
Let m = -34810 + 139241/4. Let c(b) be the second derivative of 47*b + 0 - 216*b**2 + 12*b**3 - m*b**4. Suppose c(u) = 0. Calculate u.
12
Let b be 3/((-30)/(-32))*225/18. Let -4*j**4 + 41*j**5 + 44*j**5 - 127*j**5 - j**4 - 3*j**3 + b*j**5 = 0. What is j?
-3/2, -1, 0
Let g(v) be the second derivative of -v**4/4 + 9*v**3/2 + 15*v**2 + 2*v - 136. Factor g(l).
-3*(l - 10)*(l + 1)
Let o(t) be the first derivative of 3*t**5/5 + 297*t**4/2 + 9189*t**3 - 90882*t**2 + 280908*t - 737. Determine n so that o(n) = 0.
-102, 3
Let w(p) be the second derivative of -p**4/3 - 19*p**3/6 + 17*p**2 + 276*p. Let t be w(-6). Suppose 22*g**2 - 4*g - 39*g**3 + 0 + 45/2*g**t = 0. Calculate g.
0, 2/5, 2/3
Factor -9 + b**2 + 4*b**2 + 99 + 1421*b - 1476*b.
5*(b - 9)*(b - 2)
Let s(h) be the third derivative of -h**5/90 + 1607*h**4/108 - 1070*h**3/27 - 3*h**2 - 5. Factor s(l).
-2*(l - 535)*(3*l - 2)/9
Suppose -2*a - 26 + 20 = 0. Let h be (60/(-18) - a)/(1/(-12)). Determine r, given that 4*r**3 + 3*r**5 + 6*r**h - 2*r**3 + r**3 = 0.
-1, 0
Suppose 2*q - 61*l + 65*l = 54, 4*q - 56 = 5*l. Let v(a) be the second derivative of -1/3*a**3 + q*a - 5/6*a**2 - 1/36*a**4 + 0. Solve v(r) = 0 for r.
-5, -1
Let v be 2 + -9*(-15)/(-100). Let o = 303/220 - v. Factor -o*n + 2/11*n**2 + 8/11.
2*(n - 2)**2/11
Let r(y) be the second derivative of -1/3*y**3 + y - 31 + 3*y**2 - 1/24*y**4. Find c, given that r(c) = 0.
-6, 2
Let u(o) = 47*o - 94. Let b be u(2). Let y(h) be the second derivative of 0 - 5*h + 4/7*h**4 - 16/21*h**3 + b*h**2 - 9/70*h**5. Factor y(m).
-2*m*(3*m - 4)**2/7
Let r be 1 - (-5)/(20/112). Let i = r - 24. Determine j so that 7*j**i - 8*j**5 + 5*j**4 + 6*j**5 - 10*j**3 = 0.
-2, 0, 1
Let n(h) = 12*h**4 - 467*h**3 + 692*h**2 - 225*h - 2. Let f(d) = -25*d**4 + 935*d**3 - 1390*d**2 + 450*d + 5. Let t(c) = 2*f(c) + 5*n(c). Solve t(r) = 0 for r.
0, 1/2, 1, 45
Factor -15*s + 10/3*s**2 - 175/3.
5*(s - 7)*(2*s + 5)/3
Let k = -575 + 8629/15. Let d = -13/4400 + 1799/13200. What is w in k*w + d*w**2 - 2/15*w**3 + 0 = 0?
-1, 0, 2
Let a(s) be the first derivative of s**8/560 - 27*s**7/1400 + s**6/60 + 104*s**3/3 + 23. Let n(f) be the third derivative of a(f). Solve n(y) = 0.
0, 2/5, 5
Let x(b) = 3*b + 9. Let u be x(-2). Suppose -7*s + 6*s + 30 = u*r, -3*r + 4*s = -30. Factor -5/2 - r*a - 15*a**2 - 5/2*a**4 - 10*a**3.
-5*(a + 1)**4/2
Let f(q) be the third derivative of 2*q**7/105 + 299*q**6/30 - 301*q**5/15 - 299*q**4/6 + 200*q**3 - 244*q**2 + 3*q. Solve f(x) = 0 for x.
-300, -1, 1
Let w = 20109571/30 - 670220. Let z = 595/6 - w. Let 0*k**3 + 0*k - z*k**4 + 0*k**2 - 2/15*k**5 + 0 = 0. What is k?
-1, 0
Let z(p) be the first derivative of p**5 + 2*p**4 + 2*p**3 + p**2/2 - 1. Let m(i) = -i**5 - i**3 - i**2 - i. Let y(a) = 3*m(a) - 3*z(a). Factor y(k).
-3*k*(k + 1)**3*(k + 2)
Suppose u + 3*o - 55 = 0, -4*u + 215 = u - 5*o. Suppose 6 = -44*s + u*s. Factor -1/2*r - 1/2*r**s + 0 + r**2.
-r*(r - 1)**2/2
Let p(g) be the third derivative of g**8/1008 + g**7/210 - 17*g**6/120 + 53*g**5/180 + 35*g**4/12 - 12*g**3 + 7176*g**2. Determine u so that p(u) = 0.
-9, -2, 1, 3, 4
Factor 670*a + a**4 - 647*a - 7*a**3 - 17 + 0*a**4 + 3 - 3*a**2.
(a - 7)*(a - 1)**2*(a + 2)
Suppose 2*g = 4*s, 0*s - s + 5*g = 0. Suppose -2*o = -s*o - 4. Factor -1 - 5*u**3 + 2*u + 10*u**o - 6 + 3*u - 3.
-5*(u - 2)*(u - 1)*(u + 1)
Let j be -6 + -6*(12/(-2) - -4). Let f be ((-2)/30)/(1*(-1)/j). Factor -4/5*o**2 - f*o**4 + 0 + 0*o - 6/5*o**3.
-2*o**2*(o + 1)*(o + 2)/5
Let m(f) be the third derivative of -1/100*f**6 + 0 + 0*f - 6*f**2 - 1/15*f**4 - 1/25*f**5 - 17/6*f**3. Let p(t) be the first derivative of m(t). Factor p(r).
-2*(3*r + 2)**2/5
Let f(j) = j**3 + 33*j**2 + 61*j - 45. Let d be f(-31). Let l be d/10*4/(-14). Factor l*x**3 - 1/5*x**4 + 4/5*x**2 - 8/5*x + 0.
-x*(x - 2)**2*(x + 2)/5
Let w(g) be the first derivative of -4*g**2 + 2*g**4 + 0*g + 4/3*g**3 + 42 - 4/5*g**5. Suppose w(s) = 0. Calculate s.
-1, 0, 1, 2
Find l, given that 179484*l - 6655*l**4 + 210695 + 31737*l + 133839*l - 6575 + 13915*l**3 + 175230*l**2 = 0.
-18/11, 7
Let k(q) = -q**2 + 21*q + 103. Let m be k(25). Factor 2*l + l**2 + 3*l + 7*l**m + l - 16*l**3 - 3*l**4 + 2*l**2 + 3*l**5.
3*l*(l - 2)*(l - 1)*(l + 1)**2
Let z = -202650 - -202654. Factor -9/2*p + p**z - 9/2*p**3 + 7*p**2 + 1.
(p - 2)*(p - 1)**2*(2*p - 1)/2
Let i(y) = -4*y**3 - 26*y**2 - 60*y + 6. Let m(t) = -t**2 - 1. Let p = -284 - -278. Let u(o) = p*m(o) - i(o). Factor u(w).
4*w*(w + 3)*(w + 5)
Let q(c) = -35*c + 220. Suppose 9*o - 4*o + 2*m = 22, -2*m = -4*o + 32. Let b be q(o). Find a such that 5/2*a**4 - b*a**3 - 5*a + 25/2*a**2 + 0 = 0.
0, 1, 2
Factor 2*h**4 - 7*h**4 - 270*h**3 - 6*h**4 + 12*h**4 + 2*h**4.
3*h**3*(h - 90)
Let t = 211179/2 + -105588. Let m(a) = -a**2 + 2*a + 4. Let g be m(2). Solve -2*i + t*i**5 + 7*i**g + 0 + 2*i**2 + 19/2*i**3 = 0.
-2, -1, 0, 1/3
Let h(l) be the first derivative of 5*l**4/12 + 25*l**3/3 - 235*l**2/3 + 200*l - 100. Solve h(y) = 0 for y.
-20, 2, 3
Suppose -30 = 23*v - 33*v. Factor -6*w**3 + 36*w - w**4 - 10 - 2*w**4 - 29 + 21*w**2 - 30*w**v + 21*w**2.
-3*(w - 1)**2*(w + 1)*(w + 13)
What is o in 212*o**2 + 116/3*o + 3*o**5 + 0 - 178*o**4 + 685/3*o**3 = 0?
-1/3, 0, 2, 58
Let x be ((-18)/(-63))/(395/790). Factor -16/7*l + 0 + x*l**2.
4*l*(l - 4)/7
Let c(i) be the third derivative of 2*i**7/525 - 8*i**6/15 + 77*i**5/75 + 79*i**4/15 + 1156*i**2. Find v such that c(v) = 0.
-1, 0, 2, 79
Factor -438/5 + 436/5*l + 2/5*l**2.
2*(l - 1)*(l + 219)/5
Let s(w) be the second derivative of 1 - 8/21*w**3 + 1/42*w**4 + 18*w + w**2. Determine k so that s(k) = 0.
1, 7
Let o(h) be the third derivative of -19*h**6/280 + 11*h**5/20 + 13*h**4/8 - 5*h**3/14 - 812*h**2. Let o(w) = 0. What is w?
-1, 1/19, 5
Let a(i) = i**3 - 41*i**2 - 67*i + 38. Let q be a(-2). Determine l, given that q*l**4 + 0 - 6/5*l - 16/5*l**2 + 2/5*l**5 - 12/5*l**3 = 0.
-1, 0, 3
Let o(l) be the third derivative of l**8/840 - l**7/90 + 49*l**6/1080 + l**5/60 - l**2 - 60. Let v(c) be the third derivative of o(c). Factor v(b).
2*(6*b - 7)**2/3
Suppose 454 = -104*f + 662. Let h(g) be the first derivative of 42 - 1/6*g - 1/4*g**f - 1/9*g**3. Find b such that h(b) = 0.
-1, -1/2
Let t = -23282/15 - -1604/5. Let z = t - -1232. Find q, given that -5/6*q**5 + z*q**2 + 0 + 2*q**3 + 1/2*q**4 + 0*q = 0.
-1, -2/5, 0, 2
Let j = -31/11106 + 66791/55530. Find l, given that 8/5*l**4 + 0 - 2/5*l + 0*l**3 - j*l**2 = 0.
-1/2, 0, 1
Let n(y) be the first derivative of 2*y**5/25 + 57*y**4/5 + 366*y**3 - 29768*y**2/5 + 2260. Factor n(q).
2*q*(q - 8)*(q + 61)**2/5
Let a be 1*(0 + 1) + 78650/(-79090). Let s = 1426/2157 + a. Factor s*g**2 - 4/3 - 2/3*g.
2*(g - 2)*(g + 1)/3
Let a = -260 - -266. Let -7*t - 24 - 15*t + 4*t**2 - 2*t**2 + a*t + 0*t + 2*t**3 = 0. What is t?
-2, 3
Let h(r) = -3*r**3 - 515*r**2 + 1216*r - 343. Let a be h(-174). Suppose -3 = 2*c - 9. Solve 3/7*q**2 + 3/7*q**c + 0*q - 3/7*q**a + 0 - 3/7*q**4 = 0 for q.
-1, 0, 1
Let 0*p**2 - 2/25*p**3 - 20 + 6*p = 0. Calculate p.
-10, 5
Factor 0*t - 2/15*t**4 - 28/3*t**3 - 490/3*t**2 + 0.
-2*t**2*(t + 35)**2/15
Let r(y) be the first derivative of y**5/90 - y**4/36 - 2*y**3/9 - 59*y**2/2 + 3. Let 