be m(-2). Let l = 211 + -199. Factor -9*r + 39*r**4 + 3*r - 33*r**2 - q*r**3 - l*r**4.
3*r*(r - 2)*(3*r + 1)**2
Let p(s) be the third derivative of s**7/600 - 23*s**6/1800 + s**5/100 + 34*s**3/3 + 54*s**2. Let w(y) be the first derivative of p(y). Factor w(g).
g*(g - 3)*(7*g - 2)/5
Factor -2/17*i**4 + 56623104/17*i - 442368/17*i**2 - 2717908992/17 + 1536/17*i**3.
-2*(i - 192)**4/17
Factor 8 + 4508*i - 2948*i**2 + 169*i**2 - 1737*i**2.
-4*(i - 1)*(1129*i + 2)
Let x(g) = 30*g - 148. Let b be x(6). Factor 75 - 21 - 2*k - b - 22 + 2*k**3.
2*k*(k - 1)*(k + 1)
Let h(t) be the first derivative of -t**6/60 + 21*t**5/25 + 23*t**4/20 - 64*t**3/15 - 9*t**2/4 + 43*t/5 + 2409. Solve h(s) = 0.
-2, -1, 1, 43
Let v be -6 + 292/(-36) - 15/(-1). Solve v*y - 8/9 - 4/9*y**3 - 2/9*y**4 + 2/3*y**2 = 0.
-2, 1
Find t such that -1/4*t**4 + 0*t**3 + 177/4*t**2 + 165 - 169*t = 0.
-15, 2, 11
Let f = -152 - -156. Find i such that f*i**2 + 19 + 36*i - 3*i**2 + 35 + 270 = 0.
-18
Let s(g) = 8*g**2 - 12*g + 1. Let c be s(12). Let p = c + -605. Factor -40*x**3 - 128*x**2 - 4*x**4 - p + 404 - 128*x.
-4*x*(x + 2)*(x + 4)**2
Solve -1/4*o**5 + 5/4*o**4 + 9/2*o - 21/4*o**2 + 0 - 1/4*o**3 = 0 for o.
-2, 0, 1, 3
Let w(z) be the first derivative of 3*z**4/20 + 21*z**3/5 + 156*z**2/5 - 900. Factor w(i).
3*i*(i + 8)*(i + 13)/5
Let t(a) be the third derivative of -a**7/1575 - 47*a**6/900 - 41*a**5/50 - 117*a**4/20 - 114*a**3/5 + 7*a**2 + 73. Factor t(u).
-2*(u + 3)**3*(u + 38)/15
Let n = -31 + 21. Let d be 5*-6*1/n. Factor 38/5*t**d - 10*t**2 + 32/5*t - 8/5 + 2/5*t**5 - 14/5*t**4.
2*(t - 2)**2*(t - 1)**3/5
Let a be (-3 + 46)*(6 + -3)*173. Factor -4*s**2 + 2*s**2 + s**5 + a*s**3 - 22320*s**3.
s**2*(s - 2)*(s + 1)**2
Let g = -39 - -11. Let f be ((g/(-6))/7)/((-4)/(-18)). Solve -12*r**4 - r**4 - 6*r**4 + 25*r**2 + 95*r**f - r**4 = 0.
-1/4, 0, 5
Suppose 62*b - 239 = -56*b + 233. Let l(p) be the first derivative of 15/2*p**2 + 0*p - 20/3*p**3 + 5/4*p**b + 16. Suppose l(v) = 0. What is v?
0, 1, 3
Suppose 42*v = v + 10045. Let c = -245 + v. Determine y, given that 2/5*y**2 + c - 2/15*y**4 - 4/15*y + 0*y**3 = 0.
-2, 0, 1
Suppose 320*k - 284*k - 144 = 0. Let z(f) be the first derivative of -k - 4*f - 2/3*f**3 - 3*f**2. Determine i so that z(i) = 0.
-2, -1
Suppose 0 = -13*t + 15*t - 20. Suppose -t*q - 10 = -15*q. Suppose q*g - 3*g - g - 3 - 5*g**2 + 6*g**2 = 0. What is g?
-1, 3
Let r(h) = -h**3 - 8*h**2 - 12*h + 2. Let q be r(-6). Let n(u) = -u**2 + 10*u - 14. Let o be n(q). Factor 6*w + 3/2*w**o + 6.
3*(w + 2)**2/2
Let h be (-686)/(-4802) + ((-1)/21 - 0). Factor -h*p**5 + 2/21 - 20/21*p**3 - 10/21*p + 10/21*p**4 + 20/21*p**2.
-2*(p - 1)**5/21
Let g(p) be the third derivative of p**7/70 + p**6/5 - 89*p**5/20 + 57*p**4/2 - 90*p**3 - 6086*p**2 + p. Let g(s) = 0. Calculate s.
-15, 2, 3
Suppose 64 = 2*n - 4*j, 2*n + 3*j + 145 = 125. Suppose n + 2/7*y**3 + 114/7*y + 60/7*y**2 = 0. Calculate y.
-28, -1
Let m(l) be the first derivative of -3/2*l - 3/8*l**4 - 3/2*l**3 + 5 - 9/4*l**2. Suppose m(v) = 0. What is v?
-1
Suppose o + 2*l + 3 = -21, -64 = 3*o - 2*l. Let a = -19 - o. Find g such that -7*g**3 - 14*g**2 - 5*g**3 + a + 17*g**3 + 7*g - 1 = 0.
-1/5, 1, 2
Let c(s) = 2*s**2 + 87*s + 885. Let k(x) = 9*x - 7. Let m(p) = 2*p - 2. Let u(t) = k(t) - 4*m(t). Let r(d) = -c(d) + 3*u(d). Factor r(j).
-2*(j + 21)**2
Let i(u) = 3*u**3 + 18*u**2 + 189*u + 240. Let w(p) = p**3 - p**2 + 2*p + 1. Let v(k) = -i(k) + 6*w(k). Factor v(x).
3*(x - 13)*(x + 2)*(x + 3)
Let v(p) be the first derivative of -p**8/5880 + p**6/210 - 2*p**5/105 + p**4/28 + 2*p**3/3 - 9*p - 250. Let k(m) be the third derivative of v(m). Factor k(i).
-2*(i - 1)**3*(i + 3)/7
Let r(x) = 18*x**3 + 142*x**2 - 17*x - 4. Let f be r(-8). Let c be -3 - ((-59)/5)/1. Solve -6/5*m**f + c*m**3 + 0 - 64/5*m**2 - 64/5*m = 0 for m.
-2/3, 0, 4
Let m(l) = -2*l - 37. Let v be m(-18). Let p be v/(-2) + 255/34. Find x, given that 3*x**2 - 10 - p*x - 7*x + 22 + 0*x**2 = 0.
1, 4
Let j(u) = u - 2. Let m be j(6). Suppose 0 = m*x - x - 6. Factor -12*n**x + 49*n**5 + 104*n**2 + 42*n**4 - 199*n**3 + 28*n**4 - 12*n + 0*n**2.
n*(n - 1)*(n + 3)*(7*n - 2)**2
Suppose -14*g = -11*g - 63. Let u = g - 3. Factor -q**3 + 6*q - 6*q**2 - 94 + 86 - u*q.
-(q + 2)**3
Let s be ((-291)/9)/((-3)/45). Let b = s - 482. What is p in 6/13*p - 6/13*p**2 - 2/13 + 2/13*p**b = 0?
1
Suppose 16*j = -9*j + 50. Factor -89*p**3 + 72 + 172*p**3 - 87*p**3 - 84*p + 32*p**j.
-4*(p - 3)**2*(p - 2)
Let w(u) be the second derivative of u**4/12 - 11*u**3/4 + 29*u**2/2 - 3924*u. Suppose w(a) = 0. Calculate a.
2, 29/2
Let h = 10192 - 10192. Let q(m) be the third derivative of 0*m + 1/210*m**5 + h*m**3 + 1/84*m**4 + 0 + 12*m**2. Solve q(o) = 0 for o.
-1, 0
Let d(f) be the second derivative of f**5/40 + 11*f**4/8 + 29*f**3/2 - 52*f**2 - 297*f - 3. Factor d(o).
(o - 1)*(o + 8)*(o + 26)/2
Let g(x) = -14*x**4 - 20*x**3 - 72*x**2 - 111*x - 54. Let y(d) = 10*d**4 + 20*d**3 + 72*d**2 + 110*d + 54. Let l(f) = -4*g(f) - 6*y(f). Let l(h) = 0. What is h?
-3, -1
Let w(z) = 14*z**4 + 5*z**3 - 17*z**2 + 13*z + 3. Let c(l) = -32*l**4 - 11*l**3 + 33*l**2 - 25*l - 7. Let h(n) = -6*c(n) - 14*w(n). Factor h(a).
-4*a*(a - 2)*(a - 1)*(a + 4)
Let g(s) be the first derivative of 0*s - 10/3*s**3 - 81 - 25/4*s**4 + 0*s**2 - 2*s**5. Factor g(m).
-5*m**2*(m + 2)*(2*m + 1)
Let o be 59*(-366)/53985*18/(-4). Find f, given that 54/5 - o*f + 3/5*f**3 - 12/5*f**2 = 0.
-2, 3
Let x be -3 - (189/(14 + 13) + 43/(-2)). Factor -33/4*q - 9/4*q**4 - 9/4 - x*q**2 - 15/2*q**3 - 1/4*q**5.
-(q + 1)**3*(q + 3)**2/4
Factor -2484/5*j**3 - 259584/5 - 6/5*j**4 + 516672/5*j - 254598/5*j**2.
-6*(j - 1)**2*(j + 208)**2/5
Let h(s) be the second derivative of -s**8/560 - 2*s**7/175 - 3*s**6/200 - 91*s**2/2 - 87*s. Let x(m) be the first derivative of h(m). Factor x(z).
-3*z**3*(z + 1)*(z + 3)/5
Let r(f) be the first derivative of 35*f**6/6 + 44*f**5 - 395*f**4/4 - 3280*f**3/3 - 1710*f**2 - 720*f + 7941. Solve r(d) = 0 for d.
-6, -3, -1, -2/7, 4
Let x(z) be the second derivative of -z**9/105840 + z**8/3920 + 13*z**7/17640 + z**4/6 - 5*z**2 - z - 7. Let h(i) be the third derivative of x(i). Factor h(s).
-s**2*(s - 13)*(s + 1)/7
Let f(o) be the first derivative of 23*o**8/280 + 67*o**7/420 - o**6/90 + 67*o**3/3 - 142. Let t(g) be the third derivative of f(g). Factor t(z).
2*z**2*(z + 1)*(69*z - 2)
Suppose -9 = -7*s + 4*s. Let s*j**2 + 197*j**3 - 10*j**2 - 196*j**3 + 10*j = 0. Calculate j.
0, 2, 5
Let d = -7909 - -7912. Let i(q) be the second derivative of -1/70*q**5 + 5/42*q**4 + 0*q**2 + 0 - 1/105*q**6 - 1/7*q**d - 13*q. What is w in i(w) = 0?
-3, 0, 1
Let w(d) be the second derivative of 9*d**5/80 + 83*d**4/16 + 53*d**3/8 - 81*d**2/8 + 1221*d. Factor w(b).
3*(b + 1)*(b + 27)*(3*b - 1)/4
Suppose 11 = -3*p + 2*s, 7*s = -3*p + 3*s + 13. Let y be (-22)/44*(p - 5). Solve 12*x**3 + 11*x**3 - 22*x**y = 0 for x.
0
Let a = -6/253 + 277/1012. Let w = 1/76 + 17/152. Solve a*j**3 + 0 - w*j**4 - 1/4*j + 1/8*j**2 = 0 for j.
-1, 0, 1, 2
Let r be (138/4554)/(1/102). Factor r*o**2 + 16/11 + 50/11*o.
2*(o + 1)*(17*o + 8)/11
Let l = -24431708628/1375 + 17768517. Let n = 23/125 + l. Factor -n*p + 50/11 + 2/11*p**2.
2*(p - 5)**2/11
Let l(b) be the third derivative of b**5/6 + 5*b**4 - 363*b**3 - 107*b**2. Let a(u) = 8*u**2 + 122*u - 2178. Let s(c) = 6*a(c) - 5*l(c). Factor s(i).
-2*(i - 33)**2
Determine f so that 450/7*f**5 - 253632/7*f**2 - 4096/7 + 62976/7*f + 89288/7*f**3 - 1560*f**4 = 0.
2/15, 8
Let h(f) be the first derivative of f**6/90 - f**5/6 + 2*f**4/3 - 43*f**3/3 - 22. Let z(o) be the third derivative of h(o). Find u, given that z(u) = 0.
1, 4
Let c(f) be the second derivative of f**5/80 - 95*f**4/24 + 563*f**3/24 - 187*f**2/4 - 14348*f. Determine n, given that c(n) = 0.
1, 2, 187
Let o(a) = -8*a**4 - 233*a**3 - 703*a**2 - 638*a - 190. Let l(i) = 11*i**4 + 311*i**3 + 937*i**2 + 851*i + 253. Let c(j) = 10*l(j) + 13*o(j). Solve c(t) = 0.
-10, -2, -1, -1/2
Find x such that 378*x**2 - 756*x**2 - 898*x - 410 + 376*x**2 - 486 = 0.
-448, -1
Let p = -1068 + 1085. Let c(w) be the second derivative of 1/8*w**4 - 3*w**2 + 0*w**3 + 0 + p*w. Suppose c(j) = 0. What is j?
-2, 2
Let u = 11231586/15185 - 152/3037. Factor -2/5*g**2 - u - 172/5*g.
-2*(g + 43)**2/5
Let n(p) = -2*p - 8*p + 14*p - 5*