se 76/3*p**2 + 2/9*p**4 + 280/9*p + 40/9*p**3 - 550/9 = 0. What is p?
-11, -5, 1
Let p(a) = -4842*a + 18. Let c be p(-2). Factor -663*y - 1232*y - 1009*y - 2*y**3 - 30998 + c - 132*y**2.
-2*(y + 22)**3
Let z = -26981 + 26984. What is w in -54/5*w**2 + 0*w - 3/5*w**5 + 12/5*w**4 + 9/5*w**z + 0 = 0?
-2, 0, 3
Let i(l) be the first derivative of 1/2*l**4 - 1/15*l**6 - 1/10*l**5 - 4*l - 2*l**2 + 1/3*l**3 - 10. Let m(k) be the first derivative of i(k). Factor m(c).
-2*(c - 1)**2*(c + 1)*(c + 2)
Suppose 3*b + 7 = -2*z, 15 + 14 = z - 5*b. Factor -15*y + 9*y**2 - 3*y**z + y + 11*y + 3*y**3 - 6.
-3*(y - 2)*(y - 1)*(y + 1)**2
Let x(q) be the first derivative of q**6/10 - 3*q**5/10 + q**4/4 + 34*q + 50. Let y(h) be the first derivative of x(h). Determine d so that y(d) = 0.
0, 1
Let o be (-636104)/879120 - (-16)/22. Let x(i) be the third derivative of -11/54*i**4 + 121/27*i**3 + 0*i + 0 + 6*i**2 + o*i**5. Suppose x(j) = 0. What is j?
11
Let g(q) = -4*q**2 + 4*q - 1. Let d(r) = 11*r**2 - 11*r + 2. Suppose -2*b - 1 = -23. Suppose 9*j - b*j = 6. Let z(v) = j*d(v) - 8*g(v). Let z(m) = 0. What is m?
-1, 2
Let s be 15/198*(38 + 19224/(-540)). Determine v, given that -s*v**2 + 32/11 - 30/11*v = 0.
-16, 1
Let q = 380 - 397. Let d be (q - -3)/14 + 98/6. Let -d*y**3 + 31/3*y**2 + 4/3*y + 5*y**4 - 4/3 = 0. What is y?
-1/3, 2/5, 1, 2
Factor -1556068/5 - 4/5*q**3 - 63948/5*q - 876/5*q**2.
-4*(q + 73)**3/5
Let d be (-2)/(-2 - (0 - 15/9)). Let r(m) = -m**2 + 3*m + 20. Let w be r(d). Factor -13*z + 7*z + 4*z - z**w + 3.
-(z - 1)*(z + 3)
Solve -4396*q**2 + 2530*q**3 + 1904*q**2 - 1273*q - 27*q - 4323*q**2 + 605*q**4 - 85 + 25 = 0.
-6, -1/11, 2
Factor 120*q**2 + 7*q**4 - q**4 - 143*q + 68*q**3 - 2*q**4 + 143*q.
4*q**2*(q + 2)*(q + 15)
Let z(f) = -f**3 - 3*f**2 + 39*f - 3. Let c be z(-8). Let -h**3 + 76 + 120 + 188*h**2 - c*h**3 + h**3 + 388*h + h**3 = 0. Calculate h.
-1, 49
Let w be (-14)/(-6) - (-406)/609. Let i(k) be the second derivative of 8*k - 1/12*k**5 + 0 + 0*k**w + 0*k**2 + 5/18*k**4 - 1/18*k**6. Let i(h) = 0. What is h?
-2, 0, 1
Let k(g) be the third derivative of 0*g - 1 - 2/3*g**3 + 1/30*g**5 + 1/12*g**4 - 12*g**2. Factor k(v).
2*(v - 1)*(v + 2)
Suppose 20*g + 56 = 6*g. Let r(v) = -v**3 - 5*v**2 - 5*v - 1. Let a be r(g). What is o in -38*o**2 - a*o**4 + 35*o**2 - 3*o**5 + 3*o**3 + 6*o**4 = 0?
-1, 0, 1
Let p = 230 + -228. Solve -2 + 4*q**3 + 502*q**2 - 490*q**2 + p = 0.
-3, 0
Let i(c) be the first derivative of 1/150*c**5 - 15 + 2*c**2 + 1/30*c**4 + 0*c + 0*c**3. Let h(r) be the second derivative of i(r). Solve h(n) = 0 for n.
-2, 0
Let a(r) be the first derivative of 7*r**6/36 + 34*r**5/15 - 23*r**4/8 - 217*r**3/9 + 137*r**2/3 - 20*r - 1459. Suppose a(x) = 0. What is x?
-10, -3, 2/7, 1, 2
Solve 1783*s - 73315 - 96617 - 355*s - 3*s**2 = 0.
238
Let b be -7 + 7272/(-117) + 11. Let r = 4549/78 + b. Factor 1/3*w**3 + r*w**2 + 0 + 0*w + 1/6*w**4.
w**2*(w + 1)**2/6
Let f(v) be the second derivative of -v**4/6 - 214*v**3/3 + 432*v**2 + 1396*v. Find t such that f(t) = 0.
-216, 2
Let d be -2 + 9/((-9)/2). Let u be 176/77 + d/14. Let m**4 + 29*m - 16*m + 4 - 2*m**3 - 9*m - 3*m**u = 0. Calculate m.
-1, 2
Let s(k) = -3*k**2 + 3*k - 8. Let q(t) = t - 2. Let n(d) = -6*q(d) + s(d). Let o(z) = -3*z**2 - 6*z + 3. Let a(c) = -3*n(c) + 2*o(c). Factor a(u).
3*(u - 2)*(u + 1)
Let c(s) be the first derivative of s**7/280 + s**6/40 - s**5/10 - 8*s**3 + s**2/2 - 102. Let r(j) be the third derivative of c(j). Factor r(i).
3*i*(i - 1)*(i + 4)
Let l(g) = -3*g + 40. Let u be l(12). Factor -2*q**4 + 23*q**4 - 2*q**4 - 7*q**u - 8*q**4.
4*q**4
Suppose 7 = 3*r - f, -2*f = -4*r + f + 6. Let p(i) = -10*i - 82. Let q be p(-10). Factor 53*b**3 + 80*b**2 + 13*b + 10 - q*b**r + 42*b.
5*(b + 1)**2*(7*b + 2)
Let x = -5/123 - 13/1025. Let m = x + 34/75. Determine z so that -m*z + 0 + 0*z**2 + 2/5*z**3 = 0.
-1, 0, 1
Let y(t) be the first derivative of -t**4/10 + 9*t**3/10 + 39*t**2/20 + 4*t/5 + 5277. Factor y(i).
-(i - 8)*(i + 1)*(4*i + 1)/10
Let u(w) = -7*w**4 + 195*w**3 - 2700*w**2 + 2500*w. Let m(z) = -36*z**4 + 972*z**3 - 13500*z**2 + 12500*z. Let f(x) = 3*m(x) - 16*u(x). Solve f(q) = 0 for q.
0, 1, 25
Let m be (-8)/(-40) - (-18)/10. Suppose -s + 16 = -m*s + 5*t, -4*t = 5*s - 36. Determine a so that -3*a + 12*a**2 + 8*a**s + 26*a**3 - 8*a**3 + 5*a = 0.
-1, -1/4, 0
Let w be ((-56)/49 + 0)*4/(-9 - 7). Factor 2/7*m**3 + 20/7 - w*m - 20/7*m**2.
2*(m - 10)*(m - 1)*(m + 1)/7
Suppose m + 4*d + 2 - 14 = 0, 4*m - 10 = 3*d. Determine w, given that 4/11*w**3 + 4/11*w**2 - 6/11*w + 2/11 - 6/11*w**m + 2/11*w**5 = 0.
-1, 1
Find f such that -2/9*f**3 + 0 + 40/9*f**2 - 200/9*f = 0.
0, 10
Solve -96*y**2 + 3*y**3 - 4*y**3 + 222*y**2 + 3*y**3 = 0.
-63, 0
Factor -19456/9*u - 4/9*u**3 + 46208/3 - 584/9*u**2.
-4*(u - 6)*(u + 76)**2/9
Let d(j) be the first derivative of j**6/12 + 229*j**5/40 + 2537*j**4/32 + 2303*j**3/6 + 2121*j**2/4 + 198*j + 2966. Suppose d(h) = 0. What is h?
-44, -6, -1, -1/4
Let x(n) be the second derivative of n**5/160 - 3*n**4/16 - 55*n**3/48 + 75*n**2/4 - 7774*n. Factor x(r).
(r - 20)*(r - 3)*(r + 5)/8
Let b = 116 - 112. Solve 6*x**4 + 16*x**5 + 9*x**5 + b*x**4 + 23*x**3 + 30*x**2 - 88*x**3 = 0.
-2, 0, 3/5, 1
Factor 1/4*s**2 - 39*s + 152.
(s - 152)*(s - 4)/4
Let y(i) = -24*i**3 - 43*i**2 + 245*i + 1893. Let n(z) = -13*z**3 - 22*z**2 + 127*z + 946. Let d(u) = -11*n(u) + 6*y(u). Factor d(q).
-(q - 8)*(q + 7)*(q + 17)
Let s(w) = -w**2 - 10*w - 13. Let a be s(-8). Factor 9576*b**2 - 676*b**a + 7568 - 2589 - 23450*b + 5997 + 16*b**4 - 22806*b.
4*(b - 14)**3*(4*b - 1)
Let q(m) = -m**3 - 5*m**2 + 1455*m + 5838. Let v be q(-4). Factor 4 + 1/3*s**v + 13/3*s.
(s + 1)*(s + 12)/3
Let z be (1*-2 - -4) + (-4 - -195). Suppose -z = -8*j - 73. Factor -3*y**3 - 144*y + j*y**2 + 38 + 15*y**2 + 9*y**2 + 70.
-3*(y - 6)**2*(y - 1)
Let v(l) be the third derivative of 1/160*l**6 + 0*l**3 + 28*l**2 + 0*l - 47/80*l**5 + 0*l**4 + 3. Suppose v(d) = 0. What is d?
0, 47
Factor 165/2*w - 708 + 3/4*w**2.
3*(w - 8)*(w + 118)/4
Let h(q) = q**5 + 3*q**3 - q**2 + q - 1. Let g(v) = 9*v**5 - 14*v**4 + 57*v**3 - 47*v**2 + 23*v - 7. Let m(o) = g(o) - 7*h(o). Factor m(y).
2*y*(y - 2)**3*(y - 1)
Suppose 926*g - 3496 = -1261*g + 439*g. Factor 3/8*j**3 + 36501 + 4761/2*j + 207/4*j**g.
3*(j + 46)**3/8
Suppose 74*d - 52 = 96. Let g be 4*(3 - d) + (80 - 81). Factor -4/5*n**2 + 4/5*n**4 + 0 - 12/5*n + 12/5*n**g.
4*n*(n - 1)*(n + 1)*(n + 3)/5
Let p(x) be the third derivative of x**5/390 - 41*x**4/52 - 124*x**3/39 - 7*x**2 - 31. Determine b, given that p(b) = 0.
-1, 124
Let i be 328/820*75/6. Factor -i + 1125/4*w**3 + 80*w - 1425/4*w**2.
5*(w - 1)*(15*w - 2)**2/4
Let d = -329 + 329. Determine y, given that d*y**3 + 8*y**3 - 21*y**2 - 6*y**3 - 15*y**2 = 0.
0, 18
Factor -40 - 26/3*b**2 - 1/3*b**3 + 116/3*b.
-(b - 2)**2*(b + 30)/3
Factor 2/15*u**2 - 808/15*u - 54.
2*(u - 405)*(u + 1)/15
Let a(i) be the third derivative of -7*i**2 - 19/30*i**5 + 1/3*i**3 + 0*i - 2/3*i**4 - 1/6*i**6 - 4. Factor a(s).
-2*(s + 1)**2*(10*s - 1)
Let v = 7530 + -210811/28. Let n = v - 17/28. Determine c, given that n*c - 9/7*c**2 + 9/7 - 3/7*c**3 = 0.
-3, -1, 1
Let k be 2 + 742/(-42) - (13 + -33 - -4). Factor 0 + 5/3*v**2 + 7/3*v**3 + v**4 + k*v.
v*(v + 1)**2*(3*v + 1)/3
Let t(c) be the first derivative of 3*c**5/5 + 3*c**4 - 3*c**3 - 21*c**2 - 24*c - 423. Factor t(v).
3*(v - 2)*(v + 1)**2*(v + 4)
Let m(d) = 21*d + 2*d - 21 - 2*d**2 + 10*d + 3*d**2 - 46. Let h be m(2). Factor -1/5*y**2 + 1/5*y**5 - 3/5*y**4 + 0 + 3/5*y**h + 0*y.
y**2*(y - 1)**3/5
Let w be (-24)/(-84) + 24/14. Suppose -6 - 14 = -w*s. Factor -s*i - 2*i**2 - 20*i + 26*i.
-2*i*(i + 2)
Let d be ((-32090)/495*6)/((-5)/15). Let f = d + -1166. Factor -2/11*v**4 + 8/11*v + f*v**3 + 0 - 16/11*v**2.
-2*v*(v - 2)**2*(v - 1)/11
Let o be 1150/(-86825) + (-2120)/(-453). Find g, given that -56/3*g + o*g**3 - 12*g**2 + 10/3*g**4 - 16/3 = 0.
-2, -1, -2/5, 2
Let l(s) = 17*s**2 + 2131*s - 8. Let b(q) = -57*q**2 - 7101*q + 27. Let z(j) = 8*b(j) + 27*l(j). Factor z(h).
3*h*(h + 243)
Factor 344/7 + 12/7*i**2 + 356/7*i.
4*(i + 1)*(3*i + 86)/7
Let c = -4 + 7. Let q = -312964/5 + 938927/15. Determine x, given that -1/3*x**c - q*x**2 - 8/3*x + 16/3 = 0.
-4, 1
Let n be 267/165 - (140/(-44) + 3). Let z(x) be the first derivative o