+ 11*j**2. Let a(u) be the first derivative of d(u). Factor a(p).
2*p**2
Factor 17433*k**2 - 17375*k**2 + 7*k**3 + 902 + 962*k - 9*k**3.
-2*(k - 41)*(k + 1)*(k + 11)
Let i(t) be the second derivative of -t**7/336 - 49*t**6/240 - 407*t**5/80 - 149*t**4/3 - 160*t**3/3 + 512*t**2 - 8172*t. Solve i(m) = 0 for m.
-16, -2, 1
Let d(p) be the third derivative of 0*p**3 + 1/90*p**5 - 1/72*p**4 + 0 - 1/360*p**6 + 0*p - 45*p**2. Factor d(q).
-q*(q - 1)**2/3
Let m(z) be the first derivative of 1/150*z**5 - 15/2*z**2 + 0*z + 1/12*z**4 - 2/5*z**3 - 43. Let h(i) be the second derivative of m(i). Solve h(n) = 0.
-6, 1
Suppose -6 = -4*j + 6. Suppose -3*f = j*g - 12, g = -2*g - f + 8. Factor -2*m - 3*m**3 - 74 + 5*m**3 + 2*m**2 + 4*m**g + 68.
2*(m - 1)*(m + 1)*(m + 3)
Let h(o) be the third derivative of -o**9/11340 - o**8/420 - 2*o**7/105 + 17*o**4/24 + 7*o**2 + o. Let c(m) be the second derivative of h(m). Factor c(n).
-4*n**2*(n + 6)**2/3
Let i(b) be the second derivative of -b**4/48 - 1529*b**3/12 - 2337841*b**2/8 + 6994*b. Find o, given that i(o) = 0.
-1529
Let g be 3 - (13/(-1) - -30*(-36)/(-75)). Factor -8/5 - g*y**3 - 73/5*y - 73/5*y**2.
-(y + 1)*(y + 8)*(8*y + 1)/5
Let x(a) = -100915*a - 605487. Let o be x(-6). Suppose -4*w - 34*w**2 - 63*w**o + 0 + 81/2*w**4 = 0. Calculate w.
-2/9, 0, 2
Let j(r) be the second derivative of -r**5/10 + 3*r**4/2 - 20*r**3/3 - 859*r + 3. Factor j(q).
-2*q*(q - 5)*(q - 4)
Find i, given that -422 + 61*i - 106*i + 3*i**2 - 173 - 132*i + 37 = 0.
-3, 62
Let q(f) be the second derivative of -f**5/4 - 320*f**4/3 + 5*f**3/6 + 640*f**2 + 8*f - 177. Determine u so that q(u) = 0.
-256, -1, 1
Let a(j) be the first derivative of -5/2*j**2 - 70 + 5/4*j**4 + 0*j**3 + 0*j. Suppose a(o) = 0. What is o?
-1, 0, 1
Let s(z) = -z**2 + 374*z - 371. Let d be s(1). Let i(q) be the first derivative of 6*q - 2/3*q**3 - 45 - 2*q**d. Factor i(a).
-2*(a - 1)*(a + 3)
Suppose 4*o + 174*l = 179*l + 64, -2*o + l = -26. Let w(b) be the first derivative of 4/7*b**2 + 4/21*b**3 - o + 4/7*b. Factor w(c).
4*(c + 1)**2/7
Let i(x) = -17*x**2 + 74*x + 1588. Let s(q) = 3*q**2 + 2*q - 4. Let k(o) = i(o) + 5*s(o). Let k(t) = 0. What is t?
-14, 56
Factor -196*t + 67*t - t**2 - 155 + 0*t**2 + 93*t.
-(t + 5)*(t + 31)
Suppose 4*b + 0 + 10 = 2*k, 0 = -5*k - 5*b + 25. Let s(z) be the third derivative of 0*z + 0 - 21*z**2 - z**3 + 1/4*z**k + 3/8*z**4. Factor s(m).
3*(m + 1)*(5*m - 2)
Factor -4/3*b**4 + 0 - 2176/3*b**3 - 587528/3*b - 298100/3*b**2.
-4*b*(b + 2)*(b + 271)**2/3
Factor -2/5*r**4 - 8/5*r**2 + 0 - 2*r**3 + 0*r.
-2*r**2*(r + 1)*(r + 4)/5
Suppose 1767*d - 2*z = 1762*d, -5*z - 29 = -27*d. Factor -5/2*p**3 + 16 - 3*p**d + 16*p + 1/2*p**4.
(p - 4)**2*(p + 1)*(p + 2)/2
Suppose -3*q - 12*m = -7*m - 9241, -5*q + m = -15355. Factor -47*t**2 - 1344*t - q - 70*t**2 - 32*t**2 - 12*t**2 + 14*t**2.
-3*(7*t + 32)**2
Find z, given that -342*z**3 + 255*z**2 - 324*z**3 - 112*z**3 + 5*z**5 - 282*z**3 + 195*z**4 + 1485*z**2 - 880*z = 0.
-44, 0, 1, 2
Suppose 77*i - 78*i + 3*r = -21, 2*i - 28 = 4*r. Let a(x) be the third derivative of 0*x**4 + 13/96*x**6 + i*x + 23*x**2 + 0 + 0*x**3 + 1/24*x**5. Factor a(f).
5*f**2*(13*f + 2)/4
Let v be (-3)/(18/4) - (-2)/(-6). Let c be 8 + ((-291)/33 - v). Find m, given that -6/11*m**2 + 2/11 + 10/11*m**3 - 4/11*m**4 - c*m = 0.
-1/2, 1
Let g(h) be the first derivative of 0*h + 11 - 2/9*h**3 + 26/3*h**2. Solve g(b) = 0 for b.
0, 26
Let n be (-41724)/(-798) - (-1 + 11). Let f = n + -860/21. Suppose 4*m**2 + f*m**5 + 0 + 4/3*m**3 - 8/3*m - 4*m**4 = 0. Calculate m.
-1, 0, 1, 2
Let l be 4/22 + 466/(-22). Let j = l + 85/4. Factor 8 + j*g**3 + 8*g + 5/2*g**2.
(g + 2)*(g + 4)**2/4
Let m = -35486 - -141965/4. Determine t, given that m*t**2 + 27/4 + 3/4*t**3 + 45/4*t = 0.
-3, -1
Let p be -2 - ((5 - 1) + -9) - 21/15. Factor -2 - p*n + 2/5*n**2.
2*(n - 5)*(n + 1)/5
Factor 55/8 + 1/8*b**3 - 7/8*b**2 - 49/8*b.
(b - 11)*(b - 1)*(b + 5)/8
Suppose -5*t = 2*i, -7 = -4*t - 23. Solve i*a - 130 + 47*a - 4*a**2 + 18*a - a**2 = 0.
2, 13
Let p(w) be the second derivative of w**6/420 - 2*w**5/35 + w**4/4 - 10*w**3/21 + 277*w**2/2 + 18*w. Let i(f) be the first derivative of p(f). Solve i(j) = 0.
1, 10
Let m(l) be the first derivative of 8*l**5/65 - 7*l**4/26 - 20*l**3/13 - 23*l**2/13 - 8*l/13 + 1332. Let m(i) = 0. What is i?
-1, -1/4, 4
Suppose -1/4*r**2 - 65536 + 256*r = 0. What is r?
512
Let f = 1/117077 + 117075/234154. Determine g, given that -9/2*g + 5/2 + 3/2*g**2 + f*g**3 = 0.
-5, 1
Suppose -7*y + 39 = 6*y. Let l(v) = 2*v**3 - v**2 + 18*v - 39. Let r(k) = -3*k**3 + 2*k**2 - 19*k + 40. Let o(h) = y*r(h) + 4*l(h). Let o(t) = 0. What is t?
-4, 3
Suppose 4*v - 2 + 0 = -3*h, 3*h = 4*v - 14. Suppose -2*m + 5*m = -2*b - v, 2*m + 12 = -4*b. Factor 0*g**4 + 8*g - 7 + 1 + 0 + 4*g**2 - 8*g**3 + m*g**4.
2*(g - 3)*(g - 1)**2*(g + 1)
Suppose -15 = 4*y - 3, -5*m = y + 3. Let r = 1453 + -1453. Factor 2/17*h**3 + m + r*h**2 - 2/17*h.
2*h*(h - 1)*(h + 1)/17
Let l(m) = 18*m**2 + 51*m - 59. Suppose 2*a - 42 = -32. Let q(w) = 22*w**2 + 50*w - 60. Let k(y) = a*q(y) - 6*l(y). Let k(i) = 0. Calculate i.
1, 27
Let z(w) = 11*w**3 + 11*w**2 + 9*w - 3. Let o(d) = 8*d**3 + 10*d**2 + 8*d - 2. Let r(p) = -3*o(p) + 2*z(p). Factor r(b).
-2*b*(b + 1)*(b + 3)
Let g = 61 - 301/5. Let u be (4/(-70)*-1)/((-97)/(-2037)). Factor g*d**2 + 2/5 + u*d.
2*(d + 1)*(2*d + 1)/5
Let z(y) be the third derivative of 0*y**4 - 1/40*y**6 + 0*y + 1/20*y**5 + 0*y**3 + 0 + 48*y**2. Find n, given that z(n) = 0.
0, 1
Let h(d) be the first derivative of -2*d**3/21 - 538*d**2/7 - 144722*d/7 + 281. Factor h(k).
-2*(k + 269)**2/7
Factor 1156/7 - 6/7*x**2 - 1730/7*x.
-2*(x + 289)*(3*x - 2)/7
Factor 14112*v**3 - 28056*v**2 - 1 - 671/2*v.
(v - 2)*(168*v + 1)**2/2
Let p(i) = 5*i**2 + 33*i - 1. Let f be p(-6). Let y be 2 + -5 + (-63)/f. Suppose -2/19*d**2 + y + 4/19*d = 0. What is d?
-1, 3
Find o, given that -3/4*o**5 - 60*o - 30*o**3 + 24 + 15/2*o**4 + 60*o**2 = 0.
2
Let d be (7*2/14 + 44/(-55))*0. Factor d*a + 0 - 1/4*a**4 + 0*a**2 - 1/4*a**5 + 3/2*a**3.
-a**3*(a - 2)*(a + 3)/4
Let d = 7 + 9. Suppose 46*p = 48*p - d. Let -p - 7*c + 970*c**2 - 978*c**2 - 27*c = 0. What is c?
-4, -1/4
Let s(b) = 21*b**4 - 332*b**3 + 431*b**2 - 37*b. Let o(r) = -11*r**4 + 159*r**3 - 216*r**2 + 18*r. Let y(p) = -15*o(p) - 6*s(p). Factor y(k).
3*k*(k - 8)*(k - 2)*(13*k - 1)
Let v be ((-8 + -7)/(-4 - 0))/((24600/(-576))/(-41)). Suppose 24/5*k**3 - 21/5*k + 0*k**4 + 18/5 - 3/5*k**5 - v*k**2 = 0. Calculate k.
-3, -1, 1, 2
Suppose 35/9*y**2 + 136/3*y + 1/9*y**3 + 176 = 0. What is y?
-12, -11
Factor 1896/5*k + 224676/5 + 4/5*k**2.
4*(k + 237)**2/5
Let q(b) = -b**2 + 69*b - 40. Let u(s) = -62*s + 5*s**2 + 254*s + s**2 - 422*s - 460*s + 399. Let p(o) = 21*q(o) + 2*u(o). Solve p(a) = 0.
2/3, 7
Suppose 33*o = -2*o + 70. Factor 7*h**3 + 33*h**3 + 44*h**3 - 100*h - 36*h**4 + 20*h**o.
-4*h*(h + 1)*(3*h - 5)**2
Let k(t) = -6*t**3 + 11*t - 5. Let d(m) be the first derivative of 8*m + 9/4*m**4 + 30 + 0*m**3 - 17/2*m**2. Let i(l) = -5*d(l) - 8*k(l). Factor i(r).
3*r*(r - 1)*(r + 1)
Let m be (-117)/364 + (-220)/(-385). Let q(p) = -p + 2. Let x be q(-2). Find h, given that -1/4*h**x - 1/4*h**3 + 1/4*h**2 + 0 + m*h = 0.
-1, 0, 1
Let t(c) be the second derivative of 0*c**5 + 4/15*c**6 + 2/21*c**7 + 0*c**2 - 2/3*c**3 - 2/3*c**4 + 0 - 74*c. Solve t(w) = 0 for w.
-1, 0, 1
Let l be (3 + 2)*700/1750. Find r, given that 32/3*r + 1/3*r**4 + 0 + 32/3*r**l + 10/3*r**3 = 0.
-4, -2, 0
Suppose 50*q = 34*q + 64. Suppose n - 14 - 6 = q*p, 5*p = -3*n - 8. Find o, given that -o**n + 10/3*o**3 + 4/3 - 7/3*o**2 - 4/3*o = 0.
-2/3, 1, 2
Factor 184 - 2067*r**2 + 210*r - 1076*r + 2236*r**2 + 9*r**3.
(r - 4)*(r + 23)*(9*r - 2)
Let q(r) be the first derivative of -r**6/210 + r**4/28 - r**3/21 - 136*r - 48. Let l(c) be the first derivative of q(c). Factor l(j).
-j*(j - 1)**2*(j + 2)/7
Let d be 858/44*(147/(-18) + 0). Let w = d - -160. Factor -w*k**2 + 0*k + 3/4.
-3*(k - 1)*(k + 1)/4
Suppose 8323*n - 420 = 8218*n. Factor 0 - 22/5*b**3 - 14*b**2 - 10*b - 2/5*b**n.
-2*b*(b + 1)*(b + 5)**2/5
Let o(s) be the first derivative of -s**6/36 - s**5/15 - s**4/24 + 617. Factor o(i).
-i**3*(i + 1)**2/6
Factor 2/5*g**2 + 208658/5 + 1292/5*g.
2*(g + 323)**2/5
Let w(m) be the second derivative of -m**5/4 - 102