for p.
0, 1, 4
Let u(s) be the second derivative of -s**5/40 - 7*s**4/24 - 7*s**3/6 - 2*s**2 - 11*s - 13. Suppose u(r) = 0. What is r?
-4, -2, -1
Let r(z) be the second derivative of 208/3*z**3 - 19*z + 5408*z**2 + 1/3*z**4 + 4. Factor r(i).
4*(i + 52)**2
Suppose 0 = 81*f - 168*f + 174. Let w(u) be the second derivative of -1/17*u**3 + 1/102*u**4 - 10/17*u**f + 27*u + 0. Solve w(s) = 0.
-2, 5
Let a = -1/7659 + 22997/153180. Let l(j) be the first derivative of -27 + 3/8*j**4 + a*j**5 - 3*j**2 + 0*j - j**3. Suppose l(d) = 0. What is d?
-2, 0, 2
Let u(h) be the second derivative of -6*h**3 + 39*h - 1/4*h**4 - 81/2*h**2 + 0. Determine r, given that u(r) = 0.
-9, -3
Let h be (-5 - (-1 + -12))*1. Let m = -6 + h. Find o, given that -3*o**4 + 48*o - o**3 - 28*o**3 - 36 + m*o**3 + 3*o**5 + 15*o**2 = 0.
-2, 1, 3
Suppose -244*y + 46 = -248*y + 3*u, u = -y + 20. Factor 2/5*x**y - 56/5 - 6/5*x.
2*(x - 7)*(x + 4)/5
Let v(k) = k**2 - 71*k - 7. Let r(c) = -24*c - 2. Let a(w) = -12*w + 218. Let f be a(18). Let o(t) = f*v(t) - 7*r(t). Factor o(i).
2*i*(i + 13)
Let n(t) be the third derivative of t**6/280 + t**5/20 + 3*t**4/28 - 2*t**2 + 957*t. Solve n(v) = 0 for v.
-6, -1, 0
Let o(y) = -7*y**2 + 50*y + 57. Let l(t) = -47 + 11*t**2 - 51 - 74*t - 12 + 25. Let v(i) = 5*l(i) + 8*o(i). Suppose v(f) = 0. What is f?
-1, 31
Let d(c) = -2*c**2 + 5*c + 117. Let y be d(9). Let o be (-88)/231 - 2/(-3). Let -4/7*r + y*r**2 + 4/7*r**3 + o - 2/7*r**4 = 0. Calculate r.
-1, 1
Find j, given that -1224*j**2 - 392 + 1223*j**2 - 171*j + 69*j - 96*j = 0.
-196, -2
Determine n, given that -5180*n**2 - 3418*n**3 - 802*n**4 - 160*n**3 - 72*n**5 - 2450*n - 86*n**4 = 0.
-5, -7/6, 0
Let d(s) be the third derivative of s**7/11340 + 11*s**6/1620 + 7*s**5/180 - 31*s**4/24 + 3*s**2 - 10*s. Let m(t) be the second derivative of d(t). Factor m(h).
2*(h + 1)*(h + 21)/9
Let x(j) be the first derivative of j**3/6 - 37*j**2/4 + 168*j - 5707. Factor x(r).
(r - 21)*(r - 16)/2
Let b(c) be the third derivative of -c**8/2016 + 5*c**7/252 - 7*c**6/80 - 73*c**5/360 + 37*c**4/36 + 11*c**3/3 - 5*c**2 + 24. Suppose b(r) = 0. What is r?
-1, 2, 3, 22
Let l = 789 + -795. Let o(q) = q**2 - 2*q - 46. Let r be o(l). Determine c, given that 1/4*c**r - 1/4*c + 0 = 0.
0, 1
Let i be (-3)/4 - (1 - 609/28). Suppose 5 = -5*q - 10, -i = -4*m + 4*q. Factor -2*a**2 + 10*a**3 + 31*a**4 - a**m - 4*a**3 - 34*a**4.
-3*a**2*(a - 1)**2
Factor -153458/3 - 1/9*q**3 - 80053/9*q - 560/9*q**2.
-(q + 6)*(q + 277)**2/9
Let z(n) be the first derivative of 2*n**3/3 - 164*n**2 + 648*n - 708. Let z(y) = 0. Calculate y.
2, 162
Suppose -36*j + 32*j + 24 = 0. Let l be 6*(j + 92/(-16)). Find y, given that -l*y**3 + 0*y + 3/2*y**5 + 3/2*y**2 - 3/2*y**4 + 0 = 0.
-1, 0, 1
Let d(y) be the third derivative of y**6/280 + 79*y**5/35 + 3611*y**4/8 + 24649*y**3/7 + 122*y**2 + 30. Suppose d(o) = 0. What is o?
-157, -2
Suppose 312 + 68 - 80 = 75*q. Let v(h) be the third derivative of q*h**2 + 0*h**3 - 1/4*h**4 + 1/30*h**5 + 0*h + 0. Factor v(o).
2*o*(o - 3)
Let a(b) be the first derivative of -5/2*b**4 + 0*b**2 + 52/9*b**3 + 2/15*b**5 - 275 + 0*b. Determine x, given that a(x) = 0.
0, 2, 13
Let x(s) be the first derivative of -s**3/21 - 113*s**2/14 - 16*s + 724. Determine l, given that x(l) = 0.
-112, -1
Suppose 2*r + 10*r - 120 = -3*r. Let o(i) be the third derivative of 0*i - 1/8*i**4 + 0*i**3 + r*i**2 + 0 + 1/60*i**5. Factor o(j).
j*(j - 3)
Find v such that -13/2*v**2 + 5/4*v**4 - 1/8*v**5 + 43/8*v**3 + 0 + 0*v = 0.
-4, 0, 1, 13
Let b = 3 + -1. Let z = 4330 - 4318. Let -a - 7*a - 3*a**3 - a**3 + z*a**b = 0. Calculate a.
0, 1, 2
Let t(u) be the first derivative of 4*u**5/35 + u**4/7 - 4*u**3 - 82*u**2/7 - 80*u/7 + 603. Suppose t(p) = 0. What is p?
-4, -1, 5
Let n(p) be the third derivative of -p**5/140 - 109*p**4/56 - 450*p**3/7 - 69*p**2 - 11*p + 2. Solve n(v) = 0 for v.
-100, -9
Let l(i) be the first derivative of -75*i**4/2 - 601*i**3 - 2718*i**2 - 108*i - 8199. Solve l(d) = 0.
-6, -1/50
Let t(b) be the first derivative of 4*b**3/15 - 68*b**2/5 + 192*b + 1722. Solve t(f) = 0.
10, 24
Suppose p - 4*f = -13, -5*p - 4 = -2*p - 5*f. Determine g, given that 3*g + 50*g**3 + 4*g + p*g - 109*g**2 + 14*g**2 - 24*g = 0.
-1/10, 0, 2
Let n be (140/42)/((-1)/((-9)/2)). Factor 20*g - 313*g**4 - n*g**2 + 308*g**4 + 15 - 20*g**3 + 5.
-5*(g - 1)*(g + 1)*(g + 2)**2
Let w = 1093 + -420. Let y = -3361/5 + w. Let -48/5*r - y*r**4 - 16/5 - 52/5*r**2 - 24/5*r**3 = 0. Calculate r.
-2, -1
Factor 2/7*m**2 - 42 - 292/7*m.
2*(m - 147)*(m + 1)/7
Find q, given that 130*q - 5*q + 432 - 4*q**2 + 21*q + 150*q - 4*q**3 + 144 = 0.
-8, -2, 9
Let i(c) be the second derivative of c**5/100 - 353*c**4/60 + 2065*c**3/2 + 31329*c**2/10 - 1533*c. Factor i(s).
(s - 177)**2*(s + 1)/5
Suppose -91 = x - 10*s + 5*s, -2*x - 196 = -3*s. Let h = 130 + x. Factor 5*c**3 - h*c**2 + 19*c**2 - 5*c**4 - 3*c - 2*c + 15*c**2.
-5*c*(c - 1)**2*(c + 1)
Let q(c) be the first derivative of 4*c**5/5 - 357*c**4 + 7072*c**3/3 - 5640*c**2 + 5632*c + 2884. Factor q(o).
4*(o - 352)*(o - 2)**2*(o - 1)
Suppose 1/6*x**4 + 0 + 0*x + 10/3*x**2 - 1/6*x**5 + 8/3*x**3 = 0. Calculate x.
-2, 0, 5
Let k be 2*3 - (0 + (-16961)/(-14)). Let o = k - -1206. Factor 0 + 1/2*w**2 - 1/2*w**4 - 1/2*w**3 + o*w.
-w*(w - 1)*(w + 1)**2/2
Let n(p) be the first derivative of -27/2*p**2 + 27/2*p**3 - 81/16*p**4 + 40 + 6*p. Solve n(v) = 0 for v.
2/3
Let p(t) = -5*t**3 + 4*t**2 + 79*t + 101. Suppose -37 = -6*b - 43. Let x(u) = u**2 + u - 1. Let d(n) = b*p(n) - x(n). Factor d(z).
5*(z - 5)*(z + 2)**2
Suppose -574*z + 6555 = -589*z. Let t be ((-5)/(-17))/(z/(-46) - 9). Suppose 0 + 0*u + 4/17*u**2 - 10/17*u**3 + t*u**5 - 4/17*u**4 = 0. Calculate u.
-1, 0, 2/5, 1
Let x(n) = -4*n**2 - 422*n - 981. Let f(i) = -i**2 - 106*i - 244. Let h(r) = 17*f(r) - 4*x(r). Factor h(s).
-(s + 2)*(s + 112)
Let b be (4 + -10)*30/(-36). Let v(z) = 8*z**2 - 72*z - 62. Let u(d) = -6*d**2 + 70*d + 61. Let r(l) = b*v(l) + 6*u(l). Find w such that r(w) = 0.
-14, -1
Suppose 3*o + 4*v = 4, -o - 3*o + 52 = -4*v. Let d(t) = -12*t - 1. Let j be d(-2). What is n in -7*n**2 - 5*n**3 - o*n**2 - 26*n - 5 + 34*n - j*n = 0?
-1
Let z(a) be the second derivative of 0*a**3 - a - 12/5*a**5 + 0*a**2 + 85 + 4/3*a**4 - 2/7*a**7 + 22/15*a**6. Let z(n) = 0. What is n?
0, 2/3, 1, 2
Suppose 284*s - 286*s = 2*b - 28, 8*s = 2*b + 2. Factor -28/5*j + 4/5*j**s + 0*j**2 - 24/5.
4*(j - 3)*(j + 1)*(j + 2)/5
Let i = 604261/20 + -30213. Let s(q) be the second derivative of -29*q + 0*q**2 - 1/50*q**5 - 1/30*q**3 + 0 - i*q**4. Factor s(j).
-j*(j + 1)*(2*j + 1)/5
Let w(v) be the first derivative of -v**5/120 - v**4/24 - v**3/12 + 5*v**2 + 10*v + 78. Let n(j) be the second derivative of w(j). Suppose n(q) = 0. What is q?
-1
Suppose 0 = -40*y + 42*y - 4*s + 34, 45 = 5*y + 3*s. Suppose 0 + 0*q + 1/9*q**2 + 1/9*q**y = 0. Calculate q.
-1, 0
Let k(c) = -c**2 + 15*c + 2396. Let v be k(57). Factor 0 + 4*j**3 + 2/15*j**4 + 30*j**v + 0*j.
2*j**2*(j + 15)**2/15
Let x(o) be the third derivative of o**7/560 - 47*o**6/64 + 1711*o**5/20 + 3481*o**4/16 + 710*o**2. Let x(n) = 0. Calculate n.
-1, 0, 118
Let a(n) = -n**3 - n**2 + 2*n + 3. Let q(h) = 4*h**3 + 52*h**2 - 215*h + 150. Let m(b) = -3*a(b) - q(b). Determine t, given that m(t) = 0.
-53, 1, 3
Factor 0*g + 1/7*g**4 - 69/7*g**3 + 198/7*g**2 + 0.
g**2*(g - 66)*(g - 3)/7
Let y = -38206 - -38208. Find c, given that 1/4*c**y + 625/4 - 25/2*c = 0.
25
Suppose -3*r + 159 = 3*v, -4*v - 3*r - 17 = -225. Suppose 33 = -2*w + v. Factor 7*k**2 - 4*k**2 - w*k - k.
3*k*(k - 3)
Let b(d) = d**2 - d + 1. Let z(i) = 2*i**2 - 4 - 13 + 14 + i - 3*i. Let p be z(2). Let u(s) = -5*s**3 + 5*s**2 + 5. Let a(n) = p*u(n) - 5*b(n). Factor a(v).
-5*v*(v - 1)*(v + 1)
Factor -243/2 + 3/8*t**4 + 27*t - 27/4*t**3 + 231/8*t**2.
3*(t - 9)**2*(t - 2)*(t + 2)/8
Let w = 318771/1115723 - -1/159389. Factor -8/7*j + 8/7 + w*j**2.
2*(j - 2)**2/7
Let p(h) be the second derivative of h**4/6 + 38*h**3/3 + 72*h**2 - 919*h. Let p(q) = 0. What is q?
-36, -2
Let x(n) = -n**3 + 12*n**2 - 24*n - 2. Let o be x(9). Let -44*d**4 - 16 - 36*d**2 + 19*d + 4*d**3 + 48*d**4 + o*d = 0. What is d?
-4, 1
Suppose -3*g = 5*h - 26, 10*g - 9*g - 5*h + 18 = 0. Let n(d) be the second derivative of 0 - 2/3*d**3 + 1/6*d**4 + d**g + 3*d. What 