*p*(p - 6)/5
Let d(h) = 2*h + h + 2 - 24 - 15. Let w be d(15). Factor 4*n**3 - 1 + 12*n**2 + 4 + w*n - 3.
4*n*(n + 1)*(n + 2)
Suppose -4*s + 88 = 2*t, 2*s + 3 = -3. Let x = t - 48. Factor 14*l**2 + 20*l**3 + 6*l**2 + 12*l**4 - 4*l + 24 - 37*l**x - 35*l**2.
4*(l - 1)**2*(l + 3)*(3*l + 2)
Suppose 2*r - 14 = -5*r. Let g**3 - 3*g**3 + 14*g**2 - 6*g**r - 17*g**3 + 7*g**4 + 4*g = 0. What is g?
-2/7, 0, 1, 2
Let f be -6 - -6 - (-400)/(0 + 2). Let 2*w**2 - 19*w - 45*w + f - 30*w + 54*w = 0. Calculate w.
10
Let u(x) be the first derivative of 5*x**4/16 - 47*x**3/12 + 59*x**2/4 - 10*x - 92. Factor u(w).
(w - 5)*(w - 4)*(5*w - 2)/4
Let d(y) = 8*y**3 + 27*y**2 - 14*y. Let x(i) = -15*i**3 - 56*i**2 + 28*i. Let j(m) = 10*d(m) + 6*x(m). Factor j(o).
-2*o*(o + 7)*(5*o - 2)
Let n(t) be the first derivative of -5*t**6/6 + 295*t**4/4 - 90*t**3 - 280*t**2 - 1349. Let n(c) = 0. What is c?
-8, -1, 0, 2, 7
Let h = 128383/2 + -64186. Determine c, given that -1/2 + 31/4*c**3 - 4*c**5 - h*c**2 - 15/4*c + 6*c**4 = 0.
-1, -1/4, 1, 2
Let a(o) be the third derivative of 0*o + 1/420*o**6 + 160*o**2 + 0*o**3 - 1/28*o**4 + 0 + 1/105*o**5. Factor a(z).
2*z*(z - 1)*(z + 3)/7
Find t such that -6576*t + 387718 + 2*t**2 + 3215930 + t**2 = 0.
1096
Let g(m) = 2*m**2 + 14*m - 216. Let a be g(-19). Find d, given that -12 + 30*d**4 + 45 + 3*d**5 + 45*d + 9 - 210*d - 150*d**3 + a*d**2 = 0.
-14, 1
Determine p, given that -487*p**4 - 20*p**3 - 2*p**5 - 3*p**5 + 507*p**4 = 0.
0, 2
Let m(q) be the first derivative of q**5/60 + 25*q**4/12 + 625*q**3/6 - q**2 + 6. Let a(r) be the second derivative of m(r). Factor a(h).
(h + 25)**2
Find c, given that 0 - 63/2*c**3 + 31*c + 61/2*c**2 - 61/2*c**4 + 1/2*c**5 = 0.
-1, 0, 1, 62
Find n such that 37/8*n**3 - 45*n**2 + 1/8*n**4 + 0*n + 0 = 0.
-45, 0, 8
Let y be 4/(-4)*(-8 - 101). Factor -y*b**2 - 196 + 53*b**2 + 52*b**2 - 56*b.
-4*(b + 7)**2
Let y(k) = 17 + 9 - 38 + 4*k. Let i be y(7). Find d, given that 0*d**3 + 3*d**4 - i*d**5 + 19*d**5 + 3*d**3 + 3*d**4 = 0.
-1, 0
Let v(j) be the second derivative of -j**5/100 + 2*j**4/15 - 11*j**3/30 - 2*j**2 + 276*j + 5. Factor v(t).
-(t - 5)*(t - 4)*(t + 1)/5
Let t(f) be the second derivative of f**4/78 - 62*f**3/3 + 12493*f**2 - 1010*f. Solve t(z) = 0.
403
Let f(b) be the third derivative of 1/60*b**6 + 0*b + 0 + 7/30*b**5 - 66*b**2 - 7/3*b**3 - 1/12*b**4. Factor f(o).
2*(o - 1)*(o + 1)*(o + 7)
Let p(x) be the first derivative of -x**3 + 5 - 1/4*x**4 + 19*x - 3/2*x**2. Let k(n) be the first derivative of p(n). Factor k(t).
-3*(t + 1)**2
Suppose -13*v + 2*c = -12*v - 1, 5*v = 2*c + 13. Let p(t) be the first derivative of -t - 1/4*t**4 - 3/2*t**2 - t**v - 6. Factor p(q).
-(q + 1)**3
Let j(y) = -49*y**2 - 459*y - 458. Let l(s) = -40*s**2 - 460*s - 460. Let x(k) = -5*j(k) + 6*l(k). Factor x(q).
5*(q - 94)*(q + 1)
Suppose 0 = -10*p - 61 + 941. Factor 35*z - 3*z**2 - 88 + z**2 - p - 131*z - 2*z**2.
-4*(z + 2)*(z + 22)
Let f = 9198 + -45986/5. Let v(s) be the first derivative of -f*s**2 - 8/5*s + 21 - 2/15*s**3. Factor v(c).
-2*(c + 2)**2/5
Let -208*h**3 + 1057*h**2 + 38*h**3 + 5*h**4 - 7800*h - 821 + 22601 + 1048*h**2 - 3420*h = 0. What is h?
6, 11
Suppose 32 + a**5 + 88*a**2 - 129*a**2 + 13*a**4 - 30*a**3 - 280*a - 32 - 203*a**2 = 0. Calculate a.
-14, -2, 0, 5
Let y(g) = g**2 + 6*g. Let h(i) = -3*i**2 - 16*i. Suppose -4*r - 3*q - 25 = 0, -3*q + 0 + 7 = -4*r. Let u(c) = r*h(c) - 11*y(c). Factor u(t).
t*(t - 2)
Determine a, given that 108*a**2 - 3/4*a**3 - 3888*a + 0 = 0.
0, 72
Let k = -1012617/2 - -506316. Factor -k*r**2 + 0 - 6*r**3 - 3/2*r.
-3*r*(r + 1)*(4*r + 1)/2
Suppose 0 = 3222*q - 118*q - 12416. Factor -108*n + 243/4 + 12*n**3 + 69/2*n**2 + 3/4*n**q.
3*(n - 1)**2*(n + 9)**2/4
Let 3/4*k**3 + 132*k**2 + 0 - 531/4*k = 0. What is k?
-177, 0, 1
Let c(l) = -80*l**2 - 22730*l - 975375. Let k(j) = 26671 + 139*j + 64*j + 516*j + 3*j**2 + 9454 + 123*j. Let d(t) = 2*c(t) + 55*k(t). Let d(p) = 0. What is p?
-85
Let m(t) be the first derivative of 1/3*t**2 + 2/75*t**5 - 25 - 1/30*t**4 - 2/15*t**3 - 4/15*t. Find x, given that m(x) = 0.
-2, 1
Let t = 48459 - 96913/2. Suppose 1/2*n**3 - t*n**2 + 5/2 - 1/2*n = 0. Calculate n.
-1, 1, 5
Let s(o) = -10*o**3 + 4*o - 1. Let u be s(-2). Let m = -15 + u. Find t, given that -5*t**2 - 20 + m*t - 128*t + 52*t = 0.
-2
Let b(a) = 216*a**4 + 6860*a**3 + 43176*a**2 - 773982*a + 1316930. Let i(v) = v**5 - 2*v**4 + 2*v**3 - 4*v**2 - v - 1. Let j(c) = 2*b(c) + 4*i(c). Factor j(f).
4*(f - 6)*(f - 2)*(f + 38)**3
Let d(l) be the third derivative of -l**6/20 - 11*l**5/20 + 43*l**4/4 - 20*l**3 - 20*l**2 - 5*l. Factor d(y).
-3*(y - 4)*(y + 10)*(2*y - 1)
Let y(o) be the second derivative of o + 0*o**2 - 33 + 0*o**3 + 4/3*o**4 - 4/21*o**7 - 14/15*o**6 - 4/5*o**5. Factor y(q).
-4*q**2*(q + 2)**2*(2*q - 1)
Let w(y) be the first derivative of -9*y**6/4 - 291*y**5/10 - 393*y**4/8 + 133*y**3/2 + 105*y**2 - 54*y - 447. Find b such that w(b) = 0.
-9, -2, -1, 2/9, 1
Find y such that 62/11*y + 3/11*y**2 + 40/11 = 0.
-20, -2/3
Let c(w) be the second derivative of -5*w**7/126 + 14*w**6/9 + w**5/12 - 35*w**4/9 - 4*w + 38. Let c(i) = 0. Calculate i.
-1, 0, 1, 28
Let h(s) = -s**2 + 27*s + 258. Let a(v) = 20*v**2 - 540*v - 5170. Let z(i) = 6*a(i) + 123*h(i). Solve z(k) = 0.
-7, 34
Suppose 2*k - k + 31 = p, 3*k - 47 = -p. Determine o so that -87 + p - o**2 - o + 27 + 27 = 0.
-2, 1
Suppose -2*m + 112 = -2. Suppose 0 = 20*w - m*w. Suppose 0*q**4 + 1/5*q**3 + w + 0*q + 0*q**2 - 1/5*q**5 = 0. What is q?
-1, 0, 1
Let k = 1716 - 5146/3. Factor -2/9*a**3 + 8/9*a + k*a**2 + 0.
-2*a*(a - 4)*(a + 1)/9
Let k(f) be the third derivative of -f**7/70 + f**6/20 + 3*f**5/5 + 7*f**4/4 + 5*f**3/2 - 214*f**2. Factor k(u).
-3*(u - 5)*(u + 1)**3
Suppose 0*z + 47 = 3*w - z, 2*z = 4*w - 66. Factor 24*d**3 - 4*d**4 - 21*d**2 + w*d**4 - 12*d - d**2.
2*d*(d - 1)*(d + 3)*(5*d + 2)
Let a(h) be the first derivative of -15/16*h**4 + 1/8*h**6 - 3*h + 4*h**2 + 168 + 7/20*h**5 - 5/4*h**3. Solve a(x) = 0 for x.
-3, -2, 2/3, 1
Suppose 61 - 142 = -27*c. Let v(j) be the first derivative of -3/5*j**2 + 1/10*j**4 + 0*j**c - 16 + 4/5*j. Let v(f) = 0. What is f?
-2, 1
Let v(t) = -t**2 - 163*t - 162. Let y be v(-1). Factor y + 0*h - 4/3*h**3 - 4/3*h**4 + 8/3*h**2.
-4*h**2*(h - 1)*(h + 2)/3
Suppose -107*u - 4*k = -104*u - 148, -7*u = -8*k - 224. Let -224/3*v + u*v**2 + 2/3*v**4 + 128/3 - 26/3*v**3 = 0. Calculate v.
1, 4
Let y(q) be the third derivative of q**6/36 - 556*q**5/45 + 20683*q**4/12 - 2738*q**3 - 996*q**2. Find u such that y(u) = 0.
2/5, 111
Suppose -11 + 2 = -3*o. Solve 55*u - 21*u + 218*u - o*u**2 + 4*u**2 + u**2 + 7938 = 0 for u.
-63
Let g(z) be the second derivative of 61*z + 0 + 0*z**2 + 4*z**3 + 1/3*z**4. Factor g(o).
4*o*(o + 6)
Let c(j) = j**3 - 12*j**2 - 514*j + 7241. Let a be c(19). Factor -a*k + 5 - 1/4*k**2.
-(k - 2)*(k + 10)/4
Let d(s) = s**4 + s**3 - s**2 - s + 1. Let a(f) = -150*f**4 + 90*f**3 + 685*f**2 - 270*f + 50. Let k(n) = a(n) - 30*d(n). Find m, given that k(m) = 0.
-2, 1/6, 2
Let c be 966/193 - (66 + -61). Let y = c + 962/579. Find l such that 2/3 - y*l - 19/3*l**2 - 20/3*l**5 + 17/3*l**4 + 25/3*l**3 = 0.
-1, -2/5, 1/4, 1
Let q be (0 + 0)/(1975/395). Factor q - 25/2*d**2 + 1/2*d.
-d*(25*d - 1)/2
Let a(p) be the second derivative of -3*p**5/20 + 10*p**4 - 209*p**3/2 + 255*p**2 + p + 4. Factor a(s).
-3*(s - 34)*(s - 5)*(s - 1)
Let r(x) be the third derivative of x**7/280 - 17*x**6/80 + 23*x**5/20 + 17*x**4/16 - 93*x**3/8 - 7*x**2 - 173. Suppose r(n) = 0. What is n?
-1, 1, 3, 31
Solve -124*r**2 - 1234/5*r - 2/5*r**3 - 616/5 = 0.
-308, -1
Factor -408*h**2 + h**5 + 9859*h**4 - 19755*h**4 + 640*h - 384 + 124*h**3 + 9878*h**4.
(h - 6)*(h - 4)**2*(h - 2)**2
Suppose -v + 5*a = -50, 5*v = a + a + 204. Let b be (-5)/14*4*(-4)/v. Factor -b*w**2 + 3/7*w - 2/7.
-(w - 2)*(w - 1)/7
Let w(p) = p**3 - 118*p**2 - 11*p + 11. Let l(v) = -24*v**2 - 2*v + 2. Suppose 3 = s - 19. Let q(k) = s*l(k) - 4*w(k). Factor q(n).
-4*n**2*(n + 14)
Let y(j) be the first derivative of -5*j**6/21 + 18*j**5/35 + 3*j**4/14 - 26*j**3/21 + 6*j**2/7 - 1213. Factor y(t).
-2*t*(t - 1)**3*(5*t + 6)/7
Let a be (-12)/(-8) + (-1 - 0). Suppose -61*k + 396 = 25*k - 29*k + 75*k. What is c in 7/2*c**2 - a*c**4 + 5/2*c - k - 5/2*c**3 = 0?
-6, -1, 1
Suppose -825*u - 1079 + 5700