 12*n = 0. What is n?
-2, 0
Let y(x) be the second derivative of 0 + 0*x**3 - 1/26*x**5 - 3*x + 0*x**2 + 1/273*x**7 + 1/26*x**4 + 1/195*x**6. What is m in y(m) = 0?
-3, 0, 1
Let p be (228/(-10640)*-28*30/56)/(6/7). Find o, given that 39/2 + p*o**2 + 21/2*o = 0.
-26, -2
Let r(w) be the third derivative of w**6/24 + 29*w**5/12 - 25*w**4/3 - 11000*w**3/3 + 364*w**2. Let r(n) = 0. What is n?
-20, 11
Suppose -537*t - 478*t + 133*t + 2510 = 373*t. Factor 2/3*n**3 + 8/3 - 2/3*n**t - 8/3*n.
2*(n - 2)*(n - 1)*(n + 2)/3
Let j(a) be the third derivative of a**9/40320 + a**8/1920 - a**7/420 - 109*a**5/60 + 251*a**2. Let o(w) be the third derivative of j(w). Solve o(k) = 0.
-8, 0, 1
Let u = -166169/1990 + 2/995. Let a = -83 - u. Factor -3/2 + a*h**2 - h.
(h - 3)*(h + 1)/2
Let c(h) = -h**5 - h**2 + h - 1. Let q(d) = -6*d**5 + 6*d**4 + 46*d**3 + 87*d**2 + 80*d + 17. Let y(w) = 5*c(w) - q(w). Factor y(f).
(f - 11)*(f + 1)**3*(f + 2)
Let b(a) be the first derivative of -2/5*a**3 - 2/5*a**2 - 39 + 4/15*a**6 - 6/5*a**5 + 0*a + 8/5*a**4. Determine s so that b(s) = 0.
-1/4, 0, 1, 2
Let f be (25 - (8 + 10))*(-26)/(-364). Solve -2*z + 0 + 3/2*z**2 + f*z**3 = 0 for z.
-4, 0, 1
Let d be 45/3 - (1 - 1). Let c(y) = y**2 + 7*y - 95. Let o be c(7). Factor 121 - 247 - o*i**2 - d*i + 114.
-3*(i + 1)*(i + 4)
Let z(m) be the first derivative of -m**6/10 + 3*m**5/2 - 6*m**4 - 5*m**3 + 75*m**2/2 - 49*m + 32. Let n(p) be the first derivative of z(p). Factor n(v).
-3*(v - 5)**2*(v - 1)*(v + 1)
Suppose 10*b**2 + 12*b - 108 - 3*b**3 + 13*b**3 + 16*b**2 - 7*b**2 - 9*b**3 = 0. What is b?
-18, -3, 2
Let j(g) be the first derivative of g**3/18 + 31*g**2/2 + 183*g/2 + 1693. Solve j(l) = 0 for l.
-183, -3
Let z(j) be the first derivative of 1/3*j**4 - 768*j + 352*j**2 - 38 + 188/9*j**3. Find u such that z(u) = 0.
-24, 1
Suppose 3*j + 9 = 8*h - 4*h, -3*h = 4*j - 13. Find r, given that 158*r**2 - 12*r - 12 - 7 + 7 + 243*r**h + 4 + 81*r**4 = 0.
-2, -1, -2/9, 2/9
Suppose -c + 5*a + 2 = 4*a, 0 = -4*c - 5*a - 10. Let x(g) be the second derivative of c + 1/90*g**5 - 2*g**2 + 7*g + 7/9*g**3 - 4/27*g**4. Factor x(o).
2*(o - 3)**2*(o - 2)/9
Let i(v) be the first derivative of 83 + 41/20*v**2 - 9/50*v**5 + 51/40*v**4 - 3/5*v - 17/6*v**3. Find k such that i(k) = 0.
1/3, 2, 3
Let v = 1462649/11670 - 3/3890. Let s(z) be the first derivative of v*z**3 + 120*z**2 + 12/5*z**5 - 22 - 35*z**4 - 288*z. Factor s(y).
4*(y - 6)**2*(y + 1)*(3*y - 2)
Let r = 19571 + -19568. Let w = 0 - 0. Factor w - 1/6*x**r + 0*x - 1/6*x**2.
-x**2*(x + 1)/6
Let y be (102 + -3)*7/21. Factor -16*p**3 - 9*p**2 - 15 + 19*p**3 - 12*p**2 + y*p.
3*(p - 5)*(p - 1)**2
Let d(f) be the second derivative of -7*f**5/60 - 725*f**4/72 + 13*f**3/3 + 4299*f. Let d(v) = 0. Calculate v.
-52, 0, 3/14
Suppose -15*z = -1071 + 51. Let p be 6/4 + 34/z. Determine y, given that 10/9*y**p + 5/9*y**3 - 2/9*y**4 - 8/9 - 1/9*y**5 - 4/9*y = 0.
-2, -1, 1, 2
Let g(b) = -225*b + 103503. Let x be g(460). Find f such that -8/3*f**x + 28/9*f**2 + 2/9*f**5 - 10/9*f + 4/9*f**4 + 0 = 0.
-5, 0, 1
Suppose -16 = -36*d + 32*d + 2*p, 0 = 5*d - 5*p - 25. Suppose -3*w - 3*g = 0, -w + 24 = 4*w - g. Factor -f**4 + 260*f**3 - 259*f**d + 0*f**w + 2*f**4.
f**3*(f + 1)
Let u(h) be the second derivative of -h**5/80 - 11*h**4/48 + h**3/2 - 137*h. Factor u(i).
-i*(i - 1)*(i + 12)/4
Suppose 8*l - 35 + 3 = 0. Let o(q) = q**3 - 5*q**2 + 8*q - 12. Let v be o(l). Solve 4*w**3 - 4*w + v*w**2 - 14*w**2 - 4 + 2*w**2 + 12 = 0.
-1, 1, 2
Let c be -6 + -8 + (-2040)/(-132). Let c*b**4 + 16/11 - 2/11*b**5 - 56/11*b - 50/11*b**3 + 76/11*b**2 = 0. What is b?
1, 2
Find t, given that 166*t**2 + 338*t + 54*t**4 + 24*t - 42*t**3 - 52*t**2 + 204 - 52*t**4 = 0.
-1, 6, 17
Let v(g) = g + 1. Let c be v(-9). Let q be (-10)/c*((-26)/(-5) - 5). Factor 1/2*k**2 - 3/4*k**4 - 1/4*k**5 + q - 1/2*k**3 + 3/4*k.
-(k - 1)*(k + 1)**4/4
Let j be 22*154/1452*(-6)/(-49). Let t(m) be the second derivative of -1/21*m**4 + 0 + j*m**2 + 1/21*m**3 - 26*m - 1/70*m**5. Solve t(a) = 0 for a.
-2, -1, 1
Determine k so that 44*k + 56*k + 28 + 2*k**3 + 49*k - 103*k + 20*k**2 = 0.
-7, -2, -1
Let w(c) be the third derivative of 2/15*c**5 + 36*c**2 - 1/21*c**7 + 0*c**3 + 0*c**4 + 0*c + 2/15*c**6 + 0. Factor w(r).
-2*r**2*(r - 2)*(5*r + 2)
Let r(f) = -f**2 + 1. Let b be r(4). Let z be (242/(-16) - b) + (-42)/(-80). Factor -z*v**4 - 2/15*v**5 - 4/15*v**3 + 2/5*v + 4/15*v**2 + 2/15.
-2*(v - 1)*(v + 1)**4/15
Let w(b) be the third derivative of 675*b**4 - 54000*b**3 + 0 + 1/80*b**6 + 0*b + 8*b**2 - 9/2*b**5. Let w(q) = 0. Calculate q.
60
Suppose 0 = -2*d + 1497 + 965. Let j = d - 2399/2. Factor 1/2*l**3 + 81/2 + j*l - 17/2*l**2.
(l - 9)**2*(l + 1)/2
Let r be 7/5 + 7/(-12 - -19). Factor -r*h**2 + 0 - 12/5*h**3 - 4/5*h - 4/5*h**4.
-4*h*(h + 1)**3/5
Let j(o) be the second derivative of o**5/20 - 5*o**4/6 + 17*o**3/6 + 14*o**2 + 1050*o. Factor j(q).
(q - 7)*(q - 4)*(q + 1)
Suppose -8*h - 10 = -13*h. Suppose -z + 25 = -5*y, 19 = 2*z - z - h*y. Factor z*b - 6*b**3 - 2*b**2 - 18*b + 7*b**3.
b*(b - 3)*(b + 1)
Suppose -2*g + 0*g + 3*y = 19, -42 = 5*g - 2*y. Let r(c) = c + 11. Let w be r(g). Factor -w*b**3 + b**3 + 3*b**3 + b**2 + b**2 - 3*b.
b*(b - 1)*(b + 3)
Let g = 78 + -78. Suppose -5*t + 4*x + 6 = g, 0 = -4*x - 0 + 4. Factor -64*h**5 - h + 90*h**5 - h**3 - 24*h**4 - 42*h**5 + 4*h**t + 2*h**2.
-h*(h + 1)**2*(4*h - 1)**2
Let o(g) be the second derivative of g**6/45 + 19*g**5/90 - 49*g**4/27 + 116*g**3/27 - 40*g**2/9 + 1227*g. Let o(d) = 0. What is d?
-10, 2/3, 1, 2
Suppose 30*i - 35*i = -300. Let -i*p**2 + 5*p**4 - 116*p**3 + 56*p**3 + 50*p**3 - 80*p + 10*p - 25 = 0. What is p?
-1, 5
Suppose 5*g - 72 = -w, 14 - 134 = -2*w - 4*g. Let t = -49 + w. Solve 9 - 11*a**2 + t*a**2 - 6*a + 5*a**2 = 0 for a.
-3, 1
Let k = 396422/3 - 132140. Factor -k + 1/3*f**2 - 1/3*f.
(f - 2)*(f + 1)/3
Determine v so that 71/4*v + 301/4 + v**2 = 0.
-43/4, -7
Let o(t) be the third derivative of -t**6/160 + 213*t**5/80 + 27*t**4/4 - 107*t**3/2 + 3502*t**2. Factor o(p).
-3*(p - 214)*(p - 1)*(p + 2)/4
Let p(s) = 5*s**4 - 9*s**3 - 75*s**2 - 88*s - 27. Let t be 2*((-4)/(-8) + 1). Let r(o) = -2*o**3 + o - 1. Let z(x) = t*r(x) + p(x). Solve z(n) = 0 for n.
-1, 6
Let m(f) = -597*f - 5371. Let k be m(-9). Let j(d) be the third derivative of -1/30*d**5 + 0 - 2/3*d**4 - 16*d**k + 0*d - 7/3*d**3. Solve j(u) = 0.
-7, -1
Let b(y) be the third derivative of 0 + 1/24*y**6 + 0*y**3 - 1/6*y**4 + 35*y**2 - 2/15*y**5 + 0*y. Factor b(s).
s*(s - 2)*(5*s + 2)
Let f(t) be the first derivative of t**6/180 + 19*t**5/30 + 361*t**4/12 + 2*t**3/3 + 31*t**2/2 + 4. Let n(w) be the third derivative of f(w). Factor n(d).
2*(d + 19)**2
Find z, given that -216/17*z + 348/17*z**2 + 230/17*z**3 + 16/17 = 0.
-2, 2/23, 2/5
Let v(o) be the first derivative of 121 + o**2 - 2/3*o**3 + 0*o. Factor v(q).
-2*q*(q - 1)
Let g(u) be the third derivative of -u**6/280 + 16*u**5/105 - 45*u**4/56 + 19*u**3/21 - 3*u**2 - 227. Determine t, given that g(t) = 0.
1/3, 2, 19
Let t(f) = 2*f**2 - 474*f + 4. Let s(q) = -2. Let w(b) = -2*s(b) - t(b). Suppose w(p) = 0. What is p?
0, 237
Let x(f) = f**3 + f**2 - f + 5. Let q be x(0). Suppose 0 = 2*j - 2*s + q*s + 5, j + 1 = -s. Factor 4*h**j + 10 - 8 + 4*h**2 + 10*h.
2*(h + 1)*(4*h + 1)
Factor -148 + 250998*n**2 - 52 - 251019*n**2 - 286 - 1707*n.
-3*(n + 81)*(7*n + 2)
Let r be ((-455)/(-10))/13*12/21. Suppose 12*x - 3*x**r - 16*x**3 + 12*x**3 - 2*x**4 + 13*x**2 = 0. Calculate x.
-3, -1, 0, 2
Let t be 1/(-2)*(5 - 15). Suppose 5*x - 15 = -t. Solve -2*v**5 - 69*v**3 - 6 - 4*v**5 - 69*v**x - 33*v**4 - 135*v + 102*v = 0 for v.
-2, -1, -1/2
Factor 35*u**2 - 57*u**2 - 799*u + 542*u - 818*u + 27*u**2.
5*u*(u - 215)
Let l(w) be the second derivative of -3*w**6/20 - 651*w**5/80 - 873*w**4/8 + 4047*w**3/8 + 1083*w**2/4 + 10853*w. Solve l(u) = 0.
-19, -1/6, 2
Let s(b) be the second derivative of b**4/3 - 9316*b**3/3 + 10848482*b**2 - 100*b - 16. Factor s(k).
4*(k - 2329)**2
Suppose 7 + 5 = 4*t. Suppose 0 = -5*v + 308*k - 309*k + 33, 0 = -2*v + 5*k + 24. Factor 8 + 4*s**4 - t*s**2 - 3*s + 11*s**3 - s - 9*s**2 - v*s**3.
4*(s - 1)**2*(s + 1)*(s + 2)
Factor -12/7*k**2 - 160*k - 372/7.
-4*(k + 93)*(3*k + 1)/7
Let z be (-36)/(-30) + -1 + (-28)/(-60). Let a = -315/4 + 959/12. Let -a*p**2 + 2*p + z = 0