04 + 2/7*w**3 + 92/7*w**2 + 174*w.
2*(w + 4)*(w + 21)**2/7
Let w(i) be the first derivative of -i**5/6 + 109*i**4/24 - 86*i**3/9 - 43*i**2/3 + 40*i - 8319. Suppose w(x) = 0. Calculate x.
-6/5, 1, 2, 20
Let w(d) = 5*d**4 + 7*d**3 + 125*d**2 + 291*d - 3. Let f(h) = -8*h**4 - 15*h**3 - 251*h**2 - 581*h + 5. Let t(n) = -3*f(n) - 5*w(n). Let t(q) = 0. Calculate q.
-4, 0, 18
Factor 95*n**2 - 34670 + 14*n**3 - n**4 + 34670.
-n**2*(n - 19)*(n + 5)
Suppose -3*n - 5*v = -48 - 65, 3*v = 7*n - 425. Suppose -n*d - 2/7*d**3 + 8*d**2 + 0 = 0. What is d?
0, 14
Let f(i) = 4*i**3 - 2*i**2 + 2*i - 2. Let h be f(3). Suppose -86 = 4*y - h. Suppose 2*m**y + 2*m**2 - 10*m**4 - m**3 + 7*m**3 - 12*m**3 = 0. What is m?
-1, 0, 2/5
Let f = 60003 + -179993/3. Find i such that 1/3*i**4 - f + 5/3*i**3 - 20/3*i + 0*i**2 = 0.
-4, -2, -1, 2
Let m = -42 - -65. Suppose 0 = -4*k + s + 28, 0 = -4*k - s + 13 + m. Factor 8*c**4 - 12*c**2 + c**4 + 7*c**4 + k*c - 12*c**4.
4*c*(c - 1)**2*(c + 2)
Solve 108/5*d**3 + 32/5*d**4 + 24/5 + 2/5*d**5 + 152/5*d**2 + 98/5*d = 0.
-12, -1
Let p be 84/1022*10/8. Let z = 14/219 + p. What is n in -1/3*n**2 - 4/3 + z*n**4 + 1/2*n**3 - 2*n = 0?
-2, -1, 2
Let g = -90/1919 + 2099/3838. Factor -g*z**5 - z**2 - 2*z**3 + 5/2*z + 2*z**4 - 1.
-(z - 2)*(z - 1)**3*(z + 1)/2
Find q such that -310/3 - 2/3*q**2 - 104*q = 0.
-155, -1
Let d = -567828 - -567831. Let -210*p + 96/5*p**4 - 696/5*p**d + 324*p**2 - 75 = 0. Calculate p.
-1/4, 5/2
Suppose q + 6 - 17 = -3*p, p - 5*q + 7 = 0. Factor 2*d**2 + 13073 - d - d**p - 13073.
-d*(d - 1)**2
Suppose 3*v = -2*x - 6, 2*v - x - 52 = -42. Factor 1/3*i**v + 10/3*i + 25/3.
(i + 5)**2/3
Let b(z) be the second derivative of -20/3*z**4 + 2*z - 1/4*z**5 + 3 - 145/6*z**3 - 35*z**2. Factor b(x).
-5*(x + 1)**2*(x + 14)
Let y(s) be the second derivative of -1/20*s**4 - 36/5*s**2 + 2*s + 29 - 5/2*s**3. What is b in y(b) = 0?
-24, -1
Find r, given that -1227*r - 3/2*r**2 - 501843/2 = 0.
-409
Let z(w) be the first derivative of 5*w**6/6 - 32*w**5 + 2005*w**4/4 - 12350*w**3/3 + 18750*w**2 - 45000*w + 1170. Suppose z(m) = 0. Calculate m.
5, 6, 10
Let y be (-7 - 22/(-4))/((-9)/48). Suppose 3*r = -y*r + 22. Find h such that 0 - 2/5*h**r + 2/5*h = 0.
0, 1
Let h(i) be the first derivative of -i**4/12 + 5*i**3/24 + 3*i**2/4 + 26*i + 72. Let q(a) be the first derivative of h(a). Find u, given that q(u) = 0.
-3/4, 2
Let c(z) be the second derivative of -67*z**5/80 + 43*z**4/16 - 19*z**3/8 - 5*z**2/8 + 39*z + 39. Factor c(y).
-(y - 1)**2*(67*y + 5)/4
Suppose 1633*h = -12248 + 30211. Factor 121 + 1/4*v**2 - h*v.
(v - 22)**2/4
Let k(i) be the first derivative of -i**6/10 - 159*i**5/25 - 756*i**4/5 - 7448*i**3/5 - 8232*i**2/5 + 345744*i/5 + 240. Let k(o) = 0. Calculate o.
-14, 3
Let z = 397 - 392. Factor -2*s**3 - 2*s**3 + 4*s - 18*s + z*s - 8*s**2 + 5*s.
-4*s*(s + 1)**2
Suppose -7*v + 24576 = -5*v. Factor -2304*u - 3*u**3 + 216*u**2 - v + 192*u**2 - 552*u**2.
-3*(u + 16)**3
Let y(d) = -7*d**2 - 7*d - 1. Let h(f) = 3*f**2 + 5*f + 1. Let z be (-10 - (-7 - 0)) + 6. Let r(j) = z*y(j) + 5*h(j). Factor r(i).
-2*(i - 1)*(3*i + 1)
Factor 16*d - 1/9*d**4 + 16/9*d**3 - 26/3*d**2 - 9.
-(d - 9)*(d - 3)**2*(d - 1)/9
Let k be (-2)/14*(-350)/150. Let u(o) be the second derivative of k*o**4 + 2*o**3 + 0 + 0*o**2 - 11*o. Factor u(q).
4*q*(q + 3)
Determine h, given that 20 - 142/7*h + 2/7*h**2 = 0.
1, 70
Determine s, given that -1/3*s**2 - 248*s - 46128 = 0.
-372
Let x be (-4)/(-10) + (3 - (-84)/(-10)). Let j be (-5)/25*x + 2. Factor 7*t - 5*t**3 + t - 5*t**2 - j*t + 5*t**4.
5*t*(t - 1)**2*(t + 1)
Let o(q) be the third derivative of -32*q**2 - 5/2*q**4 + 0 - 2/5*q**5 - 8*q**3 + 0*q - 1/40*q**6. Factor o(d).
-3*(d + 2)**2*(d + 4)
Let h(j) = 26*j - 154. Let a be h(6). Factor -6*c**2 - 8 + 8*c**4 - a*c**4 - 11*c**4 + 2*c**4 + 11*c**4 - 32*c**3 + 26*c.
2*(c - 4)*(c + 1)*(2*c - 1)**2
Let g(a) be the third derivative of a**6/120 - 49*a**4/8 + 343*a**3/3 + a**2 - 2*a - 2348. Solve g(z) = 0.
-14, 7
Let n(z) be the third derivative of 0*z + 529/3*z**3 + 1/60*z**6 - 1 - 3/2*z**5 + 28*z**2 + 161/4*z**4. Suppose n(o) = 0. What is o?
-1, 23
Let n(d) be the first derivative of -2*d**3/39 - 1147*d**2/13 + 9187. Determine r so that n(r) = 0.
-1147, 0
Let a(d) = d**3 - 12*d**2 - 15*d + 31. Let c be a(13). Let y be -4 + c - (3/(-2) - 1). Suppose y*b**2 + 2 + 8*b = 0. Calculate b.
-2, -2/7
Let i(f) be the first derivative of 23*f**2 - 3 + 0*f**3 + 1/20*f**5 - 7/8*f**4 + 0*f. Let s(c) be the second derivative of i(c). Factor s(l).
3*l*(l - 7)
Let f = -48 + 51. Factor -9 - b**2 - f + 11 - 26*b - 24.
-(b + 1)*(b + 25)
Let z(c) = 9*c**2 - c + 1. Let b(a) = -53*a**2 - 26*a - 150. Let w(r) = b(r) + 6*z(r). Factor w(k).
(k - 36)*(k + 4)
Let -3/7*d**4 + 0*d - 40/7*d**3 + 0 + 10/7*d**5 + 12/7*d**2 = 0. What is d?
-2, 0, 3/10, 2
Let r(h) be the third derivative of 5*h**6/24 + 3*h**5/2 - 135*h**4/8 - 45*h**3 - 9*h**2 - 113*h. Suppose r(f) = 0. Calculate f.
-6, -3/5, 3
Let f(o) be the third derivative of o**9/20160 - o**8/3360 + 11*o**5/15 - 4*o**2 - 1. Let p(m) be the third derivative of f(m). Factor p(t).
3*t**2*(t - 2)
Find a such that -3/2*a**4 - 117*a + 60*a**3 - 111/2*a**2 + 0 = 0.
-1, 0, 2, 39
Determine j, given that 148 + 2346 + 1493 - 597 - 3*j**2 + 0*j**2 - 1689*j = 0.
-565, 2
Factor -10*x + 2/3*x**2 + 52/3.
2*(x - 13)*(x - 2)/3
Let y(z) = -744*z**2 - 7*z + 2. Let o be y(1). Let k = o - -755. Let -1/2*a**3 - 4 - k*a - 3*a**2 = 0. Calculate a.
-2
Suppose -5*s = -38 + 13. Let o be (-2)/s*(5 + -35). Suppose 3*a**5 + 141*a**3 + 288*a + 0*a**5 + 108 + 21*a**4 + o*a**4 + 291*a**2 = 0. Calculate a.
-3, -2, -1
Suppose 18*o = -6*o - 14*o. Suppose g**4 - 1/2*g**3 - g + o - 5/2*g**2 = 0. Calculate g.
-1, -1/2, 0, 2
Let h(c) = -2*c**2 + 8*c**2 - 177 + 164. Let q(k) = -2*k - 5. Let x be q(-5). Let n(b) = -4*b**2 + 9. Let y(t) = x*h(t) + 7*n(t). Suppose y(i) = 0. Calculate i.
-1, 1
Let 18/5*r**3 - 2/5*r**4 - 58/5*r**2 + 78/5*r - 36/5 = 0. What is r?
1, 2, 3
Let o(l) be the third derivative of -l**6/480 + 73*l**5/120 + 37*l**4/12 - 529*l**2 + 2*l. What is g in o(g) = 0?
-2, 0, 148
Let s(d) be the second derivative of d**4/21 + 36*d**3/7 + 70*d**2 + 2*d + 16. Factor s(o).
4*(o + 5)*(o + 49)/7
Suppose 0 = 7*q - 5*q + 2. Let k(z) = -76*z**2 + 36*z - 9. Let l(g) = g**2 - 1. Let m(f) = q*k(f) + 5*l(f). Solve m(t) = 0.
2/9
Suppose 88 = 5*u + 17*u. Factor -35*i**4 + 77*i**4 - 3*i**2 - i**2 + 2*i**3 - 40*i**u.
2*i**2*(i - 1)*(i + 2)
Let y = -8 + 13. Suppose m - 16 = -3*z, 3*m = -y*z + 34 - 2. Factor -10*p - z*p - 52*p**4 - 120*p**3 - 8*p**5 - 9*p - 9*p - 112*p**2.
-4*p*(p + 2)**3*(2*p + 1)
Let d(o) be the first derivative of -53 + 32/3*o**3 + 5*o**4 + 0*o + 8*o**2 + 4/5*o**5. What is q in d(q) = 0?
-2, -1, 0
Let i(t) be the first derivative of -t**4/2 + 10*t**3/3 + 57*t**2 + 198*t - 170. Factor i(v).
-2*(v - 11)*(v + 3)**2
Let h = -2681 + 1025. Let u = 14920/9 + h. Suppose 2/9*m**2 - u - 14/9*m = 0. What is m?
-1, 8
Let b(o) be the first derivative of 8*o + 4*o**2 + 53 - 2/3*o**3 - 1/2*o**4. Determine a so that b(a) = 0.
-2, -1, 2
Let v(x) be the first derivative of 0*x - 4/5*x**5 - 32/3*x**3 + 0*x**2 + 316 + 9*x**4. What is s in v(s) = 0?
0, 1, 8
Factor -33/2*v**3 + 9*v**2 + 0 + 0*v.
-3*v**2*(11*v - 6)/2
Suppose 41*f = 43*f + 49*f. Let m = -326 - -6848/21. Suppose f*a - m*a**4 - 2/21 + 4/21*a**2 + 0*a**3 = 0. What is a?
-1, 1
Let g be 2850/(-228)*7/(-50). Factor 1/4*s**3 + g*s**2 + 0 + 3/2*s.
s*(s + 1)*(s + 6)/4
Let w(m) = 73*m + 413. Let d be w(12). Let q = -6364/5 + d. Factor 12/5 - 21*l - 243/5*l**3 - q*l**4 + 297/5*l**2.
-3*(l + 4)*(3*l - 1)**3/5
Let x be (10 - 6/3) + (239 + -23)/(-36). Factor 12/17*h - 14/17*h**x + 2/17.
-2*(h - 1)*(7*h + 1)/17
Let y(l) be the third derivative of -l**5/240 + 143*l**4/24 - 20449*l**3/6 + 1379*l**2 + 2*l. Let y(b) = 0. Calculate b.
286
Factor -1260*m + 734*m**2 + 1/3*m**4 - 2025 - 92/3*m**3.
(m - 45)**2*(m - 3)*(m + 1)/3
Let g(p) = -115*p**2 + 120*p. Let s be g(1). Suppose s*d + 2*j = 12, -12 = -2*d + 3*j - 11. What is n in -15/4*n + 123/4*n**3 - 63/4*n**4 - 51/4*n**d + 3/2 = 0?
-1/3, 2/7, 1
Let s(q) = 78*q + 12. Let z be s(2). Let j be 10/22*(z/15 + -10). Let -12/11 - 14/11*m + j*m**2 = 0. Calculate m.
-2/3, 3
Let a(v) = -v**3 - 1. Let x be 18/117 + 15/(-13). Let g(u