0 for v.
-15, 3, 5
Factor 1/3*o**2 + 111*o + 332/3.
(o + 1)*(o + 332)/3
Let w = 1/2081 + -75131/447415. Let z = w + 78189/860. Factor -33/2*t + 3/4*t**2 + z.
3*(t - 11)**2/4
Let n(m) be the first derivative of -9/4*m - 3/4*m**2 - 25 + 1/4*m**3. Factor n(j).
3*(j - 3)*(j + 1)/4
Let r(l) be the third derivative of 2*l**2 + 1/75*l**5 - 52/15*l**3 + 0 + 11/30*l**4 + 6*l. Solve r(j) = 0 for j.
-13, 2
Let t be 8*(-9)/288 - (-2)/8. Let s(c) be the third derivative of 0*c + 0*c**4 + t + 0*c**5 - 1/360*c**6 + 2*c**2 + 0*c**3. Factor s(j).
-j**3/3
Let y(t) be the first derivative of 1/2*t**4 + 233 + 9*t**2 - 4*t**3 + 0*t. Let y(g) = 0. Calculate g.
0, 3
Let y(u) be the first derivative of 2*u**3 - 12*u - 21/2*u**2 + 25. Factor y(s).
3*(s - 4)*(2*s + 1)
Let x = 16 + 38. Determine i, given that -39*i**3 - 4*i**2 + x*i - 4*i**4 - 29*i**2 - 7*i**4 - i**4 - 60*i = 0.
-2, -1, -1/4, 0
Suppose 2*i - 253 = -3*a, 0 = -2*i + 6*i - a - 513. Factor 315*u**2 - 80*u**4 + 135*u + i*u**3 + 47*u**3 - 55*u**3.
-5*u*(u - 3)*(4*u + 3)**2
Let g be (4 + -1 - -3) + 1. Let d be 10 + g/(70/(-25)). Factor d*q**2 + 21/2 - 39/2*q + 3/2*q**3.
3*(q - 1)**2*(q + 7)/2
Find s, given that -140*s**3 - 380*s - 152 + 516 + 5*s**4 + 428*s**2 - 38*s**2 - 112 - 127 = 0.
1, 25
Let i = 9829/3 - 3275. Let s(g) be the second derivative of -12*g - i*g**2 + 4/9*g**3 + 0*g**4 + 0 - 1/30*g**5 + 1/180*g**6. Factor s(j).
(j - 2)**3*(j + 2)/6
Let u be (15 - 0 - 11) + 0. Let a(o) be the second derivative of 2/3*o**2 + 17/36*o**u + 0 - 8/9*o**3 - 9*o - 1/12*o**5. Factor a(y).
-(y - 2)*(y - 1)*(5*y - 2)/3
Let n(p) be the third derivative of p**6/40 + 13*p**5/10 - 9*p**4/2 - 1620*p**3 + 2330*p**2. Factor n(d).
3*(d - 10)*(d + 18)**2
Let g(j) = j**2 - 20. Let s(m) = -8*m**2 + 28*m + 72. Let l(f) = -6*g(f) - s(f). Suppose l(n) = 0. What is n?
2, 12
Let f(j) be the second derivative of 1/8*j**4 + 0*j**3 - 38*j + 0 - 1/60*j**6 + 0*j**2 - 1/20*j**5. Find i, given that f(i) = 0.
-3, 0, 1
Let d(i) be the first derivative of 13/16*i**4 - 3/10*i**5 + 0*i + 1/2*i**2 - 34 - i**3 + 1/24*i**6. Factor d(k).
k*(k - 2)**2*(k - 1)**2/4
Let a(w) = -w**3 - 9*w**2 - 16*w + 20. Let r(i) = 23*i - 901. Let x be r(39). Let j be a(x). What is g in 1/2*g**j + 1 + 1/2*g - 3/2*g**2 - 1/2*g**3 = 0?
-1, 1, 2
Let a(z) be the third derivative of z**8/168 + 113*z**7/420 + 169*z**6/60 - 333*z**5/20 - 135*z**4/2 - 225*z**3/4 + 5*z**2 - 89*z. Solve a(c) = 0.
-15, -1, -1/4, 3
Solve 56/17 + 2/17*f**3 + 88/17*f + 2*f**2 = 0 for f.
-14, -2, -1
Let n(q) = -17*q - 125*q**2 + 46*q**3 + 0 + 8 + 11*q + 12*q**3. Let b(y) = 57*y**3 - 124*y**2 - 8*y + 8. Let u(r) = 5*b(r) - 6*n(r). Factor u(z).
-(z - 2)*(7*z - 2)*(9*z + 2)
Let k(c) = -36*c - 574. Let p be k(-16). Let o(q) be the first derivative of -27 + 1/33*q**3 + 1/22*q**p - 6/11*q. Factor o(y).
(y - 2)*(y + 3)/11
Let t(v) be the first derivative of v**3/6 + 855*v**2/4 - 428*v + 2242. Factor t(d).
(d - 1)*(d + 856)/2
Let i(m) be the second derivative of m**5/50 + 187*m**4/30 + 49*m**3 + 549*m**2/5 + 8*m + 692. Factor i(b).
2*(b + 1)*(b + 3)*(b + 183)/5
Suppose -85359*l = -85376*l. Let h(k) be the second derivative of 1/2*k**3 - 15*k + l - 1/20*k**5 + 0*k**4 - k**2. Factor h(p).
-(p - 1)**2*(p + 2)
Let t(m) be the second derivative of m**6/6 + 19*m**5/2 + 575*m**4/3 + 1635*m**3 + 7695*m**2/2 + 3*m - 213. Factor t(h).
5*(h + 1)*(h + 9)**2*(h + 19)
Let i = -437 + 422. Let j be ((-7)/(-35) - -1)/((-6)/i). Suppose -4/3 + a**2 + 0*a + 1/3*a**j = 0. Calculate a.
-2, 1
Let v(i) be the first derivative of -3*i**4/4 + 27*i**3 - 501*i**2/2 - 585*i - 1759. What is r in v(r) = 0?
-1, 13, 15
Let v(m) be the second derivative of m**4/3 + 2038*m**3/3 + 2036*m**2 + 12*m - 5. Let v(r) = 0. What is r?
-1018, -1
Let i(c) be the second derivative of -c**4/4 + 23*c**3 + 141*c**2/2 - 34*c + 12. Find w, given that i(w) = 0.
-1, 47
Let g be (-11)/(66/12)*(2 - 3). Factor 25453*t**4 - 25459*t**4 - t**5 + 9*t**3 + 12*t**g - 12*t - 2*t**5.
-3*t*(t - 1)**2*(t + 2)**2
Let t be (0 - 30/90) + ((-20)/(-6) - 0). Let w(n) be the third derivative of -1/4*n**5 + 1/40*n**6 + 1/2*n**4 + 0*n - 17*n**2 + 0 + 0*n**t. Solve w(v) = 0.
0, 1, 4
Factor 0 + 4*n**2 + 0*n + 2/13*n**4 + 30/13*n**3.
2*n**2*(n + 2)*(n + 13)/13
Suppose -4*i + 7*i + 9 = 0. Let s be -5 + 12 + -1 + i. What is q in 6*q**3 - 8*q**2 + 4*q**4 - 7*q**3 - s*q**3 = 0?
-1, 0, 2
Let y(u) be the first derivative of -50/3*u + 8/9*u**3 + 71 + 1/12*u**4 + 5/6*u**2. Determine v so that y(v) = 0.
-5, 2
Find d such that -2620*d + 4*d**2 - 2347*d - 65*d - 8*d**2 - 169958 - 1412606 = 0.
-629
Let n(v) be the third derivative of -v**7/3 - 17*v**6/60 - v**5/15 - 7*v**2 + 4. Let n(b) = 0. Calculate b.
-2/7, -1/5, 0
Suppose -36*p = -33*p + 348. Let f = p - -116. Factor 3/7*t**3 + 0 + f*t - 6/7*t**2 + 3/7*t**4.
3*t**2*(t - 1)*(t + 2)/7
Suppose -12*b + 0 + 12*b**2 + 16*b**4 + 5/3*b**5 + 115/3*b**3 = 0. Calculate b.
-6, -3, -1, 0, 2/5
Let p(q) be the second derivative of -q**4/42 - 3*q**3/7 - 18*q**2/7 - 17*q + 22. Factor p(o).
-2*(o + 3)*(o + 6)/7
Let p be ((-4807)/46)/(2/(-8)). Suppose -p = 7*h - 418. Factor h - 5*n + 5/2*n**3 + 5/2*n**2.
5*n*(n - 1)*(n + 2)/2
Let s(p) be the first derivative of -39/2*p**2 + 0*p + p**3 - 20. Factor s(i).
3*i*(i - 13)
Let a(k) be the first derivative of -2*k**3/27 + 67*k**2/9 + 328. Determine d, given that a(d) = 0.
0, 67
Let b(a) be the first derivative of 13/3*a**3 + 1/5*a**5 + 4*a - 75 - 3/2*a**4 - 6*a**2. Factor b(o).
(o - 2)**2*(o - 1)**2
Let v = -16 + 18. Factor v*o**2 + 4172*o - 2 - 4172*o.
2*(o - 1)*(o + 1)
Let f(k) be the first derivative of -125*k**4/4 - 5*k**3 - 3*k**2/10 + 293*k - 51. Let p(z) be the first derivative of f(z). Factor p(u).
-3*(25*u + 1)**2/5
Let g(r) = 47*r**2 + 1194*r - 7822. Let d(z) = -9*z**2 - 238*z + 1564. Let w(j) = -11*d(j) - 2*g(j). Determine u, given that w(u) = 0.
-52, 6
Find q such that -38/23*q**2 + 40/23*q - 2/23 = 0.
1/19, 1
Let f = -1114 - -1114. Let o(u) be the first derivative of f*u - 1/4*u**4 + 2/3*u**2 + 12 + 4/9*u**3. Determine n so that o(n) = 0.
-2/3, 0, 2
Let n(m) be the second derivative of m**5/40 + 31*m**4/24 + 2*m**3 - 45*m**2 + 544*m. Solve n(t) = 0.
-30, -3, 2
Suppose r - 6 = -4, -r - 10 = -4*f. Solve -9*y**3 + 50*y**3 - 17*y**f - 7 - 12*y**3 - 15*y + 19*y**2 - 9*y**3 = 0.
-7, -1/3, 1
Let z(n) = -612*n + 210*n**3 - 377*n**3 + 1452 - 720*n**2 + 187*n**3. Let k(r) = -2*r**3 + 80*r**2 + 68*r - 161. Let b(u) = -28*k(u) - 3*z(u). Solve b(l) = 0.
-19, -2, 1
Let r = -631444/3 - -210482. Factor 0 - r*m**2 - m**3 + 1/3*m**5 + 0*m + 0*m**4.
m**2*(m - 2)*(m + 1)**2/3
Suppose 4*q - 8 = 0, -3*d = -8*q + 5*q - 7089. Let f = -2361 + d. What is g in 4 + 18*g**2 + 2*g**3 + 50/3*g - 10/3*g**f = 0?
-1, -2/5, 3
Let o be 61/(-305) - 466/(-40)*-2. Let z = -85/4 - o. Let 0 - 3/4*p**4 - 3/2*p**2 - z*p**3 + 0*p = 0. What is p?
-2, -1, 0
Suppose -137*b + 241*b - 12 = 129*b - 62. Solve 8/9*z + 0 + 2/3*z**3 - 16/9*z**b - 2/9*z**5 + 4/9*z**4 = 0.
-2, 0, 1, 2
Let v(n) = -n**3 - 7*n**2 - 8*n + 14. Let h be v(-5). Suppose -5*g - 5 = -q, h*q = g - 5*g + 20. Factor g + 2/9*t**2 + 2/9*t.
2*t*(t + 1)/9
Let i(j) be the first derivative of 127 + 128*j + 8*j**3 - 2/5*j**5 - 80*j**2 + 5/2*j**4. Factor i(u).
-2*(u - 4)**2*(u - 1)*(u + 4)
Let r(h) be the first derivative of 93 + 2/15*h**5 + 0*h + 3*h**2 + 38/9*h**3 + 11/6*h**4. Factor r(x).
2*x*(x + 1)**2*(x + 9)/3
Suppose 155713536/19*l + 2/19*l**5 + 109056/19*l**3 + 339738624/19 - 764/19*l**4 - 6856704/19*l**2 = 0. What is l?
-2, 96
Suppose -2*i - 16 = -5*a, i - 2 - 20 = -5*a. Suppose 23 = -5*u - 4*j + 11, -3*u + a*j + 12 = 0. Factor 0*p**2 + 0 + 3/7*p**5 + 6/7*p**4 + u*p**3 + 0*p.
3*p**4*(p + 2)/7
Let g(a) = 19*a**2 - 1. Let l(t) = 39*t**2 + 29*t - 254. Let d(p) = -6*g(p) + 3*l(p). Let d(m) = 0. Calculate m.
-36, 7
Let v(b) be the first derivative of -27/2*b**2 + b - 28/3*b**3 - 327. Find n such that v(n) = 0.
-1, 1/28
Factor -2/7*k**4 - 3296/7*k - 472*k**2 - 832/7*k**3 + 0.
-2*k*(k + 2)**2*(k + 412)/7
Let w(k) be the third derivative of 152*k**2 + 0*k + 6*k**3 - 1/20*k**5 + 1/8*k**4 + 0. Let w(t) = 0. Calculate t.
-3, 4
Let v(r) = -4*r**3 - 15*r**2 - 6*r + 10. Let g(c) = c**3 + 2*c**2 + c - 1. Let o = 145 - 144. Let s(i) = o*v(i) + 5*g(i). Determine j so that s(j) = 0.
-1, 1, 5
Let x(c) = 432