08*n**3 + 77049*n - 33420*n - 4*n**4 + 3676*n**2 - 39017*n + 1848 = 0?
-2, -1, 231
Factor 171366/11 + 167316/11*g**2 + 6/11*g**4 - 340704/11*g + 2016/11*g**3.
6*(g - 1)**2*(g + 169)**2/11
Let z(i) be the third derivative of i**6/24 + 323*i**5/4 + 49005*i**4 + 585640*i**3/3 - 59*i**2 - 28*i. Solve z(b) = 0 for b.
-484, -1
Suppose -9*p + p + 168 = 0. Determine l so that -54*l + 4*l**2 + p*l - 54*l + 388 + 1212 - 73*l = 0.
20
Determine l, given that -1/6*l**3 + 7/3 - 23/6*l + 5/3*l**2 = 0.
1, 2, 7
Let f be ((-2)/(-368))/(20/1240) + 188/(-46) + 4. Find x, given that 0 + 13/4*x - f*x**2 = 0.
0, 13
Suppose -2457 = -8*q - 2425. What is d in 4*d**3 - 3*d - d**3 + 4*d**2 - d**4 - d**q + d**4 - 3*d**4 = 0?
-1, 0, 3/4, 1
Factor y**2 - 34/5 + 83/5*y.
(y + 17)*(5*y - 2)/5
Let l be ((-650)/(-52))/(-2 - (-21)/10). Factor -p**5 - 14*p**2 + 7*p**5 - 46*p**2 + l*p**3 + 52*p**4 - 122*p**4 - p**5.
5*p**2*(p - 12)*(p - 1)**2
Let b(y) be the second derivative of -y**5/5 - 23*y**4 - 896*y**3 - 10240*y**2 - 775*y + 2. Solve b(o) = 0.
-32, -5
Let h be 3/9*13*21/728. Let y(o) be the first derivative of -h*o**2 + 1/5*o**5 + 0*o**4 - 1/4*o**3 - 3 + 0*o. Determine s, given that y(s) = 0.
-1/2, 0, 1
Suppose -87 = -24*a + 9. Let p(v) be the third derivative of -11*v**2 + 0*v + 2/9*v**a - 7/90*v**5 + 16/9*v**3 + 1/180*v**6 + 0. Factor p(r).
2*(r - 4)**2*(r + 1)/3
Let q be 1*-3 + (49/686)/(4/182). Let a(n) be the first derivative of 9/10*n**5 + 35 + 0*n**3 - q*n**6 + 0*n + 3/2*n**4 + 0*n**2. Determine b so that a(b) = 0.
-1, 0, 4
Let g(x) = -x**2 + 9*x + 82. Let m be g(-7). Let k be ((-2375)/m)/19 + 3/(-18). Factor 2/11*n**3 + 0 - 4/11*n**2 + 2/11*n**k + 0*n.
2*n**2*(n - 1)*(n + 2)/11
Suppose 21*p = -24*p - 43650. Let t = p + 973. Factor -6/11*b**4 + 0 + 0*b - 6/11*b**2 - 20/11*b**t.
-2*b**2*(b + 3)*(3*b + 1)/11
Let r(m) = 6*m**3 - m**2. Let v(y) = -y**3. Suppose 2*h = 84 - 80. Let z(i) = h*r(i) + 14*v(i). Suppose z(p) = 0. What is p?
-1, 0
Let z(r) = -r**2 + 37*r - 270. Let d be z(10). Suppose -3*w + a + 10 = d, -10 = -0*w - 2*w + 4*a. Factor 0 + 2*g**2 + 4/3*g + 2/3*g**w.
2*g*(g + 1)*(g + 2)/3
Let v(c) = -c**4 - 423*c**3 - 422*c**2 - 2*c. Let u(f) = 9*f**4 + 4230*f**3 + 4221*f**2 + 21*f. Let a(n) = 2*u(n) + 21*v(n). Factor a(x).
-3*x**2*(x + 1)*(x + 140)
Suppose 178 + 389 - 21 = 182*g. Factor 2/7*h**4 + 48/7 + 60/7*h**2 + 88/7*h + 18/7*h**g.
2*(h + 2)**3*(h + 3)/7
Let w(f) = 4*f**2 + 15*f - 23. Suppose -2*s = -z + 5, 3*z - 2*s = z. Let t be w(z). Let -24/7*l + 0*l**t + 0 + 6/7*l**3 = 0. What is l?
-2, 0, 2
Suppose -1225*d + 1228*d = 6. Let a(i) be the first derivative of -1/2*i**6 + 18/5*i**5 + 0*i + 12*i**3 - 39/4*i**4 - 6*i**d - 16. Factor a(t).
-3*t*(t - 2)**2*(t - 1)**2
Let w(k) = k**2 - 10*k - 32. Let j be w(14). Let j*y + 150 - 5*y**2 - 2*y + y - 3*y + 75 = 0. Calculate y.
-5, 9
Suppose l = -20*l + 4977. Factor -240*o + 465*o + 3*o**2 - l*o.
3*o*(o - 4)
Let j(s) = -44*s - 61. Let c be j(-3). Factor c*b + 16 + 4*b**4 + 88*b**2 + 23*b**3 + 67*b + 19*b**3 - 72*b.
2*(b + 1)**2*(b + 8)*(2*b + 1)
Suppose 2*d + 7*q + 132 = 10*q, 5*d = 5*q - 330. Let t be d/(-11) + -2 + 13/(-4). Solve -1/4*f**3 + 0 + t*f**2 + 0*f = 0 for f.
0, 3
Let g(j) be the first derivative of 2*j**5/15 + 5*j**4/6 - 2*j**3/3 - 13*j**2/3 + 20*j/3 - 485. Solve g(v) = 0 for v.
-5, -2, 1
Factor -2/13*h**2 + 0 + 250/13*h.
-2*h*(h - 125)/13
Let b(v) = -36*v - 11. Let o be b(-2). Let j = o - 58. Factor -8*a**j - a**5 - 20*a**4 + 32*a**4 - 3*a**5.
-4*a**3*(a - 2)*(a - 1)
Suppose -k = -5*h + 15, 0 = 21*h - 24*h + 4*k + 9. Let b be (5 - (-48)/(-9))*h/(-2). Determine c so that 0 - b*c**2 + 3/2*c = 0.
0, 3
Let o(j) be the first derivative of -j**6/15 - 4*j**5/25 + 4*j**3/15 + j**2/5 + 1397. Suppose o(v) = 0. Calculate v.
-1, 0, 1
Factor 980 + 6163*k + 6806*k - k**2 + 6722*k - 20670*k.
-(k - 1)*(k + 980)
Determine s so that -776/7*s - 2/7*s**2 - 75272/7 = 0.
-194
Let c(l) be the second derivative of -4*l**6/45 + 49*l**5/10 - 361*l**4/6 - 5080*l**3/9 - 400*l**2 - 1904*l. Let c(k) = 0. What is k?
-3, -1/4, 20
Let d(f) be the first derivative of 3*f**4/2 - 170*f**3/3 + 416*f**2 + 5632*f - 2792. Let d(n) = 0. Calculate n.
-11/3, 16
Let q be (6/120)/(12/8). Let s(z) be the second derivative of -q*z**4 + 2/5*z**3 + 0 - 41*z - 9/5*z**2. Factor s(i).
-2*(i - 3)**2/5
Let q(f) = -f**2 + 19*f - 32. Let n be q(17). Factor 36 - 3*a**3 + 29*a**n - 66*a + 18*a - 8*a**2.
-3*(a - 3)*(a - 2)**2
Let o(t) = -t**3 - 26*t**2 - 17*t + 28. Let d(s) = -s**3 - 34*s**2 - 17*s + 28. Let g(a) = 4*d(a) - 6*o(a). Solve g(z) = 0.
-7, -4, 1
Let c be 2/(-8) + (-879)/(-12) + 1. Factor 115*r**2 - 71*r**2 + c*r - 20 + 28*r.
2*(2*r + 5)*(11*r - 2)
Suppose -n + 28*a = 23*a - 14, 0 = n - 4*a - 12. Determine h, given that -n*h + 28 + 1/7*h**2 = 0.
14
Let h = -38 - -40. Let u(z) = 6*z**2 - z. Let r be u(h). Factor r*i**3 + 4*i + 5*i**3 + 6*i**4 + 36*i**2 + 8*i.
3*i*(i + 2)**2*(2*i + 1)
Let o(k) = 2*k**3 + 7*k**2 + 10*k + 2. Let s be o(-2). Let i be ((-152)/26 - s) + 20/715. Factor -i*b**2 + 4/11 - 2/11*b.
-2*(b - 1)*(b + 2)/11
Let u(m) be the first derivative of 3*m**5/5 - 15*m**4/2 - 69*m**3 - 135*m**2 + 3454. Solve u(f) = 0 for f.
-3, -2, 0, 15
Let -11*g**3 + 3*g**3 + 30*g**2 + 11 - 147131*g + 147099*g - g**4 = 0. What is g?
-11, 1
Let x(p) = 34*p**4 - 3735*p**3 + 3508129*p**2 + 11*p - 11. Let y(a) = -3*a**4 - a**3 - a + 1. Let m(j) = 2*x(j) + 22*y(j). Let m(f) = 0. What is f?
0, 1873
Suppose -14*m = -2*m - 48. Suppose 2*c - m = -3*i + 2, i - 4*c = 2. Determine r so that 0 + 3/7*r + 3/7*r**i = 0.
-1, 0
Suppose 22368*k - 22389*k - 2 + 2 = 0. Let o(f) be the second derivative of f**4 - 2/15*f**6 + k*f**5 + 0 + 4/3*f**3 + 45*f + 0*f**2. Factor o(r).
-4*r*(r - 2)*(r + 1)**2
Let g = 2435/1084 + 1/271. Suppose 19*d + 200 = 238. Solve 2*l**d - 3/4*l - g + l**3 = 0 for l.
-3/2, 1
Let m = -882 + 884. Let y(v) = v**3 + 4*v**2 - 3*v + 12. Let k be y(-5). Factor 1 - 7/6*l**3 + 25/6*l + k*l**m.
-(l - 3)*(l + 1)*(7*l + 2)/6
Let q(o) be the first derivative of 5*o**3/9 - 175*o**2/6 - 1000*o/3 + 727. Find f, given that q(f) = 0.
-5, 40
Factor 1839/5*h + 3/5*h**2 + 0.
3*h*(h + 613)/5
Let n(t) be the third derivative of -t**5/300 - 3529*t**4/60 - 12453841*t**3/30 + 92*t**2 - 6. Determine h so that n(h) = 0.
-3529
Let t = -336 - -340. Solve -2*x**3 + 145*x**t + 60*x**4 - 48*x**3 - 20*x**5 = 0.
0, 1/4, 10
Let v(j) = 2*j - 6*j**2 + 0*j - 22*j - 19 + 9*j. Let m(l) = 2*l**2 + 4*l + 6. Let o(f) = 14*m(f) + 4*v(f). Determine d, given that o(d) = 0.
-2, -1
Factor -2*w**4 - 120*w**3 + 29*w**4 + 87*w**3 - 75*w**2 + 78*w**3 + 3*w**5.
3*w**2*(w - 1)*(w + 5)**2
Let l be (-44)/330 - (-14 - -7 - 194/(-30)). What is g in 0 + l*g - 4/5*g**3 + 2/5*g**2 = 0?
-1/2, 0, 1
Let -38 + 404*d + 4*d**2 + 30*d + 37*d - 490 + 53*d = 0. What is d?
-132, 1
Let b(u) be the first derivative of -90 + 1/4*u**2 + 6*u - 1/6*u**3. Determine n so that b(n) = 0.
-3, 4
Let 2/5*c**4 - 4/5*c**3 - 6/5*c**2 + 0*c + 0 = 0. Calculate c.
-1, 0, 3
Factor -57616/3*s**2 - 23360/9*s - 800/9 - 1682/9*s**4 - 33872/9*s**3.
-2*(s + 10)**2*(29*s + 2)**2/9
Let c(b) be the third derivative of 31 - 1/45*b**4 + 0*b**3 + 0*b + 1/1575*b**7 + b**2 - 7/450*b**5 - 1/450*b**6. Suppose c(p) = 0. Calculate p.
-1, 0, 4
Suppose -119 = i - 121, 6 = 2*c + i. Factor 4 + 7/4*x - 1/8*x**c.
-(x - 16)*(x + 2)/8
Let 0*v**2 - 25*v**4 - 10*v**3 - 28*v**2 + 11*v**2 - 25*v**3 + 7*v**2 = 0. Calculate v.
-1, -2/5, 0
Let x(f) be the second derivative of f**4/12 + 281*f**3/6 - 3*f + 175. Factor x(h).
h*(h + 281)
Suppose -n**4 + 266*n**3 - 140*n - 258*n**2 + 70*n**2 - 3*n**4 - 318*n**3 = 0. Calculate n.
-7, -5, -1, 0
Suppose 3*x - 21 - 3 = 0. Let y(r) be the first derivative of -9*r**2 - x*r + 5/3*r**3 + 11. Factor y(k).
(k - 4)*(5*k + 2)
Let k(h) = h**5 + h**4 - h**3 - h**2 + h. Let y(f) = -20*f**5 - 95*f**4 - 480*f**3 - 1445*f**2 - 2015*f - 960. Let n(q) = 15*k(q) + y(q). Factor n(r).
-5*(r + 1)*(r + 3)*(r + 4)**3
Let r = 602 + -609. Let g be 230/170 + r + 6. Factor 2/17*y**2 + g*y - 8/17.
2*(y - 1)*(y + 4)/17
Let n(y) be the second derivative of -483025*y**4/4 - 695*y**3 - 3*y**2/2 + 3823*y. Factor n(o).
-3*(695*o + 1)**2
Let 60 + 1/3*b**5 - 128*b + 221/3*b**2 - 3*b**4 - 3*b**3 = 0. Calculate b.
-5, 1, 6
Suppose 0 = 559*m - 585*m. Let n(l) be the first d