/7*a**4 + 0*a + 2/7*a**5 + 0 + k*a**3.
2*a**2*(a + 1)**3/7
Let y = 103222/3 + -34406. Solve y - 1/3*j**2 - j = 0.
-4, 1
Factor 2/13*d**2 - 222/13*d - 2420/13.
2*(d - 121)*(d + 10)/13
Let d(t) = 610*t + 7320. Let m be d(-12). Factor 3/5*c**4 + 48/5*c**2 - 24/5*c**3 + m*c + 0.
3*c**2*(c - 4)**2/5
Let g(v) be the second derivative of 13 + 3*v**2 - 3/2*v**3 + 1/4*v**4 - 2*v. What is f in g(f) = 0?
1, 2
Let g(r) be the first derivative of -25*r**4/22 - 16*r**3/11 + r**2/11 - 4. Solve g(b) = 0 for b.
-1, 0, 1/25
Suppose 139 - 119 = 5*g. Factor 196*i**5 + 26*i**3 + i**4 + 18*i**2 - 27*i - 195*i**5 - 27 + 8*i**g.
(i - 1)*(i + 1)*(i + 3)**3
Suppose -5*t = 75*s - 71*s - 74, -4*s + 64 = 0. Factor 2/5*v**t + 18/5 - 4*v.
2*(v - 9)*(v - 1)/5
Let o(v) be the third derivative of -v**6/540 - 46*v**5/135 + 31*v**4/36 + 123*v**2 + 3*v. Find g, given that o(g) = 0.
-93, 0, 1
Let j = 5875538/5 - 1175090. Factor -j*a + 64/5 + 4/5*a**3 + 4*a**2.
4*(a - 2)*(a - 1)*(a + 8)/5
Let s(b) = -b**2 - 7*b + 4. Suppose -90 = 11*q - 13. Let m be s(q). Factor 11*t - 13*t**3 - 3*t - m + 11*t**3 - 2*t.
-2*(t - 1)**2*(t + 2)
Let m(k) = -4*k**4 + 8*k**3 + 24*k**2 - 6*k - 12. Let x(s) = -17*s**4 + 32*s**3 + 102*s**2 - 23*s - 49. Let u(l) = 9*m(l) - 2*x(l). What is n in u(n) = 0?
-1, 1, 5
Let i = 1273/140240 + 6/1753. Let t(z) be the second derivative of -3/80*z**5 + 0*z**3 + i*z**6 + 0 - 3/32*z**4 + 3*z + 0*z**2. Factor t(x).
3*x**2*(x - 3)*(x + 1)/8
Let j(a) be the second derivative of -a**6/15 - 81*a**5/10 - 184*a**4 - 1024*a**3/3 + 7199*a. Factor j(o).
-2*o*(o + 1)*(o + 16)*(o + 64)
Let d(r) = -2*r**4 - r**3 + r**2 + r + 1. Let m(l) = -39*l**4 - 96*l**3 - 414*l**2 - 624*l - 267. Let q(u) = 18*d(u) - m(u). Factor q(b).
3*(b + 1)**2*(b + 5)*(b + 19)
Let x(p) = -p**4 - 247*p**3 + 6*p + 2. Let m(h) = 9*h**4 + 1977*h**3 - 51*h - 17. Let k(g) = -6*m(g) - 51*x(g). Solve k(i) = 0.
0, 245
Factor -6*h**2 + 10515/2*h - 1314.
-3*(h - 876)*(4*h - 1)/2
Let s be (62 - 40500/525) + (-1 - -18). Let j = 6798/7 - 969. Factor -p + 4/7*p**4 - s*p**3 + j*p**2 + 1/7.
(p - 1)**3*(4*p - 1)/7
Let p(v) be the second derivative of v**4/78 + 94*v**3/39 + 1941*v. Factor p(x).
2*x*(x + 94)/13
Let n = -3649 + 3652. Let j(t) be the first derivative of 0*t - 6*t**2 - 21 - t**3 + 3/5*t**5 + n*t**4. Let j(s) = 0. What is s?
-4, -1, 0, 1
Let o be ((-242)/220*-22*1)/(6 - 5). Let k(j) be the first derivative of 34 + 1/15*j**3 - 11/5*j**2 + o*j. Factor k(d).
(d - 11)**2/5
Let t be (-178)/1513 - (-29)/102. Let h(n) be the second derivative of 0 - t*n**4 + 0*n**2 + 11*n - n**3. Factor h(y).
-2*y*(y + 3)
Suppose 2*x - 13 - 35 = 4*u, -5*x + 105 = -5*u. Let g be 8/6*(-5)/((-20)/x). Factor 7*m + g*m - 18*m + 2*m**3 + 3*m.
2*m*(m - 1)*(m + 1)
Determine j so that -634 - 607 - 3*j**2 + 282*j + 1241 = 0.
0, 94
Let u be 2*(13 - 12) - (3 + (-51)/6). Let -u*b - 25*b**2 - 35/2*b**3 + 0 = 0. Calculate b.
-1, -3/7, 0
Let x(i) = 5*i**2 - 460*i - 1554. Let a(g) = -4*g**2 + 449*g + 1555. Let d(u) = -6*a(u) - 5*x(u). Let d(r) = 0. Calculate r.
-390, -4
Let o be (-6)/2 + 102/(-1). Let b be (1 + 6/(-9))*o/(-10). Factor -b*r + r**2 + 1/2*r**3 + 2.
(r - 1)**2*(r + 4)/2
Let v(b) = b**2 + 15*b - 98. Let x be v(-20). Factor -7*a**3 - 1 + 25 - 92*a + 2*a**4 + 94*a**x - 30*a**3 + 3*a**4.
(a - 3)*(a - 2)**2*(5*a - 2)
Let m(i) be the third derivative of 0*i - 1/525*i**7 + 0*i**3 - 116*i**2 - 1/100*i**6 + 0 + 2/75*i**5 + 0*i**4. Factor m(p).
-2*p**2*(p - 1)*(p + 4)/5
Let w(c) = c + 1. Let f(j) = -j**3 - 2*j**2 - 4*j - 3. Let b = 216 - 219. Let d(y) = b*w(y) - f(y). Factor d(l).
l*(l + 1)**2
Factor -36 - 16*a**3 - 13*a**3 + 12*a + 20*a**2 + 29*a**3 + 4*a**3.
4*(a - 1)*(a + 3)**2
Determine l so that -39967500/7*l**2 - 14600/7*l**3 - 48627125000/7*l - 22186125781250/7 - 2/7*l**4 = 0.
-1825
Factor 5476038/11*f**3 - 169362/11*f**2 + 1746/11*f - 6/11.
6*(97*f - 1)**3/11
Let c = 23755/2 + -11876. Find w, given that c*w + 1/2*w**3 - 3/2*w**2 - 1/2 = 0.
1
Let g = 18887 - 18884. Factor 3/5*y**g - 12/5*y**2 - 42/5 - 57/5*y.
3*(y - 7)*(y + 1)*(y + 2)/5
Factor -9*b**3 - 6*b**4 - 9*b**4 + 6*b**2 - 7*b**4 + 25*b**4.
3*b**2*(b - 2)*(b - 1)
Let j(u) = -8*u**2 - 120*u + 1723. Let f(h) = 12*h**2 + 180*h - 2585. Let y(p) = 5*f(p) + 7*j(p). Factor y(i).
4*(i - 9)*(i + 24)
Let w = 39 + -28. Let u be 1/(-3)*(8 - w). Solve 26*m**3 - 3*m + u - 25*m**3 - 2*m**2 - 1 = 0.
-1, 0, 3
Let v be 44/(-14) + 6/42 - 756/(-196). Determine k, given that 9/7*k + 3/7*k**5 + 0 + v*k**4 - 12/7*k**3 - 6/7*k**2 = 0.
-3, -1, 0, 1
Let d(o) be the second derivative of -o**4/9 + 44*o**3/3 + 5*o - 143. Factor d(r).
-4*r*(r - 66)/3
Let g(x) = -x**2 + 3*x + 4. Let a be g(4). Let r = -6837 - -6840. Solve -2/15*v**2 + a - 2/15*v**r + 2/15*v**4 + 2/15*v = 0.
-1, 0, 1
Let u(l) be the first derivative of -109*l**4/9 - 428*l**3/27 + 1312*l**2/9 - 16*l/3 - 742. Find d, given that u(d) = 0.
-3, 2/109, 2
Let a(g) = g + 63. Let w be a(8). Factor 187*o**2 - 40*o - 8*o**3 + 23*o**3 - w*o**2 - 66*o**2 - 60*o**2.
5*o*(o - 2)*(3*o + 4)
Let n(y) be the first derivative of 0*y - 64 - 4/5*y**5 - 4/3*y**3 + 0*y**2 + 2*y**4. Solve n(l) = 0 for l.
0, 1
Let z = 346 - 344. Factor 4*v**3 - 3*v**z - 4*v**3 - 13*v**2 + 4*v**4.
4*v**2*(v - 2)*(v + 2)
Suppose 10*c - 35 + 5 = 0. Factor 33*i - 5813*i**3 - 18 + 3*i**5 + 10*i**4 + 5777*i**c + 2*i**4 + 6*i**2.
3*(i - 1)**3*(i + 1)*(i + 6)
Suppose -4*d + 5*y = 25, -3*d + 20 = -0*d + 4*y. Let h(o) = -o**3 + 48*o**2 + 31*o + 885. Let f be h(49). Factor 4*u**2 + 0 + d*u + 1/2*u**f.
u**2*(u + 8)/2
Let q(t) be the second derivative of -2 + 0*t**2 + t**3 - 82*t - 1/18*t**4. Find y such that q(y) = 0.
0, 9
Let o be (0 - 1)/(-9)*0/2*5477/43816. Factor -3/4*u**2 + o + 63/4*u.
-3*u*(u - 21)/4
Let z(x) be the third derivative of -x**5/150 + 1951*x**4/60 - 130*x**3 + 7*x**2 + 466*x. Solve z(c) = 0.
1, 1950
Determine c, given that 0*c**3 - 54/7*c - 33/7*c**2 + 3/7*c**4 - 24/7 = 0.
-2, -1, 4
Find o, given that 0 + 46*o + 1/2*o**3 - 24*o**2 = 0.
0, 2, 46
Suppose 4*p - 85*l + 12 = -87*l, p - 13*l - 132 = 0. Solve 4/7*u**p - 16/7 - 12/7*u = 0.
-1, 4
Let f(a) be the second derivative of a**4/78 + 16*a**3/13 + 92*a**2/13 - 5551*a. Factor f(w).
2*(w + 2)*(w + 46)/13
Let a(d) = d**3 + 9*d**2 - 99*d - 222. Let v be a(-2). Let -4/3*f**5 + 35/3*f**3 + 50/3 + 8/3*f**2 - 85/3*f - 4/3*f**v = 0. What is f?
-5/2, 1, 2
Let s = 647 + -452. Let l = 1381/7 - s. Factor -2/7*j**2 - 32/7 - l*j.
-2*(j + 4)**2/7
Factor -772/7*g + 16/7 - 194/7*g**2.
-2*(g + 4)*(97*g - 2)/7
Let 25/4*h**3 + 13/2*h**2 - 1/4*h**4 + 0 + 0*h = 0. What is h?
-1, 0, 26
Suppose 28 = -6*i + 208. Let p be (-8)/2*(-3 - (-86)/i). Find x such that p*x**2 - 2/5*x - 2/15*x**3 + 0 = 0.
0, 1, 3
Let l = 56343/43 + -507001/387. Determine v, given that -l*v**2 - 2/9 + 4/9*v = 0.
1
Find j, given that 1/2*j**2 + 89401/2 - 299*j = 0.
299
Let l(d) be the first derivative of 32*d + 4/5*d**5 + 7*d**4 + 24*d**3 + 40*d**2 + 131. Find u such that l(u) = 0.
-2, -1
Let j(d) be the third derivative of 5*d**8/336 - 11*d**7/42 - 15*d**6/8 + 35*d**5/12 + 65*d**4/3 - 70*d**3 + 236*d**2 + 1. What is g in j(g) = 0?
-3, -2, 1, 14
Suppose 0 = b - 202 + 197. Let j be ((-8)/(-32))/(b/80). Suppose 9/7*q**2 + 3/7*q**3 - 3/7*q**j - 3/7*q - 6/7 = 0. Calculate q.
-1, 1, 2
Let y be (-2 + (-176)/(-33))*57/2. Find w, given that 11 + 6*w - 31 + y - 15 + w**2 + 26*w = 0.
-30, -2
Let k = -160333 + 801853/5. Factor -196/5 - 4/5*g**3 + 388/5*g - k*g**2.
-4*(g - 1)**2*(g + 49)/5
Suppose 0 = -35*d + 42*d - 28. Suppose 15*m**2 - 19*m**2 - 96*m**d + 100*m**4 = 0. What is m?
-1, 0, 1
Let i(v) be the third derivative of -v**6/30 + 73*v**5/5 - 145*v**4/2 + 434*v**3/3 - 1028*v**2. Find q, given that i(q) = 0.
1, 217
Let s(o) be the third derivative of o**5/60 - 23*o**4/12 + 15*o**3/2 + 11*o**2 - 62*o. Factor s(y).
(y - 45)*(y - 1)
Let h(z) be the first derivative of -86 + 2/27*z**3 + 8/9*z + 5/9*z**2. Factor h(x).
2*(x + 1)*(x + 4)/9
Let o be 0 - 11/(11/(-2)). Suppose 16 = 5*z - 2*k, 3*z - 5*k - o = -0. Suppose -15*u**3 + u**5 + 7*u**3 + 4*u**4 + 5*u**3 - 2*u**z = 0. What is u?
-3, 0, 1
Let a(q) = -3*q + 249. Let u be a(12). Let b = u - 423/2. Determine p, given that b*p - 3/4*p**2 - 3/4 = 0.
1
Let r = -95349 - -381671/4. Let -5 - 25*g + r*g**4 - 75/4*g**2 + 175/4*g**3 + 105/4*g**5 = 0. Calculate g