.
-q**2*(q - 2)*(q - 1)**2
Suppose -1184/3*l + 2/3*l**3 + 1192/3 + 290/3*l**2 = 0. Calculate l.
-149, 2
Let u(k) be the first derivative of -2*k**5/5 - 67*k**4/16 + 25*k**3/4 + 6968. Factor u(p).
-p**2*(p - 1)*(8*p + 75)/4
Suppose -2*b = 2*r + 3*b - 1, 2*b = r - 5. Let o(z) be the third derivative of -1/15*z**4 + 0*z + 1/150*z**5 - 2*z**2 + 4/15*z**r + 0. Factor o(y).
2*(y - 2)**2/5
Let r(j) be the third derivative of -j**7/105 + 13*j**6/60 - 47*j**5/30 + 35*j**4/12 - 376*j**2 + 3. Factor r(z).
-2*z*(z - 7)*(z - 5)*(z - 1)
Find z such that 45/8*z**4 - 16263/8*z + 117/4*z**3 - 1335/4*z**2 - 22815/8 - 3/8*z**5 = 0.
-5, -3, 13
Factor -520289282/3 + 210983449/9*a + 1/9*a**5 + 10414*a**3 + 502/9*a**4 + 7612888/9*a**2.
(a - 6)*(a + 127)**4/9
Let b = -4446 - -4446. Let x(a) be the third derivative of b*a**3 + 0 + 0*a + 1/4*a**5 - 1/70*a**7 + 17*a**2 + 3/40*a**6 + 1/4*a**4 - 1/112*a**8. Factor x(q).
-3*q*(q - 2)*(q + 1)**3
Let a(r) be the second derivative of -r**4/18 + 245*r**3/9 + 494*r**2/3 - 3280*r. Factor a(l).
-2*(l - 247)*(l + 2)/3
Let z(s) = 170*s**2 - 65*s. Let i(r) = 13*r**2 - 5*r. Let p = 384 - 344. Let f(h) = p*i(h) - 3*z(h). Solve f(v) = 0.
0, 1/2
Let i(a) be the third derivative of -7/18*a**3 - 42*a**2 + 1/9*a**4 + 0 - 1/180*a**5 + a. Factor i(o).
-(o - 7)*(o - 1)/3
Let p(u) be the third derivative of -u**6/24 + 55*u**5/12 - 465*u**4/4 + 420*u**3 - 8031*u**2. Factor p(t).
-5*(t - 42)*(t - 12)*(t - 1)
Suppose 364 = -3*u + 735 - 362. Let s(t) be the first derivative of 3 - 5/4*t**2 - 1/8*t**4 - 2/3*t**u - t. Factor s(r).
-(r + 1)**2*(r + 2)/2
Let h = 1/1720 - -4299/1720. Factor 1/4*b**3 - 1/4*b + h - 5/2*b**2.
(b - 10)*(b - 1)*(b + 1)/4
Suppose -u - 298 = -0*u - 4*w, -3*u + 5*w = 880. Let k = 890/3 + u. Find c such that 142/3*c**3 - 56/3*c + 16/3 + 40/3*c**4 - k*c**2 - 50/3*c**5 = 0.
-1, 2/5, 2
Suppose 34/9*v**4 - 38/9*v**3 - 50/9*v**2 + 10/9*v**5 + 28/9*v + 16/9 = 0. What is v?
-4, -1, -2/5, 1
Suppose -x + l + 2 = 0, l = -6*x + 2*x + 13. Suppose 7*p**5 + 102*p**3 - 2*p**5 + 10*p**2 - 10*p**4 - 107*p**x = 0. What is p?
-1, 0, 1, 2
Suppose 11524 = -19*z - 5310. Let h = z + 3547/4. Determine o, given that -3/4*o**2 + 3/2 + h*o = 0.
-1, 2
Let w(l) be the second derivative of l**7/210 - 3*l**6/50 + 7*l**5/100 + 3*l**4/20 - 4*l**3/15 + 224*l. Factor w(y).
y*(y - 8)*(y - 1)**2*(y + 1)/5
Let f be (-8)/(-128)*-4*96/(-8). Let v(r) be the first derivative of 0*r**2 + 5 + 0*r + r**4 + 8/3*r**f. Factor v(k).
4*k**2*(k + 2)
Let j(a) be the first derivative of -4*a**5/9 + 22*a**4 + 128*a**3/3 - 76*a**2/9 - 164*a/3 - 8752. Find w such that j(w) = 0.
-1, 3/5, 41
Let i(z) be the third derivative of -z**6/320 - z**5/40 + 11*z**4/64 - 3*z**3/8 - 10*z**2 + 65. Let i(w) = 0. Calculate w.
-6, 1
Let q(s) be the second derivative of s**5/170 + 605*s**4/34 + 366025*s**3/17 + 221445125*s**2/17 + 2*s - 314. Factor q(r).
2*(r + 605)**3/17
Let z(k) be the first derivative of 2*k**3 - 3/4*k**4 - 77 + 9/2*k**2 + 0*k. Factor z(y).
-3*y*(y - 3)*(y + 1)
Let t = -82 - -101. Suppose -15*n**2 + t*n**2 - 2*n**2 - 24*n - 38*n = 0. What is n?
0, 31
Let b(n) be the first derivative of -8/7*n**2 - 1/70*n**5 + 10/21*n**3 - 46*n - 1/42*n**4 + 15. Let q(z) be the first derivative of b(z). Factor q(o).
-2*(o - 2)*(o - 1)*(o + 4)/7
Factor -51*k - 74242*k**2 - 843*k + 74239*k**2.
-3*k*(k + 298)
Let p(b) = b + 2. Let n be p(0). Let a be (12/3 - -2)*(4 + (-105)/30). Factor 0 + 1/2*m - 3*m**4 - 11/2*m**a - n*m**2.
-m*(m + 1)**2*(6*m - 1)/2
Let h(u) be the first derivative of -4*u**5/5 + 4*u**4 + 112*u**3/3 + 64*u**2 - 3055. Solve h(z) = 0.
-2, 0, 8
Let m(j) be the second derivative of j**6/540 - j**5/135 + 9*j**2 - 72*j - 2. Let z(f) be the first derivative of m(f). Let z(i) = 0. What is i?
0, 2
Factor -66*d + 3/7*d**2 + 912/7.
3*(d - 152)*(d - 2)/7
Let g(z) = -z**3 - 19*z**2 + 251*z - 240. Let q(h) = 4*h**3 + 77*h**2 - 1004*h + 962. Let i(m) = 52*g(m) + 12*q(m). Factor i(y).
-4*(y - 9)*(y - 1)*(y + 26)
Let 0 - 60/7*z**3 - 16/7*z + 4*z**4 + 52/7*z**2 - 4/7*z**5 = 0. Calculate z.
0, 1, 4
Suppose -2*l + 32911*f - 15 = 32908*f, -34 = -2*f. Factor 3/7*c**4 - l - 249/7*c + 9/7*c**3 - 117/7*c**2.
3*(c - 6)*(c + 1)**2*(c + 7)/7
Let m = 13280/741 - 22923464/1307865. Let t = 2/353 + m. Factor -t*z**2 - 72/5 - 24/5*z.
-2*(z + 6)**2/5
Let r be 312/9 - (-4)/(12/15). Let u = 40 - r. Factor -1/3*o**3 + 0*o + 2/3*o**2 + 0 + u*o**5 - 2/3*o**4.
o**2*(o - 2)*(o - 1)*(o + 1)/3
Let l = -13832 + 13834. Let w(u) be the second derivative of 28*u - 7/3*u**4 + 0*u**l - 4/3*u**3 - 11/10*u**5 - 1/6*u**6 + 0. Factor w(o).
-o*(o + 2)**2*(5*o + 2)
What is z in 1/7*z**2 - 6/7*z - 16/7 = 0?
-2, 8
Let i(o) be the second derivative of -5 - 24*o + 1444/9*o**2 + 76/27*o**3 + 1/54*o**4. Factor i(n).
2*(n + 38)**2/9
Suppose -42*s + 2*p = -198, -3*p - 57 = 129*s - 132*s. Find d, given that 27/7*d**2 + 18/7*d**s - 6/7*d + 0 - 39/7*d**3 = 0.
0, 1/2, 2/3, 1
Determine c, given that 3035/3*c**3 + 1265/3*c + 850/3 - 1705*c**2 - 35/3*c**4 = 0.
-2/7, 1, 85
Find v such that -2/7*v**4 - 138/7*v**2 - 68/7*v + 0 - 72/7*v**3 = 0.
-34, -1, 0
Let u be ((-10 - ((-1)/5 + (-299)/30))*-12)/(-1). Suppose -4 = 2*a + 6, 2*k - 15 = 3*a. Factor -8/9*g + k + 1/9*g**3 - 2/9*g**u.
g*(g - 4)*(g + 2)/9
Let g be 19/2394*6*7/2. Let k = g - -1/6. Solve 0 + 1/3*b**2 + k*b = 0.
-1, 0
Let h = -811 + -516. Let l = -1323 - h. Solve 0 - q**5 + 4/5*q**2 + 17/5*q**l + 0*q - 16/5*q**3 = 0.
0, 2/5, 1, 2
Let x(d) = -d**3 - 9*d**2 - 9*d + 1. Let w be x(-8). Suppose 2*f = -u - 6, 8*u - 3*f - w = 6*u. Factor -12/7*t + 32/7*t**2 + u - 20/7*t**3.
-4*t*(t - 1)*(5*t - 3)/7
Let a(q) = -q**3 - 13*q**2 + q + 24. Let u be a(-13). Factor -22 + u + 11 + 22*k + 2*k**2.
2*k*(k + 11)
Let v = 216 - 200. Factor v*n + 32*n**2 + 17*n - 12*n**3 - n - 64 + 48*n.
-4*(n - 4)*(n + 2)*(3*n - 2)
Let g(c) be the first derivative of c**3/18 + 62*c**2/3 + 7688*c/3 + 776. Find r, given that g(r) = 0.
-124
Let r = -1364 + 1367. Let w(g) be the second derivative of 0*g**2 + 1/2*g**r + 3/20*g**5 - 1/2*g**4 + 9*g + 0. Determine h, given that w(h) = 0.
0, 1
Let s(j) be the second derivative of 0 + 5*j - 1/105*j**5 + 2/21*j**3 - 1/42*j**4 + 1/210*j**6 - 8*j**2. Let v(n) be the first derivative of s(n). Factor v(c).
4*(c - 1)**2*(c + 1)/7
Let q(l) be the second derivative of -1/10*l**6 - 15*l**4 - 200*l + 21/10*l**5 + 41*l**3 + 0 - 105/2*l**2. Factor q(y).
-3*(y - 7)*(y - 5)*(y - 1)**2
Let y = 10219/2 - 30655/6. Let j(w) be the third derivative of 6*w**3 + 0 - y*w**5 + 1/2*w**4 + 1/30*w**6 + 0*w - 22*w**2. Determine z so that j(z) = 0.
-1, 3
Let d(j) = -2*j**2 + 1520*j + 1438. Let h(n) = -n**2 - 44*n - 1. Let w(i) = -d(i) - 2*h(i). Solve w(z) = 0 for z.
-1, 359
Suppose -113 = 5*o - 393. Suppose o = 6*k - 2*k. Determine m so that 855*m - 843*m - k + 2*m**2 + 0*m**2 = 0.
-7, 1
Let s(q) be the third derivative of q**6/240 - 11*q**5/120 + 5*q**4/6 - 4*q**3 - q**2 - 105*q. Factor s(f).
(f - 4)**2*(f - 3)/2
Let n(i) be the first derivative of i**4/4 + 14*i**3/3 + 16*i**2 - 128*i - 1267. Let n(k) = 0. Calculate k.
-8, 2
Let a(t) be the first derivative of t**6/900 - t**5/75 + t**4/20 - 4*t**3/45 - 34*t**2 - 2. Let k(p) be the second derivative of a(p). Factor k(m).
2*(m - 4)*(m - 1)**2/15
Let g(t) be the first derivative of 1/8*t**4 - 136 + 8*t**2 - 11/6*t**3 - 14*t. Let g(c) = 0. What is c?
2, 7
Let u(v) be the second derivative of 0*v**2 + 4*v**5 + 0*v**3 - 36 - 1/6*v**6 - 3*v - 35/3*v**4. Suppose u(p) = 0. What is p?
0, 2, 14
Let h be (-30 + -38974)*3/(-30). Let q = 3926 - h. Factor -32/5*b**2 + q*b + 0 + 2/5*b**3.
2*b*(b - 8)**2/5
Let t(i) = 69*i**5 - 5*i**4 - 8*i**3 - i - 5. Let g(p) = 14*p**5 - 2*p**4 - p**3 + p**2 - p - 1. Let j(y) = 15*g(y) - 3*t(y). Let j(x) = 0. Calculate x.
-1, 0, 1, 4
Let y be (-26)/(-351)*(-369)/(-1312). Let s(g) be the second derivative of -41*g + 49/8*g**2 - 7/12*g**3 + y*g**4 + 0. Factor s(q).
(q - 7)**2/4
Let y = 10695 - 10695. Let u(p) be the second derivative of 0 + y*p**2 - p**3 - 25*p + 1/6*p**4. Determine t, given that u(t) = 0.
0, 3
Let b be 0/((-3)/((-12)/16)). Suppose b = -4*h + 3*m + 24, 8*h + 4*m + 19 = 9*h. Solve 8/3*v**2 - v**h + 2/3 - 7/3*v = 0 for v.
2/3, 1
Let d be (-17)/(136/48)*-13. Let n be (2/2)/(-4 - d/(-12)). Factor 2/5*t - 3/5*t**2 + 0 - n*t**3.
-t*(t + 