 15*y - 14*y**2 + 14*y**2 - 3*y**3 + 21*y = 0. What is y?
-2, 0, 6
Let p be ((-48)/30)/(-16 + 792/60). Factor 0 + 2/7*r**5 + 4/7*r**4 + 0*r**3 - p*r**2 - 2/7*r.
2*r*(r - 1)*(r + 1)**3/7
Let c(k) be the second derivative of 659/110*k**5 + 0 - 424/165*k**6 + 202/11*k**4 + 16/77*k**7 + 50/11*k**2 + 455/33*k**3 + 76*k. Find i, given that c(i) = 0.
-2/3, -1/4, 5
Factor -24*r**2 - 264*r + 3/2*r**3 - 576.
3*(r - 24)*(r + 4)**2/2
Let l(y) be the second derivative of y**6/10 - 324*y**5/5 + 46655*y**4/4 + 216*y**3 - 69984*y**2 - 1468*y. Find f, given that l(f) = 0.
-1, 1, 216
Let v(f) be the first derivative of f**6/33 + 188*f**5/55 + 1260*f**4/11 + 4900*f**3/33 - 42875*f**2 + 5250. Determine d so that v(d) = 0.
-35, 0, 11
Let q = 6059/3 - 2013. Let b(a) be the first derivative of a**4 + 8*a**2 + 0*a + q*a**3 + 21. Factor b(f).
4*f*(f + 1)*(f + 4)
Let v(u) be the third derivative of 1/1575*u**7 - 1/450*u**5 + 0*u - 1/180*u**4 + 1/900*u**6 + 0 - 92*u**2 + 0*u**3. Suppose v(b) = 0. Calculate b.
-1, 0, 1
Let r = -7301 - -7303. Suppose 3*t = 107 + 16. Factor 41*p**r + 4*p**3 + 5*p - t*p**2 - 21*p.
4*p*(p - 2)*(p + 2)
Let y(i) be the second derivative of 3*i**5/140 - i**4/28 - 37*i**3/14 - 15*i**2/2 - 2*i + 70. Suppose y(a) = 0. What is a?
-5, -1, 7
Factor 240/13 + 14/13*b**2 - 844/13*b.
2*(b - 60)*(7*b - 2)/13
Let d be (-2)/(-7) + (-52)/(-14) - 1. Find h such that d*h**3 + 4*h**2 + 17*h**4 - 14*h**4 - h**3 - 5*h**2 = 0.
-1, 0, 1/3
Suppose -5*q + 2*v + 18 = 0, 4*q + 5*v = 2*q + 13. Let l be (q/((-96)/(-18)))/((-18)/(-600)). Factor -125/2 - 5/2*k**2 - l*k.
-5*(k + 5)**2/2
Determine d so that 2*d**3 + 1 + 33/4*d**2 + 9*d = 0.
-2, -1/8
Let q be (-8)/((-192)/(-286)) + -47 + 59. Let a(d) be the second derivative of q*d**3 - 1/40*d**5 + 0 - 1/2*d**2 + 1/12*d**4 - 16*d. Factor a(u).
-(u - 2)*(u - 1)*(u + 1)/2
Factor 10/3*l**3 + 1166/3*l - 218/3*l**2 + 242/3.
2*(l - 11)**2*(5*l + 1)/3
Let z(w) = 2*w**2 - 3*w + 5. Let l(y) = -17*y**2 - 36*y + 297. Let i(u) = -5*l(u) - 45*z(u). Let i(o) = 0. What is o?
6, 57
Let a(c) be the second derivative of -c**5/180 + 131*c**4/108 + 133*c**3/27 - 2312*c. Determine o, given that a(o) = 0.
-2, 0, 133
Let j(p) be the first derivative of -10*p - 5/2*p**2 - 8 + 5/3*p**3. Factor j(l).
5*(l - 2)*(l + 1)
Suppose -6*x = 48 - 18. Let b(u) = -u**2 + 197*u - 1531. Let n(s) = 99*s - 765. Let i(z) = x*n(z) + 3*b(z). Factor i(q).
-3*(q - 16)**2
Let d(v) be the first derivative of -v**4/10 + 26*v**3/3 - 186*v**2/5 - 4688. Solve d(p) = 0 for p.
0, 3, 62
Suppose 4*z + 3*d - 5 = 0, 2*z = -0*z + 5*d + 35. Factor 11*t**3 - 3*t**3 + z*t**4 + 0*t**3 - t**4.
4*t**3*(t + 2)
Let v(z) be the first derivative of 3*z**4/4 - 12*z**3 + 123*z**2/2 - 90*z + 1145. Determine l, given that v(l) = 0.
1, 5, 6
Let a be 12/9*(-78)/52. Let y(n) = -n**2 - 35*n - 6. Let z(b) = -b**2 + 35*b + 4. Let c(v) = a*y(v) - 3*z(v). Let c(u) = 0. Calculate u.
0, 7
Find v such that 0 + 1/8*v**3 - 3/4*v**2 + 5/8*v = 0.
0, 1, 5
Let c(u) be the first derivative of -5*u**3/12 + 1305*u**2/8 - 325*u + 257. Factor c(t).
-5*(t - 260)*(t - 1)/4
Solve 448/5 - 452/5*b + 4/5*b**2 = 0.
1, 112
Let j(g) be the second derivative of -g**5/60 - g**4 - 24*g**3 - 23*g**2 + 54*g. Let v(t) be the first derivative of j(t). Factor v(m).
-(m + 12)**2
Let a be (-80)/(-10) + -5*1. Determine p, given that -5 - 10*p**a - p + 17 + 23*p - 24*p**2 = 0.
-3, -2/5, 1
Let z be (0/(6 - 8))/(1/((-5)/10)). Let f(t) be the second derivative of -1/100*t**5 + 1/60*t**4 + 0 + 0*t**3 + z*t**2 - 9*t. Determine l, given that f(l) = 0.
0, 1
Let p = 66 - 62. Solve -1580*o**4 + 4*o**3 + 1577*o**p - 4*o**5 + 7*o**5 - 19*o**3 - 9*o**2 = 0 for o.
-1, 0, 3
Let j(p) be the first derivative of 1/5*p**5 + 8/5*p**4 + 18 + 32/5*p**2 + 16/5*p + 24/5*p**3. Determine g so that j(g) = 0.
-2, -2/5
Let l(v) = -v**2 - 38*v - 318. Let a be l(-25). Let b(c) be the first derivative of -28 - a*c**3 + 3*c**2 + 0*c - 27/4*c**4. Factor b(u).
-3*u*(u + 1)*(9*u - 2)
Let d(l) be the second derivative of -l**6/240 + 251*l**5/160 - 143*l**4/8 + 121*l**3/3 + 244*l**2 - 38*l + 5. What is s in d(s) = 0?
-1, 4, 244
Solve 3675/4 + 1527/2*a**3 - 201/4*a**4 + 3/4*a**5 + 5199/2*a**2 + 10815/4*a = 0 for a.
-1, 35
Let a(w) = -2*w - 5. Let v be a(-4). Let x = 521/1466 - -106/733. Factor 1/2*n**2 - 1/2*n**v + 0 - 1/2*n**4 + x*n.
-n*(n - 1)*(n + 1)**2/2
Let k(l) be the third derivative of -8*l**7/105 - 8*l**6/15 + 49*l**5/5 - 93*l**4/2 + 108*l**3 + 5319*l**2. Let k(u) = 0. Calculate u.
-9, 3/2, 2
Let k = 5658 + -5654. Let d(u) be the second derivative of -5/2*u**2 + 5/12*u**k + 0*u**3 + 0 + 11*u. Let d(z) = 0. What is z?
-1, 1
Let s be -1*(18 - 5) + 17. Let z(o) be the first derivative of 1/6*o - 1/36*o**6 + 1/30*o**5 - 1/12*o**2 + 12 - 1/9*o**3 + 1/12*o**s. Factor z(p).
-(p - 1)**3*(p + 1)**2/6
Factor 3/4*y**2 + 4184283/4 + 3543/2*y.
3*(y + 1181)**2/4
Suppose -g - h - 65 = -68, 0 = 5*h + 15. Suppose -g*b + 2 = 3*z - 7*b, 4*z - 12 = -b. Solve -21/8*y**z + 3/8*y**5 + 0 + 27/8*y**3 + 3/4*y - 15/8*y**4 = 0.
0, 1, 2
Find a, given that -470/7*a + 316/7 - 46*a**2 - 4/7*a**3 = 0.
-79, -2, 1/2
Let s be ((-16)/10)/((-36)/135). Let k be s/(-30) - (0 - (-574)/(-20)). Factor 21/2*l**3 - 6 + k*l**2 + 12*l.
3*(l + 1)*(l + 2)*(7*l - 2)/2
Let c(u) = 2*u**2 - 7*u + 6. Let x be 0 - (1 + -4 + 0). Let w be c(x). Factor 3*p**4 - p**5 - 7*p**w - 5*p**5 + 20*p**3 - 10*p**3.
-3*p**3*(p - 1)*(2*p + 1)
Let j(d) be the first derivative of -5*d**6/6 + 9*d**5 + 165*d**4/4 + 175*d**3/3 + 30*d**2 + 5396. Find s such that j(s) = 0.
-1, 0, 12
Find a such that -2375/3*a - 205/3*a**2 - 5/3*a**3 - 1805 = 0.
-19, -3
Let m(k) be the first derivative of k**6/3 + 104*k**5/5 + 25*k**4 - 104*k**3/3 - 51*k**2 + 7675. Suppose m(z) = 0. Calculate z.
-51, -1, 0, 1
Let u = -91660 - -91768. Let 0*z**2 + 0 - 18*z**3 - 1/4*z**5 - 4*z**4 + u*z = 0. What is z?
-6, 0, 2
Let a(r) = 28*r - 586. Let q be a(23). Suppose n - 3*v - 16 = 0, -q*n + 54*n + 20 = -v. Factor -3/2*b - 3/4*b**n + 0*b**3 + 0 + 9/4*b**2.
-3*b*(b - 1)**2*(b + 2)/4
Suppose 24*d - 7519 = -2863. Let 396 - d + n**2 - 4*n - 199 = 0. What is n?
1, 3
Let w = -231653 + 694981/3. Solve 8/3*u**2 - w*u + 2/3*u**3 + 4 = 0.
-6, 1
Let s(l) be the second derivative of -l**6/60 + l**5/2 - 4*l**4 + 44*l**3/3 - 16*l**2 + 122*l - 1. Let t(f) be the first derivative of s(f). Factor t(p).
-2*(p - 11)*(p - 2)**2
Let m(w) be the first derivative of -w**4/6 - 7*w**3/3 + 18*w**2 + 24*w - 61. Let z(p) be the first derivative of m(p). Factor z(f).
-2*(f - 2)*(f + 9)
Let r(x) be the third derivative of -x**6/480 + x**5/80 + 5*x**4/12 - 696*x**2 + 2. Let r(u) = 0. What is u?
-5, 0, 8
Let v = -6/2471 + 4451/815430. Let n(h) be the third derivative of -9*h**2 + 0*h**3 + 1/66*h**4 + 0 + v*h**5 + 0*h. Factor n(a).
2*a*(a + 2)/11
Find s such that -154/3*s**2 + 84 - 2/3*s**4 - 34/3*s**3 - 62/3*s = 0.
-9, -7, -2, 1
Let c be (-1463)/11286*(-8)/14. Let q(l) be the second derivative of 1/9*l**2 + 32*l + 1/54*l**4 + c*l**3 + 0. Factor q(m).
2*(m + 1)**2/9
Let f be -29 + 24 + (-10)/2. Let o be 1 + -8 - (1 + f). Factor 0 + 0*d - 1/5*d**o + 3/5*d**3 + 1/5*d**5 - 3/5*d**4.
d**2*(d - 1)**3/5
Let r(u) = u**2 + 14*u + 15. Let s be r(-13). Let v be (1/3)/((-193)/(-12) + 8*-2). Factor 4/5*o**v + 0 - 3/5*o**3 + 0*o - 1/5*o**s.
o**2*(o - 1)*(4*o + 1)/5
Let x(y) be the second derivative of y**4 + 574*y**3/3 - 192*y**2 - 38*y. Determine m, given that x(m) = 0.
-96, 1/3
Let w(k) be the third derivative of k**7/315 + 2*k**6/45 + k**5/5 + 4*k**4/9 + 5*k**3/9 - 139*k**2. Factor w(h).
2*(h + 1)**3*(h + 5)/3
Factor -90*j**2 + 0 - 1/4*j**3 - 359/4*j.
-j*(j + 1)*(j + 359)/4
Let x be (1/3)/(6/36). Suppose -5*n - 3*p = -37, 7 = x*n + 3*p - 15. Factor 7056 - 18*w**4 + 15*w**3 + 3*w**n - 7056.
3*w**3*(w - 5)*(w - 1)
Let i(b) = 6*b**4 - 672*b**3 - 12534*b**2 - 21849*b - 21. Let f(h) = -h**4 + 136*h**3 + 2507*h**2 + 4370*h + 4. Let n(g) = -21*f(g) - 4*i(g). Solve n(j) = 0.
-27, -2, 0
Suppose v - 2*v = -4*q + 14, -5*v + 18 = 2*q. Let d be 2 - (-76)/(-63) - 12/54. Let -64/7 + 32/7*n - d*n**v = 0. What is n?
4
Let v be (-8)/(-22) - ((-1700)/165)/34. Factor -2/3*h**2 - 2/3*h + 2/3*h**3 + v.
2*(h - 1)**2*(h + 1)/3
Let p(i) = i**2 + 12*i - 23. Let z be p(-14). Find m, given that -80*m**3 - 37*m**5 + 54*m**5 + 46*m**z - 20*m