Let k be n(158). What is c in 15/2*c + k - 1/2*c**2 = 0?
-2, 17
Let z(u) be the third derivative of u**5/45 + 17*u**4/18 - 4*u**3 - 746*u**2. Factor z(g).
4*(g - 1)*(g + 18)/3
Suppose 0 = -13*z - z + 70. Factor -z*b**4 - 8*b**2 - 12*b**3 - 2*b**2 - 6*b**3 + 3*b**3.
-5*b**2*(b + 1)*(b + 2)
Let s(u) be the first derivative of -u**6/9 - 4*u**5/5 - 5*u**4/6 + 8*u**3/3 + 7304. Let s(g) = 0. Calculate g.
-4, -3, 0, 1
Let u be (-3 + 12 + -5 - 11) + 9. Let b be (-11)/(-6) - (u + 48/(-32)). Solve 16/9*y**3 - 16/9*y - b*y**2 + 14/9 - 2/9*y**4 = 0.
-1, 1, 7
Suppose 0 = -3*a + 3*w, -a - 3 = a - w. Let s(r) = 3*r**2 + 6*r - 4. Let q be s(a). Factor -7*y**4 + 2*y**4 + 5*y**2 + q*y**3 + 4*y - 10*y**3 + y.
-5*y*(y - 1)*(y + 1)**2
Solve -38/3*p**2 - 8/3 - 22/9*p**3 - 152/9*p = 0 for p.
-3, -2, -2/11
Suppose 100*c**2 + 2365444 - 49*c**2 + 3450*c - 50*c**2 - 374*c = 0. Calculate c.
-1538
Let l = 87/148 + 35/444. Factor 0 + 28/3*i**2 - l*i**3 + 0*i.
-2*i**2*(i - 14)/3
Let s = -525322/9 - -58370. Find t such that 8/9*t + 4/3*t**2 + 2/9 + 2/9*t**4 + s*t**3 = 0.
-1
Suppose 13/5*j**3 + 6 - 29/5*j**2 - 1/5*j**4 - 13/5*j = 0. Calculate j.
-1, 1, 3, 10
Let f be 0 - 34*(-2)/4. Factor -25*d**2 + 3*d + 10*d**4 - d + 15*d**3 - f*d - 15*d.
5*d*(d + 1)*(d + 2)*(2*d - 3)
Let n(t) be the first derivative of -t**4/14 - 460*t**3/21 - 1353*t**2/7 - 576*t + 45. Determine k so that n(k) = 0.
-224, -3
Let t = -127 - -153. Factor -2*v - t*v - 70 + 5*v**2 + 53*v.
5*(v - 2)*(v + 7)
Let m be (-28)/60 + -1 + 20/12. Let a = -33571/5 - -6715. Factor 4/5 + m*d**2 - a*d.
(d - 2)**2/5
Factor -3*s**2 - 2*s**2 - 223*s - 367 - 334 + 461 + 93*s.
-5*(s + 2)*(s + 24)
Let v(p) be the third derivative of -11*p**7/1365 - 9*p**6/130 - 17*p**5/390 + 15*p**4/26 - 8*p**3/39 - 18*p**2 + 3*p + 4. Let v(k) = 0. What is k?
-4, -2, 1/11, 1
Factor 2/15*x**2 - 4/5*x + 16/15.
2*(x - 4)*(x - 2)/15
Let m be (15 - (-676)/(-45))*6/(-1). Let x(c) be the first derivative of 3/5*c**2 + 0*c - 2 - m*c**3. Factor x(k).
-2*k*(k - 3)/5
Suppose 4*d - 12 = -5*d + 24. Let x(p) be the third derivative of 0*p - 24*p**2 + 0 + 5/33*p**3 - 2/165*p**5 + 19/132*p**d. Factor x(q).
-2*(q - 5)*(4*q + 1)/11
Let q be (11 - (17 + -12)) + -1. Let m(o) be the first derivative of 11 + 0*o**2 + 1/8*o**4 + 1/10*o**q - 1/3*o**3 + 0*o. Find b such that m(b) = 0.
-2, 0, 1
Let h(r) be the third derivative of r**8/896 - r**7/140 - 39*r**6/320 - 29*r**5/80 + 7*r**4/16 + 9*r**3/2 - 85*r**2 - 10. Factor h(p).
3*(p - 9)*(p - 1)*(p + 2)**3/8
Let z(f) = 2*f - 2. Let q(u) = -u**2 - 247*u + 500. Let g(m) = -q(m) + z(m). Determine b so that g(b) = 0.
-251, 2
Suppose -23*y = 49*y + 1284 - 1428. Determine o, given that -1/7*o**y + 1/7 + 0*o = 0.
-1, 1
Let t(a) be the first derivative of -a**3/3 - 33*a**2/2 + 34*a - 668. Factor t(q).
-(q - 1)*(q + 34)
Let w be (-352)/24 + (-280)/(-10) + -13. Factor w*n**2 + 13/3*n + 0.
n*(n + 13)/3
Determine v, given that 75*v**3 - 44*v**2 + 300 + 130*v + 39*v**3 - 2*v**4 + 51*v**2 - 145*v**2 - 84*v**3 = 0.
-1, 5, 6
Suppose 3702 = 5*h - 138. Factor -81*q - 93*q + 3*q**2 + h + 78*q.
3*(q - 16)**2
Let d be (-16)/24*9*8/(-6). Solve -9*n**4 + 5*n**3 - 3*n**2 - 9*n + d*n**4 + 0*n**4 = 0 for n.
-1, 0, 3
Factor 1688/13 - 2/13*r**2 - 840/13*r.
-2*(r - 2)*(r + 422)/13
Let p = 190966 + -763831/4. Find l such that -p + 15/2*l**2 - 9*l + 9*l**3 + 3/4*l**4 = 0.
-11, -1, 1
Let r = 544/383 + -3969/3064. Find m, given that -r*m**3 + 7/8*m**2 + 1 - 7/4*m = 0.
1, 2, 4
Determine j so that -249/7*j**3 + 0 + 180/7*j**2 + 81/7*j**4 - 12/7*j = 0.
0, 2/27, 1, 2
Let v(c) = 14*c + 21*c - 42 - 15*c + 10*c - 16*c**2. Let w(f) = -54*f**2 + 91*f - 127. Let u(k) = 7*v(k) - 2*w(k). Factor u(g).
-4*(g - 5)*(g - 2)
Let p be 4/34 - (-840)/85*1. Let o be (-5)/(-2) - (-15)/p. Let 0 + 1/4*j - 1/4*j**5 + 0*j**3 - 1/2*j**2 + 1/2*j**o = 0. What is j?
-1, 0, 1
Suppose -4*n - 7 + 15 = -4*o, o = 3*n - 6. Let h(j) be the third derivative of -27*j**n + 10/3*j**4 + 0 + 0*j - 8/3*j**3 + 11/15*j**5. Factor h(d).
4*(d + 2)*(11*d - 2)
Let b = -8337 - -58362/7. Find i such that -27/7*i**2 + b*i**3 - 3/7*i + 27/7 = 0.
-1, 1, 9
Let j be (675/25)/(7 + (-2086)/308). Find z such that j*z - 243/5 - 363/5*z**2 = 0.
9/11
Let i(b) be the third derivative of -b**6/360 + 11*b**5/30 - 121*b**4/6 - b**3/2 + 2*b**2 + 12. Let m(f) be the first derivative of i(f). Factor m(y).
-(y - 22)**2
Let j be (3030/1414)/(12/21). Suppose 5/4*u**3 - j*u + 0*u**2 - 5/2 = 0. What is u?
-1, 2
Let j(a) be the third derivative of -29/108*a**4 + 0*a**3 - 75*a**2 + 0*a + 1/270*a**5 + 0. Factor j(d).
2*d*(d - 29)/9
Determine o so that 1/2*o**3 + 528 + 487*o - 81/2*o**2 = 0.
-1, 16, 66
Let k(j) be the second derivative of -j**7/315 - 2*j**6/225 + j**5/50 - 113*j + 1. Suppose k(t) = 0. Calculate t.
-3, 0, 1
Let k(d) be the second derivative of 1/4*d**2 - 11/12*d**3 + 122 - 23/96*d**4 + d. Factor k(t).
-(t + 2)*(23*t - 2)/8
Let d be ((-42)/(-22) + 13/143)*3/2. Let -1/2*z - 5/4*z**2 - 1/4*z**4 + 0 - z**d = 0. Calculate z.
-2, -1, 0
Let y(l) be the third derivative of -l**7/840 + l**6/48 - 19*l**5/240 - 5*l**4/16 - 2605*l**2. Factor y(v).
-v*(v - 6)*(v - 5)*(v + 1)/4
Suppose 0 = 2*s + 5*k - 3 + 14, -k - 31 = 4*s. Let c be (-6)/24 + ((-634)/s - 0). Suppose -29*g - 35 - g + 84*g**2 - c*g**2 = 0. Calculate g.
-1, 7
Factor 13/8*n**3 - 1/8*n**5 - 7/8*n**2 - 5/8*n**4 + 0 + 0*n.
-n**2*(n - 1)**2*(n + 7)/8
Let d be (10/(-8)*4)/(-1). Let s be ((-30)/(-75) + 2/5)*d. Factor 0*k + 1/2*k**2 - 9/4*k**5 + 5*k**s + 0 - 13/4*k**3.
-k**2*(k - 1)**2*(9*k - 2)/4
Let k(j) be the third derivative of -j**6/180 - 197*j**5/45 - 1067*j**4 + 8712*j**3 + 37*j**2 - 15. Factor k(z).
-2*(z - 2)*(z + 198)**2/3
Determine f so that 4425*f**3 - 459*f**3 + 1 - 245727*f**5 - 1 + 124*f**4 + 3721*f + 245728*f**5 + 7564*f**2 = 0.
-61, -1, 0
Let w = -457 - -439. Let q = -107/6 - w. Suppose 1/2 - 1/2*f**2 + q*f**3 - 1/6*f = 0. Calculate f.
-1, 1, 3
Let o(d) be the third derivative of d**7/630 + d**6/120 - 11*d**5/60 - 35*d**4/72 - 15*d**2 - 27*d + 1. Find v, given that o(v) = 0.
-7, -1, 0, 5
Let x(d) be the third derivative of d**8/33600 + d**7/4200 - d**5/150 + 57*d**4/8 + 81*d**2. Let c(s) be the second derivative of x(s). Factor c(l).
(l - 1)*(l + 2)**2/5
Let w be (45/(-108)*2)/(-50). Let l(s) be the third derivative of -1/12*s**4 - 1/6*s**3 + 0 - 1/70*s**7 + w*s**6 + 0*s + 1/15*s**5 + 28*s**2. Factor l(y).
-(y - 1)**2*(y + 1)*(3*y + 1)
Let u(h) be the first derivative of -8/9*h**3 - 1/3*h**4 + 39 - 2/45*h**5 + 0*h - 8/9*h**2. Factor u(g).
-2*g*(g + 2)**3/9
Let k(f) be the first derivative of f**4/3 + 40*f**3/9 + 38*f**2/3 - 40*f + 1498. What is b in k(b) = 0?
-6, -5, 1
Let r(f) be the third derivative of -f**7/280 - 7*f**6/160 + 73*f**5/80 + 163*f**4/32 + 21*f**3/2 + 7802*f**2 + 2*f. Suppose r(w) = 0. What is w?
-12, -1, 7
Let w(z) = -3*z**5 - 9*z**4 - 14*z**3 + z**2 + 29*z. Let b(f) = -4*f**5 - 10*f**4 - 14*f**3 - 2*f**2 + 30*f. Let q(t) = -5*b(t) + 6*w(t). What is a in q(a) = 0?
-2, -1, 0, 2, 3
Let c(z) = -1614*z + 24210. Let r be c(15). Suppose f = -3*f. Factor r*y**2 + 0*y - 7/2*y**5 - 9/2*y**4 - y**3 + f.
-y**3*(y + 1)*(7*y + 2)/2
Let x(h) be the first derivative of h**5/20 - h**4/6 - 4*h**3/3 - 71*h + 38. Let i(w) be the first derivative of x(w). Determine b, given that i(b) = 0.
-2, 0, 4
Let d(b) be the first derivative of -5*b**4/4 + 10*b**3 + 35*b**2/2 - 1276. Factor d(k).
-5*k*(k - 7)*(k + 1)
Suppose 0 = -9*q - 2441 - 1789. Let w = -465 - q. Determine f so that 3/4*f**4 + 0 - 1/4*f**3 + 1/2*f - 3/4*f**2 - 1/4*f**w = 0.
-1, 0, 1, 2
Let x(i) be the third derivative of -4*i**7/105 - 19*i**6/140 - 2*i**5/15 + i**4/28 + 2*i**3/21 - 2*i**2 + 699*i. Find b such that x(b) = 0.
-1, -2/7, 1/4
Let c(r) be the second derivative of -r**5/4 - 805*r**4/6 - 65600*r**3/3 - 128000*r**2 - 3*r - 5. Suppose c(g) = 0. What is g?
-160, -2
Solve 35*w + 18*w - 605 + 57*w + 1607*w**2 - 1612*w**2 = 0.
11
Factor 190*k**2 - 29909*k**4 + 0*k + 0*k + 85*k**3 + 29904*k**4.
-5*k**2*(k - 19)*(k + 2)
Let b(l) be the second derivative of -l**7/20160 - l**6/360 - l**4/2 - 117*l. Let g(v) be the third derivative of b(v). Suppose g(y) = 0. What is y?
-16, 0
Let r(y) be the third derivative of y**5/27 - 49*y**4/36 + 144*y**2 - 2*y - 23. Factor r(n).
2*n*(10*n - 147)/9
Let j(o) be th