8/13*n**b + 0*n + 0 = 0?
-1, -2/7, 0
Let l(x) be the second derivative of -x**5/70 - 899*x**4/42 - 512*x**3/3 - 3580*x**2/7 - 14*x - 24. Factor l(q).
-2*(q + 2)**2*(q + 895)/7
Suppose 0 = 5*o - 2*y + 32, y = 3*o + 3*y + 16. Let v be (4/12)/((-2)/3)*o. Determine a so that 10*a**3 - 12*a**5 + 4*a**2 - a**v - a**2 = 0.
-1/2, 0, 1
Let l(p) = -5*p**3 - 25*p**2 - 6*p + 36. Let w(v) = 5*v**3 + 25*v**2 + 7*v - 37. Suppose -5 = -u - 1. Let z(t) = u*w(t) + 3*l(t). Factor z(g).
5*(g - 1)*(g + 2)*(g + 4)
Let i(m) be the third derivative of m**6/40 - 2*m**5/5 + m**4/2 + 24*m**3 - 801*m**2 - 2. Factor i(h).
3*(h - 6)*(h - 4)*(h + 2)
Find w such that 0 + 3/7*w**2 + 3/7*w = 0.
-1, 0
Suppose 100*f - 715*f + 237 = -13*f - 1569. Solve 3/2*d**3 - 3/4*d + f*d**4 + 3 - 6*d**2 - 3/4*d**5 = 0.
-1, 1, 4
Let t(f) = 15*f + 46. Let b be t(-3). Let q be -5*12/90 + b. What is u in 2/9*u**2 - q*u**4 + 1/9 + 1/9*u**5 + 2/9*u**3 - 1/3*u = 0?
-1, 1
Factor 4*c**3 - 1/2*c**2 + 0 - 4*c + 1/2*c**4.
c*(c - 1)*(c + 1)*(c + 8)/2
Let f(w) = 703*w - 2*w**2 + 21 - 689*w + 3*w**2 - 4*w**2. Let n(q) = q**2 - q + 1. Let j(m) = f(m) + 4*n(m). Let j(y) = 0. What is y?
-5
Solve 4*g**2 - 33*g**3 + 13*g**4 + 42*g**3 - 10*g**4 + 0*g**2 + 2*g**2 = 0.
-2, -1, 0
Solve 0 + 576/7*c - 432/7*c**3 + 6/7*c**5 + 18*c**4 + 24/7*c**2 = 0 for c.
-24, -1, 0, 2
Find u, given that 87*u**3 + 658503*u + 57289761/4 + 22707/2*u**2 + 1/4*u**4 = 0.
-87
What is s in 1/8*s**2 - 8 - 3/2*s = 0?
-4, 16
Suppose 2*j = 2*k - k + 28, -2*j + 2*k + 26 = 0. Suppose -6 = -3*m + x, 2*m + 5*x + j = 19. Find f, given that 0*f - 1/6 + 1/6*f**m = 0.
-1, 1
Solve -38/3*g**3 + 38/3*g - 1/3*g**4 - 13 + 40/3*g**2 = 0 for g.
-39, -1, 1
Suppose 4*u - 9*u - 5*j = -5, -2*u = -3*j - 22. Let d be u*(-6)/(-55) + 27/11. Factor 0*l + 0*l**2 + 1/3*l**d + 0.
l**3/3
Let w(y) = -14*y**3 + 55*y**2 + 234*y - 2835. Let x(f) = 13*f**3 - 55*f**2 - 233*f + 2835. Let m(u) = 8*w(u) + 9*x(u). Solve m(b) = 0.
-7, 9
Let j(l) = -26*l**2 - 2260*l - 42. Let z(o) = 9*o**2 + 752*o + 15. Let c(s) = -5*j(s) - 14*z(s). Factor c(t).
4*t*(t + 193)
Let a = 315 - 312. Find u such that 94 - 36*u + a*u**2 - 24 + 24 + 14 = 0.
6
Find o, given that 0*o**2 - 18/5*o**3 + 0*o + 0 + 1/5*o**5 - 7/5*o**4 = 0.
-2, 0, 9
Let i(n) be the third derivative of n**6/60 - 2*n**5/15 + n**4/8 - 5*n**3/3 + 14*n**2 - 2. Let k be i(4). Factor 0*l - 1/5*l**3 - 4/5 + 3/5*l**k.
-(l - 2)**2*(l + 1)/5
Let m(i) be the second derivative of -i**7/504 + 31*i**6/72 - 61*i**5/24 + i**4/2 - 8*i**3/3 - 5*i - 9. Let j(w) be the third derivative of m(w). Factor j(b).
-5*(b - 61)*(b - 1)
Let t(p) be the third derivative of 0 + 11/24*p**4 - 5/3*p**3 - 94*p**2 - 1/60*p**5 + 0*p. Suppose t(g) = 0. Calculate g.
1, 10
Factor 0 + 2/15*c**3 + 0*c - 5278/15*c**2.
2*c**2*(c - 2639)/15
Let r = 864 + -708. Suppose -7*a + r - 114 = 0. What is p in 2/3*p**2 - 4*p + a = 0?
3
Suppose u + 26195 = 4*i, -157*i + 160*i + 5*u = 19675. Suppose -12*v - 6514 + i = 0. Factor -6/13*r**2 + 2/13*r**v + 0*r + 0.
2*r**2*(r - 3)/13
Factor 50*h**2 + 1105 - 1100*h + 58*h**2 + 48*h**2 - 161*h**2.
-5*(h - 1)*(h + 221)
Let s(u) be the second derivative of u**6/6 + 291*u**5/4 + 1445*u**4/4 + 4325*u**3/6 + 720*u**2 + 509*u. Determine o, given that s(o) = 0.
-288, -1
Suppose -40 = 5*f + 2*w, w + 32 = -3*f + 9. Let u be 2*(-5 + (-36)/f). Suppose 3/5 - 1/5*z**u - 2/5*z = 0. Calculate z.
-3, 1
Let r(h) be the third derivative of -h**8/504 + 4*h**7/315 + 14*h**6/45 - 11*h**5/15 - 31*h**4/4 - 18*h**3 + 8064*h**2. Suppose r(k) = 0. Calculate k.
-6, -1, 3, 9
Let m(l) = 2*l**2 - l + 1. Let k(q) = -9*q**2 - 58*q - 565. Let t(i) = 3*k(i) + 12*m(i). What is w in t(w) = 0?
-51, -11
Let d be (-38)/(-15960)*14 + (-6414)/(-1980). Find p, given that -34/11 + d*p - 2/11*p**2 = 0.
1, 17
Let x(i) be the third derivative of 0*i - 1/40*i**6 + 25/2*i**3 + 89*i**2 + 0 - 35/8*i**4 + 11/20*i**5. Let x(k) = 0. Calculate k.
1, 5
Let m = 1/5 - -3/10. Let u = -94950 - -189901/2. Determine t, given that -u*t**2 + 1/2*t + 0 + 1/2*t**4 - m*t**3 = 0.
-1, 0, 1
Let x(t) = -t**3 + t**2 - t + 1. Suppose -6*j + 460 - 454 = 0. Let l(i) = 25*i**2 + 20*i + 15. Let b(q) = j*l(q) - 5*x(q). Factor b(h).
5*(h + 1)**2*(h + 2)
Let l(h) be the second derivative of -h**5/140 - 11*h**4/84 + 29*h**3/42 + 39*h**2/14 + 1838*h - 1. Determine o, given that l(o) = 0.
-13, -1, 3
Let i(p) be the first derivative of -p**3/3 - 9*p**2 + 19*p - 2170. Factor i(m).
-(m - 1)*(m + 19)
Let n(x) = -13*x**3 - 569*x**2 - 8195*x - 31744. Let d(l) = 62*l**3 + 2842*l**2 + 40974*l + 158720. Let c(i) = 3*d(i) + 14*n(i). Factor c(z).
4*(z + 8)**2*(z + 124)
Solve 54/5 + 7/5*s**3 - 1/5*s**4 + 3/5*s**2 - 63/5*s = 0 for s.
-3, 1, 3, 6
Let p(l) be the third derivative of 4/3*l**7 + l - 169*l**2 + 4*l**3 + 181/30*l**6 + 158/15*l**5 + 53/6*l**4 + 0. Suppose p(j) = 0. What is j?
-1, -3/10, -2/7
Let 235*r**4 - 17*r**5 - 955*r**2 + 60 + 0*r**3 - 380*r - 405*r**3 + 142*r**5 = 0. Calculate r.
-2, -1, 3/25, 2
Let c = -286 - -287. Suppose -j - c = 3*a - 16, 5*j + 5 = 5*a. Factor -4/7*d**j - 16/7*d**2 - 12/7*d + 0.
-4*d*(d + 1)*(d + 3)/7
Let j(o) = -o**2 + 10*o - 19. Let h = 58 - 51. Let d be j(h). Suppose 2*y**3 + y**3 - 3 + 3*y**d - 5*y**3 + 3*y**3 - y = 0. Calculate y.
-3, -1, 1
Let h be -7 + 2 - (-99)/11. Suppose -g + 7 = -4*m + 11, -h*m - 2*g + 16 = 0. Find t such that -18*t**4 + 960/7*t**3 + 640/7*t - 96/7 - 1328/7*t**m = 0.
2/7, 2/3, 6
Let o(h) = -8*h**2 + 84*h + 104. Suppose 859 = -6*u + 895. Let a(f) = f**2 + 2*f - 1. Let s(l) = u*a(l) + o(l). Determine m, given that s(m) = 0.
-1, 49
Let s = 62 + -22. Suppose -s = -7*u - u. Find a such that -3*a**2 + 22 - 3 + 2*a + u - 23*a = 0.
-8, 1
Suppose 34/19*j**3 + 108/19*j**2 - 118/19*j - 24/19 = 0. What is j?
-4, -3/17, 1
Let w(i) be the third derivative of i**6/80 + 4983*i**5/20 + 8276763*i**4/4 + 9165135562*i**3 + 8*i**2 + 2*i - 28. Factor w(h).
3*(h + 3322)**3/2
Solve 43*w**4 - 440*w - 6*w**4 - 42*w**3 - 288 - 228*w**2 - 38*w**4 = 0 for w.
-36, -2
Let s = 266/3 + -88. Let n(g) be the second derivative of -1/3*g**4 + 0 - s*g**2 + 2/3*g**3 + 1/15*g**5 - 6*g. Solve n(p) = 0 for p.
1
Let z(l) be the second derivative of -l**4/24 + 85*l**3/4 + 374*l. Factor z(k).
-k*(k - 255)/2
Suppose 0 = -2*s + 64*f - 61*f, 0 = 5*s - 8*f + 1. Suppose -1 - s*z - 9/4*z**2 = 0. Calculate z.
-2/3
Let q be 44/(-10) + (-20)/(-50). Let g be q*(11/(-4) - -2). Solve -4*x + 4*x**3 + g*x**2 - 5*x**2 + 12 - 3*x**2 - 7*x**2 = 0 for x.
-1, 1, 3
Let n(d) be the second derivative of 1/120*d**5 + 8/3*d**2 + 1/18*d**4 + 2 - 51*d - 7/9*d**3. Suppose n(k) = 0. Calculate k.
-8, 2
Let f(n) = -n**2 + 54*n - 368. Let g be f(46). Let v(s) be the second derivative of 0*s**5 - 1/135*s**6 + 0 + 18*s + 1/54*s**4 + g*s**3 + 0*s**2. Factor v(t).
-2*t**2*(t - 1)*(t + 1)/9
Factor 3610/21*y - 114/7*y**2 - 2/21*y**4 + 0 - 22/7*y**3.
-2*y*(y - 5)*(y + 19)**2/21
Let c be (1 + -6)/((-13)/39). Let i = 18 - c. Factor -i*f - 28 + 28 + 2*f**2 + f.
2*f*(f - 1)
Suppose 32 = -7*k + 18. Let x be 1159/122 + 18/k. Factor 1/2*l - 1/2*l**3 - x*l**2 + 1/2.
-(l - 1)*(l + 1)**2/2
Determine d so that -3/5*d**2 - 21035712/5 + 15888/5*d = 0.
2648
What is w in 916*w - 432 - 1465702*w**3 + 688*w + 1465688*w**3 - 318*w**2 = 0?
-27, 2/7, 4
Let w(o) = 13*o**2 - 316*o - 570. Let s be w(26). Let -1/8*a**s - 5/4*a + 11/8 = 0. What is a?
-11, 1
Suppose 10*o + 251 = 271. Let f be 70 + ((-32)/48)/(o/12). Solve 78*r + 12 + f*r**4 + 21/2*r**5 + 165*r**2 + 309/2*r**3 = 0.
-2, -1, -2/7
Let d be (-1)/6*-9 - 2 - (-140)/56. Factor -25/4*f**d + 0 + 1/2*f.
-f*(25*f - 2)/4
Let n(y) be the second derivative of 26/3*y**4 + 2*y**3 + 2*y + 8*y**5 + 16/5*y**6 + 10/21*y**7 - 10 - 4*y**2. Factor n(l).
4*(l + 1)**3*(l + 2)*(5*l - 1)
Suppose -2*c - 4 = -3*a, 3*c - 4 = 4*a - 2*a. Solve s**a - 4*s**5 - 17*s**2 + 10*s**5 - 7*s**5 - 6*s + 16*s**2 + 7*s**3 = 0.
-2, -1, 0, 1, 3
Let h be ((342798/304)/97)/((-7)/(-42)). Factor 2883/8 + h*q + 27/8*q**2.
3*(3*q + 31)**2/8
Solve -26*y**2 + 78*y**2 + 2035220 - 47*y**2 - 189*y + 6569*y = 0 for y.
-638
Let z = -69983/2 - -35713. Let r = -720 + z. Let 0 - 3*g - r*g**3 - 9/2*g**2 = 0. What is g?
-2, -1, 0
Let h(x) = -x**2 + x + 11. Let l be h(25). Let k = 591 + l. Factor 3/7*w - 2/7*w**3 + 3/7*w**4 - 2/7*w**k - 1/7*w**5 - 1/7.
-(w - 1)**4*(w + 1)/7
Fac