 = -119687 + 119691. Let -8/21*c + 8/21*c**3 + 2/7*c**2 - 8/21 + 2/21*c**l = 0. Calculate c.
-2, -1, 1
Let d = 14357/2 - 7168. Factor -d*v - 3/2*v**2 - 15.
-3*(v + 2)*(v + 5)/2
Let x(l) be the second derivative of l**6/10 - 81*l**5/20 + 24*l**4 - 46*l**3 + l + 42. Determine n, given that x(n) = 0.
0, 2, 23
Let q(z) = -6*z**2 + 62*z - 50. Let g(i) = 14*i**2 - 123*i + 65. Let p(d) = -2*g(d) - 5*q(d). Factor p(f).
2*(f - 30)*(f - 2)
Let m be 41/(-738)*-2*4/16. Let x(y) be the third derivative of 0*y**3 + 1/360*y**6 - 1/180*y**5 + 0*y + 22*y**2 - m*y**4 + 0. Determine c so that x(c) = 0.
-1, 0, 2
Let g(d) be the first derivative of d**6/200 + d**5/50 + d**4/40 + 53*d**2/2 - 7. Let w(y) be the second derivative of g(y). Let w(i) = 0. What is i?
-1, 0
Suppose 5 = 4*z - 3*o, 0*o + 1 = 3*z - 5*o. Let -29*b - 6 + 22*b + 3*b**3 - b**4 - 7*b**2 + 10*b**z = 0. What is b?
-1, 2, 3
Factor 3 - 1947/2*a - 1953/2*a**2.
-3*(a + 1)*(651*a - 2)/2
Let a be 390/(-585)*(-2)/10. Let s(q) be the third derivative of 0*q - 19*q**2 + 16/15*q**3 + 0 + 1/150*q**5 - a*q**4. Suppose s(f) = 0. What is f?
4
Find j, given that 1/11*j**3 + 0 - 17/11*j**2 - 138/11*j = 0.
-6, 0, 23
Let k be 132/168 - (16 + 2420/(-154)). Factor 2*m - 1/2*m**2 - 3*m**3 - k.
-(m + 1)*(2*m - 1)*(3*m - 1)/2
Determine f, given that 1152/7*f**2 + 50/7 + 480/7*f = 0.
-5/24
Let d be 81/6 - (0 + (-15)/10). Factor 20*s**3 - d*s - 16*s**4 + 2*s**5 + 20*s**2 - s**4 + 3*s**5 - 10*s**3 - 3*s**4.
5*s*(s - 3)*(s - 1)**2*(s + 1)
Let n(a) be the first derivative of a**9/2016 - 3*a**8/1120 + a**6/60 + 28*a**3/3 + 2*a - 19. Let w(z) be the third derivative of n(z). Factor w(t).
3*t**2*(t - 2)**2*(t + 1)/2
Let g(t) be the second derivative of -t**7/126 + t**6/5 + 6*t**5/5 - 388*t**4/9 - 728*t**3/3 + 2352*t**2 + 2*t + 371. Determine l so that g(l) = 0.
-6, 2, 14
Let z be (-26 - -25)/(2/(-66)). What is m in z*m + 1 + m**2 - 14*m - 17*m = 0?
-1
Let q be (1/(-2))/(1/(-12)). Suppose s = -3*p, 19*p = s + 21*p - 1. Factor -6*a**4 + 3*a**5 + q*a**2 - s*a**3 - 1150*a + 1150*a.
3*a**2*(a - 2)*(a - 1)*(a + 1)
Let z(p) be the first derivative of 134 + 18*p + 15/2*p**2 + p**3. Suppose z(q) = 0. Calculate q.
-3, -2
Let x = -966 + 968. Suppose -b - x*l = 0, 5 + 1 = 5*b + 4*l. Let -2/5*v**3 + 0*v + 0 - 12/5*v**b = 0. Calculate v.
-6, 0
Let l(s) be the second derivative of -11*s**5/130 - 89*s**4/39 - 461*s**3/39 - 6*s**2 + 1371*s. Find r, given that l(r) = 0.
-13, -3, -2/11
Let z be 18/(-33) + (-1350)/(-55). Factor 348 - z*a - 165 - 174 - 9*a**2.
-3*(a + 3)*(3*a - 1)
Let c = 52972/15195 - 560/1013. Solve -2/15*x**3 + 2/3*x**2 + c*x + 32/15 = 0 for x.
-2, -1, 8
Let n(s) = s**3 + 2*s**2 - 7*s - 6. Let w be n(-1). Let -2/9*u**3 + 0 - 4/9*u**w + 0*u = 0. Calculate u.
-2, 0
Let p(r) be the second derivative of -3 + 0*r**2 + 15*r + 1/8*r**4 - 5/2*r**3. What is b in p(b) = 0?
0, 10
Let y = -929 - -3783. Suppose 7*c - 86 = y. Find l, given that -c*l**2 - 2*l - l + 419*l**2 + 4 = 0.
-4, 1
Suppose -5*q - 1060 = 5*w, 3*q + 472 = -4*w - 375. Let y = 211 + w. Suppose -5/2*n**2 - 25/2*n + y = 0. Calculate n.
-5, 0
Suppose -21*u + 8 = -17*u. Suppose 2*q = 2*f - u*q, -3*f + 8 = 2*q. Suppose -8*k - 57*k**3 - 4*k**f + 4*k**4 + 65*k**3 + 0*k**2 = 0. What is k?
-2, -1, 0, 1
Let a(p) = -8*p**2 + 118*p - 115. Let g(o) = 29*o**2 - 413*o + 402. Let v(i) = 18*a(i) + 5*g(i). Solve v(j) = 0 for j.
-60, 1
Let g(f) = 15*f**2 + 84*f - 105. Let w be -1 - 3 - 5/(-15)*30. Let c(o) = -32*o**2 - 168*o + 213. Let n(y) = w*c(y) + 13*g(y). Suppose n(t) = 0. Calculate t.
-29, 1
Let z(h) be the first derivative of h**7/2415 - 7*h**6/345 - 6*h**2 - 3*h - 29. Let o(i) be the second derivative of z(i). Determine c, given that o(c) = 0.
0, 28
Let t(s) = 1103*s**2 - 5515*s + 3. Let x be t(5). Suppose -72/7*d - 3/7*d**5 - 12/7*d**2 + 54/7*d**x - 9/7*d**4 + 0 = 0. Calculate d.
-6, -1, 0, 2
Let h be -2 + 28 + (-92220)/3657. Let 4/23 + h*z**3 - 26/23*z**2 + 22/23*z**4 - 18/23*z = 0. Calculate z.
-1, 2/11, 1
Factor 10 - 25/4*i**2 - 5/2*i - 5/4*i**3.
-5*(i - 1)*(i + 2)*(i + 4)/4
Let s(d) be the first derivative of -d**6/6 - 297*d**5/5 - 589*d**4/2 - 1762*d**3/3 - 1173*d**2/2 - 293*d - 679. What is p in s(p) = 0?
-293, -1
Suppose 11*v - 16*v = -5*h - 3980, -786 = -v - h. Let p = -789 + v. Factor -1 + 3/2*o + 0*o**p - 1/2*o**3.
-(o - 1)**2*(o + 2)/2
Factor 2/7*a**3 + 0 - 76/7*a + 34/7*a**2.
2*a*(a - 2)*(a + 19)/7
Let u(j) = -j**4 + 79*j**3 + 55*j**2 - 83*j - 76. Let a(r) = -12*r**4 + 870*r**3 + 595*r**2 - 916*r - 836. Let k(i) = 2*a(i) - 23*u(i). Factor k(t).
-(t - 1)*(t + 1)**2*(t + 76)
Factor 150*u**2 + 19*u + 5*u**4 - 39*u + 24*u + 16*u - 200 + 13*u**3 - 78*u**3.
5*(u - 10)*(u - 2)**2*(u + 1)
Let m(r) be the third derivative of -2*r**7/35 - 23*r**6/200 + 39*r**5/100 + r**4/5 - 2*r**3/5 + 12*r**2 - 21. Solve m(v) = 0 for v.
-2, -2/5, 1/4, 1
Solve -14*u**2 + u**3 + 14309*u + 14302*u - 28611*u = 0 for u.
0, 14
Let v be ((-7 - -7)/(-5))/2. Let x(z) be the first derivative of 0*z + v*z**3 - 12 + 3/4*z**4 + 1/2*z**6 + 0*z**2 + 6/5*z**5. Solve x(d) = 0.
-1, 0
Let f be ((-288)/63 - -10) + (-18)/42. Let o(l) be the third derivative of -1/7*l**4 - 1/35*l**f + 0*l - 8/21*l**3 + 8*l**2 + 0 - 1/420*l**6. Factor o(r).
-2*(r + 2)**3/7
Suppose -69*d + 72 = -60*d. Let r be (2 - 3) + 0 - (1 - d). Factor 3/2*o**3 - r - 21/2*o - 3*o**2.
3*(o - 4)*(o + 1)**2/2
Let c be (-7)/(-1)*(-4)/(-14). Suppose 3*z + 1 = 3*g + 7*z, c = 4*g + 5*z. Solve -8*n**3 + 9*n**2 + 60*n - 6*n**2 - 12 - 2*n**3 - 5*n**g = 0 for n.
-2, 1/5, 2
Let 2 + 16 + 20*r**2 + 69*r - 2*r**2 + 45*r**2 = 0. What is r?
-2/3, -3/7
Let i(c) = -c**3 - 8*c**2 + 10*c + 14. Let q be i(-9). Suppose q*l = 11*l - 24. Factor -4*n**5 - 8*n**4 + 8*n**2 - 4 - n + l*n**4 - 3*n + 0 + 8*n**3.
-4*(n - 1)**2*(n + 1)**3
Suppose 5 = 2*t - 4*c - 27, 5*c + 4 = t. Let z = t + -19. Factor 2*g**z - 4*g**4 + 4*g**2 + 439 - 439 - 2*g.
2*g*(g - 1)**3*(g + 1)
Determine d, given that d**2 + 223/2 - 1785/4*d = 0.
1/4, 446
Let n(r) be the first derivative of r**7/2520 + r**6/540 + r**5/360 - 2*r**3/3 - r**2 + 53. Let m(g) be the third derivative of n(g). Factor m(o).
o*(o + 1)**2/3
Let j(t) = -35*t + 20*t**2 + 1 - 4 + 7 + 4. Let g(p) be the first derivative of 10*p**3/3 - 9*p**2 + 4*p + 77. Let n(k) = 7*g(k) - 4*j(k). Factor n(d).
-2*(d - 1)*(5*d - 2)
Let d(z) be the second derivative of z**5/50 - z**4/5 + z**3/3 + 12*z**2/5 + 2*z - 806. Factor d(a).
2*(a - 4)*(a - 3)*(a + 1)/5
Let t(y) be the second derivative of y**6/60 + y**5/5 - y**4/8 - 11*y**3/6 + 4*y**2 + 1502*y + 1. Determine j, given that t(j) = 0.
-8, -2, 1
Let n(o) be the first derivative of 4*o**4 + 1397*o**3 + 0*o**4 - 3*o**4 - 101*o**2 + 160*o - 46 + 29*o**2 - 1389*o**3. Determine l, given that n(l) = 0.
-10, 2
Find r such that -384/7*r + 0 + 28*r**3 - 184/7*r**2 - 4/7*r**4 = 0.
-1, 0, 2, 48
Let p(b) = -b**3 + b. Let v(f) = -5041*f**3 + 3854*f**2 - 342*f + 8. Suppose 10 + 3 = 13*w. Let c(t) = w*v(t) + 2*p(t). Factor c(j).
-(3*j - 2)*(41*j - 2)**2
Suppose 3*x + 15*h - 12*h - 240 = 0, -4*h + 162 = 2*x. Suppose 79 + 5*p**2 + x - 168 - 5*p = 0. Calculate p.
-1, 2
Suppose 4*d - 252 = 11*d. Let u be (-9)/d*-2*0. Solve -8/13*o**3 - 12/13*o - 2/13*o**4 + 22/13*o**2 + u = 0 for o.
-6, 0, 1
Let d(l) be the second derivative of l**10/10080 - l**8/560 - 83*l**4/12 - 87*l. Let u(f) be the third derivative of d(f). Factor u(k).
3*k**3*(k - 2)*(k + 2)
Let x(k) = -8*k**3 + 84*k**2 - 140*k - 196. Let a(f) = f**3 - 8*f**2. Let p(b) = 4*a(b) + x(b). Find i such that p(i) = 0.
-1, 7
Suppose -2*g - 3*z = -31, -7*g + 2*z - 42 = -11*g. Suppose 3*i = 4*o + 17, 6*i - g*i = -o - 8. Factor 1/4*u**4 + 3/2*u**i + 0*u + 0 + 9/4*u**2.
u**2*(u + 3)**2/4
Let y(l) be the second derivative of -36/19*l**2 + 0 - 4/57*l**3 - 134*l + 1/190*l**5 + 3/38*l**4. Determine d so that y(d) = 0.
-9, -2, 2
Let s(g) = -g**4 + 142*g**3 - 131*g**2. Let b(m) = 2*m**4 - 212*m**3 + 196*m**2. Let z(f) = 5*b(f) + 7*s(f). Determine w so that z(w) = 0.
0, 1, 21
Let q(m) = 8*m**4 - 609*m**3 - 683*m**2 + 2334*m + 2383. Let c(j) = j**4 - 76*j**3 - 85*j**2 + 292*j + 298. Let i(u) = 34*c(u) - 4*q(u). Solve i(g) = 0 for g.
-2, -1, 2, 75
Let f(r) be the third derivative of -r**8/6720 - r**7/840 - r**6/288 - r**5/240 - 103*r**3/6 - 25*r**2. Let v(a) be the first derivative o