. Calculate s.
-5, 1
Let n be (-29)/((-4)/(-14) + 521/(-1799)). Let 51195*m**2 - 51459*m**2 - 3*m**3 - 170368 + n*m + 5*m**3 + 4163*m = 0. What is m?
44
Suppose -14 = 3*f - 5*u + 2, -4*u = 5*f - 35. Factor 57*l**2 + 4*l - 59*l**2 - 31*l**4 + f - 4*l**3 + 30*l**4.
-(l - 1)*(l + 1)**2*(l + 3)
Suppose 256*d = 718 + 562. Let q(w) be the third derivative of 0 + 0*w - 10*w**2 - 2/39*w**4 + 1/78*w**d + 1/13*w**3. Solve q(o) = 0 for o.
3/5, 1
Let x(n) be the third derivative of n**5/330 - 49*n**4/132 + 18*n**3 - 106*n**2 - 5*n. Factor x(w).
2*(w - 27)*(w - 22)/11
Find g such that 0 + 32/3*g**3 - 32/3*g - 4/3*g**4 + 4/3*g**2 = 0.
-1, 0, 1, 8
Factor 183*x + 2*x**3 - 34*x**2 + 91 + 0*x**3 - 379 - 7*x.
2*(x - 9)*(x - 4)**2
Let g(m) be the first derivative of -35*m**6/6 + 208*m**5 - 9255*m**4/4 + 20930*m**3/3 + 3380*m**2 + 1824. What is k in g(k) = 0?
-2/7, 0, 4, 13
Let a(c) be the first derivative of -10*c + 58 + 25/16*c**4 - 5/2*c**2 + 1/4*c**5 + 5/2*c**3. Determine q, given that a(q) = 0.
-2, 1
Let z(c) be the second derivative of c**6/840 + c**5/420 - 5*c**4/168 + c**3/14 - 7*c**2 + 91*c. Let a(s) be the first derivative of z(s). Factor a(u).
(u - 1)**2*(u + 3)/7
Let j = 145741/14 + -72867/7. Suppose -5/2*y**4 + 7/2*y - j*y**5 - 3*y**3 + 3/2 + y**2 = 0. What is y?
-3, -1, 1
Let w be 2/(-5)*(-18)/4*(-350)/(-315). Suppose -4*m - 3*j = -9 - 3, 5*m = -j + 15. What is b in 8/7 + 2*b**m - 2*b - 12/7*b**w + 4/7*b**4 = 0?
-4, -1, 1/2, 1
Let v be (-570)/(-133) + -3 - (-6 + 7). Factor 3200/7 + 160/7*t + v*t**2.
2*(t + 40)**2/7
Suppose g - 3 = 0, u + 3*g = -5 + 11. Let n be 4 - u - (1749/110 - 9). Factor 0*y**4 - 1/5*y**2 + 3/10*y - 2/5*y**3 + 1/5 + n*y**5.
(y - 2)*(y - 1)*(y + 1)**3/10
Let k(c) be the second derivative of -c**5/4 + 385*c**4/12 - 1500*c**3 + 33210*c**2 - 3787*c. Find w such that k(w) = 0.
18, 41
Suppose 34/13*l**2 - 12/13 + 98/13*l = 0. What is l?
-3, 2/17
Suppose q + 3*k - 439 = 0, 38*q + 3*k + 2195 = 43*q. Let v = 443 - q. Let -21/5*g**v + 18/5*g**3 + 3/5*g**2 + 6/5*g**5 + 0 - 6/5*g = 0. What is g?
-1/2, 0, 1, 2
Let q(h) be the first derivative of -3*h**5/5 + 54*h**4 + 378*h**3 + 804*h**2 + 693*h + 830. Factor q(p).
-3*(p - 77)*(p + 1)**2*(p + 3)
What is b in -381*b**2 + 1139*b**2 + 995*b - 374*b**2 - 379*b**2 + 2940 = 0?
-196, -3
Let h(p) be the second derivative of -128*p**6/105 + 11888*p**5/35 - 2964*p**4/7 + 4442*p**3/21 - 370*p**2/7 - p - 4. Factor h(u).
-4*(u - 185)*(4*u - 1)**3/7
Let c(f) be the first derivative of -3*f**5/25 + 159*f**4/10 - 2913*f**3/5 + 8268*f**2/5 - 8112*f/5 - 1825. Factor c(h).
-3*(h - 52)**2*(h - 1)**2/5
Let h(i) = 3*i**2 + 1740*i - 6. Let o(s) = 6*s**2 + 3495*s - 13. Let p(k) = -13*h(k) + 6*o(k). Factor p(g).
-3*g*(g + 550)
Suppose 75 = -5*m, -435 = 5*k + 3*m - 405. Factor -4/5*p**4 - 28/5*p**k + 0*p - 24/5*p**2 + 0.
-4*p**2*(p + 1)*(p + 6)/5
Let k(i) = 2*i**2 - 31676*i - 41785926. Let a(x) = -x**2 + 10559*x + 13928642. Let s(o) = -8*a(o) - 3*k(o). Let s(z) = 0. Calculate z.
-2639
What is t in 1215/2 + 59/6*t**2 - 1/6*t**3 - 333/2*t = 0?
5, 27
Let f(m) = -412*m**2 - 4384*m - 27488. Let o(v) = 44*v**2 + 487*v + 3054. Let i(g) = -3*f(g) - 28*o(g). Suppose i(k) = 0. What is k?
-6, 127
Let g(d) be the second derivative of d**6/45 - 4*d**5/15 + d**4 - 16*d**3/9 + 5*d**2/3 - d + 43. Solve g(o) = 0 for o.
1, 5
Suppose -8*h + 159 - 103 = -104. Let f(u) be the first derivative of h + 32/11*u - 8/11*u**2 + 2/33*u**3. Factor f(r).
2*(r - 4)**2/11
Suppose 5*f - 3*f - 2*d = 46, -49 = -3*f - d. Let k be 158/f + -18 + 11. Factor -10/9*x**2 + k*x + 8/9.
-2*(x - 2)*(5*x + 2)/9
Factor -121 - 1/6*d**3 - 253/6*d - 14/3*d**2.
-(d + 6)*(d + 11)**2/6
Let u(k) be the first derivative of -k**5/25 - k**4/10 + k**3/5 - 1180. Factor u(r).
-r**2*(r - 1)*(r + 3)/5
Let a(q) = q**2 + 8542 + 0*q**2 + 23*q - 2*q - 8585. Let x be a(-23). Factor -4/9*j**5 + 8/9*j**4 - 8/9*j**2 + 0*j**x + 4/9*j + 0.
-4*j*(j - 1)**3*(j + 1)/9
Suppose 0 = 5*r + 5*m + 55, -492*r + 2*m + 16 = -497*r. Solve -65/6*c + 5 - 5/6*c**3 + 20/3*c**r = 0.
1, 6
Let g be ((-262)/1965)/(9 - (-3064)/(-340)). Let -104/3*d - 4/3*d**5 - 158/3*d**2 - 8 - g*d**4 - 36*d**3 = 0. Calculate d.
-3, -2, -1, -1/2
Let d(p) = 16*p**3 - 14*p**2 - 55*p + 68. Let h(t) = 2*t**3 - t**2 + t + 1. Let x(z) = -d(z) + 5*h(z). Factor x(f).
-3*(f - 1)*(f + 3)*(2*f - 7)
Let s(y) be the third derivative of -y**9/45360 - y**8/6720 + y**6/540 - 13*y**4/24 + 6*y**2. Let q(x) be the second derivative of s(x). Factor q(g).
-g*(g - 1)*(g + 2)**2/3
Factor 274*t + 2/3*t**2 - 1652/3.
2*(t - 2)*(t + 413)/3
Let n(g) be the third derivative of -g**7/175 - 17*g**6/150 - 89*g**5/150 - 37*g**4/30 - 16*g**3/15 - 190*g**2. Let n(d) = 0. Calculate d.
-8, -2, -1, -1/3
Let w = -1 - -6. Let j be 8 - 5 - -10 - 7. Factor -6*z**4 - j*z**3 - 3*z**5 + 5*z**w + 10*z**3.
2*z**3*(z - 2)*(z - 1)
Let b(a) be the third derivative of a**6/840 + a**5/140 - 3*a**4/56 - 56*a**3/3 + 6*a**2 - 19*a. Let h(l) be the first derivative of b(l). Factor h(d).
3*(d - 1)*(d + 3)/7
Let v(d) = -d**3 + 2. Let g be v(0). Suppose 30 = 5*c + g*j, -3*c + 0*j - 3*j = -27. Find b, given that -12*b**c + 3*b**3 + 15*b**4 + 4*b - 4*b = 0.
-1, 0
Let s be (-15)/(-3) + 19/(1900/420). Find h such that -8*h - 24/5 + s*h**2 - 2*h**3 = 0.
-2/5, 2, 3
Let k be (2 + 1)/((-1575)/14 + -6). Let j = k - -83/158. Factor -1/2*m + j*m**3 - m**2 + 1.
(m - 2)*(m - 1)*(m + 1)/2
Let s(q) = 5*q**5 - 2*q**4 + 4*q**3 + 5*q**2 - 9*q. Let v(d) = -2*d**5 - d**3 - d**2 + 3*d. Let g(k) = s(k) + 3*v(k). What is m in g(m) = 0?
-2, -1, 0, 1
Let m be ((-21)/(-18) - 2)*(14 - 365/25). Let h(u) be the second derivative of -m*u**4 + 0 + 13*u + 0*u**2 + 1/2*u**3 + 3/20*u**5. Let h(y) = 0. What is y?
0, 1
Let n be -2 + (-3828)/(-21) + (-104)/(-364). Let q = 182 - n. Factor -6/7*m - q*m**2 + 4/7.
-2*(m + 1)*(5*m - 2)/7
Let a(j) be the first derivative of -j**3/6 + j**2/2 + 255*j/2 + 4066. Factor a(y).
-(y - 17)*(y + 15)/2
Let b(v) = -280*v**3 - 10*v**2 + 10*v - 5. Let n(d) = d**3 + d**2 + 1. Suppose l - 3 + 4 = 0. Let g(k) = l*b(k) - 5*n(k). Let g(p) = 0. Calculate p.
-1/5, 0, 2/11
Suppose 4*h - 5*v = -19, 3*h = -3*v - 4 - 17. Let m be h/10 - 23/(-5). Solve c**4 + 15*c**m - 13*c**4 + 9*c**2 + 12*c**3 = 0 for c.
-3, -1, 0
Let o be 4/(-18)*(-36)/4. Determine r so that -14 + 0 + 2 + 78*r + 70*r - 158*r - o*r**2 = 0.
-3, -2
Let g(k) be the second derivative of -k**7/252 + 31*k**6/180 + 73*k**5/120 - 235*k**4/72 + 11*k**3/3 + 18*k + 14. Let g(h) = 0. Calculate h.
-4, 0, 1, 33
Let y be (-5)/2*(-258)/(-215). Let k be y/9*5 - (-297)/81. Factor 10/23*s**k + 4/23*s - 2/23*s**5 + 6/23*s**3 + 0 - 2/23*s**4.
-2*s*(s - 2)*(s + 1)**3/23
Let t(m) be the first derivative of m**8/420 + 2*m**7/35 + 8*m**6/15 + 8*m**5/3 + 8*m**4 + 75*m**3 + 143. Let v(o) be the third derivative of t(o). Factor v(g).
4*(g + 2)**3*(g + 6)
Let n(o) be the second derivative of -o**4/18 - 32*o**3/9 - 29*o**2 - 400*o + 1. Solve n(w) = 0 for w.
-29, -3
Let i(u) be the first derivative of -u**3/5 - 8091*u**2/5 - 21821427*u/5 + 8566. Factor i(h).
-3*(h + 2697)**2/5
Let i(p) = p**2 - 10. Let o(r) = -2*r**3 - 10*r**2 + 48*r + 200. Let w(x) = 4*i(x) + o(x). Factor w(q).
-2*(q - 5)*(q + 4)**2
Suppose 3*z + 5*h - 36 = -4, 5*h = 4*z - 101. Suppose 0 = 18*u - z*u + 2. Solve 86*p**2 - 10*p**4 + 86*p**u - 180*p**2 + 24*p**3 = 0 for p.
0, 2/5, 2
Let u(w) = 10*w - 68. Let a be u(12). Suppose -4*v + 16 = 50*b - a*b, -b + 4 = v. Let 3/7*i**3 - 3/7*i - 3/7*i**2 + 3/7*i**v + 0 = 0. What is i?
-1, 0, 1
Suppose -14 = -u - 5*f, -3 = -u - 4*f + 9. Factor 0 - 115*d**u - 5*d**2 + 35*d**2 + 34*d + 113*d**4 + 12 + 6*d**3.
-2*(d - 6)*(d + 1)**3
Factor -384/5*f + 0 + 2/5*f**2.
2*f*(f - 192)/5
Suppose -2*j + w = 9 - 21, 9*w = 2*j - 60. Let g(m) be the third derivative of 0*m**j + 1/72*m**6 - 1/36*m**5 + 0 - 7*m**2 + 0*m + 0*m**4. Factor g(y).
5*y**2*(y - 1)/3
Factor -9*j**3 + 343*j - 343*j + 1777*j**2 + 5*j**3 + 251*j**2.
-4*j**2*(j - 507)
Suppose -4*t = 4*x - 28, -2*x + 12 = 4*t - 12. Let p = -189 - -190. Factor -p + 5*u**x + 5 - 6*u**2 + 0.
-(u - 2)*(u + 2)
Suppose 2 = -2*j - 3*x, -4*j - 3*x + 2 = 6. Let p be (0 + 3)*(-1)/j. What is h in -5*h**p + 6*h**3 + 5*h**2 + 4*h**3 = 0?
-1, 0
Suppose 0 = -5753*i + 5700*i + 106. Factor -1458/5 - 54/5*r**i + 486/5*r + 2/5*r**3.
2*(r - 