0/13*y**2 + 20/13 = 0.
-5, -2/7, 1
Suppose -6*g = -8*g - 4. Let r be (((-8)/(-20))/1)/(g/(-10)). Factor -8*a**2 - 10*a**r + 2*a**4 - 10*a**2 + 26*a**2.
2*a**2*(a - 1)*(a + 1)
Let j(o) = -o**3 + 5*o**2 - 59*o - 79. Let q be (-2)/(-2)*-6 + 39 + -35. Let v(w) = -2*w**2 + 20*w + 26. Let s(x) = q*j(x) - 7*v(x). Find t such that s(t) = 0.
-4, -1, 3
Suppose -15223*b = -14826*b - 1588. Factor 4*t + 4/3 + 1/3*t**b + 2*t**3 + 13/3*t**2.
(t + 1)**2*(t + 2)**2/3
Let o(y) = -2*y + 28. Let h(n) = n + 1. Let z be h(12). Let j be o(z). Let -17*f - 6*f**3 + 30*f - 15*f + 6*f**j + 2*f**4 = 0. What is f?
0, 1
Let 8/9*s + 0 + 50/3*s**2 - 13/3*s**3 - 19/9*s**4 = 0. What is s?
-4, -1/19, 0, 2
Let z = -10 - -12. Let n(x) be the first derivative of -x**z + 1/3*x**3 - 2 + 0*x. Factor n(w).
w*(w - 2)
Let s be (2/(-2 - -28))/((-322)/23184) - -6. Factor -6/13 + 2/13*r**3 - 2/13*r + s*r**2.
2*(r - 1)*(r + 1)*(r + 3)/13
Determine z, given that 3*z - 3*z + 122*z**2 + 116253*z**4 - 120*z**3 - 116255*z**4 = 0.
-61, 0, 1
Let z = -6439/42 - -6445/42. Find s, given that -10/7*s**2 + z*s**3 - 23/7*s - 12/7 = 0.
-1, 12
Let t(n) be the third derivative of 11*n**6/480 - 21*n**5/160 - n**4/16 - 217*n**3/6 + 153*n**2. Let c(h) be the first derivative of t(h). Factor c(s).
3*(s - 2)*(11*s + 1)/4
Let t(m) = 11*m**2 + 582*m - 2. Let c(i) = -520*i**2 - 27355*i + 95. Let s(f) = 2*c(f) + 95*t(f). What is q in s(q) = 0?
-116, 0
Let f be 15/(-35)*(8 - (-390)/(-45)). Suppose -13 = -4*a + 5*k, 5*a - 5*k - 8 = 7. Determine n so that f*n**a + 10/7 - 12/7*n = 0.
1, 5
Let o = 1092 - 185. Let r = 9979/11 - o. Let 72/11 + r*x**3 + 48/11*x - 2*x**2 = 0. What is x?
-1, 6
Let h be (-1 - -16)*142/30885*29. Factor -3/2*y**3 - 1/3*y**h + 6*y + 4/3.
-(y - 2)*(y + 2)*(9*y + 2)/6
Let l(j) = 621*j + 2487. Let i be l(-4). Let m(w) be the third derivative of 0*w - 1/30*w**6 + 0 - 1/3*w**5 - 26*w**2 + 0*w**i - 2/3*w**4. Factor m(b).
-4*b*(b + 1)*(b + 4)
Let a = 111 - 51. Suppose -6*t = -2*t - a. Factor 2*z**2 - 4*z**2 - t*z + 14 + 0*z**2 + 3*z.
-2*(z - 1)*(z + 7)
Let j(m) be the second derivative of m**6/165 - 4*m**5/55 + 3*m**4/22 + 6*m**3/11 + 225*m. Factor j(z).
2*z*(z - 6)*(z - 3)*(z + 1)/11
Let q(t) be the first derivative of t**5/150 - 13*t**4/20 + 38*t**3/15 + 10*t**2 + t + 130. Let h(b) be the second derivative of q(b). Factor h(o).
2*(o - 38)*(o - 1)/5
Let u = -50/3 - -17. Let o(s) = s**3 - 82*s**2 + 442*s + 1067. Let n be o(76). Suppose 7/3*r**2 + u*r + n*r**4 + 0 + 5*r**3 = 0. What is r?
-1, -1/3, 0
Let z = 2056/369 + -192/41. Let s(b) be the first derivative of 0*b - 4/5*b**5 - z*b**3 + 0*b**2 + 3/2*b**4 + 6 + 1/9*b**6. Factor s(h).
2*h**2*(h - 4)*(h - 1)**2/3
Let c = 226 + -176. Let 10*q**2 - 4*q**4 + 19*q**3 - c*q + 6*q + 2*q**2 - 7*q**3 + 24 = 0. Calculate q.
-2, 1, 3
Factor 2/11*p**2 - 400/11 - 34/11*p.
2*(p - 25)*(p + 8)/11
Let s(w) be the second derivative of 2*w**7/147 - 74*w**6/105 + 239*w**5/35 + 1873*w**4/21 + 320*w**3 + 504*w**2 - 115*w - 27. Find i such that s(i) = 0.
-2, -1, 21
Let p(f) = -f**2 + 2*f + 1. Let l(n) = n**3 + 10*n**2 - 3*n - 2. Let g be 2 + (-4 - -4) - (-4)/(-4). Let o(i) = g*l(i) + 5*p(i). What is r in o(r) = 0?
-3, -1
Suppose -u + 44 = 7*w - 3*w, -2*w + 76 = 2*u. Solve -u*m**4 - 2*m**2 + 38*m**4 + 1 - 1 = 0 for m.
-1, 0, 1
Let d(r) be the first derivative of r**6/33 + 4*r**5/55 - 2*r**4/11 - 4*r**3/33 + 3*r**2/11 - 739. What is g in d(g) = 0?
-3, -1, 0, 1
Let u be (2/12)/(12/54). Let f(s) be the first derivative of 3/5*s**5 + 0*s**2 - 2 + 0*s - 2*s**3 + u*s**4. Factor f(a).
3*a**2*(a - 1)*(a + 2)
Let u(p) be the second derivative of -p**4/42 - 31*p**3/7 - 26*p**2 + 5131*p. Factor u(s).
-2*(s + 2)*(s + 91)/7
Factor 4/5*z**3 + 0 - 188*z**2 + 0*z.
4*z**2*(z - 235)/5
Let x(p) = 35*p**2 + 2105*p + 2085. Let d(y) = 64*y**2 + 4211*y + 4174. Let w(r) = 5*d(r) - 9*x(r). Factor w(g).
5*(g + 1)*(g + 421)
Let n(v) be the first derivative of v**7/147 - 4*v**6/105 + 3*v**5/70 - 95*v + 4. Let s(c) be the first derivative of n(c). Determine g so that s(g) = 0.
0, 1, 3
Suppose -5*t + 6*i = 4*i - 10, 5*i - 4 = -2*t. Find s such that 675 + 17*s**t - 873*s + s**3 - 1062*s - 284*s**2 - 10*s**3 = 0.
-15, 1/3
Let y(g) be the first derivative of -80*g**3 - 715*g**2/2 + 15*g - 1580. Suppose y(i) = 0. Calculate i.
-3, 1/48
Let w(d) be the first derivative of 490*d**5/9 + 1120*d**4/9 + 1628*d**3/27 - 64*d**2/3 + 2*d - 2560. Factor w(b).
2*(b + 1)**2*(35*b - 3)**2/9
Let z(m) be the second derivative of 2/15*m**6 - 6*m**2 - 10/3*m**3 - 2/21*m**7 + 75*m + 2/3*m**4 + 0 + 6/5*m**5. Factor z(r).
-4*(r - 3)*(r - 1)*(r + 1)**3
Let y(s) be the second derivative of s**5/80 + 11*s**4/16 - 1009*s. Factor y(d).
d**2*(d + 33)/4
Let x(v) be the first derivative of v - 112. Let u(q) = -q**2 - 2*q + 9. Let p(m) = 4*u(m) - 36*x(m). Factor p(g).
-4*g*(g + 2)
Let v be (-570)/(-140) - (702/36 - 18). Factor -2/7 - 48/7*z**2 + 32/7*z**3 + v*z.
2*(z - 1)*(4*z - 1)**2/7
Let h(m) be the second derivative of m**7/231 + 7*m**6/55 - 81*m**5/110 - 221*m**4/66 - 40*m**3/11 + m + 2268. Suppose h(j) = 0. Calculate j.
-24, -1, 0, 5
Let w(z) be the third derivative of z**7/210 + 11*z**6/120 + 37*z**5/60 + 15*z**4/8 + 3*z**3 - 839*z**2. Determine x, given that w(x) = 0.
-6, -3, -1
Let l(h) be the first derivative of -h**6/69 + 44*h**5/115 - 165*h**4/46 + 904*h**3/69 - 128*h**2/23 - 1536*h/23 + 651. What is c in l(c) = 0?
-1, 3, 4, 8
Let b(d) = -25*d - 24 + 3*d**3 + 3399*d**2 - 3364*d**2 - 16 - 24. Let m(p) = -2*p**3 - 34*p**2 + 26*p + 64. Let r(j) = 6*b(j) + 7*m(j). Factor r(t).
4*(t - 4)**2*(t + 1)
Let m = -1033 + 1036. Let u(d) be the second derivative of 1/25*d**6 + 0 + 0*d**4 - 7*d + 1/25*d**5 + 0*d**2 + 0*d**m. Factor u(k).
2*k**3*(3*k + 2)/5
Let z be 0 + (-38)/8 + 20 + -34 + 19. Factor -x + 2*x**2 - 5/4*x**3 + 0 + z*x**4.
x*(x - 2)**2*(x - 1)/4
Let u(p) = -p**2 + p + 5. Let n(c) = 10*c**2 - 799*c - 184. Let d(b) = -3*n(b) - 15*u(b). Determine q, given that d(q) = 0.
-1/5, 159
Let j(l) be the first derivative of 0*l**3 - 15 + 0*l + 5*l**2 + 1/570*l**5 - 1/228*l**4. Let k(a) be the second derivative of j(a). Factor k(h).
2*h*(h - 1)/19
Let g = -1065473 - -1065476. Factor 76*j**2 - 25*j**g - 1/4*j**5 + 4*j**4 + 64 - 112*j.
-(j - 4)**3*(j - 2)**2/4
Suppose -h = -6*h + 30. Suppose 0 = 3*r - 3*b - 30, -2*r + h*b - 2*b + 26 = 0. Factor -11*o + 0*o**2 + 17 - 16*o + 3*o**2 + r.
3*(o - 8)*(o - 1)
Let w be 2/5*495/99. Find r such that -5/8*r**4 + 5/8*r**w + 0*r + 1/8*r**3 - 1/8*r**5 + 0 = 0.
-5, -1, 0, 1
Factor -110*z - 128*z - 4*z**3 + 116*z**2 + 58*z + 108 - 40*z.
-4*(z - 27)*(z - 1)**2
Factor -4*g**3 + 221*g + 160 - 13128*g**2 + 11*g + 13196*g**2.
-4*(g - 20)*(g + 1)*(g + 2)
Let w(p) be the third derivative of -p**7/630 - 157*p**6/180 - 182*p**5 - 62475*p**4/4 + 128625*p**3/2 + 1038*p**2. Suppose w(a) = 0. What is a?
-105, 1
Suppose 171 = 11*u + 8*u. Suppose -b - 3*d = -u, -2*d - 19 + 25 = b. Suppose b + 2*n**2 + n + 3/4*n**3 = 0. Calculate n.
-2, -2/3, 0
Let h be 22*(-27)/(-891)*(-279)/(-4). Let -84*c - 32 - 18*c**2 + 9/2*c**5 + 83*c**3 + h*c**4 = 0. What is c?
-8, -2, -2/3, 1
Let k(i) be the first derivative of -16*i**5/45 + 19*i**4/3 + 56*i**3/3 - 454*i**2/9 + 64*i/3 + 1157. Find b such that k(b) = 0.
-3, 1/4, 1, 16
Let u(y) be the third derivative of -y**6/180 - 3359*y**5/90 - 2822399*y**4/36 - 2819041*y**3/9 - y**2 + 444. Factor u(s).
-2*(s + 1)*(s + 1679)**2/3
Let c(q) be the first derivative of 1/2*q**4 + 0*q - 4/9*q**3 + 0*q**5 - 1/9*q**6 + 113 + 0*q**2. Factor c(n).
-2*n**2*(n - 1)**2*(n + 2)/3
Suppose 3/4 + 78*h**3 - 6*h - 15/2*h**2 + 315/4*h**4 = 0. What is h?
-1, -1/3, 1/7, 1/5
Let z be (-5)/((-75)/9) + (-2115)/(-225). Let i(v) be the third derivative of 5/12*v**4 + 0 + 1/12*v**5 + 0*v**3 + z*v**2 + 0*v. Factor i(k).
5*k*(k + 2)
Suppose -5*n = 2*o + 51, 536*o + 2*n + 32 = 541*o. Factor -11/10*v**o + 3/5*v + 0 + 2/5*v**3 + 1/10*v**4.
v*(v - 1)**2*(v + 6)/10
Suppose -35 + 27 = 2*t. Let l be (-5 + 4)/(2/t). Factor f**3 - 14*f**l + 11*f**2 + 6*f - 4*f.
f*(f - 2)*(f - 1)
Let 57988*x**3 + 57984*x**3 - 115967*x**3 - 90*x**2 - 200*x = 0. Calculate x.
-2, 0, 20
Let n be 4736/3108*14/4*(-27)/(-72). Let -98/17*g**3 - 532/17*g**n - 48/17 + 328/17*g = 0. What is g?
-6, 2/7
Let r(s) be the first derivative of s**5/100 + s**4/30 - s**