(9*u - 2)**3/7
Let d(t) = 10*t**2 - 818*t. Let b(l) = 28*l**2 - 2460*l. Let i(c) = -6*b(c) + 17*d(c). Find a such that i(a) = 0.
-427, 0
Let b = -560 + 582. What is t in -44*t + t**3 - 13*t + 10*t - 2 - 22 - b*t**2 = 0?
-1, 24
Suppose 6 = -2*d, 3*v = 4*v + 2*d - 107. Suppose -1375 = 1335*c - 1360*c. Factor -2*b**2 + 58 + c + b**3 + b - v.
b*(b - 1)**2
Let f(v) = -74*v - 246. Let n be f(-6). Let x be n/(-27) - -9 - 1. Find k, given that 0 - x*k**3 + 0*k**2 + 2/3*k = 0.
-1, 0, 1
Let i(j) = -11*j**2 - 341*j + 356. Let o be i(-32). What is w in 4/7*w**o + 57/7*w**3 + 10/7*w**2 - 2 - 57/7*w = 0?
-14, -1, -1/4, 1
Suppose -12 = 3*d - 6*d, -4*d + 22 = 3*l. Let s be l - 1 - 4*8/(-16). Factor 56*q**2 - 8 - 28*q + 9 + 12*q**s - 20 - 21.
4*(q - 1)*(q + 5)*(3*q + 2)
Let l(x) be the second derivative of -x + 100*x**3 - 72*x**2 + 9/10*x**5 + 53/3*x**4 - 2. Let l(i) = 0. What is i?
-6, 2/9
Let i(u) be the second derivative of 9/70*u**6 + 17/14*u**4 + 15/14*u**2 - 3/2*u**3 - 1/98*u**7 - 3 - 39/70*u**5 + 7*u. Factor i(c).
-3*(c - 5)*(c - 1)**4/7
Suppose i + 5*u + 29 = 7, 0 = -2*i - u + 1. Factor n**5 + i*n**3 + n**4 - 4*n**3 + 7*n**3 + 3*n**4 + 2*n**2 - n**3.
n**2*(n + 1)**2*(n + 2)
Let n(x) = -15*x**4 + 160*x**3 - 1105*x**2 + 4312*x + 5475. Let u(o) = -7*o**4 + 77*o**3 - 552*o**2 + 2156*o + 2738. Let f(p) = -6*n(p) + 13*u(p). Factor f(c).
-(c - 14)**3*(c + 1)
Let r(f) be the second derivative of 81*f - 3/140*f**5 + 0*f**2 + 0 - 2/7*f**4 + 9/14*f**3. Factor r(s).
-3*s*(s - 1)*(s + 9)/7
Determine z so that -33*z**4 - 4 - 47*z**4 - 42*z**4 - 54*z + 118*z**3 - 64*z + 126*z**2 = 0.
-1, -2/61, 1
Let q be 3*5*(-10)/(-15). Suppose 5*c - 16 = -3*w, 4*w - q = -3*c + 4. Factor -7*l**w + 5*l**3 + 13/4*l - 1/2.
(2*l - 1)**2*(5*l - 2)/4
Let b = 678349 - 678349. Factor -9/4*g**3 - 1/4*g**4 + b - 15/4*g - 23/4*g**2.
-g*(g + 1)*(g + 3)*(g + 5)/4
Let w(l) be the third derivative of 0*l + 14*l**2 + 1/6*l**4 + 8/27*l**3 + 1/270*l**6 + 0 + 2/45*l**5. What is i in w(i) = 0?
-4, -1
Suppose 27*m = 33*m - 12. Let v(j) be the third derivative of 0*j - 1/15*j**5 + 0 + 2/3*j**4 - 2*j**3 - 12*j**m. Factor v(l).
-4*(l - 3)*(l - 1)
Let d = 6/13463 + 13451/26926. Find o such that 0*o**3 - o**4 + 0 + o**2 + d*o - 1/2*o**5 = 0.
-1, 0, 1
Let w = 121 - 180. Let p = w + 64. Determine t, given that -3*t**2 - 2*t**3 - t**5 - 4*t**3 + 7*t**p + 3*t**4 = 0.
-1, -1/2, 0, 1
Let b(x) be the first derivative of 1/5*x**5 + 0*x**2 - 2*x**3 + 84 + 0*x + 1/4*x**4. Factor b(u).
u**2*(u - 2)*(u + 3)
Let x(w) be the third derivative of -5*w**8/84 - 13*w**7/42 + 19*w**6/8 + 91*w**5/12 - 505*w**4/24 - 25*w**3 - 6*w**2 - 3. Solve x(p) = 0.
-5, -2, -1/4, 1, 3
Find k such that -66/5*k**2 + 0 + 208/3*k - 2/15*k**3 = 0.
-104, 0, 5
Let b(k) = -45*k + 2210. Let t be b(49). Let i = -50/7 - -164/21. Solve 0*r**3 + 2*r**4 + 0*r - 8/3*r**2 + 0 - i*r**t = 0 for r.
-1, 0, 2
Factor -1/6*w**2 - 113/3*w + 0.
-w*(w + 226)/6
Factor 55745*b**4 - 27896*b**4 - 80*b**3 - 27887*b**4 + b**5.
b**3*(b - 40)*(b + 2)
Let b be 194/388*(1 + 9). Let x(h) be the third derivative of -1/60*h**6 + 0 - 3/4*h**4 + 0*h**3 + 0*h + 1/5*h**b + h**2. Factor x(u).
-2*u*(u - 3)**2
Let z be (-12)/(-20) + (-28)/(-20). Let r(y) be the first derivative of 27 - 3/2*y**3 + 3*y**z - 2*y + 1/4*y**4. Suppose r(m) = 0. Calculate m.
1/2, 2
Suppose 0 = 2*g - 101 - 91. Suppose -11*d + g = d. Factor 12*s**4 + 2048*s + 4*s**5 + d*s**3 - 2048*s.
4*s**3*(s + 1)*(s + 2)
Find w, given that -88/7 - 256/21*w - 58/21*w**2 + 2/21*w**3 = 0.
-2, 33
Let f = -619935 + 8059179/13. Factor -14/13*m**2 + 0 - f*m.
-2*m*(7*m + 12)/13
Suppose -8*g**3 - 10067*g**4 - 30*g**2 + 10069*g**4 - g + 37*g = 0. What is g?
-3, 0, 1, 6
Let v be -3 - 238/(-14) - 10. Let k(r) be the first derivative of 15 - 9/46*r**v + 2/115*r**5 + 18/23*r**3 + 0*r - 27/23*r**2. Factor k(n).
2*n*(n - 3)**3/23
Let c(g) be the first derivative of g**3/12 - 5*g**2/8 - 117*g/2 + 4674. Factor c(k).
(k - 18)*(k + 13)/4
Let w(h) be the third derivative of -h**6/36 - h**5/5 - 7*h**4/36 + 2*h**3/3 - 1198*h**2. Solve w(z) = 0 for z.
-3, -1, 2/5
Factor -153/2 - 3/4*h**2 - 461/4*h.
-(h + 153)*(3*h + 2)/4
Suppose 3*v = -2*r + 5, -7*r + 7 = 5*v - 3*r. Factor 197 + v*i**2 - i**2 - 195 - 4*i.
2*(i - 1)**2
Let s(y) be the third derivative of 1/300*y**6 + 1/150*y**5 - 22*y**2 - 3 - 1/1050*y**7 - 1/1680*y**8 - 1/30*y**3 - 1/120*y**4 + 0*y. Factor s(x).
-(x - 1)**2*(x + 1)**3/5
Let -25*w**3 + 60*w + 52*w**4 - 51 - 5*w**5 - 31 + 80*w**2 - 82*w**4 + 2 = 0. Calculate w.
-4, -2, 1
Let b be 1 + -11*(6 - 5) + 2. Let z(p) = -p**2 - 11*p - 22. Let g be z(b). Factor -5/2*m**3 + 0 + 1/2*m**4 + 4*m**g - 2*m.
m*(m - 2)**2*(m - 1)/2
Let t(r) be the first derivative of 5*r**4/12 + 65*r**3/2 + 95*r**2 - 70*r - 76. Let x(k) be the first derivative of t(k). Solve x(w) = 0 for w.
-38, -1
Let d = 8 - 4. Let -24*b - 4*b**5 - 2*b**5 + 3*b**d - 26*b**2 + 3*b**5 + 18*b**3 + 14*b**2 = 0. What is b?
-2, -1, 0, 2
Let t(b) be the second derivative of b**5/50 - 41*b**4/15 - 68*b**3/3 - 344*b**2/5 + 1048*b - 2. Find r, given that t(r) = 0.
-2, 86
Let l(a) = -22*a + 750. Let s be l(34). Suppose s*v = -q + 4, -3*q - 6*v = -5*v - 7. Determine h so that 1/3*h**q - 4/3*h + 4/3 = 0.
2
Let y = 743/11 - 2329/55. Factor -2048/5 + y*z**2 + 384*z + 2/5*z**3.
2*(z - 1)*(z + 32)**2/5
Suppose -7 = -t + 3*p - 8*p, 0 = t - 5*p + 3. Let l(f) be the first derivative of 4*f**t - 4*f**2 + 8*f**4 - 1 - 9*f**4. Factor l(d).
-4*d**3
Factor 20/3*v**2 - 2/3*v**3 + 68 + 226/3*v.
-2*(v - 17)*(v + 1)*(v + 6)/3
Let a be -3*89/810 - (-4)/12. Let d(r) be the third derivative of 0 + 20*r**2 + a*r**5 + 1/108*r**4 + 0*r**3 + 0*r. Suppose d(m) = 0. Calculate m.
-1, 0
Suppose -144 = 204*s - 216*s. Let a(f) be the second derivative of 0*f**2 - s*f + 1/5*f**5 + 2/3*f**4 + 0 + 2/3*f**3. Factor a(y).
4*y*(y + 1)**2
Let b(p) be the first derivative of -p**6/12 + 7*p**5/10 - 3*p**4/8 - 31*p**3/6 - 5*p**2 + 5081. Solve b(q) = 0.
-1, 0, 4, 5
Let a(h) be the second derivative of h**5/45 + 26*h**4/27 - 2*h**3/27 - 52*h**2/9 + h - 622. Factor a(m).
4*(m - 1)*(m + 1)*(m + 26)/9
Let l = 109 - 106. Let b(z) = z**2 + 4. Let h be b(-4). Factor 54 - 97*d - d**3 - 8*d**l + 27*d**2 + 33*d**2 - h*d.
-3*(d - 3)**2*(3*d - 2)
Factor -136/5*l**4 + 0*l + 0*l**2 - 156/5*l**3 + 0 + 4*l**5.
4*l**3*(l + 1)*(5*l - 39)/5
Let j(q) be the second derivative of -q**4/12 + 17*q**3/6 + 69*q**2 + 771*q - 2. Solve j(l) = 0.
-6, 23
Let v = -13157200/9 + 1461912. Find o, given that 8/3 - v*o - 2/9*o**2 = 0.
-6, 2
Let q(l) be the first derivative of l**4/4 + 55*l**3 + 163*l**2 + 1267. Find n such that q(n) = 0.
-163, -2, 0
Let z = -310 + 555. Let f be 14/8*70/z. Find d such that 1/4*d + f*d**2 - 1/4*d**3 - 1/2 = 0.
-1, 1, 2
Suppose -33/5*o + 39/5*o**3 + 33/5*o**2 - 6/5*o**5 - 6 - 3/5*o**4 = 0. What is o?
-2, -1, 1, 5/2
Let h(v) be the second derivative of -12*v**6 - 901*v**5/5 - 10*v**4/3 - 8836*v. Factor h(a).
-4*a**2*(a + 10)*(90*a + 1)
Suppose 40*o + 676 - 756 = 0. Let p(k) be the first derivative of -3/2*k**4 + 28 + 2/15*k**5 + 0*k + 16/9*k**3 + 0*k**o. Suppose p(v) = 0. What is v?
0, 1, 8
Let q(o) be the third derivative of -o**5/480 + 5*o**4/96 - o**3/3 - 1660*o**2. Factor q(y).
-(y - 8)*(y - 2)/8
Let o(p) be the second derivative of 1/6*p**5 - 164*p + 0 - 5/9*p**3 - 1/90*p**6 - 2/9*p**4 + 3/2*p**2. Determine u, given that o(u) = 0.
-1, 1, 9
Let k be (97 + -7)*1/6. Factor 10*z**2 - 25/2 + 15*z - k*z**3 + 5/2*z**4.
5*(z - 5)*(z - 1)**2*(z + 1)/2
Let u = 96091 + -96088. Solve -3/2*h**u - h**2 + 0 + 1/2*h**5 + 0*h**4 + 0*h = 0 for h.
-1, 0, 2
Let z be 3726/(-932) - (26 + -30). Let n = z - -2783/6058. Find b, given that 4/13*b**2 - n*b**3 + 0 + 0*b + 2/13*b**4 = 0.
0, 1, 2
Let d(i) be the first derivative of 23*i**3/2 + 24*i**2 + 27*i/2 - 2507. Factor d(z).
3*(z + 1)*(23*z + 9)/2
Let f(v) be the second derivative of 0 + 1/21*v**4 + 2/3*v**3 + 0*v**2 + 122*v. Suppose f(y) = 0. Calculate y.
-7, 0
Let g(p) be the second derivative of -5*p**7/168 - 19*p**6/24 + 45*p**5/16 + 275*p**4/48 - 205*p**3/6 + 105*p**2/2 - 4190*p. Determine v so that g(v) = 0.
-21, -2, 1, 2
Suppose -5*a = -4*q - 1691 + 1708, -2*q + a = -7. Factor -25/2 + 14*h**q + 27*h**2 + 3/2*h**4 - 30*h.
(h - 1)*(h + 5)**2*(3*h + 1)/2
Suppose -t = 4*k + 20, -5*k = t + t + 28. Let p 