22/10 - 1)/((-75)/(-6500)). Factor -2688*m**3 - 48*m - 2*m**4 - 8*m**2 + f*m**3 + 36 + 6*m**4.
4*(m - 1)**2*(m + 3)**2
Let b be (-4)/3*66/(-44). Suppose 5 = -b*d + 23. Factor 8 + 33*r**3 - 44*r + 6*r**3 - d*r**3 + 14*r**3 - 8*r**2.
4*(r - 1)*(r + 1)*(11*r - 2)
Let f(k) = 8*k**2 - 14. Let d be f(6). Let p = d + -271. Let 0 - 4/3*t**4 + 4/3*t**2 - 4/3*t + 4/3*t**p = 0. Calculate t.
-1, 0, 1
Let l = -4289/3 + 1431. Let v be 7 + 1*187/(-33). Suppose -1/3*k**4 - k**2 - l*k**3 + v + 4/3*k = 0. What is k?
-2, -1, 1
Let t(f) be the first derivative of 3*f**5/40 + 3*f**4 - 51*f**3/4 + 39*f**2/2 - 105*f/8 + 6001. Factor t(u).
3*(u - 1)**3*(u + 35)/8
Let g(p) be the third derivative of 2*p**5/15 + p**4/2 - 14*p**3/3 + 394*p**2. Let b be g(3). Let 36/5 + b*r**2 + 48*r = 0. Calculate r.
-3/10
Let i = -729 - -725. Let p(l) = -12*l**3 + 152*l**2 - 1440*l. Let b(t) = 10*t**3 - 152*t**2 + 1441*t. Let j(z) = i*b(z) - 3*p(z). Factor j(o).
-4*o*(o - 19)**2
Suppose 47 = 4*h + 5*a, 2*h - 3*a = -0*h + 51. Determine z, given that -81*z**3 - 19*z**2 + 161*z**3 - 81*z**3 - h*z = 0.
-18, -1, 0
Let l(c) = -4*c + 26. Let d be l(7). Let p be (-37)/(-1) - 5*d/(-10). Factor -4*z**4 - 36*z**2 - 8*z - 7 + p*z - 1 + 20*z**3.
-4*(z - 2)*(z - 1)**3
Solve 4842411*d + 6*d**3 - 2*d**3 + 212130*d - 9180900 + 4114239*d + 12116*d**2 = 0 for d.
-1515, 1
Factor -1674/7*c + 2502/7 - 830/7*c**2 + 2/7*c**3.
2*(c - 417)*(c - 1)*(c + 3)/7
Let m(o) = -25*o**3 + 3470*o**2 - 2225*o - 1180. Let p(d) = -d**3 - 2*d**2 + 9*d - 2. Let j(w) = m(w) - 10*p(w). Let j(v) = 0. Calculate v.
-1/3, 1, 232
Let p(h) be the third derivative of h**5/30 + 1013*h**4/6 + 1026169*h**3/3 + 2*h**2 + 32*h. Factor p(b).
2*(b + 1013)**2
Suppose 3539*q - 2 = 3442*q - 2. Factor -2/15*h**5 + q + 0*h + 2/15*h**3 + 2/15*h**4 - 2/15*h**2.
-2*h**2*(h - 1)**2*(h + 1)/15
Suppose 7*a - 16*a + 405 = 0. Let y be (11/(-55))/((-12)/a). Suppose -y*k**2 - 3 + 3*k = 0. What is k?
2
Determine u so that 19*u**3 + 1622*u**2 - 302*u**3 + 2909*u + 4*u**4 - 4*u**4 + u**5 - 449*u - 3800 = 0.
-19, -2, 1, 10
Let v be (0/2 - 4)*(-6)/8. Suppose u = 3*k + 13, 0 = -0*u + 2*u - v*k - 14. Factor -18*g**3 + 0*g**2 + u + 4*g - 8*g**2 + 14*g**3 + 7.
-4*(g - 1)*(g + 1)*(g + 2)
Suppose z + 11 = 4*w, -83*z + 13 = -78*z - 3*w. Let g = -28 + 30. Let 0 + 1/2*v**3 + 0*v - 1/3*v**g - 1/6*v**z + 0*v**4 = 0. What is v?
-2, 0, 1
Let h = 6482 + -4147. Find u, given that -2335 + 3*u + h + 5*u - 2*u**2 = 0.
0, 4
Let d = 4498 + -4496. Let v(k) be the second derivative of -1/6*k**6 + 10/3*k**3 + 0 - k**5 - 5/4*k**4 - 21*k + 10*k**d. Let v(y) = 0. What is y?
-2, -1, 1
Let c(u) be the first derivative of 3*u**5/7 + 9*u**4/2 + 16*u**3/7 - 550. Find r such that c(r) = 0.
-8, -2/5, 0
Let j = -210 + 298. Let q = 97 - j. Let -q*y**2 - 5*y + 279*y**3 + 10 + 5*y**4 - 6*y**2 - 274*y**3 = 0. Calculate y.
-2, -1, 1
Let r(v) be the third derivative of 0 + 5/21*v**4 + 3/35*v**5 - 120*v**2 + 0*v + 1/735*v**7 + 8/21*v**3 + 1/60*v**6. Solve r(q) = 0.
-2, -1
Let h be 6/(-8)*(-119)/119. Factor -h*d**2 + 57/2*d - 1083/4.
-3*(d - 19)**2/4
Suppose -1 = -198*r - 1297*r - 1. Find w such that -3/7*w**2 - 129/7*w + r = 0.
-43, 0
Let m be 25 + (-2 - (9 - -14)). Suppose 22/3*h**4 - 32/3*h**2 - 2*h**3 + 8/3*h**5 + 8/3*h + m = 0. What is h?
-2, 0, 1/4, 1
Let w(n) be the third derivative of -n**8/84 + 496*n**7/105 - 3444*n**6/5 + 591712*n**5/15 - 551368*n**4/3 - 256*n**2. Factor w(y).
-4*y*(y - 82)**3*(y - 2)
Let f = 473 + -463. Solve 12*b**2 - 10*b**3 + 4*b**3 - 4*b**4 + f*b**3 + 8 - 20*b = 0.
-2, 1
Let g be -8 - (264/(-33) - ((-160)/10)/(-8)). Factor -6/7*n + 0 - 117/7*n**g.
-3*n*(39*n + 2)/7
Let z = -71 - -76. Suppose -3*l + 5*l = z*t - 2554, 5*t - 2569 = -3*l. Factor g**2 + 7*g**2 + 508*g**3 - t*g**3 - 4*g.
-4*g*(g - 1)**2
Let b = 82 + -22. Let q = b - 53. Factor o**3 - 10*o**3 + q*o**4 - 12*o**4 - 15*o**2 - 6*o + 8*o**4 + 3*o**5.
3*o*(o - 2)*(o + 1)**3
Let x(k) = -4*k. Let h be x(0). Suppose -2*f = 3*y - 45, h = 3*f + 5*y - 18 - 48. Determine l, given that -f*l + 3*l**4 + 27*l = 0.
0
Let b(k) be the first derivative of -3/7*k**2 - 1 - 2/21*k**3 + 20/7*k. Factor b(z).
-2*(z - 2)*(z + 5)/7
Let f = 4627/38 - 23021/190. Factor 3/5*d**3 + 0*d - 3/5*d**4 + 0 - 3/5*d**5 + f*d**2.
-3*d**2*(d - 1)*(d + 1)**2/5
Let b(g) be the second derivative of g**6/1260 - 2*g**5/105 + g**3/2 + 12*g**2 + 119*g. Let m(f) be the second derivative of b(f). Factor m(x).
2*x*(x - 8)/7
Let n be 12/((72/116)/6). Factor 85 + 13*s**3 + 4*s**3 - 168*s**2 - n*s + 3*s**3 + 12 - 25.
4*(s - 9)*(s + 1)*(5*s - 2)
Let f(u) = 2*u - 9. Let q be f(-6). Let z = -18 - q. Factor 9*h - 7*h - z*h + 9*h**3 + 3*h**2 - 5*h.
3*h*(h + 1)*(3*h - 2)
Factor -8 + 8/3*w**3 + 1/3*w**4 - 43/3*w**2 + 58/3*w.
(w - 2)*(w - 1)**2*(w + 12)/3
Let f = -1878 - -1898. Let i(k) be the second derivative of f*k + 0*k**3 + 0*k**2 + 1/90*k**5 - 2/27*k**4 + 0. Factor i(g).
2*g**2*(g - 4)/9
Let k(c) be the first derivative of c**3/5 + 9*c**2/2 + 132*c/5 - 1152. Solve k(v) = 0 for v.
-11, -4
Find m such that -452 + 142*m**2 - 429*m**2 + 454*m + 285*m**2 = 0.
1, 226
Let z = -151/5 - -1691/55. Let o be 1 - 0 - (16/(-200) - 48/25). Factor 1/11*c**o - z*c**2 - 8/11 + 12/11*c.
(c - 2)**3/11
Solve -476*u**2 + 279*u + 164*u**2 + 555 + 162*u**2 + 153*u**2 + 513 = 0.
-89, -4
Let l be (-1672)/(-456)*(258/(-44) + 6). Let 1/2*t**3 + 0 + 0*t - l*t**2 = 0. Calculate t.
0, 1
Let 226*a**2 - 82*a**3 - 6270*a + 80*a**3 - 366 - 6132 = 0. Calculate a.
-1, 57
Let u(i) be the second derivative of 11*i**5/8 - 985*i**4/48 + 645*i**3/8 + 45*i**2/4 + 2080*i. Factor u(b).
5*(b - 6)*(b - 3)*(22*b + 1)/4
Let d(m) = -4*m - 5. Let o be d(-2). Suppose 3*s = 4*r + 7, 2*r + 2 = -s + 11. Factor -7*l**2 - 25*l + 30 + 12*l**2 - o*l**r - 7*l**2.
-5*(l - 1)*(l + 6)
Let b(p) = 11*p**2 - 82*p. Let i(a) = -16*a**2 + 116*a. Let l(s) = -7*b(s) - 5*i(s). Factor l(x).
3*x*(x - 2)
Suppose 3*g - h + 175 - 182 = 0, -3*h = g + 1. Let z(s) be the second derivative of 2*s**2 + g*s**3 + 0 + s**4 + 1/5*s**5 - 23*s. Factor z(m).
4*(m + 1)**3
Suppose -1100*p + 518*p = -514*p - 136. Let z be 2*1 + (-16)/10. Solve -4/5*y + z*y**p + 0 = 0.
0, 2
Let m = -125179/5 - -25036. Determine h, given that 0 + 4/5*h + m*h**3 - h**2 = 0.
0, 1, 4
Suppose -5*l = 3*d + 4, 3*d = 3*l + 11 + 1. Let k be d - (-1292 - 3 - -1). What is w in 111*w**2 - 68*w**2 + 5*w**3 + k*w + 65*w**2 - 2*w**3 + 5184 = 0?
-12
Let n be -7 - (20/(-3))/((-1520)/60 - -26). Factor -w + 1/4*w**n + 0 + 0*w**2.
w*(w - 2)*(w + 2)/4
Suppose 0 = 3*o - 4*o - 4*t + 23, -4*o + 62 = t. Let d be o/(-18) + 8*9/72. Factor 7/6*y - 1/2 + d*y**3 - 5/6*y**2.
(y - 3)*(y - 1)**2/6
Suppose -4*p = 127*i - 122*i - 61, -100 = 2*p - 12*i. Suppose -3013/8*w**2 - 9/2 - 159/2*w - 901/4*w**3 - 289/8*w**p = 0. What is w?
-3, -2/17
Let o(l) be the third derivative of -11*l**7/315 + 7*l**6/135 + l**5/54 + 3306*l**2. Factor o(y).
-2*y**2*(y - 1)*(33*y + 5)/9
Let n(b) be the third derivative of -1 + 0*b + 18*b**2 + 4*b**4 - 50/3*b**3 + 1/15*b**5. Let n(t) = 0. What is t?
-25, 1
Let h(m) be the first derivative of -5*m**3/3 + 455*m**2 - 41405*m + 157. Factor h(w).
-5*(w - 91)**2
Factor 6/7*i**3 - 208/7 + 164/7*i**2 + 200/7*i.
2*(i + 2)*(i + 26)*(3*i - 2)/7
Let j = 13020 - 13019. Factor 3*q**4 + 7*q**3 + 9/2*q + j + 8*q**2 + 1/2*q**5.
(q + 1)**4*(q + 2)/2
Let g(w) be the first derivative of -w**6/75 + w**5/25 - w**4/30 - 2*w + 34. Let o(z) be the first derivative of g(z). Factor o(a).
-2*a**2*(a - 1)**2/5
Let o(u) be the second derivative of u**5/40 + 21*u**4/8 - 343*u**3/4 + 3773*u**2/4 + 439*u. Let o(x) = 0. Calculate x.
-77, 7
Suppose -16 = 148*h - 152*h. Let u(z) be the first derivative of -16*z - 12*z**2 - 4/3*z**3 + 3/2*z**h - 7 + 2/5*z**5. Factor u(t).
2*(t - 2)*(t + 1)*(t + 2)**2
Let l be (12 - 6/3) + -6 + 2. Let y be (9/12)/(18/l). What is g in 2*g - 5/4*g**2 - 1 + y*g**3 = 0?
1, 2
Let y(i) = 7 - 7*i + 10*i + 8*i + 37*i**2 + 0. Let h(b) = -18*b**2 - 6*b - 3. Let w(k) = -7*h(k) - 3*y(k). Factor w(q).
3*q*(5*q + 3)
Suppose -3 - 17 = -10*n. Factor 43*l**2 - 3*l**3 + 39*l**n - 127*l**2 + 42*l**2.
-3*l**2*(l + 1)
Factor 474*m - 924*m + 760*m**2 + 530*m + 32*m**4 - 395*m**3 + 18*m**4.
5*m*(m - 4)**2*(10*m + 1)
Let x(m) = -2*m**2 - 1. Let w(r) = 0*r**2 + 2*r**2 + 13*r - 3 + 41*r - 5*r**2. Let p(j) = -w