1*u**2 - 2/11*u**4 - 6/11*u**3 = 0.
-4, -2, 1, 2
Suppose 3*q + 15 = 4*o - 7*o, 5*o - 5*q = -35. Let h(s) = 3*s**2 + 18*s + 3. Let t(y) = -7*y**2 - 38*y - 5. Let i(b) = o*t(b) - 13*h(b). Factor i(c).
3*(c - 3)*(c + 1)
Suppose -o = 5*j - 5*o - 5, -2*j + o = -5. Suppose 4*g + 30 = p, 3*g = p - j - 22. Factor 22 - 3*u**3 - 7 + p*u - 23 - 7*u**2.
-(u - 1)*(u + 4)*(3*u - 2)
Let x = 83/442 + 2955/3094. Let -x*w**3 + 50/7*w**2 - 76/7*w + 16/7 = 0. What is w?
1/4, 2, 4
Let n(m) = 2*m**2 - 6*m - 78. Let j be n(8). Let -4*z + 4*z**j - 6*z**2 - 18*z + 99 - 2*z - z**2 = 0. What is z?
-11, 3
Let j(h) = -h**2 + 41*h + 44. Let d = -446 - -488. Let x be j(d). Factor -2/9 + 5/9*i + 1/9*i**3 - 4/9*i**x.
(i - 2)*(i - 1)**2/9
Let i(q) be the third derivative of 0*q**3 + 0 + 197*q**2 - 1/210*q**7 + 0*q + 0*q**4 - 1/180*q**5 - 1/120*q**6 - 1/1008*q**8. What is r in i(r) = 0?
-1, 0
Let j(r) be the second derivative of -5*r - 1960*r**2 + 0 - 5/12*r**4 - 140/3*r**3. Factor j(h).
-5*(h + 28)**2
Suppose -27*o + 63 = -45. Suppose 0 = 2*m + 10, 5*m = y - 33 + o. Let -24010/3*z + 33614/3 + 6860/3*z**2 - 980/3*z**3 + 70/3*z**y - 2/3*z**5 = 0. What is z?
7
Let l(g) be the third derivative of g**7/270 + 19*g**6/810 - g**5/45 - 65*g**3/6 - 42*g**2. Let t(r) be the first derivative of l(r). Factor t(a).
4*a*(a + 3)*(7*a - 2)/9
Suppose 9955*g - 10338*g = -1532. Factor 75/8*h - 3 + 33/8*h**3 - 3/8*h**g - 81/8*h**2.
-3*(h - 8)*(h - 1)**3/8
Suppose 5*g + 3*g + 53 = 11*s + 7*g, 9 = -g. Determine m so that 2/13*m**5 - 10/13*m**3 - 16/13 + 20/13*m**2 - 4/13*m**s + 8/13*m = 0.
-2, -1, 1, 2
Let f = -87 - -88. Let z(i) = i**2 + 7*i - 6. Let x be z(-8). Determine s so that -3/2*s**x + f + 1/2*s = 0.
-2/3, 1
Let b(q) = -4*q**3 - 492*q**2 - 1089*q - 296. Let s(f) = 5*f**3 + 492*f**2 + 1090*f + 288. Let p(y) = -2*b(y) - 3*s(y). Factor p(u).
-(u + 2)*(u + 68)*(7*u + 2)
Let x = 149/1449 - -4/483. Let v(z) be the second derivative of 0 - x*z**4 - 1/3*z**3 - 4*z + 1/30*z**5 + 0*z**2. Suppose v(j) = 0. Calculate j.
-1, 0, 3
Suppose 429*h - 409*h - 80 = 0. Let a(j) be the third derivative of 0*j - 1/80*j**h - 1/300*j**5 + 0 + 8*j**2 - 1/60*j**3. Suppose a(q) = 0. What is q?
-1, -1/2
Let s(y) = 26*y**2 - 6200*y + 4169. Let k(u) = 3*u**2 - 775*u + 521. Let d(t) = -50*k(t) + 6*s(t). Find g, given that d(g) = 0.
-259, 2/3
Let b = -4145 - -4148. Let z(k) be the first derivative of -1/10*k**5 + 1/3*k - 11/24*k**4 + 8 - 11/18*k**b - 1/12*k**2. Determine n, given that z(n) = 0.
-2, -1, 1/3
Suppose 3*u = -4*w + 26, 340*w - 341*w - 3*u + 11 = 0. Let o(p) be the first derivative of 0*p - 1/6*p**4 - p**2 - 10/9*p**3 - 23 + 2/15*p**w. Factor o(l).
2*l*(l - 3)*(l + 1)**2/3
Let q be (8/(-198))/(18/(-81)). Let a(u) be the first derivative of -1/22*u**4 + 1 + 2/33*u**3 + q*u**2 + 0*u. Determine s, given that a(s) = 0.
-1, 0, 2
Let v = -217760 - -217762. Let -2/5*w**v + 2/5*w**3 + 8/5 - 8/5*w = 0. What is w?
-2, 1, 2
Let n(i) be the second derivative of 7*i**6/90 - 37*i**5/60 - 107*i**4/18 - 94*i**3/9 + 12*i**2 + 2630*i. Factor n(s).
(s - 9)*(s + 2)**2*(7*s - 2)/3
Let f = 358936 - 3230423/9. Determine s so that f*s**3 + 32/3 + 100/9*s + 28/9*s**2 = 0.
-24, -2
Let j(h) be the second derivative of h**5/25 + 13*h**4/15 + 104*h**3/15 + 24*h**2 + 14*h + 23. Let j(o) = 0. What is o?
-6, -5, -2
Determine x so that -6 + 88/5*x - 84/5*x**2 + 24/5*x**3 + 2/5*x**4 = 0.
-15, 1
Factor -112/11*w - 2/11*w**2 + 744/11.
-2*(w - 6)*(w + 62)/11
Suppose 5*r - 1659 = 3*w + 5506, -5*r = 2*w - 7140. Find t such that -r*t - 1 - 55*t**2 + 1420*t + 1 = 0.
-2/11, 0
Let n(l) be the second derivative of l**6/6 + 71*l**5/2 + 25205*l**4/12 + 327*l - 1. Suppose n(u) = 0. What is u?
-71, 0
Let j(k) = -4*k**2 - 200701*k - 479615763. Let r(a) = 3*a**2 + 143358*a + 342582687. Let w(m) = 12*j(m) + 17*r(m). Factor w(q).
3*(q + 4779)**2
Let s(n) = -1975*n - 9873. Let x be s(-5). Factor -18/7*k - 1/7*k**x - 81/7.
-(k + 9)**2/7
Let p be -15*(-9)/81*(31/(-15) - -3). Let -46/9*u**3 + p*u + 32/9*u**5 - 2/9 - 14/9*u**2 + 16/9*u**4 = 0. What is u?
-1, 1/4, 1
Let n be 3/2*1540/33. Factor n*r + 94 + 17 - 36 - 5*r**2.
-5*(r - 15)*(r + 1)
Let c(v) be the second derivative of -18 + 0*v**2 + 1/60*v**4 - v - 1/30*v**3. Factor c(f).
f*(f - 1)/5
Let c(z) be the first derivative of z**4/5 + 476*z**3/15 + 236*z**2/5 - 846. Factor c(w).
4*w*(w + 1)*(w + 118)/5
Let b = 962043/28 + -34367. Let l = b - -60/7. Find j such that 1/2*j**3 - 1/4*j**5 + l + 1/4*j**4 - 1/4*j - 1/2*j**2 = 0.
-1, 1
Let q = -281 - -286. Let a(x) be the third derivative of 0 - 5/12*x**4 + 1/6*x**3 - 27/160*x**6 + 0*x + 39/80*x**q + 15*x**2. Factor a(g).
-(g - 1)*(9*g - 2)**2/4
Let x be 60/6 + 2*25/(-10). Let v(m) be the first derivative of 4/15*m**x - 5/3*m**2 + 8/3*m - 1/3*m**6 - 21 - 4/3*m**3 + 4/3*m**4. Solve v(h) = 0 for h.
-4/3, -1, 1
Let n(q) be the first derivative of -2*q**5/45 - 205*q**4/18 + 46*q**3 - 623*q**2/9 + 416*q/9 + 4343. Factor n(f).
-2*(f - 1)**3*(f + 208)/9
Let j(z) be the third derivative of -2*z**2 + 0*z**4 + 1/80*z**5 + 4*z + 0*z**3 + 0. Find g such that j(g) = 0.
0
Let m be ((-44)/(-462))/((6/34137)/(-1)). Let o = 543 + m. Find d, given that 4/7*d + 0 + o*d**3 - 10/7*d**2 - 2/7*d**4 = 0.
0, 1, 2
Let o(p) be the third derivative of -2*p**7/105 - 13*p**6/30 + 16*p**5/15 + 14*p**4/3 + 710*p**2. Solve o(i) = 0 for i.
-14, -1, 0, 2
Let j(l) be the second derivative of -l**5/20 + 153*l**4/4 - 23409*l**3/2 + 3581577*l**2/2 + 2*l + 106. Factor j(u).
-(u - 153)**3
Factor -11*z**3 + 111*z**3 - 569*z - 1236*z + 1615*z**2 + 5*z**4 - 22*z**3 + 107*z**3.
5*z*(z - 1)*(z + 19)**2
Suppose 4*q = 3*q + 40. Suppose q = -x + 9*x. Factor r**3 - 4*r**5 + 8*r**3 - 21*r**3 - 12*r**4 + r**x.
-3*r**3*(r + 2)**2
Let s(u) be the first derivative of -u**7/504 + 7*u**6/1080 + u**5/360 - u**4/24 + u**3 + u + 58. Let h(q) be the third derivative of s(q). Factor h(j).
-(j - 1)**2*(5*j + 3)/3
Let v be (-308)/(-70) - (4/(-10))/(-1). Suppose 0*t - v*t = -0*t. Factor 0*n**2 - 2/3*n**4 + 0 + t*n - 2/3*n**3.
-2*n**3*(n + 1)/3
Let r(c) be the first derivative of -c**4/8 - 7*c**3/3 + 209*c**2 + 7260*c - 1246. Let r(h) = 0. What is h?
-22, 30
Let i be (3 - 5) + (-3 - -6). Find g such that 396*g + i + 5 - 2*g**2 - 408*g + 8 = 0.
-7, 1
Let g(b) = -10*b**2 + 7270*b - 1317670. Let s(a) = 5*a**2 - 3634*a + 658837. Let w(n) = 2*g(n) + 5*s(n). Find x such that w(x) = 0.
363
Let n(o) be the second derivative of 3/14*o**2 + 5/14*o**3 - 13*o + 1/7*o**4 - 5. Solve n(v) = 0 for v.
-1, -1/4
Determine r, given that 22/7*r**4 + 0 - 2/7*r**5 - 78/7*r**3 + 14*r**2 - 40/7*r = 0.
0, 1, 4, 5
Let n(c) be the third derivative of 7*c**5/90 + 2*c**4/9 - 13*c**3/3 - 513*c**2. Factor n(m).
2*(m + 3)*(7*m - 13)/3
Let n(m) be the first derivative of -m**8/3360 + m**7/420 - m**6/240 + 15*m**3 - m**2 + 59. Let h(x) be the third derivative of n(x). Solve h(b) = 0 for b.
0, 1, 3
Let x(p) = -2*p**3 - 7*p - 1. Let u(a) = -7*a**3 - 30*a**2 - 62*a + 114. Let v(h) = -u(h) + 6*x(h). Suppose v(j) = 0. Calculate j.
-2, 2, 6
Let o(f) be the second derivative of -190*f**3 + 0 - 42*f - 164*f**2 + 7/3*f**4. Factor o(t).
4*(t - 41)*(7*t + 2)
Let j(b) = -b**3 - 9*b**2 + 601*b + 2486. Let q be j(-4). Determine y, given that 0 + 2/13*y**3 + 0*y + 6/13*y**q = 0.
-3, 0
Let s be (-7)/7 - -4*5. Suppose -5*u - s = -j, -j + 3*u + 11 = -2. Factor 0*v**4 + 125*v**5 - 126*v**5 - v**j + 0*v**3 + 2*v**3.
-v**3*(v - 1)*(v + 2)
Let f(l) = 88*l**2 - 4567*l - 466. Let i be f(52). Find v such that 0 + 2/11*v**i + 4/11*v = 0.
-2, 0
Suppose -9*n = -63 - 72. Determine h so that 115*h - 13*h**4 - 45*h**2 - 98 - 8*h**4 + 26*h**4 - n*h**3 + 38 = 0.
-3, 1, 4
Let x(k) = 7*k**3 + 833*k**2 - 840*k - 39. Let a(g) = 29*g**3 + 3331*g**2 - 3360*g - 169. Let b(d) = -3*a(d) + 13*x(d). Suppose b(y) = 0. Calculate y.
-210, 0, 1
Let t(w) = w**3 - 4*w**2 - 3*w - 20. Let o be t(6). Factor 60*l**2 - 61*l - 10 - l**3 + 46*l - o*l**3.
-5*(l - 1)**2*(7*l + 2)
Factor -155*t - 24025/2 - 1/2*t**2.
-(t + 155)**2/2
Determine h, given that -651*h + h**3 - 298 - 4*h**3 - 78*h**2 + 0*h**3 - 1206 - 260 = 0.
-12, -7
Let g be 5 + 3 + -2 + (7 - 8). Determine c so that 6*c**2 - g + 39*c - 40*c + c**3 - 1 = 0.
-6, -1, 1
Let v(u) be the first derivative of -47 + 0*u - 1/12*u**4 - 1/6*u**2 + 2/9*u**3. Find w such that 