 What is r in -6*r**3 + 4/3 - 8/9*r**4 + 4/9*r**2 + c*r**5 + 38/9*r = 0?
-2, -1/2, 1, 3
Let o(u) = 43*u**2 + 1507*u - 5883. Let t(i) = -25*i**2 - 754*i + 2940. Let v(g) = 4*o(g) + 7*t(g). Factor v(m).
-3*(m - 246)*(m - 4)
Let y be (-1 + 6)*12/30. Let d = -397137/2 - -198570. Determine s, given that d - 1/2*s**y - s = 0.
-3, 1
Let z = -1218903 - -1218905. Determine p so that 9/5*p**z + 3/5*p**4 - 3/5*p - 9/5*p**3 + 0 = 0.
0, 1
Let c = -153 - -184. Factor -5*x + x - 5*x - 12 + 6*x**3 + c*x + 40*x**2.
2*(x + 1)*(x + 6)*(3*x - 1)
Let n(u) be the first derivative of -19/7*u**3 - 33/28*u**4 - 6/7*u**2 + 0*u + 24 + 12/35*u**5. Find g, given that n(g) = 0.
-1, -1/4, 0, 4
Suppose 3*i = x - 37, -5*x + 9 = -5*i + 6*i. Let p be (i + 4)*((-2)/7 - 0). Factor 79 - 111*t + 139*t + 2*t**p + 19.
2*(t + 7)**2
Let s(n) = 2*n**3 + 6*n**2 + n + 1. Let b(d) = 35*d**4 - 255*d**2 - 180*d - 40. Let k(i) = -b(i) - 20*s(i). Solve k(h) = 0.
-2, -1, -1/7, 2
Let -82/7*b**4 - 2852/7*b - 86*b**3 + 5090/7*b**2 - 8464/7 - 2/7*b**5 = 0. Calculate b.
-23, -1, 2, 4
Suppose 0 = -4*i + 6*i - 4. Factor b**4 - b**i - 4*b**3 + 5*b**3 + 41*b - 42*b.
b*(b - 1)*(b + 1)**2
Let o(u) be the first derivative of u**4/26 + 14*u**3/39 - 40*u**2/13 + 88*u/13 + 1827. Solve o(w) = 0 for w.
-11, 2
Factor -278/5*j + 22/5*j**2 - 104/5.
2*(j - 13)*(11*j + 4)/5
Let p be (-402)/(-469) - -6*2/(-14). Let k(a) be the second derivative of p - 9*a**2 - 1/24*a**4 + 19*a + a**3. Factor k(r).
-(r - 6)**2/2
Let r be 2 + ((-2)/(-8))/(29/116). What is g in -27/2*g + 3/2*g**5 + 0 - 9*g**4 + 9*g**2 + 12*g**r = 0?
-1, 0, 1, 3
Let i(m) be the second derivative of m**5/60 - 73*m**4/36 - 113*m**3/9 - 76*m**2/3 - 5*m - 179. Find c, given that i(c) = 0.
-2, -1, 76
Suppose -9*d - 4 = -13*d. Let u be d/(6 + -3 + (-8)/3). Factor -4*g + 3*g**2 + 0*g**2 + 0*g**2 + u*g**2 - 2*g**3.
-2*g*(g - 2)*(g - 1)
Suppose 29*i - 149 = -4. Suppose -4*t = 4*h - 24, -4*t - i*h + 25 = -4. Find z, given that -5/3*z**2 - t - 8/3*z = 0.
-1, -3/5
Let x(y) be the first derivative of y**3/30 - 5*y**2/4 + 12*y/5 - 584. Factor x(a).
(a - 24)*(a - 1)/10
Let x = -25 - -29. Let s be (22/8)/(1/x). Suppose 4*b + s*b**2 + 8*b**2 + 12*b**3 + 5*b**2 - 36*b**4 - 4*b**2 = 0. What is b?
-1/3, 0, 1
Let m be (6279/575 - 11)*-25. Determine c so that -2*c**m - 1/8*c**3 + 0 - 8*c = 0.
-8, 0
Let u(l) be the third derivative of -l**7/1260 - l**6/18 - 5*l**5/3 - 41*l**4/8 - l**3/3 + 35*l**2. Let t(w) be the second derivative of u(w). Factor t(f).
-2*(f + 10)**2
Factor 4993/3*z + 5/3*z**2 - 666.
(z + 999)*(5*z - 2)/3
Let g be ((-165)/7)/(-11) - (7 + -1)/42. Suppose 21/2*t**g + 3 + 45/2*t = 0. What is t?
-2, -1/7
Let i(n) be the first derivative of 3/2*n - 7/12*n**3 - 42 - 1/8*n**2. Determine x so that i(x) = 0.
-1, 6/7
Suppose -14*m = 2*m - 6*m. Suppose m = -5*t + 18 + 2. Factor d**3 - 5/2*d**5 + 3/2*d**t + 0*d + 0*d**2 + 0.
-d**3*(d - 1)*(5*d + 2)/2
Let u(c) be the first derivative of -4/3*c**3 - 2*c**4 + 4*c**2 - 79 + 0*c + 4/5*c**5. Factor u(j).
4*j*(j - 2)*(j - 1)*(j + 1)
Solve 2089*k**4 - 2085*k**4 - 15*k**3 - 10*k**3 - 23*k**3 + 48*k**2 - 4*k**3 = 0.
0, 1, 12
Let v(p) = -30*p**3 + 60*p**2 + 126*p - 6. Let b(q) = 7*q**3 - 15*q**2 - 31*q + 1. Let h(f) = 21*b(f) + 5*v(f). Factor h(l).
-3*(l + 1)**2*(l + 3)
Let c be (((-8415)/792)/(-85))/(2/24). Suppose 0 = 5*q - q. Factor 0 + 3/2*g**3 + 3*g**2 + q*g - c*g**4.
-3*g**2*(g - 2)*(g + 1)/2
Let j be (-23518)/(-110) - (13 + -4 - 16). Determine f so that 1394/5*f**2 + 288/5 - j*f - 578/5*f**3 = 0.
12/17, 1
Let u(c) be the second derivative of c**5/70 - 115*c**4/42 - 198*c**3/7 - 720*c**2/7 - c + 266. Factor u(g).
2*(g - 120)*(g + 2)*(g + 3)/7
Let g(j) = 5*j**3 + 8*j**2 + 9*j + 2. Let n = 23 + 104. Let f(o) = 128*o**3 - n*o**3 + 5*o - 4*o + o**2. Let k(i) = -4*f(i) + g(i). Factor k(l).
(l + 1)**2*(l + 2)
Suppose -2*k = -4, -3 = 5*g - 2*k - 9. Suppose 7 = j - g*c, 4 = 2*j - 3*c + 4*c. Determine b so that 1/7*b**j - 8/7*b**2 + 3*b - 18/7 = 0.
2, 3
Let v(a) be the first derivative of -a**6/21 + 2*a**5/7 - 40*a**3/21 + 16*a**2/7 + 188. Let v(g) = 0. What is g?
-2, 0, 1, 2, 4
Let g = -60288 - -422064/7. Find i such that -8/7 + 8*i**4 - 88/7*i**3 + 4/7*i - 12/7*i**5 + g*i**2 = 0.
-1/3, 1, 2
Let y be (-132)/(-27) - (38/(-18) + 2). Factor -5 - 170*k**3 - 152*k**3 + 6*k**5 - 5*k**4 - k**y + 10*k**2 + 5*k + 312*k**3.
5*(k - 1)**3*(k + 1)**2
Let c be (-676)/(-78)*6/13. Factor 5/4*r**3 - 1/4*r**c + 3/4*r + 0 - 7/4*r**2.
-r*(r - 3)*(r - 1)**2/4
Let q(b) = -2*b**3 + 52*b**2 - 146*b + 124. Let a(u) = 5*u**3 - 106*u**2 + 292*u - 254. Let p(s) = 4*a(s) + 9*q(s). Factor p(k).
2*(k - 2)*(k - 1)*(k + 25)
Let z(g) be the first derivative of -g**6/60 + 3*g**5/40 + 54*g + 137. Let k(j) be the first derivative of z(j). Factor k(q).
-q**3*(q - 3)/2
Suppose 5*i + 2 = 12. Let g be (-10)/(-4)*(-1 + i + 3). Factor 15*c**3 - 5*c**2 - 56*c - 36*c + g + 77*c - 5*c**4.
-5*(c - 2)*(c - 1)**2*(c + 1)
Let j(f) be the first derivative of 48 - 1/25*f**5 + 1/10*f**4 + 0*f - 3/5*f**2 + 1/3*f**3. Let j(w) = 0. Calculate w.
-2, 0, 1, 3
Let k be 14/(2*140/80). Let x(t) be the first derivative of 1/32*t**k - 3/16*t**2 + 0*t - 22 - 1/12*t**3. Factor x(o).
o*(o - 3)*(o + 1)/8
Let t(f) = -438*f**2 - 1692*f - 1581. Let a(g) = 1313*g**2 + 5070*g + 4744. Let l(o) = -6*a(o) - 17*t(o). Find q such that l(q) = 0.
-23/12
Let x(s) be the first derivative of -s**4/24 + s**3/12 + s**2/2 - 104*s + 69. Let y(u) be the first derivative of x(u). Factor y(g).
-(g - 2)*(g + 1)/2
Suppose -5*s + a = 30, -3*a - a = -4*s - 8. Let p(x) = 2*x**2 + 14*x + 31. Let g(h) = -h**2 - 7*h - 15. Let f(b) = s*g(b) - 3*p(b). Factor f(n).
(n + 3)*(n + 4)
Let z = 16202/339 - 5250/113. Factor 2*f + 2/3*f**2 + z.
2*(f + 1)*(f + 2)/3
Let l(z) = z**2 + 125*z - 920. Let v be l(7). Let h(i) be the second derivative of 13/4*i**3 - 3*i + 5/8*i**v + 0 - 9/2*i**2. Find j, given that h(j) = 0.
-3, 2/5
Let c = -6 - -10. Find s, given that 4*s**c - 36073 + 36073 - 16*s**2 = 0.
-2, 0, 2
Let q be 140/(-6)*(-102)/85 + 1. Suppose q*z**2 - 2*z**3 - 82*z**2 + 41*z**2 = 0. Calculate z.
-6, 0
Let k(z) be the third derivative of -z**6/24 + z**5/12 + 605*z**4/24 - 605*z**3/6 - z**2 - 141*z. Factor k(o).
-5*(o - 11)*(o - 1)*(o + 11)
Suppose -26*l + 96 = -25*l. Suppose -l = -9*c + 6*c. Solve -23*n - 13*n + c*n + n**2 = 0 for n.
0, 4
Factor 86/9*f**2 + 504 + 128*f + 2/9*f**3.
2*(f + 7)*(f + 18)**2/9
Let c = 52724/5 - 52722/5. Let o be 2/(-2) + (-43)/(-5). Factor -361/10*u**2 - c - o*u.
-(19*u + 2)**2/10
Let h(y) be the third derivative of 0 + 11/15*y**5 - 203*y**2 + 1/10*y**6 - 16/3*y**3 + 0*y - y**4. Suppose h(n) = 0. What is n?
-4, -2/3, 1
Let l(t) be the second derivative of 2*t**7/21 - 454*t**6/15 + 17326*t**5/5 - 151950*t**4 + 573750*t**3 - 843750*t**2 - 2722*t. Solve l(q) = 0.
1, 75
Suppose 5*q + 4*y = 438, 310 + 59 = 4*q - 3*y. Let x = -88 + q. Factor 4 - j**2 + 4*j**4 - 10*j**2 + 3*j**x.
4*(j - 1)**2*(j + 1)**2
Factor -1/2*s**2 + 9/2*s + 0.
-s*(s - 9)/2
Suppose 3*x - 3080 = -5*f - 2*x, x = 2*f - 1223. Let d be (f/6)/((-11)/(-66)). Suppose 4*a**5 + 4*a**4 - 613*a**3 + d*a**3 = 0. Calculate a.
-1, 0
Factor 4101*h**2 - 230*h + 4116*h**2 + 840 - 8202*h**2.
5*(h - 6)*(3*h - 28)
Let w(g) = 26*g**2 + 3*g - 13. Let x be w(-5). Suppose 2*u - x - 130 = -2*d, 3*u = d + 1136. What is y in 390*y**3 - 16*y - 2*y**4 - u*y**3 - 2*y**4 = 0?
-1, 0, 2
Let h(q) = -7*q + 191. Let k be h(25). Let t be 25/78 + (-97)/6 + k. Factor t*s**2 + 0*s + 0.
2*s**2/13
Let m = 12956 - 12951. Let v(p) be the second derivative of -39*p + 0*p**2 - 7/15*p**6 + 0 - 33/10*p**m + 5/3*p**4 + 0*p**3. Determine a so that v(a) = 0.
-5, 0, 2/7
Let a(j) = -44*j - 346. Let y be a(-8). Let x(r) be the first derivative of 0*r + 5 - 9/5*r**5 - y*r**2 + 4*r**3 + 15/4*r**4. Factor x(t).
-3*t*(t - 2)*(t + 1)*(3*t - 2)
Factor 1334019*b + 555208*b - 2044416 + 71283*b**3 - 185*b**4 + 2269301*b + 3*b**5 - 613*b**4 - 2184600*b**2.
3*(b - 88)**3*(b - 1)**2
Let h(v) be the first derivative of -8*v**5/5 + 277*v**4/6 + 7652*v**3/9 + 1105*v**2 + 396*v - 10474. Let h(p) = 0. Calculate p.
-9, -2/3, -1/4, 33
Let n(b) = -2*b**2 + 120*b + 116. Let c(r) = r**2 - 3*r + 2. Let h(g) = 2*c(g) + 2*n(g). Find t such that h(t) = 0.
-1, 118
Let h(x) = -3*x**2 - 7*x + 68. Let a be h(-7). Let g(c) = 