-(y - 5)*(y - 1)*(y + 2)/7
Suppose -3*c + 38 = -4*s, 5*c = 796*s - 799*s - 14. Let r(l) be the first derivative of 2/39*l**3 - 2/13*l**c + 0*l + 43. What is v in r(v) = 0?
0, 2
Suppose 1 + 59 - 60 = 44*m - 17*m. Find y such that -2/19*y**3 + m - 4608/19*y - 192/19*y**2 = 0.
-48, 0
Solve -3*g**3 + 3/7*g**4 - 96/7*g + 288/7 - 174/7*g**2 = 0 for g.
-4, -2, 1, 12
Suppose 906/5*g - 906/5*g**3 + 69*g**2 + 3*g**4 - 72 = 0. Calculate g.
-1, 2/5, 1, 60
Let m(z) be the first derivative of 1/2*z**3 + 3/2*z**2 + 182 + 0*z. Let m(w) = 0. What is w?
-2, 0
Let x = 748 + -746. Let z(g) be the second derivative of 0 - 2/5*g**5 + 0*g**4 + 0*g**x + 0*g**3 + 2/15*g**6 + 2/21*g**7 + 3*g. Factor z(t).
4*t**3*(t - 1)*(t + 2)
Let c = 2/16885 - 35776/16935655. Let l = c + 1007/2006. Factor l*v - 1/6*v**3 - 1/3 + 0*v**2.
-(v - 1)**2*(v + 2)/6
Let t(r) = -3*r**2 - 4*r + 1. Let o(l) = -l**3 - 19*l**2 - 218*l - 4. Let x(c) = -5*o(c) - 20*t(c). Find d, given that x(d) = 0.
-18, -13, 0
What is h in -1 - 11/4*h**2 + 1/4*h**5 - 3*h - 1/4*h**3 + 3/4*h**4 = 0?
-2, -1, 2
Let z(x) = x**3 + 32*x**2 + 19*x - 41. Let i be z(-30). Let v = -1185 + i. Suppose -2/3*a**v - 2/3 + 4/3*a**2 + 0*a**3 + 0*a = 0. Calculate a.
-1, 1
Let b(z) = z**3 + 9*z**2 - 7*z + 88. Let k be b(-11). Let y be k/(-42)*12/33. Factor 0 + 0*v - y*v**3 + 8/3*v**2.
-2*v**2*(v - 4)/3
Find j such that 750 - j**2 - 1687 + 877 - 32*j = 0.
-30, -2
Suppose 1/2*m**2 - 2138*m + 2285522 = 0. What is m?
2138
Determine r, given that -968 + 261*r**3 - 72*r**3 - 1724*r**2 + 9614*r - 111*r**3 = 0.
4/39, 11
Let b = -8758/7 - -43874/35. Determine f so that 54/5 - 2/5*f**2 + b*f = 0.
-3, 9
Let c(b) be the first derivative of -3*b**8/560 + b**7/14 - 11*b**6/120 - 3*b**5/20 + 175*b**3/3 + 270. Let f(h) be the third derivative of c(h). Factor f(j).
-3*j*(j - 6)*(j - 1)*(3*j + 1)
Let f(x) be the first derivative of x**8/1848 - x**7/165 + x**6/60 - x**5/66 + 15*x**2/2 + 2*x + 34. Let m(c) be the second derivative of f(c). Factor m(s).
2*s**2*(s - 5)*(s - 1)**2/11
Suppose 3*c + 58 = 79. Let z(x) = -4*x + 34. Let y be z(c). Find a such that -6*a**2 - 7*a**2 + 20 + 15*a**2 - 28*a + y = 0.
1, 13
Let n(x) be the third derivative of x**7/42 - 47*x**6/24 + 475*x**5/12 + 3125*x**4/8 + 344*x**2 + 1. Factor n(r).
5*r*(r - 25)**2*(r + 3)
Let i(r) be the third derivative of 0*r**3 + 0*r - 206*r**2 - 1/72*r**6 + 5/1008*r**8 + 0*r**4 + 1/36*r**5 + 0 - 1/126*r**7. Factor i(b).
5*b**2*(b - 1)**2*(b + 1)/3
Let z(s) = 8*s**3 + 264*s**2 - 8970*s + 16930. Let k(y) = y**3 + 3. Let j(c) = -10*k(c) + z(c). Suppose j(w) = 0. Calculate w.
2, 65
Let i = -803 + 129. Let b = i + 674. Factor -1/2*w**3 - 1/2*w**2 + b*w + 0.
-w**2*(w + 1)/2
Let b = 2491402/5 + -498268. What is y in b*y + 2/5*y**2 - 64/5 = 0?
-32, 1
Let d(a) = 10*a**2 + 1185*a - 2405. Let r(n) = -11*n**2 - 1184*n + 2406. Let m(p) = 6*d(p) + 5*r(p). Suppose m(z) = 0. Calculate z.
-240, 2
Factor 8548*h**2 - 1455*h - 765*h - 8552*h**2.
-4*h*(h + 555)
Suppose 343*t = 198*t - 1 + 1. What is c in 0 + 0*c + 2/5*c**3 - 6/5*c**5 + t*c**2 + 4/5*c**4 = 0?
-1/3, 0, 1
Let p be 837/(-186) - 1315/(-70). Factor -104/7*k - p - 4/7*k**2.
-4*(k + 1)*(k + 25)/7
Let g(v) = 4*v**2 - 5*v - 339. Let f(j) = -4*j**2 + 2*j + 346. Let y(a) = -3*f(a) - 2*g(a). Factor y(t).
4*(t - 9)*(t + 10)
Let t = -21911/12 - -5486/3. Let u(n) be the second derivative of -3 + 0*n**2 - t*n**3 - 3*n - 1/8*n**4. Factor u(g).
-3*g*(g + 11)/2
Solve -153/4 + 1/4*w**3 - 11/4*w**2 - 93/4*w = 0 for w.
-3, 17
Let j be 6/9*27/(-6). Let v be j/(6/4) - (-4 - 2). Find f such that 3*f**5 + v*f**3 + 2*f**3 + 6*f**5 + 27*f**4 - 6*f**4 = 0.
-2, -1/3, 0
Let x = 17/8885 - -53123/97735. Let -7776/11 - 432/11*n - x*n**2 = 0. Calculate n.
-36
Let g(n) be the first derivative of -75*n**4/4 + 101*n**3/3 - 37*n**2/2 - n + 69. Let z(j) = -j**2 - j - 1. Let o(m) = -g(m) + 4*z(m). Let o(t) = 0. What is t?
1/5, 1
Let g(s) be the second derivative of -5*s**4/48 - 305*s**3/24 - 1275*s**2/4 + 2421*s. Factor g(n).
-5*(n + 10)*(n + 51)/4
Let c(x) be the first derivative of 2*x**3/21 - 1068*x**2/7 + 570312*x/7 + 1403. Factor c(n).
2*(n - 534)**2/7
Let b = -95343 - -95347. Factor 2/9*h - 2/9*h**b + 0 + 2/3*h**3 - 2/3*h**2.
-2*h*(h - 1)**3/9
Suppose 6 = -2*v - 3*o, -17 = 24*v - 27*v + 2*o. Factor -23*s**3 - 2 + 2*s - 2 + 21*s**v + 4*s**2.
-2*(s - 2)*(s - 1)*(s + 1)
Let t(p) = p**3 - 15*p**2 - p + 17. Let y be t(15). Let -5*h**2 + h**y - 8*h**3 + 3*h + h + 9*h**3 = 0. What is h?
0, 2
Solve -9000 + 2/5*w**3 + 292/5*w**2 + 2010*w = 0.
-75, 4
Let i(p) be the second derivative of -p**6/20 - 51*p**5/20 - 33*p**4/8 + 7*p - 43. Find d such that i(d) = 0.
-33, -1, 0
Suppose 2*o**2 - 362404 + 2*o**2 + 2408*o + o**2 - o**2 - 8*o**2 = 0. What is o?
301
Let b(q) be the third derivative of 0*q**3 + 3/200*q**6 + 0*q**7 - 1/560*q**8 + 0*q - 1/50*q**5 + 0 + 0*q**4 - 43*q**2. Factor b(y).
-3*y**2*(y - 1)**2*(y + 2)/5
Suppose -10*y + 17 = 3*d - 64, 4*d = -4*y + 80. Factor -9/2 + 3/2*f**y + 9/2*f**2 - 3/2*f.
3*(f - 1)*(f + 1)*(f + 3)/2
Solve 6241/2 + 1/2*u**2 + 79*u = 0 for u.
-79
Let s(l) be the second derivative of 2*l**6/15 + 82*l**5/5 + 800*l**4/3 + 2716*l**3/3 + 1278*l**2 + l - 1610. Factor s(m).
4*(m + 1)**2*(m + 9)*(m + 71)
Let l(c) be the first derivative of -c**5 + 335*c**4/4 - 110*c**3 + 3883. Solve l(j) = 0 for j.
0, 1, 66
Let d = 23 - 16. Suppose 5*t - 3 - d = 0. Solve -6 - 11 - 2 + 5*p**t - 1 = 0.
-2, 2
Let x = 2013 + -2007. Let s(v) be the second derivative of 1/90*v**5 + 1/135*v**x - 2/9*v**2 - 5/27*v**3 - 1/18*v**4 + v + 0. Factor s(f).
2*(f - 2)*(f + 1)**3/9
Let s = 1496 + -4484/3. Let i(u) be the second derivative of 0 - u**4 - 1/5*u**5 + 0*u**2 - 39*u - s*u**3. Factor i(v).
-4*v*(v + 1)*(v + 2)
Let b(z) = -99*z + 19*z**2 + 28*z**2 + 24*z**2 - 109 - 50*z**2. Let c(p) = 11*p**2 - 49*p - 54. Let o(v) = -6*b(v) + 11*c(v). Find i such that o(i) = 0.
-1, 12
Let f(l) be the first derivative of -2*l**3/21 + 16*l**2 - 896*l - 351. Determine b so that f(b) = 0.
56
Let n = -40483 - -80971/2. Factor 5/2*c**4 + n*c**3 - 5/2*c**2 + 0 - 5/2*c.
5*c*(c - 1)*(c + 1)**2/2
Let c(b) be the second derivative of -4*b - 2/3*b**3 - 5/3*b**2 - 1/18*b**4 - 15. Factor c(x).
-2*(x + 1)*(x + 5)/3
Let p(i) be the second derivative of 4/21*i**3 - i + 2 + 1/210*i**5 - 1/21*i**4 + 25*i**2. Let v(s) be the first derivative of p(s). Factor v(y).
2*(y - 2)**2/7
Let k(n) = -2*n**2 - 10*n + 4. Let c be k(-5). Let y be (-111)/27 + c + (-5)/(-18). Suppose 0 + y*q**2 + 0*q + 1/6*q**3 = 0. What is q?
-1, 0
Let w(x) = -2*x**3 + 3*x**2 - 4*x - 6. Let t be w(3). Let k be ((-20)/t)/(1 + -1 - -2). Factor 2/9 - 2/9*z**3 + k*z - 2/9*z**2.
-2*(z - 1)*(z + 1)**2/9
Let m be 113/2 - 3/18*15. Let y = m - 161/3. Suppose -5/3 + y*j**2 + 4/3*j = 0. What is j?
-5, 1
Let l = 955/1908 - 1/1908. Let m(j) be the first derivative of 0*j - 3/16*j**4 + l*j**3 + 0*j**2 + 9. Factor m(y).
-3*y**2*(y - 2)/4
Factor 5*p**5 + 147326*p**3 - 147326*p**3 - 2290*p**4.
5*p**4*(p - 458)
Suppose -288 = -4*k - 4*w, -2*k + 2*w + 149 = 5*w. Let t = -58 + k. Find f, given that -t*f + 31*f**4 - 6*f**3 - 3*f - 4 - 32*f**4 - 13*f**2 = 0.
-2, -1
Let q(l) be the first derivative of l**4/16 + 101*l**3/12 - 13*l**2 - 51*l - 2549. Factor q(t).
(t - 2)*(t + 1)*(t + 102)/4
Let g = -341860 + 341890. Factor -88/3*i + 2/3 - g*i**2.
-2*(i + 1)*(45*i - 1)/3
Let n = 4078684/27485 + 18/5497. Let u = n + -148. Find t, given that 0 + 0*t + 2/5*t**3 + u*t**2 = 0.
-1, 0
Factor 315*u**2 + 3*u**3 + 42*u**2 + 155*u**2 - 1032 + u**3 - 524*u.
4*(u - 2)*(u + 1)*(u + 129)
Let q(r) be the first derivative of 14/3*r**2 - 24 + 11/9*r**4 - 2/15*r**5 - 104/27*r**3 - 2*r. Let q(h) = 0. Calculate h.
1/3, 1, 3
Let r = 731806 - 5122639/7. Find o, given that 0 - 3/7*o**2 + r*o**4 - 3/7*o + 3/7*o**3 = 0.
-1, 0, 1
Let v(i) be the third derivative of 0*i**3 + 0 + 0*i + 4/15*i**5 + 4/105*i**7 + 3/10*i**6 + 45*i**2 + 0*i**4. Factor v(s).
4*s**2*(s + 4)*(2*s + 1)
Let m(v) = 3*v**4 + 159*v**3 + 2*v**2 + 2*v + 2. Let u(b) = 2*b**4 + 161*b**3 + 3*b**2 + 3*b + 3. Let w(x) = -3*m(x) + 2*u(x). Factor w(o).
-5*o**3*(o + 31)
Suppose -2*l - 1 = -l. Let r be -3*(l - (2 + (-14)/6)). What is t in -27*t**3 + 25*t**3 + r*t + t**2 - t**2 = 0?
-1, 0, 1
Let g(n) = n**2 + 14*n - 15. Let r(u) = -4 - 9 - 1 - 16 + 29*u + u*