 6/7 - l*g.
-3*(g + 1)*(g + 2)/7
Let l(u) be the second derivative of -16 + 0*u**2 - u**3 - 11/6*u**4 - 37/40*u**5 + 3*u - 1/12*u**6. Factor l(y).
-y*(y + 1)*(y + 6)*(5*y + 2)/2
Let q be 17 - 14 - (1 - (-1 + 0)). Let s(u) be the first derivative of -1/2*u**2 + 2/3*u + 1/9*u**3 + q. Factor s(i).
(i - 2)*(i - 1)/3
Let b(n) be the first derivative of 46 - 1/4*n**3 + 243/4*n**2 - 19683/4*n. Let b(g) = 0. What is g?
81
Let u be (-288)/(-384) + (-10)/(-8) + 1. Suppose 45 + 2359*b - b**2 - 2318*b - u = 0. Calculate b.
-1, 42
Let f = 1651 + -1651. Suppose -27 + 31 = q + h, f = 5*h - 10. Solve 5/3 + 1/3*l**3 + 11/3*l + 7/3*l**q = 0 for l.
-5, -1
Let y(p) be the second derivative of p**8/1344 + p**7/72 + 11*p**6/144 + 5*p**5/24 + 109*p**4/4 - p + 59. Let k(u) be the third derivative of y(u). Factor k(f).
5*(f + 1)**2*(f + 5)
Let d = 130409 - 1173671/9. Suppose 88/9*w**2 + 14/9*w**5 - d*w - 28/3*w**3 + 4/9*w**4 - 4/3 = 0. Calculate w.
-3, -2/7, 1
Factor 198/13*m**2 + 2/13*m**4 + 0 - 38/13*m**3 - 162/13*m.
2*m*(m - 9)**2*(m - 1)/13
Let j = -50697 + 50699. Determine n, given that -26/3*n + 2/3*n**3 + 14/3*n**j - 2/3*n**4 + 4 = 0.
-3, 1, 2
Let o be (3/(-6))/(2/124*-1). Factor 2*y**2 + 6*y + o*y - 7*y**2 + 130 + 18*y.
-5*(y - 13)*(y + 2)
Let v(o) be the first derivative of o**7/42 + o**6/10 - o**4/3 + 129*o - 68. Let y(f) be the first derivative of v(f). Factor y(i).
i**2*(i - 1)*(i + 2)**2
Let w(c) be the second derivative of c**6/75 + 2*c**5/25 - c**4/10 - 2*c**3/3 + 8*c**2/5 + 221*c - 5. Suppose w(o) = 0. What is o?
-4, -2, 1
Factor -3418 - 2*p**4 - 3*p + 6836 - 3417 + 2*p**2 + 2*p**3 - p**4 + p**5.
(p - 1)**4*(p + 1)
Let w = -1536378 - -1536378. Factor 0*s - 1/4*s**4 + 0*s**3 - 1/4*s**5 + 0*s**2 + w.
-s**4*(s + 1)/4
Factor 2426/5*g + 4/5*g**2 + 1212/5.
2*(g + 606)*(2*g + 1)/5
Let p be 36/12 + 0 + 1. Suppose -n - 6*b = -8*b + 3, n - 21 = -p*b. Factor -9*z**3 + 2*z - 3*z**4 + 22*z**5 - 35*z**n + 3*z**2 + 16*z**5 + 4*z.
3*z*(z - 2)*(z - 1)*(z + 1)**2
Let y(l) = l**3 + 4*l**2 + 6*l - 5. Let d be y(7). Let s = d + -2874/5. Determine q, given that -2/5*q**4 + 2/5*q**2 + s*q**3 - 4/5*q - 2/5*q**5 + 0 = 0.
-2, -1, 0, 1
Suppose 4*j + 170 - 194 = 0. Suppose -34*i**3 - 32*i**2 - 26*i**2 + 2 + 26 + 10*i + j*i**4 = 0. What is i?
-1, 2/3, 7
Let c(i) be the third derivative of 0*i**4 + 0*i**3 + 4/105*i**7 + 38*i**2 + 0*i**6 + 0 + 0*i**5 + 0*i + 1/168*i**8. Factor c(d).
2*d**4*(d + 4)
Let f = 216 - 171. Factor 7*b**3 + 3*b**3 + f*b**2 + 60*b - 1632 + 1657.
5*(b + 1)**2*(2*b + 5)
Let p = 0 + 2. Let m = 21 + -9. Let 15*s - 35*s**3 + 3*s**2 + 40*s**3 + m*s**p + 5 = 0. What is s?
-1
Let v(t) be the second derivative of -t**4/3 + 196*t**3/3 + 1470*t**2 + 6696*t. Determine u, given that v(u) = 0.
-7, 105
Let b(z) be the second derivative of 171*z - z**4 + 0 + 0*z**2 + 2/3*z**3. Suppose b(h) = 0. Calculate h.
0, 1/3
Let o(f) be the first derivative of f**6/9 + 32*f**5/15 + 14*f**4/3 + 2610. Factor o(a).
2*a**3*(a + 2)*(a + 14)/3
Let q = 33 + -23. Let b be 5 - (-8)/(-40)*q. Determine m so that 0 - 4/7*m**5 - 8/7*m**4 + 4/7*m + 8/7*m**2 + 0*m**b = 0.
-1, 0, 1
Find n such that 1/7*n**5 - 10/7*n**4 + 0 + 24/7*n - 50/7*n**2 + 5*n**3 = 0.
0, 1, 2, 3, 4
Let u(y) = 3*y - 16. Let m be u(7). Suppose -5 = -c + m. Find o such that -559*o**3 + 3 + 8*o**2 + 565*o**3 + c*o + o**4 + 4*o**2 = 0.
-3, -1
Let w be 4/(-8) - (2/(-4) - 2). Let q(t) = -2*t**3 - t**2 + t - 1. Let v(a) = 9*a**3 + 8*a**2 - a + 5. Let d(g) = w*v(g) + 10*q(g). Factor d(r).
-2*r*(r - 4)*(r + 1)
Let q = 1839833/566100 + -2/141525. Factor -q + 9/2*g - 5/4*g**2.
-(g - 1)*(5*g - 13)/4
Determine g so that 31*g**3 - 1/2*g**4 - 31*g + 0 + 1/2*g**2 = 0.
-1, 0, 1, 62
Let w be (6/120)/(-8 + 1 + 8). Let a(h) be the second derivative of -w*h**6 - 9/40*h**5 - 3/8*h**4 + 0 + 0*h**2 - 1/4*h**3 + 16*h. Factor a(l).
-3*l*(l + 1)**3/2
Suppose 0*x + 5*x = 0, 4*f - 4*x - 448 = 0. Suppose 3*k - f = -0*k + m, -2*m = 5*k - 172. Let k - 24*u + 8*u**2 - 2*u**2 - 2*u**2 = 0. Calculate u.
3
Solve -5*d**3 + 44*d**2 + 188*d - 52*d**2 - 132*d**2 + 0*d**3 + 390 - 433*d = 0.
-26, -3, 1
Let f(t) be the third derivative of t**6/20 - 517*t**5/30 - 173*t**4/6 - 232*t**2 - 4*t. Find b, given that f(b) = 0.
-2/3, 0, 173
Factor 9*f**4 + 0*f + 0 + 30*f**3 + 28*f**2 + 1/2*f**5.
f**2*(f + 2)**2*(f + 14)/2
Let c(t) be the second derivative of -t**7/1260 - t**6/10 - 27*t**5/5 + t**4/6 - t**3/6 - 20*t - 1. Let b(l) be the third derivative of c(l). Factor b(j).
-2*(j + 18)**2
Let f(b) be the second derivative of b**7/5 - 109*b**6/15 + 1456*b**5/25 + 1404*b**4/5 + 112*b**3/15 - 784*b**2/5 + b - 260. Determine t so that f(t) = 0.
-2, -1/3, 2/7, 14
Factor 557/7*x + 1/7*x**2 + 556/7.
(x + 1)*(x + 556)/7
Let o(x) = 102*x**2 + 231*x + 849. Let r(q) = 23*q**2 + 57*q + 212. Let l(u) = -2*o(u) + 9*r(u). Factor l(n).
3*(n + 7)*(n + 10)
Let f(z) = 131*z + 20*z - 50 - 6*z + 115*z**2. Let c(m) = -m**3 - m**2 - m. Let b(r) = -20*c(r) + f(r). Factor b(g).
5*(g + 2)*(g + 5)*(4*g - 1)
Factor 2*r**2 + 3*r**2 + 5*r**4 - 16*r**2 - 3*r**4 - 9*r**2 + 6*r**3.
2*r**2*(r - 2)*(r + 5)
Let k = -2109 - -2125. Let d be (-2*(-81)/42)/(19 - k). Suppose -9/7*x**2 - x**3 + 9/7*x**4 - 2/7*x + d*x**5 + 0 = 0. What is x?
-1, -2/3, -1/3, 0, 1
Let j(h) be the third derivative of h**5/45 + 35*h**4/18 + 68*h**3 + 14*h**2 - 71*h + 1. Let j(u) = 0. What is u?
-18, -17
Suppose 575*u = 931*u - 712. Factor 9/8*h**u + 3/8*h**4 - 3/2 - 3/2*h + 3/2*h**3.
3*(h - 1)*(h + 1)*(h + 2)**2/8
Suppose -3/4*p**2 + 263/2*p + 88 = 0. Calculate p.
-2/3, 176
Let x(f) be the second derivative of -f**5/20 + f**4/12 + 8*f**3/3 + 10*f**2 - 2809*f. Factor x(w).
-(w - 5)*(w + 2)**2
Let z be ((-4)/6)/((-14)/42). Solve 4*y**5 - 69*y**2 - 70*y**2 + 16*y**3 + 29*y**2 + 32*y**4 - 148*y + 6*y**z - 56 = 0 for y.
-7, -1, 2
Let j = -219 - -213. Let p(d) = 10*d**3 + 44*d**2 + 26*d + 4. Let s(u) = 11*u**3 + 44*u**2 + 25*u + 2. Let t(a) = j*s(a) + 5*p(a). Solve t(o) = 0 for o.
-2, -1, 1/4
Let q(f) = -5*f**2 + 1300*f - 425116. Let z(d) = 11*d**2 - 2599*d + 850235. Let r(j) = -9*q(j) - 4*z(j). Solve r(w) = 0 for w.
652
Let k(i) be the second derivative of 1 - 1/15*i**6 - 1/3*i**4 - 1/168*i**7 - 9/40*i**5 + 0*i**2 - 5/24*i**3 - i. Suppose k(q) = 0. Calculate q.
-5, -1, 0
Let c(r) be the second derivative of 8/9*r**2 - r + 5/9*r**3 + 1/9*r**4 - 1/90*r**5 + 65. Suppose c(h) = 0. What is h?
-1, 8
Suppose -5*q + 0 + 20 = 0. Factor -17*y**2 - 13 + 21*y**3 - y**q + 7 - 14*y**3 + 17*y.
-(y - 3)*(y - 2)*(y - 1)**2
Let j(q) be the third derivative of 0 + 2/9*q**4 + 50*q**2 + 0*q**3 + 0*q + 1/135*q**5. Factor j(n).
4*n*(n + 12)/9
Let z be 38 + 4823/318 + -53. Find t, given that -5/6*t**3 - 1/3*t**2 + 10/3*t - z*t**4 + 4 = 0.
-3, -2, 2
Let j(l) be the third derivative of -11*l**6/30 - 19*l**5/20 - 9*l**4/16 - l**3/12 - 591*l**2 - 1. Solve j(w) = 0.
-1, -1/4, -1/22
Let w be 5 + -11 - ((-3)/5)/((-6)/(-60)). Let y(b) be the first derivative of 8/3*b**3 - 3 + b**4 + 0*b + w*b**2 - 4/5*b**5. Factor y(r).
-4*r**2*(r - 2)*(r + 1)
Let l(c) be the third derivative of 0*c**4 - 111*c**2 + 0 - 1/480*c**5 + 1/48*c**3 + 0*c. Find s, given that l(s) = 0.
-1, 1
Suppose 3*d - 15 + 0 = 0. Let -s**d - 4*s**4 - 23*s**3 + 4*s**2 + 11*s**3 + 9*s**3 + 4*s = 0. What is s?
-2, -1, 0, 1
Let f(c) = -83*c**3 - 545*c**2 + 4697*c - 9600. Let b(s) = -24*s**3 - 182*s**2 + 1566*s - 3200. Let m(v) = 14*b(v) - 4*f(v). Factor m(n).
-4*(n - 4)**2*(n + 100)
Let r(q) be the third derivative of q**6/3420 - q**5/57 - 7*q**4/76 + 25*q**3 - 2*q**2 - 2. Let v(o) be the first derivative of r(o). Factor v(n).
2*(n - 21)*(n + 1)/19
Let -2/13*p**3 + 2/13*p + 4/13 - 6/13*p**2 + 2/13*p**4 = 0. Calculate p.
-1, 1, 2
Let l(x) = -11*x**2 - 42*x - 50. Suppose 29*c - 115 = 6*c. Let g(s) = -6*s**2 - 21*s - 24. Let p(u) = c*g(u) - 3*l(u). Factor p(b).
3*(b + 2)*(b + 5)
Suppose -1497*c**2 + 137*c**3 + 3*c**4 + 434 + 100*c**3 + 2775*c**2 - 12*c**3 + 2508*c + 1222 = 0. Calculate c.
-69, -2
Suppose 5*r + 5*z = 6*r - 3, 3*z - 27 = -3*r. Find v, given that 2*v**2 + 62*v - 58*v - r*v**3 - 2*v**2 + 4*v**5 = 0.
-1, 0, 1
Let g(w) be the third derivative of w**5/48 - 355*w**4/96 - 3*w**2 - 436*w. Factor g(c).
5*c*(c - 71)/4
Let u be 10/((-2300)/42) - (-6)/(-10). Let w = u + 113/115. Factor -4/5*c**4 + 0 + w*c + 1/5*c**5 +