/2.
(n - 1)*(n + 1)**2/2
Let i(s) = s**3 + 5*s**2 + 3*s + 7. Let n be i(-5). Let f(h) = -h**3 - 6*h**2 + 9*h + 4. Let a be f(n). Solve 5*w + 8 + 62*w**2 - a*w**2 + 5*w = 0 for w.
-4, -1
Suppose -o = w - 3*o - 4, 3*o = -3*w + 30. Factor -16 - 2*j**2 + w*j + 2*j**2 - j**2.
-(j - 4)**2
Let q(s) be the first derivative of 17 - 3/8*s**4 + 3/4*s**2 - 3/20*s**5 + 3/4*s + 0*s**3. Suppose q(p) = 0. What is p?
-1, 1
Let s(f) be the first derivative of 3*f**5/40 + 3*f**4/8 - 27*f**3/8 + 57*f**2/8 - 6*f - 587. Solve s(z) = 0 for z.
-8, 1, 2
Let v = -2752 + 8258/3. Determine y so that -v*y**2 + 0 + 0*y = 0.
0
Let a(i) be the third derivative of -i**8/560 - i**7/70 - i**6/40 + i**3/6 - 16*i**2. Let p(y) be the first derivative of a(y). Factor p(t).
-3*t**2*(t + 1)*(t + 3)
Let b(o) be the first derivative of 2*o**6/13 - 46*o**5/65 - 11*o**4/26 + 18*o**3/13 + 5*o**2/13 - 8*o/13 - 191. Suppose b(r) = 0. What is r?
-1, -1/2, 1/3, 1, 4
Determine g, given that -14/5*g**2 + 8/5*g**3 - 7/5*g - 1/5*g**5 + 4/5*g**4 + 2 = 0.
-2, -1, 1, 5
Suppose 29*s = -466 + 553. Solve -4/3*g**2 + 1/3*g**s - 2/3 + 5/3*g = 0 for g.
1, 2
Let f = 61 + -59. Factor 4*k**f - 24*k**2 - 24*k**3 + 333*k**4 - 337*k**4.
-4*k**2*(k + 1)*(k + 5)
Let y(d) be the second derivative of d**7/105 - 44*d**6/75 - d**5/25 + 44*d**4/15 + d**3/15 - 44*d**2/5 + 60*d + 2. Find j, given that y(j) = 0.
-1, 1, 44
Factor 0 - 8/5*r - 22/5*r**2 + 2/5*r**5 - 18/5*r**3 - 2/5*r**4.
2*r*(r - 4)*(r + 1)**3/5
Let k(w) be the first derivative of -w**7/4620 + w**5/660 + 3*w**3 + 5. Let g(m) be the third derivative of k(m). Factor g(o).
-2*o*(o - 1)*(o + 1)/11
Let -2/5*j**4 - 102/5*j**3 - 98/5*j**2 + 20 + 102/5*j = 0. Calculate j.
-50, -1, 1
Factor 201*g**2 - 24*g**3 + 2*g**4 - 201*g**2 - 34*g**4 + 4*g - 12*g**5.
-4*g*(g + 1)**3*(3*g - 1)
Let j(a) = -28*a**2 - 356*a + 344. Let h(q) = 4*q**2 + 51*q - 49. Let v(t) = 20*h(t) + 3*j(t). Let v(y) = 0. Calculate y.
-13, 1
Suppose 52/9*c + 8/9*c**3 + 16/9 - 46/9*c**2 = 0. Calculate c.
-1/4, 2, 4
Let w(g) be the first derivative of -2*g**3/21 + 13*g**2/7 - 60*g/7 - 21. Factor w(j).
-2*(j - 10)*(j - 3)/7
Suppose 0 = 2*y - 8 - 16. Factor -2*i**2 - i**2 - 2*i + 3*i + y - 10*i.
-3*(i - 1)*(i + 4)
Suppose 8 - 2 + 4192*v**4 + 453*v**2 + 1023*v**2 - 171*v - 5136*v**3 + 2144*v**4 = 0. What is v?
2/33, 1/4
Let d(h) be the first derivative of 1/42*h**4 + 5*h**2 + 0*h - 1/7*h**3 + 4 + 1/210*h**5. Let b(y) be the second derivative of d(y). Factor b(x).
2*(x - 1)*(x + 3)/7
Let g(l) = 4*l**2 + 11*l - 29. Let j(w) = 46*w**2 + 120*w - 322. Let o(c) = -68*g(c) + 6*j(c). Let o(m) = 0. Calculate m.
2, 5
Let z(c) be the second derivative of 5*c**9/3024 - c**8/168 + c**6/36 - c**5/24 - 19*c**3/6 - 21*c. Let l(d) be the second derivative of z(d). Factor l(r).
5*r*(r - 1)**3*(r + 1)
Let v(o) = 5*o**2 - 19*o - 39. Let a(i) = 7*i**2 - 21*i - 38. Let y(d) = -3*a(d) + 4*v(d). Factor y(h).
-(h + 6)*(h + 7)
Let u(l) = -30*l**4 - 135*l**3 - 110*l**2 + 45*l + 55. Let s(z) = 15*z**4 + 67*z**3 + 55*z**2 - 23*z - 28. Let q(x) = -5*s(x) - 2*u(x). Let q(r) = 0. What is r?
-3, -1, 2/3
Let m(s) = s**3 + 5*s**2 + 5*s. Let j be m(-2). Factor o**j + 12 + 0*o**2 + 12*o - 8 + 4*o**2.
(o + 2)*(5*o + 2)
Suppose 2*v + v = 0. Suppose 10 = -4*p - p + 5*z, -3*p - 4*z + 22 = v. Find s such that s**3 + 7 + 9*s + p*s**3 + 9*s**2 - 4 = 0.
-1
Suppose -6*b - 3 = -15. Let l(d) be the first derivative of 0*d - 1/9*d**4 + 0*d**b - 4 - 2/27*d**3 - 2/45*d**5. Determine h, given that l(h) = 0.
-1, 0
Let c(u) = u**3 - 4*u**2 + 3*u - 2. Let f be c(4). Suppose 3*o = -2*o + f. Factor 36*w - 36*w**2 + 39*w**3 - 6 - 2 - 22*w**o - 9*w**4.
-(w - 2)*(w - 1)*(3*w - 2)**2
Let g = -5/1017 + 17324/7119. Factor 2/7 - g*j + 40/7*j**2 - 16/7*j**3.
-(j - 2)*(4*j - 1)**2/7
Let r be (-10)/30*0/2. Let o be (-30)/(-25)*(3 + (-2)/(-6)). Let 1/5 + 2/5*m**3 - 1/5*m**o + r*m**2 - 2/5*m = 0. Calculate m.
-1, 1
Let b(c) be the first derivative of 0*c + 8/3*c**3 - 16 - 11/10*c**4 + 4/5*c**2. Factor b(w).
-2*w*(w - 2)*(11*w + 2)/5
Let k(v) be the third derivative of -v**6/48 + 11*v**5/4 - 1815*v**4/16 - 240*v**2. Factor k(g).
-5*g*(g - 33)**2/2
Let q(y) be the second derivative of y**7/525 + y**6/300 - y**5/75 - 53*y**2/2 - 2*y - 5. Let k(t) be the first derivative of q(t). Factor k(x).
2*x**2*(x - 1)*(x + 2)/5
Let k(s) be the second derivative of s**5/20 - s**4/6 + s**2 + 2*s. Let x be k(2). Factor p - 2*p**2 - p**4 + 2*p**2 - 3*p**x + 3*p**3 + 0*p**2.
-p*(p - 1)**3
Let l(m) be the third derivative of 5*m**8/336 - 3*m**7/14 - m**6/8 + 25*m**5/12 + 15*m**4/4 - 17*m**2 + m. Solve l(x) = 0.
-1, 0, 2, 9
Let d = -2478 - -2482. Let 4/7*f**3 - 4/7*f + 18/7*f**2 - 18/7*f**d + 0 = 0. What is f?
-1, 0, 2/9, 1
Let f(x) be the third derivative of x**6/360 - x**5/45 + x**4/72 + x**3/3 - 198*x**2. Factor f(s).
(s - 3)*(s - 2)*(s + 1)/3
Let z be 15 + 1*1184/(-80). Suppose -z*s**3 + s + 1/5*s**2 + 3/5 = 0. Calculate s.
-1, 3
Let s(i) = -i + 10. Let m be s(5). Solve -7*r**3 - 6*r + 6*r**4 - 2 + 7*r**3 + 4*r**3 + 2*r**m - 4*r**2 = 0 for r.
-1, 1
Let b(n) be the first derivative of -1/6*n**4 - 3*n**2 + 1/30*n**5 + 0*n**3 + 1/60*n**6 + 0*n + 3. Let m(u) be the second derivative of b(u). Factor m(r).
2*r*(r - 1)*(r + 2)
Let y(p) be the first derivative of -15/14*p**4 + 6/7*p**3 + 0*p + 10 - 2/7*p**2 - 1/7*p**6 + 22/35*p**5. Let y(z) = 0. What is z?
0, 2/3, 1
Let g(u) be the first derivative of -2/9*u**3 + 0*u**2 - 24 + 0*u + 1/6*u**4. Factor g(f).
2*f**2*(f - 1)/3
Let g(u) be the third derivative of -u**8/3696 + u**6/1320 - 163*u**2. Solve g(f) = 0.
-1, 0, 1
Let f(b) be the third derivative of -b**7/1260 + b**6/180 - b**5/120 - b**4/36 + b**3/9 + 2*b**2 + 53. Find t such that f(t) = 0.
-1, 1, 2
Let x(s) = 2*s**2 - 124*s + 573. Let q be x(5). Suppose -3/8*d**q + 3/4*d**2 + 0*d + 0 = 0. Calculate d.
0, 2
Let y(d) = 15*d + 18. Let r be y(-6). Let s = -359/5 - r. Suppose -s*m + 0 - 2/5*m**2 = 0. Calculate m.
-1/2, 0
Let z(a) be the second derivative of -a**5/24 + 25*a**4/72 + 5*a**3/36 - 25*a**2/12 - 168*a. Suppose z(t) = 0. Calculate t.
-1, 1, 5
Suppose -8*o + 5 = -11. Suppose -u**3 + 4 - 101*u**o + 9*u + 202*u**2 + 2*u**3 - 95*u**2 = 0. What is u?
-4, -1
Suppose 4*o + 2*z - 12 = 0, z = -4*o + 2 + 10. Factor -4*k**4 + 3*k**o + k**4 + 2*k**2 + 8*k**2 - 4*k**2.
-3*k**2*(k - 2)*(k + 1)
Suppose 36*h + 6 = 33*h, h + 2 = 4*i. Factor -27/5*k**3 - 3/5*k + i + 18/5*k**2 + 12/5*k**4.
3*k*(k - 1)**2*(4*k - 1)/5
Let j be (-9)/(-15)*(-30)/(-9). Factor 60*i**4 - i**3 - 14*i**3 - 10*i**j - 27*i**5 - 8*i**5.
-5*i**2*(i - 1)**2*(7*i + 2)
Let l(b) be the first derivative of -b**4/18 - 16*b**3/27 + b**2 - 348. Factor l(n).
-2*n*(n - 1)*(n + 9)/9
Factor 78/5*o**2 - 160 + 4/5*o**3 - 2/5*o**4 - 16*o.
-2*(o - 5)**2*(o + 4)**2/5
Solve 213/2*g**4 + 8214 - 444*g - 3/2*g**5 - 12309/2*g**2 - 3441/2*g**3 = 0 for g.
-2, 1, 37
Let r(b) be the second derivative of 0 + 7*b + 3/14*b**4 + 4/105*b**6 + 1/21*b**3 - 1/7*b**2 + 11/70*b**5. Let r(g) = 0. What is g?
-1, 1/4
Let b be 186/8 - 7/28. Solve -15*n**2 - 24*n - 27 - 3*n**3 - b + 38 = 0 for n.
-2, -1
Let y(k) = k**3 - 2*k**2 - k - 2. Let q be y(3). What is c in -5*c**3 - 4*c**4 - 8*c**q - 3*c**5 + 4*c**4 - c**2 + c**4 = 0?
-1, -1/3, 0
Let r(o) be the second derivative of -11/6*o**3 - 12*o + 1/90*o**6 + 4/15*o**5 + 8/3*o**4 + 0*o**2 + 0. Let h(n) be the second derivative of r(n). Factor h(s).
4*(s + 4)**2
Let g(b) be the third derivative of -b**5/80 - 13*b**4/32 - 31*b**2 - b. Determine t so that g(t) = 0.
-13, 0
Let x(q) be the third derivative of 5*q**8/336 - q**7/14 - 5*q**6/24 + 9*q**5/4 - 20*q**4/3 + 10*q**3 - 352*q**2. Find h, given that x(h) = 0.
-3, 1, 2
Let f(p) be the second derivative of -3/2*p**4 + 1/28*p**7 - 3/10*p**6 + 0 + 0*p**2 + 39/40*p**5 + p**3 + 16*p. Solve f(j) = 0.
0, 1, 2
Let c(l) = 15*l**5 - 27*l**4 - 21*l**3 + 15*l**2 + 30*l + 12. Let o(s) = s**5 - s**4 + s + 1. Let d(y) = -c(y) + 12*o(y). Find a such that d(a) = 0.
-1, 0, 1, 6
Let h = 925 - 83257/90. Let b = h + 3/10. What is u in -2/9*u + b*u**2 - 4/9 = 0?
-1, 2
Let w(f) be the first derivative of 0*f**3 + 1/2*f**4 - 1 + 0*f**2 + 9/5*f**5 + 0*f. Solve w(j) = 0.
-2/9, 0
Let u(g) be the second derivative of 14*g - 1/28*g**4 + 15/14*g**2 - 2/7*g**3 + 0. Determine k so that u(k) = 0.
-5, 1
Let -12/