f(g). Factor -9/8*z + 3/8*z**x + 3/4.
3*(z - 2)*(z - 1)/8
Let j(h) = 14*h + 17. Let a = -131 - -130. Let z be j(a). Factor 0 + 4/3*s**2 + 10/3*s**4 - 14/3*s**z + 0*s.
2*s**2*(s - 1)*(5*s - 2)/3
Let f be ((-8)/16)/(2/(-8)). Suppose -5*d + 5 = 2*b, 13 = 4*b - f*b - 3*d. Factor k**3 - 3*k**2 - 129*k**b + 130*k**5 - 2*k - 3*k**4 + 6*k**2.
k*(k - 2)*(k - 1)**2*(k + 1)
Let a(y) = -2*y**3 + 30*y**2 + 36*y - 66. Let z(r) = 6*r**3 - 89*r**2 - 107*r + 197. Let u(m) = 14*a(m) + 4*z(m). Solve u(d) = 0 for d.
-2, 1, 17
Let y = 6762 + -6759. Let r(j) be the second derivative of 0 - 81*j**2 + 5*j - 1/6*j**4 + 6*j**y. Determine q so that r(q) = 0.
9
What is x in 1/8*x**2 + 245/4 - 247/8*x = 0?
2, 245
Factor 0 + 53/4*q**2 - 3/2*q - 25/4*q**3.
-q*(q - 2)*(25*q - 3)/4
Let y(m) be the third derivative of -m**7/1050 + 13*m**6/100 - 579*m**5/100 + 351*m**4/5 - 1944*m**3/5 + 2202*m**2. Factor y(k).
-(k - 36)**2*(k - 3)**2/5
Factor 0 - 51/4*w + 57/8*w**2 - 3/8*w**3.
-3*w*(w - 17)*(w - 2)/8
Let f(i) be the third derivative of 15 + 0*i - 1/12*i**5 - 15/2*i**3 + 25/12*i**4 - i**2. What is w in f(w) = 0?
1, 9
Let n = 145285 + -145281. What is b in -4/7*b + 4/7*b**3 - 4/7*b**n - 8/7 + 12/7*b**2 = 0?
-1, 1, 2
Let x = 146654 - 733264/5. Suppose x + 2*k**2 + 14/5*k + 2/5*k**3 = 0. What is k?
-3, -1
Let s(r) = r**2 + r - 3. Let g(z) = -33 + 123 + 5*z**2 - 27 - 21*z. Let i(y) = g(y) - 3*s(y). Factor i(d).
2*(d - 6)**2
Suppose 4*m - 148 = -3*v, 5*m = m - 20. Let k = v + -53. Suppose 8*t**5 - 2*t**4 + 5*t**2 - 2*t**3 - k*t**2 - 6*t**5 = 0. Calculate t.
-1, 0, 1
Let i(s) be the third derivative of s**7/630 - 13*s**6/360 - 13*s**5/36 - 17*s**4/24 + 1266*s**2. Suppose i(t) = 0. What is t?
-3, -1, 0, 17
Let n = -20/81 - -401/1296. Let c(l) be the third derivative of n*l**5 + 1/24*l**3 + 1/12*l**4 + 2*l**2 + 0*l + 0. Solve c(m) = 0.
-1/3, -1/5
Let w be ((-12)/(-4))/(10/(-560)). Let g = -488/3 - w. What is p in 0 + 24*p**4 + 0*p**2 + 68/3*p**3 - g*p + 20/3*p**5 = 0?
-2, -1, 0, 2/5
Let n(k) be the first derivative of -k**8/1680 + k**7/280 - k**6/180 - 6*k**3 + 3*k - 38. Let i(d) be the third derivative of n(d). Factor i(u).
-u**2*(u - 2)*(u - 1)
Let w = -455 - -458. What is s in 36*s**w - 40*s**2 + 48*s**4 + 45*s**4 - 89*s**4 = 0?
-10, 0, 1
Suppose 0 = 3*m - 74 + 68. Suppose -2*f - 4*r + 2*r = -46, 71 = 2*f - 3*r. Factor -f + 10*j + 3 - 79*j**2 + 78*j**m.
-(j - 5)**2
Let s(q) be the first derivative of -q**3/21 - 163*q**2/14 - 162*q/7 - 373. Let s(m) = 0. Calculate m.
-162, -1
Let g(x) be the third derivative of 3/2*x**3 + 2 + 1/3*x**4 + 0*x - 1/60*x**5 - 18*x**2. Let g(r) = 0. Calculate r.
-1, 9
Let b(l) be the first derivative of -2*l**5/135 + l**4/216 - 21*l**2/2 + 68. Let v(a) be the second derivative of b(a). Factor v(r).
-r*(8*r - 1)/9
Factor 4 - 1440*k**2 + 496*k**3 - 961*k**3 + 5*k**4 - 4.
5*k**2*(k - 96)*(k + 3)
Suppose -21 + 1 = 5*g. Let v(x) = x**3 - 4*x**2 - x + 7. Let r(c) = 4*c**2 - 6. Let a(b) = g*v(b) - 6*r(b). Factor a(h).
-4*(h - 1)*(h + 1)*(h + 2)
Let d be (-3 - (-3 + 2))*162/(-27). Suppose d*w + 19 - 43 = 0. Suppose 1/4*v**4 + 9/8*v**3 + 1/4 + 9/8*v + 7/4*v**w = 0. Calculate v.
-2, -1, -1/2
Let q be (-21)/15 - (-2725072)/1188855. Let m = q + -3/911. Determine r so that m*r - 10/9 + 2/9*r**2 = 0.
-5, 1
Let p(v) = 104*v**2 + 3636*v + 565. Let r(w) = -52*w**2 - 1820*w - 282. Let m(f) = -2*p(f) - 5*r(f). Factor m(h).
4*(h + 35)*(13*h + 2)
Let l(x) be the first derivative of -30*x**5 - 210*x**4 + 291*x**3/2 + 945*x**2/4 + 81*x - 2981. Suppose l(u) = 0. Calculate u.
-6, -3/10, 1
Suppose 221*u = 212*u + 36. Factor -3 + 185*n**2 - 64*n - 225*n**2 - u*n**3 + 3.
-4*n*(n + 2)*(n + 8)
Let 30228 + 21122*s + 2*s**3 + 20926*s + 6*s**3 + 578*s**2 + 11244 - 6*s**3 = 0. What is s?
-144, -1
Let b(v) = v + 46. Let l be b(-41). Suppose k + 3*g = 0, l*k = -0*k + 3*g. Determine r, given that 4/7*r**3 + 10/7*r**4 + k + 0*r - 2*r**5 + 0*r**2 = 0.
-2/7, 0, 1
Let q = -522935/4 + 130776. Factor q*p**5 + 667/4*p**3 - 1 + 16*p - 337/4*p**2 - 559/4*p**4.
(p - 1)**3*(13*p - 2)**2/4
Let a = -2111/13 + 163. Let j(z) = z**3 - 6*z**2 + 11*z - 28. Let q be j(5). Factor a + 2/13*c**q + 8/13*c.
2*(c + 2)**2/13
Let f be 1/(-7)*(-17 - (-280)/16)*0. Factor 28/5*b + f + 2/15*b**2.
2*b*(b + 42)/15
What is t in -17/5*t**3 + 92/5 + 129/5*t**2 - 1/5*t**4 - 203/5*t = 0?
-23, 1, 4
Let y be ((-69)/345)/(412/(-50)). Let m = y + 799/1030. Find g, given that -2/5*g**4 + 7/5*g**3 - 4/5*g - m*g**2 + 0 = 0.
-1/2, 0, 2
Let u(f) be the second derivative of 5*f**4/12 + 115*f**3/2 - 925*f**2 - 87*f - 11. Solve u(b) = 0.
-74, 5
Let 1/8*m**4 - 1/2*m**3 + 9/2*m - 27/8 - 3/4*m**2 = 0. Calculate m.
-3, 1, 3
Suppose 52*m + 1005*m = 0. Find p such that 3/8*p**3 + m + 9/4*p - 21/8*p**2 = 0.
0, 1, 6
Let l be ((-585)/351)/((-15)/27). Suppose 4*c**2 - 2*c**l + 0 - 2/3*c**4 + 16/3*c = 0. Calculate c.
-4, -1, 0, 2
Suppose -4*f + 70*m = 66*m - 40, -5*f + m + 18 = 0. Let u(w) be the second derivative of 0 + 30*w + 1/84*w**4 + 1/7*w**f - 1/14*w**3. Let u(a) = 0. Calculate a.
1, 2
Let d(k) be the third derivative of -k**6/72 - 4*k**5/3 - 160*k**4/3 + 13*k**3/6 + 72*k**2. Let p(h) be the first derivative of d(h). Factor p(b).
-5*(b + 16)**2
Find t such that 1/5*t**4 - 88/5*t + 0 + 134/5*t**2 - 47/5*t**3 = 0.
0, 1, 2, 44
Find t such that -16*t**2 + t**3 - 33*t**2 + 338 - 28*t**2 + t**3 + 286*t + 27*t**2 = 0.
-1, 13
Factor -3*p**3 + 369*p**2 + 25*p + 234*p + 375 + 488*p.
-3*(p - 125)*(p + 1)**2
Let u(w) be the third derivative of w**7/42 - 31*w**6/3 - 83*w**5/4 + 437*w**2. Factor u(s).
5*s**2*(s - 249)*(s + 1)
Let h = -30965 + 30967. Let z(q) be the second derivative of -2*q**4 + 0*q**h - 9/20*q**5 - 2*q**3 + 0 + 40*q. Let z(d) = 0. What is d?
-2, -2/3, 0
Let j(m) = -1023 - 310*m + 5*m**3 + 742 - 3*m**3 - 27*m**2. Let z(d) = -d**3 + 9*d**2 + 104*d + 94. Let o(r) = 2*j(r) + 7*z(r). Factor o(h).
-3*(h - 8)*(h + 1)*(h + 4)
Let b(o) = -4*o + 2*o - 5*o**2 + 11*o**2 - 2 + 1 - 5*o**2. Let x(t) = -4*t**2 - 164*t - 56. Let p(c) = -8*b(c) + x(c). Factor p(q).
-4*(q + 12)*(3*q + 1)
Let h be (-17)/(-3) + 2*(-6)/(-36). Let k(y) = -10*y + 62. Let d be k(h). Factor 8*v**2 - v**3 - 10 - 6*v**2 - 8*v**d + 2 - 12*v.
-(v + 2)**3
Suppose 2*v + c = 208, 0*v + 104 = v - c. Let d = 107 - v. Determine j so that -4*j**2 + 16*j**3 + 21*j**d - 51*j**3 - 2*j + 20*j**3 = 0.
-1/3, 0, 1
Let n(y) be the third derivative of y**5/150 - 1033*y**4/30 - 689*y**3/5 + 10*y**2 - 107*y + 1. Determine w, given that n(w) = 0.
-1, 2067
Let k be (-1)/((-2138)/(-356) + -6). Let m = 178 + k. Let -12/5*l**4 + m + 0*l**2 + 0*l + 3/5*l**5 - 3*l**3 = 0. Calculate l.
-1, 0, 5
Let g = -11 + 6. Let l(s) = 10*s**5 + 5*s**4 + 5. Suppose -d - 23 = -22. Let y(c) = -c**5 - c**4 - c**3 - 1. Let j(k) = d*l(k) + g*y(k). Factor j(o).
-5*o**3*(o - 1)*(o + 1)
Let u(b) = b**3 - 5*b**2 - 5*b - 20. Let a be u(6). Let q be (-9)/12*a/42. Find r such that q*r**2 - 1/4*r**4 + 0 - 1/4*r**3 + 0*r + 1/4*r**5 = 0.
-1, 0, 1
Let u = -21029 + 21033. Let a(d) be the second derivative of 0*d**2 + 0*d**u + 0 - 1/30*d**6 + 3/20*d**5 + d - 2/3*d**3. What is s in a(s) = 0?
-1, 0, 2
Let b = -4427 + 4438. Let m(r) be the second derivative of 23/10*r**5 - 7/15*r**6 + 0 + 13/3*r**3 - 2*r**2 - 9/2*r**4 + b*r. Determine t so that m(t) = 0.
2/7, 1
Let p(f) be the second derivative of -f**6/40 + 17*f**5/10 - 289*f**4/8 + 48*f**2 - f - 39. Let i(z) be the first derivative of p(z). Factor i(v).
-3*v*(v - 17)**2
Suppose -13 = -8*x + 19. Determine y so that x + 9*y + 7*y**3 - 9*y + 10*y + 23*y**2 + 10*y = 0.
-2, -1, -2/7
Suppose -17294 = 3*t - 4*t. Solve 360*k - 50*k**3 - 60*k**2 + t - 17294 - 5*k**4 = 0 for k.
-6, 0, 2
Let r(c) be the third derivative of c**7/630 + c**6/9 + 23*c**5/60 - 131*c**4/36 + 76*c**3/9 - 520*c**2. Suppose r(n) = 0. Calculate n.
-38, -4, 1
Suppose -15 = -3*v - 2*t, -3*v - t + 0 = -12. Determine s so that -4*s**v - 105*s**5 + 36*s**5 + 32*s - 16*s**2 - 16 + 37*s**5 + 31*s**5 + 5*s**4 = 0.
-2, 1, 2
Let q be (12/102)/(49/686). Suppose -26/17*y + 2/17*y**2 - q = 0. What is y?
-1, 14
Factor -1074528*b + 5366088/5 + 6554/5*b**2 - 2/5*b**3.
-2*(b - 1638)**2*(b - 1)/5
Let j be 164/80 + 3210/(-200) + 16. Let c(k) be the second derivative of -1/36*k**6 + 0 + 8*k - 1/30*k**5 - 1/252*k**7 + 0*k**4 + 0*k**3 + 0*k**j. Facto