f v(s). Factor o(g).
-2*g*(g - 1)*(g + 3)/3
Factor 1/3 - 17/6*k**2 + 3/2*k + k**3.
(k - 2)*(k - 1)*(6*k + 1)/6
Let p = 646 + -2358. Let z be p/(-102) - 68/578. Factor -80/3*x + z + 32/3*x**2.
2*(4*x - 5)**2/3
Let j = -55 - -59. Let 15*c**2 - c**3 - 3*c**4 - 16*c**2 - c**3 + 2*c**j = 0. Calculate c.
-1, 0
Let d(l) = 2*l**2 - 5 + 11*l + 13 - 6*l. Let j be d(-3). Solve 9*w**2 - 12 - j*w**3 + 4*w + 3*w**4 - w**3 + 5*w + 3*w = 0 for w.
-1, 1, 2
Suppose 5*r + 5*z = 15, r - 5*r = 3*z - 11. Find o such that -13*o + 18*o**3 + 4*o**4 + 8*o - 12 + 12*o**r - 17*o = 0.
-3, -2, -1/2, 1
Let r = -1773 - -1773. Let v(w) be the first derivative of -5 - 2/3*w**3 + r*w + 1/2*w**2 + 1/4*w**4. Factor v(q).
q*(q - 1)**2
Let p = 6651087/187354 + -10/93677. Factor -1/4*u**2 - 5041/4 - p*u.
-(u + 71)**2/4
Let v(x) = -14*x**4 + 30*x**3 - 16*x**2 - 10*x + 10. Let t(z) = z**4 - z**3 + z - 1. Let s = 197 - 207. Let b(a) = s*t(a) - v(a). Determine j so that b(j) = 0.
0, 1, 4
Let v(s) be the third derivative of -36*s**2 + 1/525*s**7 - 1/50*s**6 + 4/15*s**3 - 1/5*s**4 + 0 + 13/150*s**5 + 0*s. Factor v(d).
2*(d - 2)**2*(d - 1)**2/5
Suppose 2*q - 2 = 3*p - 16, -3*p = -3*q - 15. Suppose -l = -3*l + p, -887 = -3*o - l. Factor 0*b**2 - 18*b**4 + o*b**5 - 8*b**2 + 29*b**5 - 56*b**3.
2*b**2*(2*b - 1)*(9*b + 2)**2
Factor -452/11 - 450/11*a + 2/11*a**2.
2*(a - 226)*(a + 1)/11
Let r(d) be the first derivative of -2*d - 1 + 1/5*d**5 + 3/2*d**2 - 3/4*d**4 + 1/3*d**3. Factor r(b).
(b - 2)*(b - 1)**2*(b + 1)
Let t(c) be the second derivative of 5*c**6/16 + 87*c**5/160 - 3*c**4 - 29*c**3/4 - 3*c**2 - 3640*c. Find i such that t(i) = 0.
-2, -1, -4/25, 2
Determine t so that 278*t + 85*t - 432 + 193*t + 7*t**2 - 70*t**2 + 4*t**3 - 65*t**2 = 0.
1, 4, 27
Factor -1551/2 + 1/2*l**2 - 257*l.
(l - 517)*(l + 3)/2
Let o(n) be the first derivative of -3*n**6 + 4*n**5 + 35*n**4/2 - 80*n**3/3 + 4*n**2 - 71. Find a, given that o(a) = 0.
-2, 0, 1/9, 1, 2
Let f(s) be the third derivative of -s**7/2520 - s**6/720 + 5*s**4/12 - s**3/2 + 2*s**2 - 4*s. Let n(p) be the second derivative of f(p). Solve n(b) = 0.
-1, 0
Let h = -1 - 39. Let r be (-51)/(-9) - h/(-24). Let q(u) = 7*u**4 + 16*u**3 + 33*u**2 + 20*u + 4. Let n(c) = c**4 + c**2. Let g(m) = r*n(m) - q(m). Factor g(j).
-(j + 1)*(j + 2)**2*(3*j + 1)
Let r(t) = -128*t**2 - 687*t - 2639. Let k(h) = 18*h**2 + 3*h + 1. Let o(b) = 7*k(b) + r(b). Factor o(p).
-2*(p + 4)*(p + 329)
Let s = -40 - -43. Factor -7*l + s*l**2 + 52*l**2 - 21*l + 2 + 43*l**2.
2*(7*l - 1)**2
Let i(r) = 10*r**4 + 10*r**3 + 35*r**2 - 55*r. Let o(m) = -m**4 - m**3 - 2*m**2 + 4*m. Let l(g) = i(g) + 15*o(g). Find k such that l(k) = 0.
-1, 0, 1
Let y = 5275615/639468 + -1/159867. Factor 27/4 + y*w**2 - 3/4*w**3 - 57/4*w.
-3*(w - 9)*(w - 1)**2/4
Let y = -434127 + 7380231/17. Determine r, given that -26/17*r - 4/17 - y*r**4 - 8/17*r**2 + 110/17*r**3 = 0.
-1/4, -2/9, 1
Let a(z) be the third derivative of z**7/630 + z**6/180 - 11*z**5/36 + 11*z**4/9 + 8*z**3 - 3*z**2 + 2*z. Factor a(f).
(f - 4)**2*(f + 1)*(f + 9)/3
Let m(z) be the first derivative of z**4/10 - 86*z**3/15 + 104*z**2 - 480*z + 6572. Solve m(g) = 0 for g.
3, 20
Let x(f) = -f**2 - 2*f - 1. Let y(i) be the second derivative of 5*i**4/12 + 4*i**3/3 + 3*i**2/2 + i - 28. Let j(c) = 22*x(c) + 6*y(c). Factor j(m).
4*(m + 1)*(2*m - 1)
Let m(x) = 15*x**2 + 270*x - 175. Let c(f) = -13*f**2 - 270*f + 140. Let i(t) = 5*c(t) + 4*m(t). Factor i(a).
-5*a*(a + 54)
Suppose w = 5*w - x - 136, 0 = 4*w + x - 120. Let c(i) be the first derivative of -4 + 1/2*i**4 + 768*i**2 - 8192*i - w*i**3. Factor c(r).
2*(r - 16)**3
Let i be 5/(60/906) + (-1)/2. Determine l, given that 288*l**2 - 1365*l + 490 - 6*l**3 - 18*l**3 - 3*l**2 - l**3 + i*l**2 = 0.
2/5, 7
Let v(j) = 2*j**2 - 25*j - 16. Let o be 7 - (-18)/(-2 - 4). Let s(q) = q**2 - 8*q - 5. Let z(y) = o*v(y) - 11*s(y). Factor z(x).
-3*(x + 1)*(x + 3)
Let f(h) be the second derivative of -1/42*h**7 - 4/9*h**4 + 0*h**3 + 11*h + 1 + 0*h**2 - 14/15*h**5 - 5/18*h**6. What is c in f(c) = 0?
-4, -1/3, 0
Suppose -8780/11*z - 2/11*z**2 - 9636050/11 = 0. What is z?
-2195
Factor -2/3*z**2 + 200 - 296/3*z.
-2*(z - 2)*(z + 150)/3
Let i = -5088 - -5093. Let c(u) be the third derivative of 0*u**3 + 3/32*u**4 - 7/40*u**i + 5/96*u**6 + 0 - u**2 + 0*u - 1/210*u**7. Factor c(n).
-n*(n - 3)**2*(4*n - 1)/4
Let k(f) be the first derivative of f**5/15 + 2*f**4/3 - 26*f**3/3 - 88*f**2/3 - 91*f/3 - 738. Determine p, given that k(p) = 0.
-13, -1, 7
Let g be 665/57 - (-11)/33. Let y(j) be the first derivative of -35/4*j**4 + 0*j + 15*j**3 - g - 5*j**2. Suppose y(h) = 0. Calculate h.
0, 2/7, 1
Let h be ((-25)/15 - -2)/(2/18). Let g(d) = -d + 15. Let z be g(12). Let 81*l**z + 16*l - 21*l**2 - 31*l**3 - 41*l**h - 1 - 3 = 0. Calculate l.
2/3, 1
Factor -1/2*x**2 + 182 + 87/2*x.
-(x - 91)*(x + 4)/2
Let m(q) = -q**3 - 22*q**2 + 111*q + 184. Let n be m(-26). Let g(c) be the first derivative of -33/2*c**n - 363/2*c - 23 - 1/2*c**3. Factor g(y).
-3*(y + 11)**2/2
Let d be ((-16)/(-24))/(2/102). Suppose 4*z - f = 11, -3*z = 2*f + 3*f - 37. Determine a so that -36*a**z - 20*a + 20*a**3 + d*a**4 + 62 - 48*a**2 - 12 = 0.
-1, 1, 5
Let q(d) be the third derivative of d**5/60 - 551*d**4/24 + 183*d**3 + 5*d**2 - d - 74. Factor q(h).
(h - 549)*(h - 2)
Let u = 501 - 190. Let m = u - 311. Factor m + 1/5*g - 3/5*g**2.
-g*(3*g - 1)/5
Let n(g) be the first derivative of -g**5/390 + g**4/26 + 7*g**3/39 + 28*g**2 - 35. Let i(q) be the second derivative of n(q). What is t in i(t) = 0?
-1, 7
Let m(r) = r**3 - r**2 - r + 3. Let k be m(0). Suppose -3*z + 2*j + 3*j = -32, -z - 16 = 5*j. Solve 12*u - k*u**z - 12*u = 0 for u.
0
Let d = -1237/323 - -75/19. Let n(b) = b**3 + 9*b**2 - 10*b + 3. Let y be n(-10). Determine p so that -6/17 + 2/17*p**y + 6/17*p**2 - d*p = 0.
-3, -1, 1
Let i(l) be the second derivative of -l**5/40 - 37*l**4/24 - 71*l**3/12 - 35*l**2/4 + 81*l + 4. Suppose i(j) = 0. Calculate j.
-35, -1
Let j = -137 + 140. Let y(s) = -7*s**3 + 4*s**2 + 4. Let f(l) = -6*l**3 + 3*l**2 + 3. Let w be 15/(-6)*16/10. Let v(n) = j*y(n) + w*f(n). Factor v(a).
3*a**3
Factor -361*b**5 + 138*b**5 + 44*b**3 + 113*b**5 + 16*b**4 + 20*b**2 + 114*b**5 + 12*b**4.
4*b**2*(b + 1)**2*(b + 5)
Let j(w) be the first derivative of 2*w**2 + 49 + 2*w + 2/3*w**3. Let j(b) = 0. Calculate b.
-1
Let w be 12 + (-5 - 0) - 5. Factor -5*q**2 + q - 391*q**3 + 394*q**3 - 4*q**w + 5*q.
3*q*(q - 2)*(q - 1)
Let g(t) be the first derivative of t**8/560 - t**7/280 - 7*t**6/60 + 3*t**5/5 - 125*t**3/3 + 153. Let p(s) be the third derivative of g(s). Factor p(u).
3*u*(u - 3)*(u - 2)*(u + 4)
Let d(g) be the first derivative of -224*g**3/3 + 122*g**2 + 88*g + 250. Suppose d(m) = 0. What is m?
-2/7, 11/8
Let i = 77 + -75. Factor 2944 + i*d**3 - 2944.
2*d**3
What is i in -1888557 + 45*i**2 - 2065155 - 1955*i - 3057*i - 1876*i - 48*i**2 = 0?
-1148
Let v(d) be the second derivative of 0*d**4 + 0 + 0*d**2 + 0*d**3 + 5/252*d**7 - 87*d + 3/8*d**5 + 1/6*d**6. What is w in v(w) = 0?
-3, 0
Let a(b) = -74*b + 29. Suppose 2*v + 5 = v - f, -5*v + 4*f - 7 = 0. Let g be a(v). Factor -g*z**3 + 4*z + 123*z**3 + 127*z**3.
-z*(z - 2)*(z + 2)
Suppose 2*u + 5 + 7 = -3*t, 4*u - 4*t = 16. Let -5*p**2 - 13*p - 2*p + 0*p + u*p = 0. What is p?
-3, 0
Let b(a) = -21*a - 1. Let r(f) = 3*f**2 - 72*f + 189. Let z(d) = 6*b(d) - r(d). Solve z(j) = 0.
-13, -5
Let s(y) = -1144*y + 21740. Let a be s(19). Factor 0*r**2 + 0*r + 6/7*r**a + 0*r**3 + 0 + 3/7*r**5.
3*r**4*(r + 2)/7
Let k(q) be the third derivative of -5/8*q**4 + 0*q**3 + 0*q + 3/20*q**5 - 136*q**2 + 0. Factor k(z).
3*z*(3*z - 5)
Determine j, given that -2477*j + 2*j**4 + 25*j**3 + 2477*j + j**5 + 24*j**4 = 0.
-25, -1, 0
Let h(g) = -3*g**2 - 12*g - 1. Let j be h(-5). Let d = -12 - j. Determine p so that 35 - 35 + 15*p**3 - d*p**2 + 5*p**4 + 5*p + 19*p**2 = 0.
-1, 0
Let h(y) be the third derivative of 4 - y**2 + 1/12*y**6 - 23/180*y**5 + 1/70*y**7 + 0*y**3 + 0*y + 1/18*y**4. Factor h(i).
i*(i + 4)*(3*i - 1)**2/3
Let o(l) be the third derivative of l**5/660 + 5*l**4/66 + 14*l**3/11 + 270*l**2 - l. Factor o(f).
(f + 6)*(f + 14)/11
Let p(g) = 7*g**3 - 4015*g**2 - 8823*g - 1582. Let y(r) = -4*r**3 + 2006*r**2 + 4412*r + 792. Let h(q) = -6*p(q) - 13*y(q). Let h(m) = 0. Calculate m.
-2,