2*g**4 + 0*g**4 - g**j + g**3 + 0*g**3.
g**3*(g + 1)
Let h(i) be the third derivative of -i**9/40320 - i**8/13440 + i**5/3 + 32*i**2. Let r(p) be the third derivative of h(p). Determine u so that r(u) = 0.
-1, 0
Let u = -2071/5 - -415. Factor 2/5*i**4 + 0 + u*i**3 + 2/5*i**2 + 0*i.
2*i**2*(i + 1)**2/5
Let w(z) be the second derivative of z**5/35 + z**4/21 - 32*z**3/21 + 40*z**2/7 - 203*z. Factor w(m).
4*(m - 2)**2*(m + 5)/7
Suppose -29*u + 9*u = 0. Let n(t) be the first derivative of 1/2*t**2 - 3 + u*t - 5/3*t**3 + t**4. Factor n(i).
i*(i - 1)*(4*i - 1)
Let o(y) be the first derivative of -20*y - 8 - 5/3*y**3 - 10*y**2. Find b such that o(b) = 0.
-2
Let x = 33 + -31. Factor -19*u + 4*u**3 - 2*u**x + 10*u**2 + 7*u.
4*u*(u - 1)*(u + 3)
Factor -43/2*d + 15/2 + 1/2*d**5 - 5/2*d**4 + 19*d**2 - 3*d**3.
(d - 5)*(d - 1)**3*(d + 3)/2
Let a = -15 - -18. Suppose 9*n**4 - 4*n**4 + 15*n**3 - 11*n - a*n + 19*n + 15*n**2 = 0. Calculate n.
-1, 0
Let 1/4*k**3 + 35/4*k + 13/4*k**2 - 49/4 = 0. What is k?
-7, 1
Let y(i) = 2*i**2 - 19*i + 19. Let p be y(8). Let r(v) = -v**2 - 6*v - 3. Let s be r(p). Suppose 1/2*g - 1 + 1/2*g**s = 0. What is g?
-2, 1
Let x(h) be the third derivative of h**7/140 - 13*h**6/180 + 4*h**5/15 - h**4/3 - 4*h**3/9 - h**2 + 4*h. Solve x(g) = 0 for g.
-2/9, 2
Suppose 2*c - 7*c + 3 = 3*s, 3*c = s + 13. Let 1/3*i - 1/6*i**2 + 1/6 - 1/3*i**c = 0. Calculate i.
-1, -1/2, 1
Let o(q) be the first derivative of q**4/4 + q**3/3 - 7*q**2/2 - 3*q + 33. Let h be o(-3). Factor 2/7*g - 2/7*g**3 - 2/7*g**2 + h + 2/7*g**4.
2*g*(g - 1)**2*(g + 1)/7
Factor -135*i**3 + 5*i**5 - 381*i**2 - 270*i - 157*i**2 + 5*i**4 + 133*i**2 + 0*i.
5*i*(i - 6)*(i + 1)*(i + 3)**2
Let -124*a**4 + 240*a - 236*a**2 + 3600 + 20*a**4 + 108*a**4 - 8*a**3 = 0. Calculate a.
-5, 6
Let p(s) = -5*s**2 + 17*s - 15. Let b(a) = 4*a**2 - 16*a + 16. Let r(u) = -4*b(u) - 3*p(u). Let k be r(11). Factor -16/3*i - 8/9 + 98/9*i**k - 14/3*i**2.
2*(i - 1)*(7*i + 2)**2/9
Suppose 0 = -13*u - 0*u. Let p(m) be the second derivative of -1/36*m**4 - 1/120*m**5 + u*m**2 + 0 - 5*m - 1/36*m**3. Factor p(f).
-f*(f + 1)**2/6
Let u(w) = 3*w - 2. Let r be u(2). Let v be (-64)/(-22) + 30/330. Suppose d**r - 7/3*d**2 + 2/3*d + 2/3*d**v + 0 = 0. What is d?
-2, 0, 1/3, 1
Let p(k) be the second derivative of 0*k**3 + 0 + 1/6*k**6 - 1/4*k**5 + 0*k**4 - 4*k + 0*k**2. Factor p(l).
5*l**3*(l - 1)
Let l be 130 + -107 + (-86)/4. Find f such that 0 + l*f**3 + 1/4*f**2 + 0*f + 9/4*f**4 = 0.
-1/3, 0
Let -4*g**2 - 11*g**2 - 3*g**3 - 19*g - 27*g**2 + 6*g**2 - 54 - 68*g = 0. Calculate g.
-9, -2, -1
Let v(f) be the first derivative of -f**4/12 - 4*f**3/9 - f**2/2 - 159. Suppose v(d) = 0. Calculate d.
-3, -1, 0
Let t(i) be the third derivative of -i**5/180 + i**4/72 - 282*i**2. Find m, given that t(m) = 0.
0, 1
Let s = 21283/13 + -1637. Let i = -2377/13 - -183. Factor 0 - s*k**4 + 2/13*k**5 - i*k**3 + 2/13*k**2 + 0*k.
2*k**2*(k - 1)**2*(k + 1)/13
Let c(g) be the first derivative of -g**6/33 - 8*g**5/55 - 5*g**4/22 - 4*g**3/33 - 82. Factor c(i).
-2*i**2*(i + 1)**2*(i + 2)/11
Let t be 546/(-84)*24/(-52). Let i(m) be the first derivative of 0*m + 0*m**2 + 2 + 2*m**5 - 5/3*m**t + 5/4*m**4. Solve i(s) = 0.
-1, 0, 1/2
Let o(h) = 2344*h**2 - 772*h + 100. Let r(t) = 335*t**2 - 110*t + 14. Let a(p) = -6*o(p) + 44*r(p). Determine d, given that a(d) = 0.
2/13
Let o(k) be the third derivative of -15*k**2 + 0*k - 1/180*k**5 - 1/24*k**4 + 0 - 1/9*k**3. Factor o(u).
-(u + 1)*(u + 2)/3
Let f(l) be the first derivative of 10*l - 25/4*l**4 + l**5 - 35/2*l**2 + 15*l**3 + 17. Factor f(k).
5*(k - 2)*(k - 1)**3
Let t(l) be the third derivative of -l**5/30 + l**4/2 - 59*l**2. What is r in t(r) = 0?
0, 6
Factor -19*z - 26*z + 18*z - 58*z - 87*z + 2*z**2 - 174.
2*(z - 87)*(z + 1)
Suppose -4 = 2*s - 4*f, 7*f - 3*f = -s + 4. Factor s*b - 244*b**2 + 2*b + 245*b**2.
b*(b + 2)
Let b(q) = 2 + 0 + 10 + q. Let d be b(-11). Factor d - 3 - h - 3*h**3 + 4*h**3 - 4*h**2 + 6*h.
(h - 2)*(h - 1)**2
Let b(a) = -a**2 - 39*a - 11. Let f(x) = -x**2 - 19*x - 6. Let l(u) = -4*b(u) + 9*f(u). Find k such that l(k) = 0.
-2, -1
Let q(k) be the second derivative of -3*k**5/160 + 7*k**4/32 - 11*k**3/16 + 15*k**2/16 + 10*k. Let q(n) = 0. What is n?
1, 5
Let r(d) be the first derivative of 2*d**5/45 + d**4 + 122*d**3/27 - 20*d**2 + 200*d/9 - 57. Factor r(b).
2*(b - 1)**2*(b + 10)**2/9
Let o(c) be the second derivative of -6*c**7/7 + 22*c**6/15 + 5*c**5 - 17*c**4 + 56*c**3/3 - 8*c**2 - 88*c. Determine l so that o(l) = 0.
-2, 2/9, 1
Suppose 23*v - 1330 = 280. Let n be (-1)/15*v/(-35). Factor -4/15 - 2/5*k - n*k**2.
-2*(k + 1)*(k + 2)/15
Factor 2/11*s**2 + 52/11 - 30/11*s.
2*(s - 13)*(s - 2)/11
Let c(k) = 8 + 4*k - 3 - k - 6*k + k**2. Let f be c(2). Solve 0*y**2 + 3/4*y - 1/4*y**f - 1/2 = 0.
-2, 1
Let i(k) be the second derivative of 1/4*k**6 - 3/5*k**5 + 0*k**3 - 7*k + 1/2*k**4 + 0 + 0*k**2 - 1/28*k**7. Let i(p) = 0. What is p?
0, 1, 2
Let c(p) be the second derivative of 1/120*p**4 + 0*p**5 - 1/600*p**6 + 5/2*p**2 - 5*p + 0 + 0*p**3. Let h(f) be the first derivative of c(f). Factor h(i).
-i*(i - 1)*(i + 1)/5
Find n such that 3/2*n + 33/4*n**2 + 0 - 45/4*n**3 - 33/4*n**4 + 39/4*n**5 = 0.
-1, -2/13, 0, 1
Solve 18*l**2 + 2*l - 225*l**2 - 83*l - 4*l - 17*l - 6*l**3 = 0 for l.
-34, -1/2, 0
Let n be 82/(-20) - -1 - ((-8778)/76)/33. Factor 1/5*k + 1/5*k**2 - n.
(k - 1)*(k + 2)/5
Determine x, given that -110*x + 2*x - 9*x**2 + 28*x**2 + 254 - 62 - x**3 - 4*x = 0.
3, 8
Let i(c) = -11*c**2 + 440*c - 9674. Let k(u) = -155*u**2 + 6160*u - 135435. Let s(m) = 85*i(m) - 6*k(m). Solve s(j) = 0 for j.
44
Let l = -199 + 214. Suppose l*a = 19*a - 12. Factor 2/11*n**a - 2/11 + 6/11*n - 6/11*n**2.
2*(n - 1)**3/11
Factor v**2 - 37*v + 0 - 4 + 41*v - 8.
(v - 2)*(v + 6)
Factor 0 - 2/5*l**4 + 8/5*l**2 - 4/5*l**3 + 16/5*l.
-2*l*(l - 2)*(l + 2)**2/5
Suppose 7*b + 2 = -5*l, -3*b = 80*l - 78*l + 1. Factor -4*o - 5/4*o**2 - l + 25/4*o**3.
(o - 1)*(5*o + 2)**2/4
Let k(v) be the third derivative of 1/15*v**5 + 0 + 0*v + v**2 + 2/3*v**3 - 1/3*v**4. Factor k(r).
4*(r - 1)**2
Let j(l) be the first derivative of 7 - 13/9*l**3 - 1/4*l**4 + 5/3*l + 11/6*l**2. Let j(v) = 0. What is v?
-5, -1/3, 1
Determine f, given that -10/7*f**3 - 8/21*f**4 - 32/21*f**2 - 2/7*f + 4/21 = 0.
-2, -1, 1/4
Let a(d) be the second derivative of -d**6/60 - d**5/4 - 11*d**4/8 - 10*d**3/3 - 4*d**2 - 2*d + 15. Let a(u) = 0. Calculate u.
-4, -1
Let m = -49 + 155/3. Factor 1/3*v**2 + m*v + 16/3.
(v + 4)**2/3
Let c = 505/309 - -10/309. Suppose c*p + 4/3 + 1/3*p**2 = 0. Calculate p.
-4, -1
Let y(t) be the second derivative of -5*t**3/6 + 31*t**2 - 4*t - 8. Let d be y(12). Determine m, given that 0*m - 1/4*m**3 + 3/4*m**4 + 0 - 1/2*m**d = 0.
-2/3, 0, 1
Let k = -351/2 - -186. Let n(z) be the first derivative of 5 + 5*z**3 - k*z**2 + 6*z. What is h in n(h) = 0?
2/5, 1
Let y(u) be the first derivative of -7*u**6/10 + 153*u**5/20 - 14*u**4 + 6*u**3 - 22*u - 19. Let k(x) be the first derivative of y(x). Factor k(j).
-3*j*(j - 6)*(j - 1)*(7*j - 2)
Find y, given that -121*y - 119*y**2 + 334*y**2 + 26*y - 225*y**4 - 1 - 29 + 615*y**3 = 0.
-1/3, 2/5, 3
Find p such that 0 + 4/5*p + 6/5*p**2 - 6/5*p**4 - 2/5*p**3 - 2/5*p**5 = 0.
-2, -1, 0, 1
Let u(x) be the second derivative of -x**4/4 - 5*x**3/2 - 6*x**2 + 2*x - 176. Let u(a) = 0. What is a?
-4, -1
Let p(z) be the first derivative of 4/5*z**5 + 3*z**4 + 17 - 4/3*z**3 - 6*z**2 + 0*z. Factor p(x).
4*x*(x - 1)*(x + 1)*(x + 3)
Let h = 2286 - 2282. Solve 0*t**3 - 2/3*t**h + 0 + 0*t + 2/3*t**2 = 0 for t.
-1, 0, 1
Let d be (-29 + 24 - (-172)/25) + 20/(-250). Factor -1/5*x**4 + 4/5 + d*x**2 - 1/5*x**3 - 11/5*x.
-(x - 1)**3*(x + 4)/5
Let u(g) = 3*g**3 - 19*g**2 + 50*g - 36. Let r(i) = -6*i**3 + 37*i**2 - 101*i + 72. Let v(h) = 2*r(h) + 5*u(h). Let v(k) = 0. What is k?
2, 3
Let m be (0*(-6)/48)/7. Let k(i) be the third derivative of 0*i + m*i**3 - 1/12*i**4 + 0 - 7*i**2 + 1/60*i**5. Determine h so that k(h) = 0.
0, 2
Let m(k) be the third derivative of -2*k**2 - 1/60*k**6 + 0 + k**3 + 1/4*k**4 + 0*k + 3/40*k**5. Let v(l) be the first derivative of m(l). Solve v(t) = 0.
-1/2, 2
Let v(t) be the third derivative of -7/180*t**6 + 1/45*t**4 + 0 + 17/450*t**5 - 4/45*t**3 + 33*t**2 + 0*t - 1/504*t**8 + 23/1575*t**7. Let v(l) 