- 7*t/4 + 38. Factor r(n).
-(n - 14)*(n + 1)*(3*n - 1)/8
Let g(o) be the first derivative of 32/3*o**3 + 8*o**2 - 2/3*o**6 - 8/5*o**5 + 3*o**4 - 13 + 0*o. Solve g(x) = 0 for x.
-2, -1, 0, 2
Let h(a) be the first derivative of -a**3/3 + 5*a**2/2 - 3*a - 2. Let k be h(3). Suppose -4*z**4 - 3*z**3 - 4*z + 6*z**k + 2 + 2*z**4 + z**3 = 0. What is z?
-1, 1
Let c(q) be the first derivative of 17*q**3/3 - 9*q**2 + q - 275. Factor c(i).
(i - 1)*(17*i - 1)
Let u(c) be the third derivative of -c**7/70 + 9*c**6/40 - 9*c**5/10 + 43*c**2. Factor u(p).
-3*p**2*(p - 6)*(p - 3)
Let r be ((-544)/(-40224))/((-1 + 0)/(-394)). Let h = r + 2/419. Determine o, given that 10/3*o**2 - 8/3 + h*o = 0.
-2, 2/5
Let z = 46 + -40. Let a be 4/(-3) - (-10)/z. Let a*p**2 - p + 2/3 = 0. Calculate p.
1, 2
Suppose 2*u - 82 = 4*m, u - 107 = 8*m - 3*m. Let t be (m + -2)*4/(-40). Let t*l + 4/5 - 196/5*l**3 - 63/5*l**2 = 0. What is l?
-2/7, 1/4
Let 8/3*y**2 - 28*y - 44/3 = 0. What is y?
-1/2, 11
Let t(g) be the third derivative of -g**5/4 + g**4 + 2*g**3 - 254*g**2. Factor t(m).
-3*(m - 2)*(5*m + 2)
Determine s, given that -2/3*s**3 - 8/3 + 2/3*s**2 + 8/3*s = 0.
-2, 1, 2
Let y(i) = -7*i - 170 + 170 + i**3 + 9*i**2. Let v be y(-8). Suppose 0*g - v*g**2 + 105*g**2 + 6*g + 6*g**3 = 0. What is g?
0, 1/2, 2
Let u = -9 - -12. Suppose 9*t = 3*x + 4*t - 24, u = 3*x + 2*t. Suppose 8*m**x + 8*m**3 - 19*m**3 - 3*m**4 = 0. Calculate m.
-1, 0
Let t = 317 - 183. Let w = -134 + t. Solve w - 2/5*g**2 - 4/5*g = 0.
-2, 0
Let n(p) = p**3 - 17*p**2 + 15*p + 16. Let z be n(16). Suppose z = -23*q + 15*q. Factor d**2 + 1/3*d**3 + 2/3*d + q.
d*(d + 1)*(d + 2)/3
Let v(q) = -q**2 + 2*q + 5. Let a be v(0). Solve -4*x + 4*x - x**2 - 2*x + a*x = 0 for x.
0, 3
Factor -90 + 605/2*r**2 + 35/2*r**3 - 230*r.
5*(r - 1)*(r + 18)*(7*r + 2)/2
Suppose -2/13*h**2 + 0 + 2/13*h = 0. Calculate h.
0, 1
Let b(h) be the second derivative of h**7/504 - h**6/144 - h**4/4 + 17*h. Let s(t) be the third derivative of b(t). Let s(n) = 0. What is n?
0, 1
Suppose -200/9 - 122/9*u**2 + 40*u - 4*u**3 - 2/9*u**4 = 0. What is u?
-10, 1
Let k = 18 - 11. Let g = 9 - k. Suppose -d - d + d - d**g = 0. Calculate d.
-1, 0
Let s(g) = 22*g**2 + 53*g - 29. Let a(h) = 22*h**2 + 52*h - 30. Let q(f) = 5*a(f) - 6*s(f). Factor q(z).
-2*(z + 3)*(11*z - 4)
Let j be 14/(-147)*-3 + (-152)/(-56). Let p(c) be the third derivative of 0*c - 1/3*c**4 + 1/30*c**6 - 7*c**2 - 1/15*c**5 + 0 + 0*c**j. Factor p(o).
4*o*(o - 2)*(o + 1)
Let y(v) = v**3 + 11*v**2 + 8*v. Let l be y(-7). Let r = l + -5. Solve -5*i**4 + r - 145 + 14*i**2 + i**2 + 5*i**3 - 5*i = 0.
-1, 1, 2
Let u(n) = -n**3 - 18*n**2 - 23*n + 8. Let h be u(-17). Let l be (-4)/(-5) - (-132)/h. Let -4/3*p + p**l - 1/3*p**4 + 2/3*p**3 - 4/3 = 0. Calculate p.
-1, 2
Solve 2/3*i**5 + 40/3 - 4/3*i**4 + 124/3*i**2 - 40/3*i**3 - 122/3*i = 0 for i.
-5, 1, 4
Let u be 1/((-15)/12 + 1). Let m be 2/1 - (3 + u). Factor 0*a + 0*a**4 - a**m - 1 + 3*a**2 + a - 1 - a**4.
-(a - 1)**2*(a + 1)*(a + 2)
What is o in -39/2*o**2 - 43/4*o**3 + 0 + 18*o - 3/4*o**4 = 0?
-12, -3, 0, 2/3
Let u be (-95)/75*3 - -4. Let r(i) be the first derivative of 7 - u*i**4 + 0*i**2 - 2/15*i**3 - 2/25*i**5 + 0*i. Solve r(y) = 0.
-1, 0
Suppose 2/3*q**2 + 0 - 104/3*q = 0. What is q?
0, 52
Let y = -8690/3 + 165116/57. Factor -y*j**3 + 0*j + 0*j**2 + 2/19*j**4 + 0.
2*j**3*(j - 1)/19
Let v(k) be the second derivative of 1/15*k**4 + 1/75*k**6 + 0*k**2 + 0 + 24*k + 0*k**3 + 3/50*k**5. Factor v(q).
2*q**2*(q + 1)*(q + 2)/5
Suppose 10*a + 35*a**3 + 282 - 282 - 45*a**2 - 45*a**5 + 45*a**4 = 0. What is a?
-1, 0, 1/3, 2/3, 1
What is h in -4/3*h**2 - 20/3*h - 25/3 = 0?
-5/2
Suppose -49 = -4*r + 3*q + 2*q, 5*q + 55 = 5*r. Suppose -r = -2*c - 4. Factor c + 5*n - 1 + 3*n**3 + 6*n**2 - 2*n.
3*n*(n + 1)**2
Let c(j) = 15*j**5 - 20*j**4 + 40*j**3 + 40*j. Let n(l) = l**5 - l**3 + 2*l. Let r(f) = -c(f) + 20*n(f). Factor r(y).
5*y**3*(y - 2)*(y + 6)
Let o be 189/((-2)/(-1 + -1)). Let p be ((-2)/(-5))/(o/45 + -4). Factor 3/2*i**p + 2*i + 1/2.
(i + 1)*(3*i + 1)/2
Let q(x) = 13*x**4 - 12*x**3 - 19*x**2 + 35*x + 29. Let v(u) = -2*u**4 + 2*u**2 - u - 1. Let c(l) = -q(l) - 5*v(l). Let c(o) = 0. Calculate o.
-1, 2, 4
Let v(h) be the third derivative of h**7/1680 - h**6/240 + h**5/120 + 17*h**3/6 + 22*h**2. Let m(l) be the first derivative of v(l). Factor m(s).
s*(s - 2)*(s - 1)/2
Let w be (-2)/2 + 2 - -15. Suppose w = 4*c - 20. Factor c*r**3 + 3*r**4 - 8*r - r**4 + 6*r**2 - r**3 - 8.
2*(r - 1)*(r + 1)*(r + 2)**2
Let v be 2/(-4)*(-1080)/3. Let l(d) = -d**3 - 18*d**2 + 35. Let u be l(-18). Find a, given that u - 24*a**3 - 289*a + 340 + v*a**2 - 161*a = 0.
5/2
Let m(r) be the second derivative of 2/21*r**3 + 0*r**4 - 1/35*r**5 + 1/105*r**6 - 9*r + 0 - 1/7*r**2. Factor m(a).
2*(a - 1)**3*(a + 1)/7
Let q(t) be the first derivative of 6 + 1/5*t**4 + 4/5*t**3 - 4/15*t**6 + 0*t + 2/5*t**2 - 12/25*t**5. Determine x, given that q(x) = 0.
-1, -1/2, 0, 1
Let u(i) = 2*i**3 - 52*i**2 - 66*i. Let k(n) = n**3 - 51*n**2 - 61*n. Let w(h) = -4*k(h) + 3*u(h). Factor w(g).
2*g*(g + 1)*(g + 23)
Let l(i) be the third derivative of 4*i**7/105 + i**6/10 - i**5/15 - i**4/2 - 2*i**3/3 + 53*i**2 - i. Factor l(u).
4*(u - 1)*(u + 1)**2*(2*u + 1)
Let y(z) be the second derivative of z**5/4 - 5*z**4/3 - 35*z**3/2 - 143*z. Factor y(g).
5*g*(g - 7)*(g + 3)
Let s = 1264 - 1260. Suppose -g + 3*z = 12 - 0, -5*g = 2*z - 25. Solve -28*c + 8*c**s - 8 + 7*c**3 + c**3 - 4*c**g - 24*c**2 = 0.
-1, -1/2, 2
Let r be (47 + (-1)/(-1))/((-21)/(-140)). Let n be (-1 - (-25)/22)/(30/r). Solve 300/11*a**2 + 120/11*a + n + 250/11*a**3 = 0.
-2/5
Let n(k) be the first derivative of 5*k + 0*k**4 + 12 + k**5 - 10/3*k**3 + 0*k**2. What is s in n(s) = 0?
-1, 1
Let k be (1 - 1/5) + (-7348)/(-9185). Suppose 0 + k*u**3 + 0*u + 1/5*u**5 + 4/5*u**2 + u**4 = 0. Calculate u.
-2, -1, 0
Factor -1/6*t**2 + 22/3 - 43/6*t.
-(t - 1)*(t + 44)/6
Factor 1/3*x**2 - 16/3*x + 5.
(x - 15)*(x - 1)/3
Let u be (-210)/525 + (-312)/(-255). Suppose 14/17*w**3 + 0*w + u*w**4 + 0 - 6/17*w**5 - 6/17*w**2 = 0. What is w?
-1, 0, 1/3, 3
Let o(i) be the second derivative of -i**8/560 - i**7/140 + i**6/40 + i**5/5 + i**4/2 + 13*i**3/6 - 9*i. Let b(x) be the second derivative of o(x). Factor b(q).
-3*(q - 2)*(q + 1)**2*(q + 2)
Suppose -3*u - 52 = -2*j, 2*u + 6 = j - 22. Factor 20 + 4*d**3 + 6*d**3 + 0*d**3 - j*d - 5*d**4 + 10*d**3 - 15*d**2.
-5*(d - 2)**2*(d - 1)*(d + 1)
Let g(m) be the third derivative of 1/90*m**5 + 0*m**3 - 29*m**2 + 0 - 1/6*m**4 + 0*m. Solve g(d) = 0 for d.
0, 6
Let m(o) be the second derivative of -o**5/16 - 25*o**4/48 - 5*o**3/3 - 5*o**2/2 - o - 1. Let m(s) = 0. What is s?
-2, -1
Let l = 196 + -193. Let d(a) be the first derivative of 21/4*a**4 + 12*a - 18*a**2 - 9*a**l - 1. Factor d(j).
3*(j - 2)*(j + 1)*(7*j - 2)
Let j(k) be the second derivative of -k**5/45 + k**4/9 + 2*k**3/3 + 11*k**2 + 4*k. Let y(h) be the first derivative of j(h). Factor y(g).
-4*(g - 3)*(g + 1)/3
Let r = -11640 - -11643. Factor 3/2 - 3/2*o**2 - 3/2*o**r + 3/2*o.
-3*(o - 1)*(o + 1)**2/2
Let a = 2/423 - -419/846. Factor -a*p**5 - 15/2*p**3 - 7/2*p**4 + 0 - 9/2*p**2 + 0*p.
-p**2*(p + 1)*(p + 3)**2/2
Let m = 23549/17 + -1385. Factor m*a - 2/17 - 2/17*a**2.
-2*(a - 1)**2/17
Let p(f) be the second derivative of -f**7/6300 + f**5/75 + f**4 - 9*f. Let m(j) be the third derivative of p(j). Find d such that m(d) = 0.
-2, 2
Let u be ((-123)/(-246))/(6/21 - (-23)/42). What is t in 0*t**2 - 3/5*t + 0 + u*t**3 = 0?
-1, 0, 1
Let w(l) be the first derivative of l**3/3 - 4*l**2 - 18*l + 32. Let f be w(10). Determine z so that 4/11*z + 2/11*z**f + 2/11 = 0.
-1
Let k be (-44)/33 + (-11)/(-6). Solve -d - 3/2 + k*d**2 = 0.
-1, 3
Suppose q = 3*q - 6. Factor -7*d**q + 125*d**2 - 5*d**3 - 3*d**4 - 110*d**2 + 0*d**4.
-3*d**2*(d - 1)*(d + 5)
Let x = 8349/1588 + -3/397. Let o = x + -5. What is g in -2*g**3 + 1/2*g - 1/2*g**5 - 7/4*g**4 + o - 1/2*g**2 = 0?
-1, 1/2
Let m(v) be the first derivative of -v**3/9 - 11*v**2/3 - 111. Factor m(j).
-j*(j + 22)/3
Let n be (-660)/(-1428) + (-171)/969. Suppose -32/7 - n*m**3 - 40/7*m - 16/7*m**2 = 0. Calculate m.
-4, -2
Let b(c) be the second derivative of -c**7/2100 - c**6/900 + c**5/50 + 37*c**3/6 + 3*c - 9. Let r(k) be the second derivative of b(k). Solve r(f) =