f(r) + 3*s(r). Factor b(j).
3*(j - 6)*(j - 1)*(j + 1)**2
Let i(o) be the third derivative of o**6/60 - 4*o**5/15 + 7*o**4/12 - 13*o**2 - 2. Factor i(h).
2*h*(h - 7)*(h - 1)
Let y be (-7 - (-7 + 27/2))/((-105)/20). Determine h, given that 3/7*h**5 + 0 - y*h**4 - 36/7*h**2 + 39/7*h**3 + 12/7*h = 0.
0, 1, 2
What is r in 205*r**3 - 1 - 13*r**2 + 4*r**2 - 202*r**3 + 13 = 0?
-1, 2
Determine d, given that 24*d**2 + 18 + 36 - 48 + 74*d = 0.
-3, -1/12
Let v(m) be the second derivative of 4*m**5/5 - 16*m**4/3 + 55*m**3/6 + 9*m**2 + 265*m. Determine q so that v(q) = 0.
-1/4, 2, 9/4
Suppose -45 = -6*h - 9*h. Let o be 4/(-22) + (-658)/(-231). Suppose -2 - 2/3*g**4 - 4/3*g + 4/3*g**h + o*g**2 = 0. What is g?
-1, 1, 3
Let u(q) = -q**4 - 4*q**3 + 12*q**2 + 25*q + 19. Let j(r) = r**4 + 5*r**3 - 12*r**2 - 24*r - 20. Let v(c) = -3*j(c) - 4*u(c). Factor v(n).
(n - 4)*(n + 1)*(n + 2)**2
Solve 980*y**4 - 128*y - 100*y**5 + 745*y**2 + 39*y**2 - 931*y**3 - 605*y**3 = 0 for y.
0, 2/5, 1, 8
Let n(w) be the third derivative of -w**7/840 - w**6/60 - w**5/10 + 5*w**4/8 + 13*w**2. Let a(c) be the second derivative of n(c). Solve a(f) = 0.
-2
Let v(d) be the first derivative of -48*d**5/25 - 54*d**4/5 + 303*d**3/5 + 246*d**2/5 + 63*d/5 + 34. Let v(c) = 0. Calculate c.
-7, -1/4, 3
Suppose 2*a + 3*g - 6 = -2, 4*g + 8 = 4*a. Let t be 10 - a/3*3. Determine m so that 0*m - m**2 - 8*m + t*m + 2*m = 0.
0, 2
Factor -8/15*v**2 + 2/15*v**3 + 0*v + 0.
2*v**2*(v - 4)/15
Let w(l) be the second derivative of -32/3*l**3 + 0 - 11/5*l**5 - 2/15*l**6 + 128*l**2 - 12*l**4 + 4*l. Factor w(f).
-4*(f - 1)*(f + 4)**3
Let f(r) be the first derivative of -r**6/180 + r**5/10 + 7*r**4/12 - r**3/3 + 21. Let g(n) be the third derivative of f(n). Find c such that g(c) = 0.
-1, 7
Let x(p) be the first derivative of 0*p**2 - 2/27*p**3 - 13*p - 10 - 1/54*p**4. Let t(d) be the first derivative of x(d). Factor t(r).
-2*r*(r + 2)/9
Let c(g) = 6*g**2 + 30*g + 34. Let q(b) = 2*b**2 + 10*b + 12. Let r(v) = 6*c(v) - 17*q(v). Find u such that r(u) = 0.
-5, 0
Suppose -o = -n + 2, 3*o + 4 - 22 = -3*n. Let s(t) be the second derivative of 4/5*t**o + 4/15*t**3 + 0 - t - 1/10*t**4 - 1/25*t**5 + 1/75*t**6. Factor s(m).
2*(m - 2)**2*(m + 1)**2/5
Let q(r) be the third derivative of -r**7/105 - 17*r**6/300 + 13*r**5/50 - 7*r**4/60 - 2*r**3/3 + 92*r**2 - 2*r. Determine h, given that q(h) = 0.
-5, -2/5, 1
Let 16 - 80*m - 284*m**4 - 103*m**3 - 132*m**2 + 64*m + 435*m**3 + 84*m**5 = 0. Calculate m.
-2/7, 2/3, 1
Let k = 13 - 6. Factor 48*a - 13*a**3 + k + 17*a**3 - 33 - 24*a**2 - 6.
4*(a - 2)**3
Let b be (4/6)/((-6)/(-45)). Suppose -b*c + 24 = c. Solve 3*x**3 + x**2 + c*x**2 - 2*x**2 = 0.
-1, 0
Let q = -67/4 - -17. Let i(z) be the first derivative of -q*z**4 + 0*z - 1 - 2*z**2 - 4/3*z**3. Suppose i(g) = 0. What is g?
-2, 0
Suppose -4*q = -b - 11, 2*q - 9 = 2*b + 1. Let y be (20/(-25))/(2/(-20)*q). Let 0 + 0*g + 1/3*g**y - 4/3*g**5 + 0*g**3 + 0*g**2 = 0. Calculate g.
0, 1/4
Let z = 41407/13 + -3185. Factor z + 4/13*g + 2/13*g**2.
2*(g + 1)**2/13
Let t(f) = 3*f - 75. Let i be t(25). Factor 2/9*l**4 + i + 2/3*l**3 + 2/3*l**2 + 2/9*l.
2*l*(l + 1)**3/9
Let p = -36 - -37. Factor -1 + 5*x**3 - 5036*x - 15*x**2 + 5046*x + p.
5*x*(x - 2)*(x - 1)
Let a(v) be the first derivative of -v**4 - 24*v**3 - 162*v**2 - 432*v - 200. Factor a(t).
-4*(t + 3)**2*(t + 12)
Determine a so that -66/5 - 192/5*a + 282/5*a**2 - 24/5*a**3 = 0.
-1/4, 1, 11
Suppose 155*v = 139*v + 176. Let k(a) be the first derivative of 2/11*a**2 - v - 6/11*a**3 + 0*a + 2/11*a**4. Factor k(d).
2*d*(d - 2)*(4*d - 1)/11
Determine l, given that -l**3 + 1/2*l**4 - 6 - 14*l - 19/2*l**2 = 0.
-2, -1, 6
Let b(x) = 12*x**2 + 196*x + 216. Let r(a) = -7*a**2 - 131*a - 144. Let y(w) = 5*b(w) + 8*r(w). Factor y(q).
4*(q - 18)*(q + 1)
Let v(s) be the third derivative of 0 - 23*s**2 + 1/270*s**5 + 1/54*s**4 + 0*s**3 + 0*s. Factor v(m).
2*m*(m + 2)/9
Suppose -3*f + 5*c + 68 = c, -4*f = -5*c - 92. Factor -90*v + f*v**3 + 90*v - 8*v**2.
4*v**2*(7*v - 2)
Let s(a) = -7*a**3 + 44*a**2 - 27*a. Let i(w) = -10*w**3 + 65*w**2 - 41*w. Let p(g) = -5*i(g) + 7*s(g). Factor p(v).
v*(v - 16)*(v - 1)
Suppose 4*d + 3 + 1 = 0, -4*m = 4*d - 100. Let g = 28 - m. Factor 0 + 3/4*j - 3/4*j**g.
-3*j*(j - 1)/4
Let x = 5 + -1. Suppose 5*y + 0*t + 4*t = 8, -2*y = 4*t + x. Factor c - 1 + c - 1 - 6*c**3 + 2*c**2 + y*c**3.
-2*(c - 1)**2*(c + 1)
Let g(p) = p**2 - 31*p + 39. Let d(j) = -2*j - 3. Let f(y) = 15*d(y) - 3*g(y). Let f(x) = 0. Calculate x.
3, 18
Let g(p) be the second derivative of -3*p**5/20 - p**4/12 + p**3/6 + p**2/2 - p. Let f(v) = v**3. Let m(i) = -2*f(i) - g(i). Factor m(w).
(w - 1)*(w + 1)**2
Factor 112/19 - 6/19*j**2 - 334/19*j.
-2*(j + 56)*(3*j - 1)/19
Let l(t) be the third derivative of 0*t**3 + 11*t**2 + 5/42*t**4 + 1/105*t**5 + 0 + 0*t. Factor l(q).
4*q*(q + 5)/7
Let m(r) = -4*r**4 - 8*r**3 + 10*r**2 + 14*r + 4. Let f(y) = -9*y**4 - 17*y**3 + 19*y**2 + 27*y + 10. Let h(s) = -4*f(s) + 10*m(s). Factor h(i).
-4*i*(i - 2)*(i + 1)*(i + 4)
Let i be 10/1 + (-97 - -89). Let w(a) be the first derivative of i*a**3 + 5 - a**2 - 6*a + 1/2*a**4. Factor w(g).
2*(g - 1)*(g + 1)*(g + 3)
Let k(h) be the second derivative of 2/75*h**6 - 1/105*h**7 + 0*h**2 + 1/15*h**3 + 2*h - 1/15*h**4 + 0*h**5 + 0. Suppose k(v) = 0. Calculate v.
-1, 0, 1
Let y be (31/(-589))/(2/(-19)). Factor 1/2*o**3 + 3/2*o**4 + 0 - 3/2*o**2 - o + y*o**5.
o*(o - 1)*(o + 1)**2*(o + 2)/2
Let k be ((-216)/45 - -5)*(-7 - -17). Let -2/3*f**k - 50/3 - 20/3*f = 0. Calculate f.
-5
Factor -23*n + 529/2*n**2 + 1/2.
(23*n - 1)**2/2
Suppose -3*j - 2*j = -15. Let i = 9 - j. Suppose 4*d**4 + 0*d**3 + 0*d**4 - 2*d**2 + 3*d**3 - 9*d**3 - 2 + i*d = 0. What is d?
-1, 1/2, 1
Let f(t) be the first derivative of 4*t**2 + 1 - 9/10*t**3 - 1/100*t**5 + 0*t - 3/20*t**4. Let x(u) be the second derivative of f(u). Factor x(k).
-3*(k + 3)**2/5
Let z be (-1)/(1 - 15/10). Factor 104*y**2 + 50*y**3 + 49*y**3 + 6 - 39*y**3 + z + 52*y.
4*(y + 1)*(3*y + 1)*(5*y + 2)
Let q be 50/18 - 10/(-45). Let s(i) = -i**4 - 3*i**q - 4*i**2 - i + 3*i**2 + i - i. Let g(c) = -c**2. Let r(j) = 6*g(j) + 3*s(j). Suppose r(a) = 0. Calculate a.
-1, 0
Let b(a) be the second derivative of -a**5/110 - 13*a**4/66 - 23*a**3/33 - a**2 + 54*a. Factor b(w).
-2*(w + 1)**2*(w + 11)/11
Let v(m) be the first derivative of -m**5/10 + 5*m**4/8 + 13*m**3/6 + 7*m**2/4 + 531. Factor v(h).
-h*(h - 7)*(h + 1)**2/2
Let w(u) be the second derivative of -u**5/30 - 8*u**4/9 - 5*u**3 + 54*u**2 + u - 18. Factor w(x).
-2*(x - 2)*(x + 9)**2/3
Let k = 4 - 3. Let m(t) = 10*t**3 - 10*t**2 + 20*t. Let n(r) = -r**3 - r**2 - r - 1. Let d(h) = k*m(h) + 5*n(h). Let d(g) = 0. Calculate g.
1
Determine z so that -44/5*z - 484/5 - 1/5*z**2 = 0.
-22
Factor 0 + 0*k**2 + 5/2*k - 15/2*k**3 - 5*k**4.
-5*k*(k + 1)**2*(2*k - 1)/2
Let v(z) be the third derivative of -z**7/420 + z**6/180 + z**5/30 - 4*z**3 - 18*z**2. Let a(i) be the first derivative of v(i). Determine h so that a(h) = 0.
-1, 0, 2
Let w = 2249 - 2247. Factor 0 + 3*o + 3/2*o**w - 3/2*o**3.
-3*o*(o - 2)*(o + 1)/2
Let x be ((-6)/4 + 4 + -1)*6/3. Suppose -6/7*u + 12/7*u**2 + 6/7*u**x - 12/7 = 0. What is u?
-2, -1, 1
Solve 0*q - 3/2*q**3 + 0 + 0*q**4 + 1/2*q**5 - q**2 = 0.
-1, 0, 2
Let o be (6/5)/(8/20). Let p = 1038 + -1034. Find x such that 0*x + 1/2*x**o - 1/2*x**2 + 0 - 1/2*x**5 + 1/2*x**p = 0.
-1, 0, 1
Determine s so that 22/15*s + 4/5*s**2 + 4/5 + 2/15*s**3 = 0.
-3, -2, -1
Let a(i) = 29*i**3 - 17*i**2 - 76*i - 66. Let k(j) = -5*j**3 + 1. Let r(c) = -a(c) - 6*k(c). Find n, given that r(n) = 0.
-10, -6, -1
Let z = 103 + -111. Let s be z/6 + (-358)/(-30) + -10. Factor -1/5*q**4 + 1/5*q**3 + 2/5 - q + s*q**2.
-(q - 1)**3*(q + 2)/5
Let n(z) = -6*z**3 + 9*z**2 - 12*z. Let s(l) = l**3 + l + 1. Suppose 2*v = 4, 5*t + 3*v = -4 + 5. Let c(x) = t*n(x) - 3*s(x). Factor c(r).
3*(r - 1)**3
Suppose -4*b = 2*c - 24, 21 - 8 = 4*c + b. Suppose 19 = -s + c*s - 5*f, -2*f - 16 = -s. What is k in -s*k + 3 - 3 + 6*k + 36*k**2 - 16*k**3 = 0?
0, 1/4, 2
Let q(r) be the first derivative of -2*r**5/85 + 9*r**4/34 - 10*r**3/17 - 25*r**2/17 - 270. Determine m so that q(m) = 0.
-1, 0, 5
Let o(d) be the second derivative of 7/4*d**4 - 14*d + 18*d**2 + 0 - 3/20*d**5 - 8*d**3. Factor o(i).
-3*(i - 3)*(i - 2)**2