2*r**3/21 + 17*r**2/2 - 5. Let z(p) be the second derivative of f(p). Factor z(u).
2*(u - 2)*(u - 1)/7
Factor -y**3 + 16*y**3 - 17*y**3 + y**3 + 60*y - 59*y**2.
-y*(y - 1)*(y + 60)
Suppose 0 = -3*m + 55 - 37. Let u(k) be the first derivative of 0*k**2 - m + 0*k - 1/8*k**4 - 1/6*k**3. Factor u(n).
-n**2*(n + 1)/2
Let w(y) be the third derivative of -5/12*y**6 - 1/14*y**7 + 0*y + 5/168*y**8 + 5/3*y**4 + 5/2*y**3 + 0 + 9*y**2 + 0*y**5. Let w(o) = 0. Calculate o.
-1, -1/2, 1, 3
Let u(r) be the third derivative of -1/3*r**3 + 0 - 7*r**2 + 0*r - 1/10*r**5 - 1/4*r**4 - 1/60*r**6. Let u(h) = 0. What is h?
-1
Factor 0 - 9/2*s**2 - 1/6*s**3 + 62/3*s.
-s*(s - 4)*(s + 31)/6
Let b be (33/(-22))/((-3)/(-2)*-3). Suppose -2/3*z**2 + 0 + b*z + 1/3*z**3 = 0. What is z?
0, 1
Let b be 5 + -3 - 18/11*1. Suppose 3 = -10*d + 33. Determine h, given that 0*h**d - 2/11*h**5 + 2/11*h + 4/11*h**4 + 0 - b*h**2 = 0.
-1, 0, 1
Suppose 6*f + 60 = f. Let p be 20/f + 2 + (-5)/(-9). What is t in 8/9 + 2/9*t**2 - p*t = 0?
2
Let q = 78 + -76. Let g be 1/(4 - (-2 + 3)). Factor -g*i - 1/6*i**q - 1/6.
-(i + 1)**2/6
Let s(x) be the second derivative of x**5/140 - x**4/28 + 60*x + 4. Suppose s(w) = 0. What is w?
0, 3
Let l(y) be the third derivative of y**5/480 + 59*y**4/192 + 29*y**3/24 + 34*y**2 - 5. Determine f so that l(f) = 0.
-58, -1
Suppose 3*f = 60*s - 61*s + 21, 29 = f + 4*s. Let -55/2*y**3 + 205/2*y**2 + 70*y**5 + f - 85/2*y - 215/2*y**4 = 0. What is y?
-1, 1/4, 2/7, 1
Let y(j) = -140*j**3 - 8*j**2. Let o(m) = -28*m**3 - 2*m**2. Let k(t) = 24*o(t) - 5*y(t). Factor k(w).
4*w**2*(7*w - 2)
Let -15/7*m**2 + 24/7*m**3 - 12/7*m**4 + 3/7*m + 0 = 0. What is m?
0, 1/2, 1
Let s = -46 + 49. Factor -b**3 - 4*b**3 - b**4 + 6*b**s.
-b**3*(b - 1)
Suppose -s + 3*p - 3 - 3 = 0, s - 2 = -p. Let n(y) be the third derivative of 0*y + 0 + 1/52*y**4 - 1/390*y**5 + 2*y**2 + s*y**3. Let n(v) = 0. What is v?
0, 3
Let d = 2/16677 - 2095745/16677. Let a = 127 + d. Solve -a*i**2 + 2/3*i**4 - 4/3*i**3 + 2/3*i + 2/3*i**5 + 2/3 = 0.
-1, 1
Let u(b) be the third derivative of 0*b + 1/3*b**5 - 1/24*b**6 + 0*b**3 + 0 - 5/6*b**4 + 3*b**2. Find g such that u(g) = 0.
0, 2
Let 256/13 + 96/13*c - 2/13*c**3 + 0*c**2 = 0. Calculate c.
-4, 8
Let y(z) be the first derivative of -z**7/5040 + z**6/720 - z**5/240 + z**4/144 + 7*z**3/3 - 9. Let u(l) be the third derivative of y(l). What is n in u(n) = 0?
1
Let d = 73283/13 + -5637. Factor -2/13*a - 4/13 + d*a**2.
2*(a - 2)*(a + 1)/13
Let c(m) be the third derivative of m**5/150 - m**4/3 + 20*m**3/3 + 4*m**2 - 14. Factor c(q).
2*(q - 10)**2/5
Let x(u) = -u**3 - u - 1. Let p(g) = 8*g**3 - 412*g**2 + 10816*g - 10400. Let h(i) = -p(i) - 4*x(i). Solve h(b) = 0 for b.
1, 51
Let -4/7*s**2 - 10816/7 + 416/7*s = 0. What is s?
52
Let p(s) = -4*s**3 - 20*s**2 + 30*s + 144. Let r(w) = 7*w**3 + 40*w**2 - 59*w - 288. Let h(q) = 11*p(q) + 6*r(q). Find a such that h(a) = 0.
-2, 6
Let m be 6*(11/10 + -1). Let n be 3/((-13)/((-195)/75)). Factor n*j**3 + 0 - 3/5*j + m*j**4 - 3/5*j**2.
3*j*(j - 1)*(j + 1)**2/5
Let i(d) = d**4 - d**3 + d**2. Let t(r) = 15*r**4 - 40*r**3 - 65*r**2 - 40*r. Let v(w) = -10*i(w) + t(w). Solve v(k) = 0 for k.
-1, 0, 8
What is r in 3 + 45/7*r + 27/7*r**2 + 3/7*r**3 = 0?
-7, -1
Let m(b) be the first derivative of 11*b**4/10 + 16*b**3/5 + 3*b**2 + 4*b/5 + 58. What is v in m(v) = 0?
-1, -2/11
Let c(h) be the first derivative of -3*h**4/16 + 39*h**3/4 - 621*h**2/8 + 891*h/4 + 622. Let c(g) = 0. What is g?
3, 33
Let n(w) = 493*w - 10351. Let c be n(21). Determine i so that 4/7*i**3 - 20/7*i + 8/7 - 4/7*i**4 + 12/7*i**c = 0.
-2, 1
Let s = 3/16544 + 8269/16544. Suppose 0*n - 4 = -2*n. Suppose -2*f**4 - 3/2*f + 3/2*f**3 + 5/2*f**n - s = 0. Calculate f.
-1, -1/4, 1
Let y = -737/28 - -51/28. Let l = 26 + y. Factor l*g - 1/4*g**2 - 9/4.
-(g - 3)**2/4
Let q(y) be the first derivative of -y**4 - 44*y**3/3 + 50*y**2 - 52*y + 9. What is k in q(k) = 0?
-13, 1
Let k(s) = 1. Let r(o) = o**2 - 1. Let y(m) = 9*m**2 - 14. Let l(a) = 6*r(a) - y(a). Let v(g) = -4*k(g) - l(g). Factor v(t).
3*(t - 2)*(t + 2)
Suppose -8 + 11 = 3*z, -5*z = d - 8. Let n(y) be the first derivative of -3 - 5/2*y**4 - 7*y**5 + 0*y + 0*y**2 + 0*y**d - 25/6*y**6. Factor n(r).
-5*r**3*(r + 1)*(5*r + 2)
Factor 78*d**3 - 21*d + 1396*d**2 - 889*d**2 + 3*d**4 + 21*d.
3*d**2*(d + 13)**2
Let v(j) be the third derivative of 4*j**7/105 + j**6/20 - 3*j**5/10 + j**4/6 + 296*j**2. Suppose v(w) = 0. What is w?
-2, 0, 1/4, 1
Let 25/2 + 10*a - 5/2*a**2 = 0. What is a?
-1, 5
Let n(q) be the third derivative of -q**7/280 + 9*q**6/80 + 47*q**5/80 - 9*q**4/2 + 10*q**3 + 419*q**2. Determine t so that n(t) = 0.
-4, 1, 20
Let f(t) = -5*t**3 + 11*t**2 + 23*t - 83. Let s(l) = -66*l**3 + 144*l**2 + 297*l - 1080. Let d(b) = 27*f(b) - 2*s(b). What is h in d(h) = 0?
-3, 3
Let x(m) be the third derivative of -m**8/1176 - 2*m**7/245 - m**6/42 + 11*m**4/84 + 2*m**3/7 - 12*m**2 - 6. Suppose x(h) = 0. Calculate h.
-3, -2, -1, 1
Let s = 309 + -312. Let u be s/9 + (-60)/(-72). Factor -u*m + 1 - 1/2*m**2.
-(m - 1)*(m + 2)/2
Let l(g) be the second derivative of -g**5/5 + 5*g**4/3 - 14*g**3/3 + 6*g**2 + g - 63. Factor l(k).
-4*(k - 3)*(k - 1)**2
Let j(a) be the third derivative of 0 + 0*a**3 - 1/70*a**7 + 0*a + 3/40*a**6 - a**4 - 3*a**2 + 3/10*a**5. Let j(q) = 0. Calculate q.
-2, 0, 1, 4
Let k = 182 + -303. Let m = -19 - k. Factor -2*d**3 - m + 102 + 2*d.
-2*d*(d - 1)*(d + 1)
Factor -32/7*u**3 + 16/7*u**2 - 4/7*u**4 + 128/7*u + 0.
-4*u*(u - 2)*(u + 2)*(u + 8)/7
Let n be -1 + (-2)/(-9) + 1. Let t = 1015 + -1015. Determine c, given that -n*c**2 + 0 + t*c = 0.
0
Let b(m) be the first derivative of 4*m**3/3 - 38*m**2 + 72*m + 174. Factor b(c).
4*(c - 18)*(c - 1)
Let o(u) be the second derivative of 0*u**2 - 4/9*u**3 + 0 + 23*u + 1/9*u**4. Factor o(f).
4*f*(f - 2)/3
Let t be (5 + (-58)/12)*2. Let c(q) be the first derivative of 1/9*q**3 - 1/3*q**2 + t*q - 1. What is a in c(a) = 0?
1
Let w(g) be the first derivative of g**5 + 25*g**4/4 - 35*g**3/3 - 25*g**2/2 + 30*g - 198. Factor w(d).
5*(d - 1)**2*(d + 1)*(d + 6)
Let o = -19623/2 + 9812. Factor -1 - 1/2*a + o*a**2.
(a - 2)*(a + 1)/2
Let d(c) be the second derivative of c**7/6300 - c**6/2700 - c**5/900 + c**4/180 + c**3/3 + 8*c. Let o(l) be the second derivative of d(l). Solve o(x) = 0.
-1, 1
Let h = -6 - -11. Let p = 8 - h. Factor -1 - 1 + 6*t**p + 12*t**3 - 10*t - 6*t**2.
2*(t - 1)*(3*t + 1)**2
Let m(s) = 5*s**3 + 3*s**2 - 2*s + 3. Let d(p) = 40*p**3 + 25*p**2 - 15*p + 25. Let t(j) = -3*d(j) + 25*m(j). Factor t(u).
5*u*(u - 1)*(u + 1)
Factor 968/9 + 2/9*j**3 + 10*j**2 + 352/3*j.
2*(j + 1)*(j + 22)**2/9
Let s(i) = 4*i**2 - i. Let h = -82 + 82. Let z be s(h). Determine j, given that -3/5*j**4 + 3/5*j**2 - 3/5*j**3 + z*j + 3/5*j**5 + 0 = 0.
-1, 0, 1
Let i(b) = b**3. Let t(x) = -3*x**2 + 3 + 9*x**2 + x**3 - 4*x - x**2 - 3*x. Let s(d) = 10*i(d) - 5*t(d). Determine q so that s(q) = 0.
1, 3
Factor -28/5*n**3 + 0 - 16/5*n + 6/5*n**4 + 8*n**2.
2*n*(n - 2)**2*(3*n - 2)/5
Let h(n) be the third derivative of -n**7/280 - n**6/480 + n**5/48 + n**4/96 - n**3/12 + 90*n**2. Let h(z) = 0. Calculate z.
-1, 2/3, 1
Suppose 3*z = 4*x + 50, -4*x - 64 = -4*z - 0*z. Suppose -8 + z = 3*c. Solve 0*i + 0 + 0*i**4 + 0*i**3 - 2/13*i**5 + 0*i**c = 0.
0
Let s(x) be the first derivative of x**3 + 42*x**2 + 588*x - 467. Suppose s(k) = 0. Calculate k.
-14
Let f = 71 + -68. Let c(l) be the second derivative of 4*l - 2/21*l**4 + 0 + 5/21*l**f - 2/7*l**2 + 1/70*l**5. Factor c(m).
2*(m - 2)*(m - 1)**2/7
Suppose -338*q + 89*q + 3 = 3. Suppose q - 9/4*t**2 + 3/4*t = 0. Calculate t.
0, 1/3
Let g(i) = -i**2 + i - 1. Let k(z) = 4*z**2 - 19*z - 44. Let r be (8/6)/(12/90). Let n(d) = r*g(d) + 2*k(d). Find w such that n(w) = 0.
-7
Let s(z) be the third derivative of -z**6/100 - z**5/150 + z**4/30 + 167*z**2. Determine x, given that s(x) = 0.
-1, 0, 2/3
Let n be 12*3/(-60) - (-29)/15. Let r(p) be the first derivative of 0*p + 0*p**2 + 4/5*p**5 + 4 - p**4 + 2/3*p**6 - n*p**3. Find a, given that r(a) = 0.
-1, 0, 1
Let b(k) = -15*k**3 + 27*k**2 - 33*k - 3. Let r(l) = l**3 - l + l**2 - 2*l**3 - 48 + 47. Let x(p) = -b(p) + 12*r(p). Let x(n) = 0. What is n?
1, 3
Let i(l) = l**2 + 12*l - 25. Let c be i(-14). Let a be (c/(-10))/((-15)/20). Find u, given tha