Let n(k) = -m(k) + y(k). Suppose n(r) = 0. Calculate r.
-51, -7, 2
Let s(z) be the second derivative of -z**5/480 - z**4/24 - z**3/3 - 15*z**2 - 11*z + 3. Let r(b) be the first derivative of s(b). Factor r(p).
-(p + 4)**2/8
Let x(t) = -4*t**2 - 12*t**3 - 7*t + 7*t - 6*t**2 + 6. Let p be (8/10)/(3/(-15)). Let u(j) = j**3 - j**2 - j - 1. Let m(w) = p*u(w) - x(w). Solve m(v) = 0.
-1, 1/4
Let t(q) = 343*q + 32247. Let m be t(-94). What is a in 5/3*a**3 + 20/3 - 5/3*a**5 + 55/3*a**2 - m*a**4 + 20*a = 0?
-2, -1, 2
Let j(y) be the third derivative of -y**6/1080 + y**5/120 - y**4/36 + 49*y**3/6 - 2*y**2 - 23*y. Let w(m) be the first derivative of j(m). Factor w(d).
-(d - 2)*(d - 1)/3
Let d(v) be the second derivative of -v**5/35 + v**4/3 + 16*v**3/21 - 76*v + 9. Solve d(p) = 0 for p.
-1, 0, 8
Let q be 3*(-3)/(-9)*4. Let t = 107624 - 107622. Factor 1/10*s**q - 9/10*s**t - 2/5*s + 6/5 + 0*s**3.
(s - 3)*(s - 1)*(s + 2)**2/10
Suppose 539 = 2*i + 187. Suppose 0 = 47*f - 3*f - i. Determine v, given that -5/3 - 14/3*v - f*v**2 - 2/3*v**3 + 1/3*v**4 = 0.
-1, 5
Let w(l) be the second derivative of 3*l**5/10 + 323*l**4/9 - 16*l**3 - 7036*l. Factor w(x).
2*x*(x + 72)*(9*x - 2)/3
Let s(z) = z**2 - z + 2. Let l be s(0). Let g be (1 - 0) + (1 - l)*-2. Factor -25*x**2 - 3*x - 9*x + 22*x + 20*x**g - 5*x**4.
-5*x*(x - 2)*(x - 1)**2
Factor 34 + 50 + 5*s**4 - 15*s**2 + 172*s - 104 + 10*s**3 - 396*s + 184*s.
5*(s - 2)*(s + 1)**2*(s + 2)
Let n(h) = 15*h**4 + 157*h**3 + 28*h**2 - 1. Let m(p) = -p**4 - p**3 - 6*p**2 + 1. Let k(l) = -2*m(l) - 2*n(l). Factor k(v).
-4*v**2*(v + 11)*(7*v + 1)
Let y = -59 - -65. Factor -5014*j**3 - y*j**2 + 2510*j**3 + 2505*j**3.
j**2*(j - 6)
Let h be (-81)/(-63) + -1 - 552/(-322). Suppose -t + 8 = 3*t. Find w such that -6/5 - 14/5*w - 2/5*w**3 - h*w**t = 0.
-3, -1
Let x(p) be the first derivative of p**6/840 - p**5/5 + 14*p**4 + 2*p**3/3 + 67*p**2 - 33. Let a(f) be the third derivative of x(f). What is g in a(g) = 0?
28
Let q(d) be the first derivative of 1/9*d**3 - 6*d + 146 + 7/6*d**2. Factor q(s).
(s - 2)*(s + 9)/3
Let j = 72 + -70. Solve -3*h**2 - h**j - 4*h - 4 + 12*h + 0 = 0.
1
Suppose 565/3*a**2 + 15680/3 + 5/3*a**3 + 16240/3*a = 0. What is a?
-56, -1
Let 1116*o**2 + 322*o - 112*o - 556*o**2 - 558*o**2 = 0. Calculate o.
-105, 0
Let m be (-47)/((-1)/13*(-6)/66). Let x = m - -73979/11. Factor 288/11*w + 2/11*w**3 + 0 - x*w**2.
2*w*(w - 12)**2/11
Let f(a) = -41*a + 2. Let h be f(-1). Let r = h + -38. Let -5*j + r*j - 5*j**3 + 3*j**2 - 8*j**2 = 0. Calculate j.
-1, 0
Factor -7/2*g - 18 + 1/4*g**2.
(g - 18)*(g + 4)/4
Factor -31 + 1/5*m**2 - 26/5*m.
(m - 31)*(m + 5)/5
Suppose 20 - 52 = -4*j. Suppose j = 2*a + 4. Determine w so that -5*w**a + 10*w - 2*w**4 + 7*w + 10 - 2*w - 3*w**4 - 15*w**3 = 0.
-2, -1, 1
Let c(j) = -20*j**2 + 340*j + 351. Let m(l) = -5*l**2 + 85*l + 88. Suppose -w + 7*s - 3*s - 13 = 0, 48 = -5*w + 3*s. Let o(d) = w*m(d) + 2*c(d). Factor o(p).
5*(p - 18)*(p + 1)
Let p = 134190592/14585935 - -2/2917187. Factor -p*t**2 + 2/5*t**3 + 288/5 + 48*t.
2*(t - 12)**2*(t + 1)/5
Let o(l) be the first derivative of l**6/240 - 3*l**5/40 - l**4 - 2*l**3/3 + 39*l**2/2 + 68. Let s(c) be the third derivative of o(c). Factor s(z).
3*(z - 8)*(z + 2)/2
Solve 328 + 4856 - 174*v**4 - 2592*v + 175*v**4 + 468*v**2 - 36*v**3 = 0.
6, 12
Factor 58250 - 2*x**3 + x**3 + 439*x + 68*x**2 - 57880.
-(x - 74)*(x + 1)*(x + 5)
Let b = -2042207/7 - -291744. Factor 0 - 8/7*g**3 + 8/7*g - b*g**2 + 1/7*g**4.
g*(g - 8)*(g - 1)*(g + 1)/7
Suppose 879*y - 1724*y = -885*y + 120. Solve 60*o + 21/2*o**2 + 50 + 1/2*o**y = 0.
-10, -1
Let f(q) = 6*q**2 + 101*q - 17. Let l be f(-17). Suppose -4*a = -3*a - l*a. What is g in -4/3*g**2 - 2*g**4 + 0*g - 10/3*g**3 + a = 0?
-1, -2/3, 0
Let t(g) be the third derivative of 4*g**7/105 - 23*g**6/30 + 22*g**5/5 - 15*g**4/2 + 3039*g**2. Find b, given that t(b) = 0.
0, 1, 3, 15/2
Suppose 0 = -3*b + 3*x + 153, 3*b + 51 = 4*b + 2*x. Find g, given that 51*g - 3*g**3 - b*g = 0.
0
Suppose 109*k + 20 = 119*k. Find s such that 21 + 87 + 270*s + 6*s + 0*s + 15*s**k = 0.
-18, -2/5
Let k(x) be the second derivative of x**6/210 + 453*x**5/140 + 22801*x**4/28 + 3442951*x**3/42 - 893*x. Factor k(i).
i*(i + 151)**3/7
Let c(p) be the third derivative of -1/2*p**4 + 49*p**2 + 1/12*p**5 + 0*p + 0 + 2/3*p**3. Solve c(z) = 0 for z.
2/5, 2
Find y, given that 64/9*y**2 - 86/3*y + 8/9 = 0.
1/32, 4
Let b = 53657 - 268281/5. Find o such that 4/5*o**2 - 4*o**4 - 28/5*o**3 + 32/5*o + 16/5 - b*o**5 = 0.
-2, -1, 1
Let k(x) be the first derivative of -x**4/12 + 47*x**3/3 + 95*x**2/2 + 143*x/3 - 1579. Factor k(p).
-(p - 143)*(p + 1)**2/3
Let q be (-121)/33 - (-231)/63. Determine n, given that q - 1/3*n**2 - n = 0.
-3, 0
Determine i so that -176/3*i - 2/3*i**2 + 736/3 = 0.
-92, 4
Suppose 0 = 13*a - 10*a - 4*s - 18, 2*a - 22 = 6*s. What is w in -18 + 51/5*w - 3/5*w**a = 0?
2, 15
Let m(s) be the first derivative of -3*s**4/2 - 83*s**3/6 + 103*s**2/4 - 4*s - 1231. Find c such that m(c) = 0.
-8, 1/12, 1
Let s(w) be the first derivative of -w**4/8 + 233*w**3/3 - 465*w**2/4 + 2871. Suppose s(q) = 0. Calculate q.
0, 1, 465
Let l(c) be the third derivative of c**2 + 1/3*c**3 + 0 - 1/210*c**5 + 25*c - 1/14*c**4. Factor l(n).
-2*(n - 1)*(n + 7)/7
Suppose -3174*t = -2017*t. Factor 0*v + 1/3*v**4 + 4/3*v**3 - 5/3*v**2 + t.
v**2*(v - 1)*(v + 5)/3
Suppose -68*o - 76*o = -3*o - 282. Let -100/3*w + 4/3*w**o + 0 = 0. Calculate w.
0, 25
Let a = 9658 + -9655. Let v(d) be the third derivative of 0*d**a - 5/12*d**5 + 0 + 1/2*d**6 - 21*d**2 - 5/12*d**4 + 0*d. Determine g so that v(g) = 0.
-1/4, 0, 2/3
Find q such that 0 - 1/6*q**3 - 13/3*q**2 - 23/2*q = 0.
-23, -3, 0
Let y(z) be the first derivative of -2*z**3/3 - 1929*z**2 + 3860*z - 4270. Factor y(v).
-2*(v - 1)*(v + 1930)
Factor -7203/4*x**2 - 3/4*x**4 + 0*x + 0 + 147/2*x**3.
-3*x**2*(x - 49)**2/4
Let f(l) be the first derivative of -19*l - 5/4*l**3 + 5 - 1/2*l**2 - 7/24*l**4. Let i(z) be the first derivative of f(z). Factor i(r).
-(r + 2)*(7*r + 1)/2
Let v(f) = 59*f**3 + 313*f**2 + 371*f + 40. Let n(k) = 58*k**3 + 314*k**2 + 362*k + 40. Let s(j) = -7*n(j) + 6*v(j). Factor s(x).
-4*(x + 1)*(x + 5)*(13*x + 2)
Let d(m) be the first derivative of 9/2*m - 1/16*m**4 + 3/8*m**2 - 6 - 1/3*m**3. Factor d(j).
-(j - 2)*(j + 3)**2/4
Let y(s) be the second derivative of -9*s**5/140 - 52*s**4/21 - 184*s**3/7 + 576*s**2/7 + 10544*s. Let y(l) = 0. Calculate l.
-12, 8/9
Let b(s) be the third derivative of -s**6/300 - 23*s**5/75 - 123*s**4/20 - 108*s**3/5 - 3*s**2 - 21*s. Find h such that b(h) = 0.
-36, -9, -1
Let s(b) be the third derivative of b**6/600 + 7*b**5/300 + 7*b**4/60 + 4*b**3/15 - 900*b**2 + 1. Suppose s(n) = 0. What is n?
-4, -2, -1
Let l be (3/8)/(40/(-15)*(-252)/896). Let s(t) be the second derivative of 0 - 1/3*t**3 + 2*t**4 - 2/15*t**6 - 15*t - l*t**5 - 4*t**2. What is f in s(f) = 0?
-4, -1/2, 1
Suppose 5*o - 8 - 7 = 0. Suppose o*d - 9 = -3. What is l in -2 + 6*l**2 - l**d + 10*l - 10 - 3 = 0?
-3, 1
Let t(a) = 3*a**3 + 25*a**2 + 98*a - 2. Let f(b) = -b**3 + b + 1. Let j(l) = -2*f(l) - t(l). Factor j(i).
-i*(i + 5)*(i + 20)
Suppose 28*n - 72 = 36*n. Let l be -2*(n + 30/4). Factor 0*c + 3/4*c**2 + 0 + 3/8*c**l.
3*c**2*(c + 2)/8
Let w(t) = 9*t + 164. Let n be w(14). Let m be 783/n - (-2)/(-10). Factor -35/2*k**3 - 135 + 45/2*k**2 + 135/2*k + m*k**4.
5*(k - 3)**3*(k + 2)/2
Let s(x) = x - 1. Let r(o) = 5*o - 1. Let b(a) = -3*a**2 - 7*a + 95. Let f(v) = -b(v) - 5*r(v). Let z(u) = f(u) + 6*s(u). Determine i so that z(i) = 0.
-4, 8
Let r(x) be the second derivative of x**6/40 - 3*x**5/10 + 13*x**4/16 - 3*x**3/4 - 23*x - 18. Factor r(a).
3*a*(a - 6)*(a - 1)**2/4
Let r = 35517/8 - 4439. Let d(w) be the first derivative of -1/16*w**4 - r*w**2 + 0*w + 1/2*w**3 + 8. Solve d(j) = 0 for j.
0, 1, 5
Let l(j) be the first derivative of -j**6/480 - 11*j**5/240 - 3*j**4/16 - 137*j**2/2 + 219. Let s(k) be the second derivative of l(k). Factor s(q).
-q*(q + 2)*(q + 9)/4
Let w(y) = -14*y**3 - 6991*y**2 - 14015*y - 7008. Let i(a) = -4*a**3 - 1748*a**2 - 3504*a - 1752. Let z(b) = 15*i(b) - 4*w(b). Factor z(m).
-4*(m - 438)*(m + 1)**2
Let m(u) = -2*u + 3. Let p be m(-1). Suppose s - 5*y + 1225 = 6*s, -5*s + 1225 = -p*y. What is t in 560*t + s*t**2 + 249 + 178 -