h that x(m) = 0.
-2, -1, -3/5, 18
Let h = -1095 + 1098. Let u(i) be the first derivative of -2/17*i + 1/17*i**4 - 2/17*i**2 + 8 + 2/85*i**5 + 0*i**h. Factor u(d).
2*(d - 1)*(d + 1)**3/17
Let u(d) be the second derivative of -d**3/3 + d**2 + 2*d - 110. Let v(q) = -q**2 + 4*q + 4. Let h(n) = -6*u(n) + 3*v(n). Factor h(t).
-3*t*(t - 8)
Let z(s) be the first derivative of -111/4*s**3 + 147/20*s**5 - 21/8*s**4 + 48*s + 6*s**2 - 35. Let z(q) = 0. Calculate q.
-1, 8/7
Let b(s) be the third derivative of -s**6/480 + 563*s**5/240 - 5005*s**4/6 + 9800*s**3 + 5036*s**2. Factor b(w).
-(w - 280)**2*(w - 3)/4
Let w(d) be the second derivative of 2*d + 25 + 1/36*d**4 + 19/18*d**3 + 0*d**2. Factor w(p).
p*(p + 19)/3
Let h(c) be the third derivative of 0*c**4 - 1/20*c**5 - 43*c**2 + 0 + 0*c + 1/2*c**3. Let h(i) = 0. Calculate i.
-1, 1
Suppose 0 = -151*u + 479 + 125. Let p(n) be the first derivative of -2/3*n + 16 + 1/3*n**2 - 1/6*n**u + 2/9*n**3. Factor p(c).
-2*(c - 1)**2*(c + 1)/3
Suppose -4*h = -20, 5*b + 0*b + 2*h = 345. Find y such that b*y**2 - 20*y**3 - 16*y - 3*y**2 - 10*y**4 - 90*y**4 = 0.
-1, 0, 2/5
Let o = 162649 - 162646. Find u, given that 1/5*u**4 + 0 + 0*u - 7/5*u**o + 6/5*u**2 = 0.
0, 1, 6
Suppose 6*k + 3*q = 3*k - 12, 16 = -4*q. Find s, given that -s**2 - s**2 + k*s + 46*s + 33 + 15 = 0.
-1, 24
Let b(z) = -80*z**2 - 178*z + 12. Let w(a) = -558*a**2 - 1250*a + 84. Let c(u) = 44*b(u) - 6*w(u). Factor c(f).
-4*(f + 2)*(43*f - 3)
Let b(w) be the first derivative of 1/3*w**4 - 20/9*w**3 - 22*w**2 - 36*w + 3. Factor b(y).
4*(y - 9)*(y + 1)*(y + 3)/3
Let x(u) = u**2 + u - 2*u + 0*u**2. Let r be ((-16)/(-4))/(1 - -1). Let m(b) = 3*b**2 - 12*b + 25. Let j(w) = r*x(w) - m(w). Find v such that j(v) = 0.
5
Let y = 571370 + -2856847/5. Find v, given that -48/5*v + 0 - y*v**3 - 51/5*v**2 = 0.
-16, -1, 0
Let d(o) be the third derivative of -27*o**3 - 1/30*o**5 + 0*o - 43*o**2 + 3/2*o**4 + 0. Factor d(m).
-2*(m - 9)**2
Let q = 253734/5 + -50746. Determine u, given that 12/5*u**3 - 4/5*u**4 + q*u**2 + 0 - 12/5*u = 0.
-1, 0, 1, 3
Let k = -40375 + 40378. Suppose 5/2*i**4 + 30*i + 0 + 35/2*i**k + 40*i**2 = 0. What is i?
-3, -2, 0
Let j(b) be the second derivative of -b**7/70 - 17*b**6/50 - 39*b**5/100 + 49*b**4/20 + 7*b**3/5 - 48*b**2/5 - 56*b - 27. Suppose j(w) = 0. Calculate w.
-16, -2, -1, 1
Find d, given that 40/13*d + 128/13 + 2/13*d**2 = 0.
-16, -4
Factor 28/5 - 2*o - 2/5*o**3 - 16/5*o**2.
-2*(o - 1)*(o + 2)*(o + 7)/5
Let i(d) = d**5 - 10*d**4 - 36*d**3 - 12*d**2 - 9*d - 11. Let h(m) = -2*m**4 - 2*m**3 - 2*m - 1. Let z(b) = 11*h(b) - i(b). Determine o so that z(o) = 0.
-13, -1, 0, 1
Let k(h) = -105*h + 112*h**3 - 648*h**2 - 5 + 17 - 175*h. Let x(d) = -45*d**3 + 259*d**2 + 112*d - 5. Let t(u) = 5*k(u) + 12*x(u). Factor t(s).
4*s*(s - 7)*(5*s + 2)
Let i(f) be the second derivative of -841*f**4/28 + 1392*f**3/7 - 3456*f**2/7 - 2*f - 873. Suppose i(k) = 0. Calculate k.
48/29
Let n = -8081 - -969721/120. Let l(g) be the third derivative of 0*g - 21*g**2 - 1/60*g**5 - n*g**6 + 1/6*g**3 + 0 + 1/24*g**4. Factor l(a).
-(a - 1)*(a + 1)**2
Let q(k) = 7*k**3 + 10*k**2 - 15*k - 234. Let m be q(-8). Let b be m/(-990) - (-6)/54. Let 4/3*f**3 + 44/15*f - 14/15 - b*f**2 - 2/15*f**4 = 0. Calculate f.
1, 7
Let x(n) be the third derivative of n**7/3780 + n**6/405 - n**5/180 - n**4/8 - 7*n**3/6 - 205*n**2. Let s(h) be the second derivative of x(h). Factor s(a).
2*(a + 3)*(3*a - 1)/9
Let k(x) be the first derivative of -x**8/14280 + x**7/7140 + x**6/1530 - 36*x**3 - 11. Let o(d) be the third derivative of k(d). Factor o(q).
-2*q**2*(q - 2)*(q + 1)/17
Let j be (7/(-3) - (-1)/3) + 4. Suppose -7*q + j*q - 10 = -5*c, -5*c + 20 = 0. Factor 0*n**2 + 2*n + 0*n**2 + 2*n**q - n**2.
n*(n + 2)
Let w(m) be the first derivative of 0*m - 81 - 5/6*m**2 + 1/18*m**6 + 14/9*m**3 + 2/15*m**5 - m**4. Factor w(u).
u*(u - 1)**3*(u + 5)/3
Let y = -894 + 901. Let i be y/7 - 4 - (-1 + -5). Solve 4/3*n + 0 - 2/3*n**i + 2/3*n**2 = 0.
-1, 0, 2
Suppose -51*m - 8875 = -9028. Let v be (-16)/6*(-12)/16. Factor 1/4*a + 1/4*a**4 + 1/2 - 7/4*a**v - 7/4*a**m + 1/2*a**5.
(a - 2)*(a + 1)**3*(2*a - 1)/4
Let p(q) be the second derivative of 64896*q**4 - 416*q**3 + q**2 - 3515*q. Factor p(r).
2*(624*r - 1)**2
Let w be (299/2093)/(-2*1/(-30)). Factor -3*z**2 - 9/7*z - 3/7*z**4 + 0 - w*z**3.
-3*z*(z + 1)**2*(z + 3)/7
Suppose 19*s - 16*s + 9 = 0. Let c = s + 6. Factor -7*w**2 - 68*w**2 + 48*w - 27*w**4 + 59*w**c + 6*w**4 - 12 + 3*w**5 - 2*w**3.
3*(w - 2)**2*(w - 1)**3
Let v(z) = z - 5*z**3 + 7 + 0*z**2 - z**2 + 4*z**3. Let d be v(0). Factor -89*i**2 + 85*i**2 + 7*i - 6*i + d*i.
-4*i*(i - 2)
Let c(j) be the third derivative of j**7/10080 + j**6/320 + 3*j**4/4 - 59*j**2. Let d(y) be the second derivative of c(y). Factor d(h).
h*(h + 9)/4
Let m(o) be the third derivative of -o**6/72 - o**5/4 - 5*o**4/3 - 29*o**3/6 - 2*o**2 - 80. Let a(s) be the first derivative of m(s). Factor a(y).
-5*(y + 2)*(y + 4)
Let n(m) be the first derivative of -m**3/3 + 47*m**2 - 184*m - 816. Find b such that n(b) = 0.
2, 92
Let k(z) = -z - 2. Let f be k(-5). Let g = -475 - -1059. Suppose 2*y + g - y - f*y**2 - y**3 + y**4 - 582 = 0. Calculate y.
-1, 1, 2
Let o(t) = -5*t + 348. Let h be o(69). Factor -27/8 - 9*i - 3/4*i**h - 39/8*i**2.
-3*(i + 3)**2*(2*i + 1)/8
Let j(g) be the third derivative of -g**11/66528 + g**10/15120 - g**9/12096 - 79*g**5/60 + 103*g**2. Let t(p) be the third derivative of j(p). Factor t(w).
-5*w**3*(w - 1)**2
Let v be (20 - 1)/(-399) - 5180/(-9996). Solve -94/17*l**3 - 18/17*l**5 + 72/17*l**4 + 0 + 48/17*l**2 - v*l = 0.
0, 1/3, 2/3, 1, 2
Let i(v) = 5*v**4 - 197*v**3 - 860*v**2 + 4*v - 2. Let r(s) = -5*s**4 + 198*s**3 + 860*s**2 - 6*s + 3. Let b(h) = -3*i(h) - 2*r(h). Solve b(n) = 0 for n.
-4, 0, 43
Let o(v) be the first derivative of v**3/3 + 24*v**2 + 47*v + 250. Let o(l) = 0. Calculate l.
-47, -1
Let p(y) be the first derivative of -3/4*y**4 - 13/6*y**2 + 141 - 2/3*y - 20/9*y**3. Factor p(j).
-(j + 1)**2*(9*j + 2)/3
Let f = -1541299/3 + 513767. Suppose -1/3 + h**2 - f*h = 0. What is h?
-1/3, 1
Let a = -37482 + 37484. Factor 4/7*n**4 + 4/7*n**a - 8/7*n**3 + 0*n + 0.
4*n**2*(n - 1)**2/7
Let s be -22 + (-396)/(-11) + (25 - 20). Suppose 83/4*p**3 + 0 - 5/4*p**5 + 3*p - s*p**2 - 7/2*p**4 = 0. Calculate p.
-6, 0, 1/5, 1, 2
Suppose 22*w - 42 = 8*w. Solve -f - 42*f**3 + 41*f**3 - 2*f - w*f - 7*f**2 = 0 for f.
-6, -1, 0
Let r(j) be the second derivative of j**6/15 - 4*j**5 - 73*j**4/2 - 90*j**3 - j + 5774. Factor r(q).
2*q*(q - 45)*(q + 2)*(q + 3)
Suppose 70 = -37*i + 39*i. Suppose i*h = 30*h. Solve 3/8*s**5 + 0*s**2 + 0 - 3/4*s**4 + 0*s + h*s**3 = 0.
0, 2
Let d(q) = -4*q**3 - 54*q**2 + 5*q. Let w(n) = -n**3 - 3*n**2 + n. Suppose -19 + 4 = 3*f + 4*z, f = -2*z - 7. Let t(o) = f*d(o) + 5*w(o). Solve t(m) = 0.
0, 39
Suppose -244 = c - 251. Suppose -6*a + c*a = 7*a. Factor 4/7*s + a - 4/7*s**2.
-4*s*(s - 1)/7
Let r(m) = m**2 - m - 1. Let h = -79 - -82. Let y(q) be the third derivative of q**5/20 + q**4/24 - 18*q**2. Let j(w) = h*y(w) - 6*r(w). Factor j(d).
3*(d + 1)*(d + 2)
Let d(s) be the second derivative of -s**6/270 + s**5/30 + 2*s**4/9 - 6*s**3 - 91*s. Let w(t) be the second derivative of d(t). Factor w(p).
-4*(p - 4)*(p + 1)/3
Let q(u) be the first derivative of u**5/12 + u**4/96 - 55*u**2/2 - 78. Let b(l) be the second derivative of q(l). Factor b(t).
t*(20*t + 1)/4
Suppose -42*f = -g - 47*f - 3, 2*f = -g. Suppose -2/11*n**g - 10/11*n + 0 = 0. Calculate n.
-5, 0
Let m be (2/6)/(23/759). Suppose 5*s + j = 15, -m = -11*s + 8*s - j. Factor 2/3*p**s + 7/3*p**3 - 1/3*p + 0 + 4/3*p**4.
p*(p + 1)**2*(4*p - 1)/3
Factor 0 + 144/5*z**2 + 0*z - 24*z**3 + 33/5*z**4 - 3/5*z**5.
-3*z**2*(z - 4)**2*(z - 3)/5
Let d(c) be the third derivative of c**6/120 - 7*c**5/60 - c**4/3 - 3*c**2 - 17*c - 17. Suppose d(p) = 0. What is p?
-1, 0, 8
Let o = -197546/5 + 39512. Determine w, given that 2/5*w**4 - o*w + 18/5*w**2 - 2*w**3 + 4/5 = 0.
1, 2
Let y(z) = z**4 - z**3 + z**2 - z - 5. Let h(x) = -11*x**4 + 6*x**3 + 324*x**2 + 806*x - 1095. Let q(u) = h(u) + 6*y(u). Factor q(p).
-5*(p - 9)*(p - 1)*(p + 5)**2
Let o(c) be the second derivative of 34 + 0*c**2 + 735/2*c**3 - 2*c - 41/4*c**5 - 665/4*c**4 - 1/6*c**6. Let o(x) = 0. What is x?
-21, 0, 1
Let c(h