8 = 5*x. Factor -2*w**x + 4*w**2 - 6*w + 21 - w**2 - 4*w.
(w - 7)*(w - 3)
Let k(d) be the second derivative of -40/3*d**4 + 70*d + 0 - 50/3*d**3 - 2/21*d**7 + 16/15*d**6 + 0*d**2 - 6/5*d**5. Let k(b) = 0. Calculate b.
-1, 0, 5
Let u be ((8 - 15)/(-28))/(-2*(-2)/40). Factor 45/2*p**2 - u*p**3 + 5/2*p - 45/2.
-5*(p - 9)*(p - 1)*(p + 1)/2
Let j(c) be the first derivative of c**4 - 212*c**3/3 + 206*c**2 - 204*c + 2269. Let j(g) = 0. What is g?
1, 51
Let n be 162/(-357) + (-64)/(-112). Let s be (16/408)/((-2)/(-48)). Factor -14/17 - s*t - n*t**2.
-2*(t + 1)*(t + 7)/17
Let c(m) be the second derivative of -55/12*m**4 + 0*m**2 + 7/4*m**5 + 0 + 25/6*m**3 + 119*m - 1/6*m**6. What is z in c(z) = 0?
0, 1, 5
Suppose 0*a + 2/11*a**3 + 0 - 56/11*a**2 = 0. Calculate a.
0, 28
Let o be (0/1)/(-2*21/14). Factor -3*y**3 - 6*y**3 + o*y**4 + 3*y**4 + 0*y**3.
3*y**3*(y - 3)
Let p = 313 + -298. Suppose 104*n**3 - 502*n - 13*n**3 + 12*n + p*n**4 + 109*n**3 + 595*n**2 = 0. Calculate n.
-7, 0, 2/3
Suppose -128 = -4*k + h, 2*k - k + 3*h - 45 = 0. Let s be (-6)/8*(154/k)/(-7). Solve 1/6*n**2 + 1/3 + s*n = 0 for n.
-2, -1
Suppose -10*i = -181 - 99. Find m such that 10 - 5*m**3 + 15*m**2 - 10*m - 5*m**4 + 7*m + i*m = 0.
-1, 2
Factor -3/5*l**4 - 29176128/5 - 10316784/5*l - 201132/5*l**2 - 1341/5*l**3.
-3*(l + 3)*(l + 148)**3/5
Let t be 1 + (-24)/30 - (-28)/10. Factor 10*o + 56 + o**3 - 11*o**t - 2*o**2 + 54*o.
-2*(o + 1)*(o + 2)*(5*o - 14)
Let i(y) be the third derivative of y**5/12 + 2135*y**4/12 + 911645*y**3/6 - 1446*y**2. Let i(u) = 0. Calculate u.
-427
Suppose 5*y - 1080 = 5*i, 0 = 4*y + 2*i - 555 - 333. Let j be 10/44 - (-60)/y. Factor j*u + 1/4*u**2 + 1/4.
(u + 1)**2/4
Let x(k) be the third derivative of -1/840*k**7 + k**2 + 1/80*k**5 - 11/96*k**4 + 1/4*k**3 + 0*k + 1/160*k**6 + 27. Factor x(h).
-(h - 3)*(h - 1)**2*(h + 2)/4
Let v(k) = -11*k**2 + 54*k - 5. Let q = -393 + 381. Let g(s) = 27*s**2 - 135*s + 12. Let i(p) = q*v(p) - 5*g(p). Find j such that i(j) = 0.
0, 9
Suppose -293 + 59 = -9*y. Suppose 0 = -5*c, y*a + 5*c = 23*a + 6. Factor 2/3*p**a + 0*p - 2/3.
2*(p - 1)*(p + 1)/3
Let i = -6 + -3. Let d be 14/10 - i/15. Let -6*f**5 + 2*f**5 - f**4 + d*f + 2*f**5 - 3*f**4 + 4*f**2 = 0. Calculate f.
-1, 0, 1
Let z(r) = 97*r**2 + 359*r - 223. Let j(u) = -37*u**2 - 179*u + 112. Let x(h) = -5*j(h) - 2*z(h). Factor x(f).
-3*(f - 19)*(3*f - 2)
Let a(g) be the third derivative of 1/630*g**7 + 25*g**2 + 0 + 5/36*g**5 - 3/8*g**4 + 5/9*g**3 - 1/40*g**6 + 0*g. Solve a(t) = 0.
1, 2, 5
Let z = 2825049/4 - 706261. Factor 0 - z*n + 1/4*n**3 + n**2.
n*(n - 1)*(n + 5)/4
Suppose 4*k = 14*q - 11*q + 397, -q = -2*k + 199. Factor -88*a + 39*a**3 - 252*a - 14*a**2 + k + 138*a**2 - 51*a**3.
-4*(a - 5)**2*(3*a - 1)
Let z(f) be the second derivative of 0*f**2 + 41*f - 5/4*f**4 - f**3 + 0 + 1/10*f**6 - 9/20*f**5 + 1/14*f**7. Find r, given that z(r) = 0.
-1, 0, 2
Let u = -1783/36 - -1/36. Let m = -1053/22 - u. Solve 60/11*q**2 - 8*q - m*q**3 + 48/11 + 2/11*q**4 = 0.
2, 3
Let w(b) = -b**3 - 1864*b**2 - 3739*b - 1880. Let a(g) = g**3 - 2*g**2 + 5. Let i(h) = 2*a(h) + w(h). Factor i(r).
(r - 1870)*(r + 1)**2
Let m = 692033/1100 - 6920/11. Let q(d) be the second derivative of -m*d**5 + 1/4*d**4 - 29*d - 1/50*d**6 + 0*d**2 - 3/10*d**3 + 0. Factor q(u).
-3*u*(u - 1)**2*(u + 3)/5
Let r(i) = -70*i**4 + 510*i**3 - 620*i**2 - 992*i + 336. Let b(p) = 14*p**4 - 102*p**3 + 125*p**2 + 198*p - 67. Let k(o) = 16*b(o) + 3*r(o). Factor k(f).
2*(f - 4)**2*(f + 1)*(7*f - 2)
Let m(y) be the first derivative of -5*y**4/4 + 80*y**3/3 + 525*y**2/2 - 2513. Suppose m(z) = 0. Calculate z.
-5, 0, 21
Let n = 658681/7 - 94095. Solve -n*z**4 + 68/7*z**3 - 96/7*z**2 - 8/7 + 52/7*z = 0 for z.
1/4, 1, 2
Let n(k) be the second derivative of k**4/30 + 26*k**3/5 - k + 529. Factor n(j).
2*j*(j + 78)/5
Suppose 2*k - 27 = -11. Suppose k = 9*g - 7*g. Determine o so that 10 + 14 - 22 - g*o + 2*o**2 = 0.
1
Let d be 2*-9 + (-1904)/(-168) + 35/5. Factor d*z**2 + 25/3 + 10/3*z.
(z + 5)**2/3
Suppose -5*t + 30 = 5*b, -3*b - 2*b + 14 = t. Suppose -t*j + 28 = -2*w + 30, 0 = 2*j - 2. Factor -15/7*c**w - 12/7*c**4 + 0*c - 3/7*c**5 + 0 - 6/7*c**2.
-3*c**2*(c + 1)**2*(c + 2)/7
Let z be (-8)/60 - 94948/(-210). Let t = z - 450. Let 4/9*k - 2/9 - 2/9*k**t = 0. What is k?
1
Let v(s) be the third derivative of 0*s**4 - 1/336*s**8 + 1/20*s**5 + 0 + 0*s + 1/120*s**6 - 1/70*s**7 + 0*s**3 + 132*s**2. Find d, given that v(d) = 0.
-3, -1, 0, 1
Let c(k) be the first derivative of -16*k**6/3 + 112*k**5 + 471*k**4/2 - 574*k**3/3 + 38*k**2 + 2736. Determine t, given that c(t) = 0.
-2, 0, 1/4, 19
Let a(v) be the second derivative of -v**5/180 + 50*v**3/27 + 2830*v. Suppose a(s) = 0. Calculate s.
-10, 0, 10
Let a(o) be the first derivative of 3*o**5/40 - o**4/4 - 5*o**3/4 + 9*o**2/2 + 34*o - 11. Let u(d) be the first derivative of a(d). Factor u(f).
3*(f - 3)*(f - 1)*(f + 2)/2
Let b = 11 - 19. Let z be 15/(-40)*5*b/20. Factor -3/8*o**2 - 3/8*o**3 + z*o + 0.
-3*o*(o - 1)*(o + 2)/8
Solve 0 - 9/4*h**3 + 3*h + 3/2*h**5 - 6*h**2 + 15/4*h**4 = 0 for h.
-2, 0, 1/2, 1
Let h(t) = -60*t**3 - 7904*t**2 - 4676*t + 3120. Let x(v) = -20*v**3 - 2635*v**2 - 1558*v + 1039. Let r(a) = -3*h(a) + 8*x(a). Factor r(j).
4*(j + 1)*(j + 131)*(5*j - 2)
Let x(p) be the third derivative of -p**6/360 - p**5/180 + 5*p**4/9 + 56*p**3/9 - 2133*p**2. Let x(l) = 0. Calculate l.
-4, 7
Suppose -69*n - 317*n + 1446 - 288 = 0. Let 2/5*k**n - 54/5 + 6/5*k**2 - 18/5*k = 0. What is k?
-3, 3
Let w(z) = z**4 + z**2 + 2*z. Let l(i) = 5*i**4 + 82*i**3 + 75*i**2 - 114*i. Let b(m) = -l(m) - 3*w(m). What is n in b(n) = 0?
-9, -2, 0, 3/4
Let m(u) be the second derivative of u**6/105 - 2*u**5/7 + 97*u**4/42 - 26*u**3/7 + 9035*u. Let m(d) = 0. What is d?
0, 1, 6, 13
Let f(q) be the first derivative of -q**4/22 - 10*q**3/3 - 747*q**2/11 - 5994*q/11 - 1604. Solve f(o) = 0 for o.
-37, -9
Let u = -808 - -817. Let c be 24/8 + 0/u. Let 3*d**4 - 3/2*d**5 + 12*d**c - 21/2*d + 3*d**2 - 6 = 0. What is d?
-1, 1, 4
What is z in 162/11*z**5 + 0 + 40/11*z + 1250/11*z**3 - 1044/11*z**4 - 408/11*z**2 = 0?
0, 2/9, 1, 5
Let h = 464522 + -464520. Let n = -3/1327 - -58397/3981. Let h + 56/3*r**3 + n*r + 94/3*r**2 = 0. Calculate r.
-1, -3/7, -1/4
Factor -121*w**3 - w**4 + 117*w**3 + 5*w**5 - 3*w**4 - w**5 + 4*w**2.
4*w**2*(w - 1)**2*(w + 1)
Let u = -32719 + 98207/3. Factor u*v + 14*v**3 + 4/3 + 88/3*v**2.
2*(v + 1)**2*(21*v + 2)/3
Suppose -43 + 67 = 4*w, 0 = -4*l - w + 94. Let d(x) be the third derivative of 0*x + 0 - 5/84*x**4 + 1/210*x**5 + 2/7*x**3 - l*x**2. Solve d(m) = 0 for m.
2, 3
Let t(l) = -l**2 + 10*l - 9. Suppose -2*z = a - 1, 4*z - a + 2 = 7. Let h be t(z). Suppose -1/6*x**3 + 1/6*x + h*x**2 + 0 = 0. What is x?
-1, 0, 1
Let i(z) = -2*z**2 - 6*z - 6. Let q be i(-3). Let b be 3/(45/q) - 64/(-10). Find t such that -t - 2*t**2 - 8*t + 23*t + b - 10*t = 0.
-1, 3
Let u(h) be the second derivative of -h**6/135 - 4*h**5/45 - 4*h**4/27 + 32*h**3/27 + 16*h**2/3 + 26*h + 88. Find z such that u(z) = 0.
-6, -2, 2
Let x = 149 + -129. Solve -5*o**2 + 52*o - 4*o**4 - 52*o**3 - o**2 - 12 + 2*o**2 + x*o**4 = 0 for o.
-1, 1/4, 1, 3
Let f = 345546 - 691077/2. Factor f*s**3 + 0 + 3/2*s**4 + 21/2*s - 39/2*s**2.
3*s*(s - 1)**2*(s + 7)/2
Let j(z) = 12*z**2 + 313*z + 1645. Let r(q) = 2*q**2 + 52*q + 274. Let b(m) = 4*j(m) - 26*r(m). Factor b(i).
-4*(i + 8)*(i + 17)
Suppose 11*c = 137*c + 190*c + 60*c - 752. Suppose -9/2*z**4 + 61/6*z**3 + 7/6*z + 2/3*z**5 + 1 - 17/2*z**c = 0. Calculate z.
-1/4, 1, 2, 3
Suppose r + 37 = -3*w, -5*w = 12*r - 16*r + 73. Factor -1/9*m**r + 4/9 + 0*m.
-(m - 2)*(m + 2)/9
Let b be 9/5 - 7/(-35). Suppose -8*a = 4*a. Factor a*x**4 - b*x + 2*x**4 + 2*x + 3*x**5.
x**4*(3*x + 2)
Let w(s) be the third derivative of -s**6/300 + 2*s**5/25 - 7*s**4/12 + 8*s**3/5 + 3944*s**2. Solve w(k) = 0.
1, 3, 8
Let v(d) = -2*d**3 + 21*d**2 - 10*d + 9. Let f be v(10). Let x = 16 + -4. Factor -f + x*q - 8*q**2 + 4*q**2 + 1.
-4*(q - 2)*(q - 1)
Let h be 207/783 + (-94)/(-1363). Suppose -10/3*s**2 + 23/3*s + h*s**3 - 14/3 = 0. Calculate s.
1, 2, 7
Let f be 5 - (5*1 - (6 + 4)). Factor -287*r - 10*r**2 + 4*r**5 + 287*r + 20*r**4 - f*r**2 - 4*r**3.
4*r**2*(r - 1)*(r + 1)*(r + 5)
Let h(p) be the third derivative of 0*p**4 - 129*p**2 + 7/40*p**6 + 0