)*(11*c - 2)
Let w(z) be the third derivative of z**8/2352 - z**7/147 + 29*z**6/840 - 8*z**5/105 + z**4/14 + 54*z**2. Suppose w(t) = 0. Calculate t.
0, 1, 2, 6
Let k(j) be the third derivative of -j**7/630 + 11*j**5/90 + j**4/3 - 5*j**3/2 - 147*j**2. Suppose k(u) = 0. Calculate u.
-3, 1, 5
Factor -97/7*b - 1/7*b**4 + 97/7*b**3 + 0 + 1/7*b**2.
-b*(b - 97)*(b - 1)*(b + 1)/7
Let r(q) be the third derivative of -1/15*q**5 + 0*q + 1/60*q**6 - 7/12*q**4 + 0 - 4/3*q**3 - 20*q**2. Factor r(i).
2*(i - 4)*(i + 1)**2
What is w in 5*w**4 + 18677*w - 27*w**3 + 180*w**2 - 28*w**3 - 18857*w = 0?
0, 2, 3, 6
Let w(m) be the first derivative of -m**3/33 + 17*m**2/11 - 3*m - 122. Factor w(f).
-(f - 33)*(f - 1)/11
Factor 64/5 + 4*d**2 - 2/5*d**3 - 64/5*d.
-2*(d - 4)**2*(d - 2)/5
Let b = 5/2158 + 1323/2158. Factor 2/13*v**3 + 0*v + b - 6/13*v**2.
2*(v - 2)**2*(v + 1)/13
Suppose -1 + 21 = 5*y. Suppose 0 = -0*x + y*x - 4*o - 20, x = -o + 7. Find r such that 30*r**5 - 4*r**3 + 3*r**4 - 15*r**3 - 3*r**2 + x*r - 17*r**3 = 0.
-1, -1/2, 0, 2/5, 1
Suppose h - 7*h = -24. Suppose 5*s - 30 = -h*b, -3*s - 2*s + 10 = 0. Let b*i - 12 + 2*i + 2 + 5*i**3 + 18*i - 20*i**2 = 0. What is i?
1, 2
Factor -3*k**2 + 16*k - 7*k**3 - k - 5*k**4 - 15*k - k**5.
-k**2*(k + 1)**2*(k + 3)
Let q = 8/6630613 + 1411458549398/33080128257. Let x = q + -2/1663. What is k in -8/3*k**3 - 1/6*k**4 - 128/3 - 16*k**2 - x*k = 0?
-4
Let r(o) = -o**2 - 2*o + 1. Let u be r(-1). Suppose -2*p + 16 = 2*m, 3*m = -3*p + m + 19. Determine z so that u*z**2 + 0*z**p - z**4 - 2*z**3 + z**3 = 0.
-2, 0, 1
Let c(s) be the second derivative of -s**4/114 + 2*s**3/19 + 212*s. Determine x, given that c(x) = 0.
0, 6
Let n(d) = d**2 - 2*d - 3. Let i be n(4). Suppose i*z - 3*z = 4. Let 2*f**2 - 4 - 6*f**z - 16*f - 3*f**2 = 0. What is f?
-2, -2/7
Let i(c) = 12*c**3 + 6*c**2 + 2*c + 8. Let z(y) = -y**3 - y**2. Let o(u) = -2*i(u) - 28*z(u). Factor o(b).
4*(b - 1)*(b + 1)*(b + 4)
Let b(h) = -h - 2. Let z be b(-6). Factor -20*a**2 + z*a + a - 6*a + 5*a.
-4*a*(5*a - 1)
Let p(n) = -2*n**3 + 5*n**2 - n - 6. Let d be p(2). Let w be d + 24*1/3. Factor 0*z**2 - 1/2*z**w + z - z**3 + 1/2.
-(z - 1)*(z + 1)**3/2
Let g be -7*(-7)/5 + (3 + 109)/(-14). Factor 0 - 3/5*c**5 + 0*c + g*c**4 - 6/5*c**3 + 0*c**2.
-3*c**3*(c - 2)*(c - 1)/5
Let n(z) be the second derivative of z**4/60 - 2*z**3/15 - z**2/2 - 523*z. What is y in n(y) = 0?
-1, 5
Let k(s) be the first derivative of s**4/12 - 29*s**3/9 + 247*s**2/6 - 169*s - 234. Find o, given that k(o) = 0.
3, 13
Let d(k) = -2 + 3*k**2 + 3 + 1 + 3*k**4 - 2*k. Let j(i) = 7*i**4 - i**3 + 7*i**2 - 5*i + 5. Suppose -12*q + 6 = -11*q. Let z(s) = q*j(s) - 15*d(s). Factor z(f).
-3*f**2*(f + 1)**2
Suppose 2*a = 5*j - 16, 2 = -0*a + 2*a + 4*j. Let i be (226/(-70) - a) + 9/21. Suppose 1/5*r**2 - 1/5*r**3 + i*r + 0 - 1/5*r**4 = 0. What is r?
-1, 0, 1
Let h(z) be the third derivative of 1/140*z**7 + 0*z + 1/40*z**5 - 1/40*z**6 + 0*z**3 + 0*z**4 + 0 + 10*z**2. Factor h(c).
3*c**2*(c - 1)**2/2
Let r(g) be the second derivative of -2*g**7/21 - 2*g**6/5 + 2*g**5/5 + 4*g**4 + 16*g**3/3 - 275*g. Determine k, given that r(k) = 0.
-2, -1, 0, 2
Let k(m) be the first derivative of m**4/7 - 4*m**3/7 - 8*m**2/7 + 48*m/7 + 241. Suppose k(v) = 0. What is v?
-2, 2, 3
Suppose 0 = 2*g - 3*g + 9. Let h be 15/4 - g/12. Let -o**h - 24 + 24 - 2*o**2 + 3*o**3 = 0. What is o?
0, 1
Factor -13*q**5 + 32*q**5 - 13*q**5 - 40*q**3 + 192*q + 18*q**4 - 160 - 32*q**2 - 8*q**5.
-2*(q - 5)*(q - 2)**3*(q + 2)
Let t(d) be the third derivative of -d**9/20160 + d**7/1680 - d**5/30 + d**2. Let y(w) be the third derivative of t(w). Factor y(n).
-3*n*(n - 1)*(n + 1)
Let u(s) be the second derivative of -s**4/48 + 19*s**3/24 + 5*s**2/2 + 17*s - 2. Let u(k) = 0. What is k?
-1, 20
Suppose 0 = 7*s - s - 6. Let r be -4 + s - 0 - (-17)/5. Determine t so that 2/5*t**5 - 4/5*t**2 + 0*t**3 + 0 + 4/5*t**4 - r*t = 0.
-1, 0, 1
Let a be (-80)/(-72)*((-22)/(-10) + -2). Let j(i) be the first derivative of -2/15*i**5 - a*i**3 + 0*i**2 - 3 - 1/3*i**4 + 0*i. Factor j(r).
-2*r**2*(r + 1)**2/3
Let k = 47 + -47. Let u(h) be the second derivative of -1/4*h**4 + 6/5*h**5 - h**3 - 1/2*h**6 + 3*h + 0 + k*h**2. Factor u(x).
-3*x*(x - 1)**2*(5*x + 2)
Let d(v) be the second derivative of 0 + 20*v + v**4 + 0*v**2 - 1/10*v**5 + 0*v**3. Factor d(o).
-2*o**2*(o - 6)
Let q(j) be the second derivative of 0 - 1/140*j**5 - 34*j - 18/7*j**3 + 108/7*j**2 + 3/14*j**4. Factor q(v).
-(v - 6)**3/7
Let w(g) be the first derivative of g**6/10 - 9*g**5/20 + 2*g**3 + 4*g - 17. Let x(u) be the first derivative of w(u). Factor x(h).
3*h*(h - 2)**2*(h + 1)
Let w(v) = -v**3 - 7*v**2 - 35*v - 477. Let k be w(-9). Find h such that -1/11*h**2 + 1/11*h**3 + k*h - 1/11*h**5 + 1/11*h**4 + 0 = 0.
-1, 0, 1
Let s(w) be the first derivative of 2*w**5/55 - 4*w**3/33 + 2*w/11 - 89. Factor s(r).
2*(r - 1)**2*(r + 1)**2/11
Let m = 37 + -26. Suppose -4*s + 11 = m. Solve -1/7*w**4 + s*w + 0*w**3 + 1/7*w**2 + 0 = 0.
-1, 0, 1
Let h(y) = 277*y - 2766. Let i be h(10). Factor -4/5*s**3 + 0 - 2/5*s**5 - 6/5*s**i + 0*s + 0*s**2.
-2*s**3*(s + 1)*(s + 2)/5
Let c(g) = 6*g**3 - 53*g**2 - 18*g + 84. Let h be c(9). Factor -2/3*z**4 + 8/3*z + 0 + 10/3*z**h - 16/3*z**2.
-2*z*(z - 2)**2*(z - 1)/3
Let w(g) be the third derivative of -g**7/735 + g**6/210 - g**2 - 5. Factor w(n).
-2*n**3*(n - 2)/7
Let u(q) = -6*q**2 + 4*q + 2. Let m(i) = -i**2 + 8*i + 3. Let h be m(8). Let g(b) = -4 + 4*b**2 + 5 - 3*b - h + 1. Let a(r) = -8*g(r) - 5*u(r). Factor a(d).
-2*(d - 1)**2
Factor -53/6*x**4 - 389/3*x**3 - 1013/3*x**2 - 1925/6*x - 1/6*x**5 - 625/6.
-(x + 1)**3*(x + 25)**2/6
Let h(u) be the second derivative of 0 - 1/24*u**4 + 1/2*u**2 + 19*u - 1/12*u**3. Determine r, given that h(r) = 0.
-2, 1
Let k be (0/(-1))/(-28 + 21). Let q(g) be the second derivative of 1/13*g**3 - 6*g + 2/13*g**2 + k + 1/78*g**4. Factor q(b).
2*(b + 1)*(b + 2)/13
Let b = -10339 + 41365/4. Suppose 3/4*l**3 - 3/2*l**2 + 0 - b*l = 0. Calculate l.
-1, 0, 3
Let k = 27 - 12. Determine h, given that 15*h**2 - 4*h - 6*h**3 - k*h**4 + h**3 - 5*h**5 + 14*h = 0.
-2, -1, 0, 1
Factor -60 - 4*o + 113*o**2 - 108*o**2 + 25 - 26*o.
5*(o - 7)*(o + 1)
Let d(l) be the first derivative of 3*l**4/32 + 9*l**3/2 + 207*l**2/16 + 51*l/4 + 301. What is h in d(h) = 0?
-34, -1
Let j = -198/155 + 52/31. Let g(u) be the first derivative of -4 - j*u**3 - 2/5*u**2 + 0*u - 1/10*u**4. Solve g(c) = 0 for c.
-2, -1, 0
Let y(g) = -g**2 + 17*g + 20. Let n be y(18). Solve 4*u + 10*u - 30*u**3 + n*u**2 + 0*u - 10*u = 0 for u.
-1/3, 0, 2/5
Let g = -151801/5358 + -3/1786. Let p = g - -89/3. Factor -1/3*f**2 - p*f - 4/3.
-(f + 2)**2/3
Let w(z) be the first derivative of z**6/1980 - z**5/110 + 3*z**4/44 + 13*z**3/3 + 2. Let n(k) be the third derivative of w(k). Factor n(s).
2*(s - 3)**2/11
Let m(h) be the first derivative of h**3/3 + 216*h**2/5 + 172*h/5 + 749. Factor m(g).
(g + 86)*(5*g + 2)/5
Suppose 2*p = 5*q + 59, q - 6 - 47 = -2*p. Find d, given that -4*d**2 + p*d - 24 - 3*d - 19 + 7 = 0.
3
Suppose -200/3 - 2/3*w**2 - 40/3*w = 0. What is w?
-10
Let g(a) = -a**3 - 3*a**2 + 10*a + 4. Let b be g(-5). Factor 8*m**3 + 4*m + 508 - 508 - 10*m**2 - 2*m**b.
-2*m*(m - 2)*(m - 1)**2
Let a(w) = 1. Let q(n) = -4. Let k(l) = -3*a(l) - q(l). Let c(z) = 3*z**3 + 2. Let p(v) = c(v) - 2*k(v). Factor p(d).
3*d**3
Let p = -7549 - -7553. Solve -74/17*w**3 + 14/17*w**p + 132/17*w**2 - 88/17*w + 16/17 = 0.
2/7, 1, 2
Find t, given that -t**2 - 4 + 17*t - 5*t - 16*t**2 + 9*t = 0.
4/17, 1
Let x be (0/1)/(-15 + 14). Let s(k) be the first derivative of -4*k**2 - 2 - 52/3*k**3 - 18*k**4 + x*k. Find r, given that s(r) = 0.
-1/2, -2/9, 0
Let c(m) be the first derivative of m**7/1260 - m**6/240 + m**5/120 - m**4/144 + 11*m**2/2 - 12. Let a(z) be the second derivative of c(z). Factor a(d).
d*(d - 1)**3/6
Let h = 23 + -20. Factor o**2 - h*o + 3*o**2 - 3*o**2 - 4*o**2.
-3*o*(o + 1)
Let p be 0 + 1/(-3) + 52/12. Suppose 4*i - 14 = -2*n, 2*n + 0*n = 3*i. Suppose -6*q**2 + 2*q**3 - p*q**3 + 0*q**3 - i - q - 5*q = 0. What is q?
-1
Factor -2*x**2 - 10 + 6 + 5*x + x**2.
-(x - 4)*(x - 1)
Suppose 2/9*p**5 + 40/9*p - 2/9*p**4 + 8/3 + 2/9*p**2 - 2*p**3 = 0. Calculate p.
-2, -1, 2, 3
Suppose 10*z + 2*z + 17196 = 0. Let v = z - -8617/6. Let -3/2*s**3 - v*s 