0 - g**3 + g = 0. Calculate g.
-1, 0, 1, 4
Let v(k) be the third derivative of 11*k**5/210 - 1571*k**4/84 - 286*k**3/21 - 269*k**2. Find i such that v(i) = 0.
-2/11, 143
What is p in 3/2*p**2 - 17/2*p + 5 - 1/2*p**4 + 5/2*p**3 = 0?
-2, 1, 5
Let r be 3*5 + -44 + 8280/280. Let o be ((-2)/4)/((-14)/16). Find p such that -2/7*p**5 - 2/7*p**4 + o*p**2 - 2/7 - 2/7*p + r*p**3 = 0.
-1, 1
Let k(x) be the third derivative of 56*x**7/45 + 1001*x**6/45 + 21289*x**5/180 + 715*x**4/12 + 25*x**3/2 - 2*x**2 + 220. Let k(u) = 0. Calculate u.
-5, -3/28
Let n(l) be the first derivative of 2*l**4 - 32/3*l**3 + 0*l + 4/5*l**5 + 315 + 0*l**2. What is q in n(q) = 0?
-4, 0, 2
Let q(g) be the second derivative of 3/5*g**5 + 5/2*g**4 + 23*g + 0*g**2 + 0 + 1/20*g**6 + 4*g**3. Let q(u) = 0. What is u?
-4, -2, 0
Let i = 32664/5 + -130651/20. Let 3*y - i*y**2 - 5 = 0. What is y?
2, 10
Let f(x) be the second derivative of x**6/180 - x**5/10 + 2*x**4/3 + 8*x**3 + 24*x. Let y(z) be the second derivative of f(z). Factor y(v).
2*(v - 4)*(v - 2)
Let q(c) be the second derivative of -c**4/18 - 6896*c**3/9 - 11888704*c**2/3 + 8*c - 448. Factor q(j).
-2*(j + 3448)**2/3
Let z(f) be the second derivative of 63*f + 1/10*f**6 + 11/4*f**4 - 9/5*f**5 + 0 + 0*f**3 + 0*f**2. Determine d, given that z(d) = 0.
0, 1, 11
Suppose -5*p = 2*p - 28. Let a be -2*((-18)/8)/(6/p). Suppose -3*b**4 - 10*b - 5*b**5 - b**4 - 6*b**2 + b**2 + 15*b**a + 9*b**4 = 0. Calculate b.
-1, 0, 1, 2
Let f(c) be the first derivative of 25 - 8/9*c**2 - 1/27*c**4 + 4*c + 10/27*c**3. Let j(r) be the first derivative of f(r). Find g such that j(g) = 0.
1, 4
Let b(h) be the first derivative of -h**3/18 - 81*h**2/4 - 121*h/3 + 1414. Let b(r) = 0. What is r?
-242, -1
Let q be ((-7)/147)/((-1)/4). Let t = 4467 + -4467. Let t - q*y**3 + 4/21*y - 10/21*y**4 + 10/21*y**2 = 0. Calculate y.
-1, -2/5, 0, 1
Let s(k) be the first derivative of 2*k**4 + 214*k**3/3 - 139*k**2 + 56*k - 1248. Let s(h) = 0. Calculate h.
-28, 1/4, 1
Let a(p) = -p**2 - 2*p + 2. Let l be a(-2). Let q be (-5 - (-108)/32) + -4 + 6. Factor -3/8*g - 3/4 + q*g**l.
3*(g - 2)*(g + 1)/8
Let n(g) be the first derivative of -2*g**6 - 59*g**5/5 - 15*g**4/2 + 116*g**3/3 - 3*g**2 - 9*g - 3377. Solve n(o) = 0 for o.
-3, -1/4, 1/3, 1
Let w(d) be the first derivative of 1/15*d**5 + 0*d + 0*d**2 - 1/3*d**4 - 46 - 5/9*d**3. Find q, given that w(q) = 0.
-1, 0, 5
Let p(l) be the second derivative of -l**8/1176 - 19*l**7/735 - 3*l**6/70 - 255*l**2/2 - 3*l + 40. Let u(r) be the first derivative of p(r). Solve u(o) = 0.
-18, -1, 0
Let d be 2/(192/(-216)) + 198/24. Find m such that -44/7*m - 12/7*m**3 + 15/7 - 1/7*m**4 + d*m**2 = 0.
-15, 1
Suppose 4*x - 2 = 2. Determine d, given that -20*d**3 + 112*d**2 - 48 - 52*d + 7 + x = 0.
-2/5, 1, 5
Let z(o) = o**3 + 398*o**2 - 1780*o + 1792. Let g(w) = w**3 + 8*w**2 + 2. Let t(n) = 4*g(n) + z(n). Factor t(b).
5*(b - 2)**2*(b + 90)
Let 128*k**4 - 1415*k**2 + 5*k**5 + 225*k**3 - 13*k**4 + 44828*k - 43158*k - 600 = 0. What is k?
-20, -6, 1
Let x(s) be the second derivative of s**5/170 - 19*s**4/34 - 4*s**3/51 + 228*s**2/17 + 4*s - 217. Factor x(z).
2*(z - 57)*(z - 2)*(z + 2)/17
Factor -66576/11*o**2 + 31974/11*o**3 + 5310/11*o - 108/11.
6*(o - 2)*(73*o - 3)**2/11
Let o(z) be the second derivative of z**5/200 + 3*z**4/8 + 15*z**3/2 - 36*z + 3. Determine f, given that o(f) = 0.
-30, -15, 0
Find d, given that 1/2*d**2 - 53/2*d - 177 = 0.
-6, 59
Let z(q) be the third derivative of -98*q**2 + 0*q**4 + 1/1050*q**7 - 1/600*q**6 + 0*q**3 - 1/50*q**5 + 0 + 0*q. Factor z(t).
t**2*(t - 3)*(t + 2)/5
Let k(i) be the first derivative of -i**4/16 - 5*i**3/2 - 27*i**2/8 + 29*i/2 + 1521. Suppose k(s) = 0. What is s?
-29, -2, 1
Let n(t) be the first derivative of -2/27*t**3 - 8/9*t**2 + 134 - 14/9*t. Solve n(r) = 0.
-7, -1
Let t(l) be the second derivative of -2*l**7/21 - 452*l**6/15 - 12769*l**5/5 + l - 292. Factor t(a).
-4*a**3*(a + 113)**2
Suppose 3*s + s = -8, -2*x = -3*s - 16. Suppose j + 5*c - 4*c = 0, -x*c - 3 = 4*j. Factor 9*o**2 + j*o + 4*o**2 - 10*o**2.
3*o*(o + 1)
Let h be 50/75*1/(4/8). Let q(w) be the first derivative of w**2 + 0*w + 2/3*w**3 - 30 - h*w**6 - 9/2*w**4 + 22/5*w**5. Factor q(x).
-2*x*(x - 1)**3*(4*x + 1)
Let s(z) = -20*z**3 + 720*z**2 + 3960*z - 4685. Let n(y) = 11*y**3 - 359*y**2 - 1980*y + 2343. Let o(k) = 5*n(k) + 3*s(k). What is t in o(t) = 0?
-6, 1, 78
Let b be (14 + (-408)/17 - -8)*9/((-180)/88). Factor b*c - 2/5*c**2 + 96/5.
-2*(c - 24)*(c + 2)/5
Let p(j) = -27*j**2 - 39*j - 9. Let x be p(-1). Let i(m) be the second derivative of 0 - 19*m - 3/7*m**x + 1/28*m**4 + 3/140*m**5 + 0*m**2. Factor i(s).
3*s*(s - 2)*(s + 3)/7
Let m be 5/10 - (-4369)/34. Suppose 0 = -42*v + 375 + m. Factor -32*g - 64/3 - 4/3*g**3 - v*g**2.
-4*(g + 1)*(g + 4)**2/3
Solve -5/3*q**2 - 6220/3*q - 1934420/3 = 0.
-622
Let n(x) be the first derivative of -5*x**3/3 - 1345*x**2/2 - 1340*x - 1161. Factor n(s).
-5*(s + 1)*(s + 268)
Let d(h) = h**3 - 8. Let j(m) = -4*m**4 - 20*m**3 + 28*m**2 - 24*m + 160. Let y(f) = -20*d(f) - j(f). Factor y(x).
4*x*(x - 2)*(x - 1)*(x + 3)
Let x be (-7 + 28/10)*-5. Suppose -x*l**4 - 45*l**5 - 378*l + 0*l**5 + 216*l**2 + 48 + 138*l + 240*l**3 - 36*l**4 = 0. Calculate l.
-2, 1/3, 2/5, 2
Let w(n) be the first derivative of -5*n**4/4 - 40*n**3/3 - 40*n**2 - 1710. Let w(m) = 0. What is m?
-4, 0
Let x be (-482)/7471 + (-123)/(-465). Let i(y) be the third derivative of 0 + 0*y**4 - 1/70*y**7 - 1/10*y**6 + 31*y**2 + 0*y + 0*y**3 - x*y**5. Factor i(b).
-3*b**2*(b + 2)**2
Let j(b) = -8*b**3 - 9*b**2 + 7*b + 5. Let z(t) = 10*t**2 + 3*t**3 - 6 + 135*t + 4*t**3 - 142*t. Let n(o) = 4*j(o) + 5*z(o). Factor n(f).
(f - 1)*(f + 5)*(3*f + 2)
Let x be (-2 - (-5 + 4))*-3. Let 2*b**4 + 18*b**2 + 1 - 1 - 29*b**3 + 41*b**x = 0. Calculate b.
-3, 0
Let m = -15 + -26. Let b = -39 - m. Solve -2*w**4 + 3 + 2*w**2 + b - 5 = 0.
-1, 0, 1
Solve -42/5 - 4*g + 62/5*g**2 = 0.
-21/31, 1
Factor -198*y**3 + 55*y**3 - 16875*y + 46*y**3 + 45*y**3 + 49*y**3 + 450*y**2.
-3*y*(y - 75)**2
Let g(f) = -188*f + 20121. Let w be g(107). Factor -128/15 - 2/15*d**w - 352/15*d - 58/3*d**2 + 26/15*d**4 - 38/15*d**3.
-2*(d - 8)**2*(d + 1)**3/15
Let y(h) be the first derivative of -h**5 + 75*h**3 + 158 + 65/4*h**4 + 80*h + 235/2*h**2. Suppose y(p) = 0. What is p?
-1, 16
Let y(u) be the first derivative of 19/6*u**2 + 1/12*u**4 + 3*u - 113 + 11/9*u**3. Determine l, given that y(l) = 0.
-9, -1
Let f(c) = -19*c**2 + 174*c + 1614. Let l(r) = -53*r**2 + 523*r + 4843. Let n(o) = 17*f(o) - 6*l(o). Factor n(s).
-5*(s + 18)**2
Factor 91136/3*d - 326/3*d**4 - 2/3*d**5 - 91648/3 - 33856/3*d**2 + 5536/3*d**3.
-2*(d - 4)**4*(d + 179)/3
Let r = 594 + -591. Factor -53*x**2 - 19*x**2 + 0*x**2 + 155*x + 14*x**2 - 27*x**2 + 5*x**r - 75.
5*(x - 15)*(x - 1)**2
Determine r so that 2535*r + 390 + 45*r**2 + 396*r + 0*r**2 = 0.
-65, -2/15
Let w(u) be the first derivative of -u**3/3 + 27*u**2 + 35*u - 227. Let y(z) = z**2 - 3*z + 1. Let o(v) = -w(v) - 4*y(v). Factor o(h).
-3*(h + 1)*(h + 13)
Let l(p) be the first derivative of 15/14*p**2 - 4/7*p**4 - 50 + 8/7*p**3 + 2/7*p. Factor l(v).
-(v - 2)*(4*v + 1)**2/7
Let -15*f**2 + 695*f - 686*f + 146*f**2 - 11*f**2 + 279*f**4 + 401*f**4 + 289*f**5 + 502*f**3 = 0. Calculate f.
-1, -3/17, 0
Suppose 7/6 - 2/3*q - 7/6*q**2 + 2/3*q**3 = 0. What is q?
-1, 1, 7/4
Let l(i) be the second derivative of 5*i**4/24 + 995*i**3/12 + 975*i**2 - 1905*i. Determine c, given that l(c) = 0.
-195, -4
Factor -189*r + 141 + 145/3*r**2 - 1/3*r**3.
-(r - 141)*(r - 3)*(r - 1)/3
Let r(c) be the second derivative of 14/5*c**5 + 0*c**2 + 20/3*c**4 + 0 + 13/30*c**6 + 0*c**3 - 103*c + 1/42*c**7. Factor r(q).
q**2*(q + 4)**2*(q + 5)
Factor -8*m + m + 106*m + 216 + 4*m**2 - 15*m.
4*(m + 3)*(m + 18)
Let v(w) be the first derivative of 1/5*w**3 - 3/20*w**4 + 91 + 0*w**2 + 0*w. Solve v(a) = 0.
0, 1
Let a(c) be the second derivative of 36*c + 0*c**2 + 1/50*c**5 - 2 + 1/15*c**3 - 1/15*c**4. What is t in a(t) = 0?
0, 1
Let r be 2/19 - (-2244)/(-9405) - (338/65 - 10). Suppose r*n**4 - 32/3*n**2 + 0 + 0*n + 2/3*n**5 - 20/3*n**3 = 0. Calculate n.
-8, -1, 0, 2
Let t(j) be the third derivative of j**5/15 - 1100*j**4/3 + 2420000*j**3/3 - 6028*j**2. Determine o, given that t(o) = 0.
1100
Let a be 3 - 0*(-1 + (-