 derivative of -5*g**6/6 + 7*g**5 - 75*g**4/4 + 25*g**3/3 + 40*g**2 - 60*g + 1173. What is n in t(n) = 0?
-1, 1, 2, 3
Let d = 1 - -7. Let q be 60/(d/2) + 1. Factor t**2 + 12 - 28*t + 2*t**2 + q*t.
3*(t - 2)**2
Let c be (-1044)/(-260) + 3*12/(-9). Let x = c + 9/65. Determine n so that x*n**2 + 0 + 10/13*n = 0.
-5, 0
Let b(g) = 5*g**2 + 57*g - 55. Suppose 3*m = 5*m - r - 12, 4 = 2*r. Let j(t) = -3*t**2 - 29*t + 28. Let h(l) = m*j(l) + 4*b(l). Determine n so that h(n) = 0.
1, 24
Let f(q) be the first derivative of 2*q**3/15 + 12*q**2 + 742*q/5 - 3453. Find n, given that f(n) = 0.
-53, -7
Let l(g) be the first derivative of 0*g + 190 - 3/4*g**4 + 6*g**3 + 21/2*g**2. Suppose l(q) = 0. What is q?
-1, 0, 7
Factor n**2 - 1/2*n**3 + 1/2*n - 1.
-(n - 2)*(n - 1)*(n + 1)/2
Let j(p) be the second derivative of -p**4/14 - 95*p**3/7 - 156*p**2 + 7539*p. Let j(b) = 0. Calculate b.
-91, -4
Suppose -471*j - 347*j = -966*j + 592. Let 11/3*x**2 - 1/3*x**j + x**3 - 10/3 - x = 0. Calculate x.
-2, -1, 1, 5
Let j(d) be the second derivative of d**4/12 + 943*d**3/3 + 889249*d**2/2 + 67*d - 6. Factor j(i).
(i + 943)**2
Let x(j) be the first derivative of 3/5*j**5 - 84*j**2 + 116 + 9/2*j**4 - 3*j**3 - 144*j. Factor x(z).
3*(z - 3)*(z + 1)*(z + 4)**2
Suppose 640/3*w - 2/3*w**4 - 62/3*w**3 - 148*w**2 + 1024/3 = 0. Calculate w.
-16, -1, 2
Suppose -53*g = -49*g + 5*b - 10, 5*g + 3*b = 19. Factor s**4 - 25*s**2 + g*s - 5*s**3 - 13*s**2 + 37*s**2.
s*(s - 5)*(s - 1)*(s + 1)
Let x(q) be the third derivative of -4*q**4/3 - 53*q**3 - 20*q**2 + 9. Let l be x(-10). Factor 2/5*p**4 + 0*p**3 - 6/5*p**l - 4/5*p + 0.
2*p*(p - 2)*(p + 1)**2/5
Let b be (-2)/(7 + -3)*0. Let s(a) = 13*a. Let l be s(b). Determine o, given that l*o - 2/11 + 6/11*o**2 + 4/11*o**3 = 0.
-1, 1/2
Let b(c) = 13*c**3 + 6*c**2 + 3*c - 10. Let w(h) = 4*h**3. Let d(r) = 2*b(r) - 6*w(r). Factor d(o).
2*(o - 1)*(o + 2)*(o + 5)
Find b such that 50/9*b**2 + 68/3*b + 16/9 = 0.
-4, -2/25
Suppose -2364 = -25*m + 13111. Factor -1254 + 627 + 12*x - 6*x**2 + x**3 + m.
(x - 2)**3
Suppose -c = -d - 6*c + 69, 0 = -3*d - 5*c + 227. Let a = 82 - d. Factor 70*z + 3*z**2 - 115*z - 5*z**a - 33*z**2.
-5*z*(z + 3)**2
Let x = -2741 + 2741. Let a(k) be the second derivative of -16*k + 0*k**2 + 0 + 0*k**5 + 1/210*k**7 + x*k**3 + 0*k**4 - 1/150*k**6. Factor a(o).
o**4*(o - 1)/5
Suppose m + 5 = 0, 19*s = 18*s + 4*m - 117. Let u = s + 139. Factor -6/13*x - 4/13 - 2/13*x**u.
-2*(x + 1)*(x + 2)/13
Let w be (-4)/(-6) + (-6)/27. Let z = -103/1697 - -3703/5091. Let z*f**4 + 0*f + 10/9*f**3 + 0 + w*f**2 = 0. What is f?
-1, -2/3, 0
Let m(l) be the second derivative of -l**4/3 + 8*l**3 + 216*l**2 + 794*l. Factor m(h).
-4*(h - 18)*(h + 6)
Let o(x) = -x**3 + 43*x**2 - 175*x + 9639. Let z be o(44). Factor 5/3*w**4 + 5*w**z + 10/3*w - 25/3*w**2 + 0 - 5/3*w**5.
-5*w*(w - 1)**3*(w + 2)/3
Let x = 52998 + -370954/7. Factor x*a - 30/7 - 2/7*a**2.
-2*(a - 15)*(a - 1)/7
Let j = -135 + 139. Factor 87*r + 36*r**3 - 15*r - 15*r**4 + 33*r**2 - 138*r**2 + 12*r**j.
-3*r*(r - 8)*(r - 3)*(r - 1)
Find v such that 107*v**2 - 119*v + 102*v**2 - 227*v - 130*v - 210*v**2 = 0.
-476, 0
Let d(u) be the third derivative of -u**7/420 - 31*u**6/240 + u**5/40 + 1365*u**4/16 - 1323*u**3/2 + 1135*u**2. Factor d(y).
-(y - 9)*(y - 2)*(y + 21)**2/2
Let b be (-4 + 0)/(44/(-33)). Let c be (-15)/b - 77/(-14). Factor c*p**2 - 5/2*p + 0.
p*(p - 5)/2
Let j(g) be the first derivative of -145/3*g**3 + 5/2*g**4 + 28 + 280*g**2 - 245*g. Suppose j(u) = 0. What is u?
1/2, 7
Suppose o - 2*h - 15 = -12, -5*h = 3*o - 20. Suppose 0 = -x - 4*x + 75. Factor 5*z**5 + 10*z**3 - 8*z**4 - 7*z**4 + 5*z**5 + 5 + 10*z**2 - x*z - o*z**5.
5*(z - 1)**4*(z + 1)
Let d be 1/(-4) - (-67)/28. Let o = 459803 - 459800. Let -3/7*x**o - d*x - 18/7*x**2 + 0 = 0. Calculate x.
-5, -1, 0
Determine u, given that -36*u**2 - 5*u**5 - 2*u**3 + 13 + 28*u**4 + 41 + 4*u**5 + 7*u - 22*u**4 + 20*u = 0.
-2, -1, 3
Let r(d) be the second derivative of -3*d**5/20 + 39*d**4/2 - 1521*d**3/2 + 13*d + 46. Factor r(i).
-3*i*(i - 39)**2
Suppose -578 = -227*u - 180*u + 118*u. Let 3/7 - 9/7*t - 3/7*t**3 + 9/7*t**u = 0. What is t?
1
Let d be (-18)/24 + 2/(-8). Let l be (0 + d)*(-18 - -15). Factor 0*j + l*j**3 + 0*j**4 - 3*j + 5*j**2 + 3*j**4 - 8*j**2.
3*j*(j - 1)*(j + 1)**2
Let y = 7811 - 46865/6. Let a = -53 + 55. Factor y*v**a + 1/6*v**3 + 0*v + 0.
v**2*(v + 1)/6
Let x = 1046701/5 + -209339. Solve x*i**3 - 4 - 46/5*i - 4*i**2 = 0.
-1, -2/3, 5
Let g be (-140)/(-44) + -3 + (-558)/1617. Let o = 25/147 - g. Suppose -2/3*x**3 + 0 + 0*x - o*x**4 + 0*x**2 = 0. Calculate x.
-2, 0
Let v(x) be the third derivative of -1/15*x**5 + 2/3*x**4 + 4*x**2 + 0*x + 8/3*x**3 - 1/30*x**6 - 2. Find b such that v(b) = 0.
-2, -1, 2
Let u(w) be the first derivative of 3*w**4 - 1573*w**3 - 3549*w**2/2 + 1182*w + 1217. Determine i, given that u(i) = 0.
-1, 1/4, 394
Let k(p) be the third derivative of p**8/1512 - p**7/135 + p**6/36 - 13*p**5/270 + p**4/27 - 2248*p**2. Find g, given that k(g) = 0.
0, 1, 4
Let b(k) be the second derivative of 3 - 1/30*k**4 + k + 0*k**2 - 1/15*k**3. Find d such that b(d) = 0.
-1, 0
Let j(s) = -25*s - 3172. Let d be j(-127). Let p(u) be the second derivative of 3/7*u**4 + 0 - 5/21*u**d - 26*u - 2/7*u**2. Factor p(i).
2*(2*i - 1)*(9*i + 2)/7
Let k(q) = 2*q**3 - 16*q**2 - 24*q - 20. Let d = 171 - 175. Let a(m) = -3*m**3 + 17*m**2 + 24*m + 21. Let x(l) = d*a(l) - 5*k(l). Suppose x(j) = 0. What is j?
-2
Factor 72/5 - 3/5*k**4 + 18/5*k**2 - 84/5*k + 9/5*k**3.
-3*(k - 2)**3*(k + 3)/5
Let b(k) = -12*k**2 + 1188*k - 4558. Let o be b(95). Factor -7*m + 2 + 2*m**4 + 19/2*m**o - 1/4*m**5 - 25/4*m**3.
-(m - 2)**3*(m - 1)**2/4
Let b be 0*-10*(-1)/10. Let f be 2/4*b/(16/4). Factor 0*u**2 - 1/3*u**5 + 0 + f*u**3 - 1/3*u**4 + 0*u.
-u**4*(u + 1)/3
Let x be 12/14*245/70. Let -2*q**x + 28*q**2 + 3*q**3 + 5*q**3 - 10*q**3 = 0. Calculate q.
0, 7
Let h be (1/(-1))/(1/9). Let o be (3/h)/((-2)/24). Factor i**4 - 12*i + 15*i**3 + 14*i**2 - 2*i**2 - 10*i**o.
-3*i*(i - 2)*(i + 1)*(3*i - 2)
Let q = 5110 + -5108. Let a(c) be the second derivative of 0 - 5/12*c**4 - 6*c + 5/2*c**q - 5/6*c**3 + 1/4*c**5. Factor a(d).
5*(d - 1)**2*(d + 1)
Suppose -89*a - 2 = -87*a, -4*h + 4*a = -104. Let i(g) be the first derivative of 0*g**2 + 0*g - 2*g**3 - 3/8*g**4 - h. Find v such that i(v) = 0.
-4, 0
Let r(v) be the first derivative of -33 - 4/19*v**2 - 2/57*v**3 - 6/19*v. Factor r(j).
-2*(j + 1)*(j + 3)/19
Let i(t) = 3*t + 128*t**2 + 9*t + 12 - 122*t**2. Let x(n) = -13*n**2 - 24*n - 25. Let p(m) = 7*i(m) + 3*x(m). Solve p(c) = 0 for c.
-3, -1
Suppose 8*n = 3*n - 5. Let g be 15*((-2)/6)/n. Find o, given that -o**2 - 4*o**3 + g*o**3 + 3*o**2 - o**2 = 0.
-1, 0
Let y = 1898/3405 + 124/1135. Factor 4/9 - y*b + 0*b**2 + 2/9*b**3.
2*(b - 1)**2*(b + 2)/9
Let l be ((-8)/7 - (-300)/(-350)) + 7. Let x(c) be the third derivative of 0*c**3 + 14*c**2 + 0*c**4 + 1/210*c**l + 0 + 1/420*c**6 + 0*c. Factor x(n).
2*n**2*(n + 1)/7
Let b(w) be the first derivative of 88 + 26/3*w**6 + 4*w**2 + 0*w + 45*w**4 - 164/5*w**5 - 76/3*w**3. Suppose b(t) = 0. Calculate t.
0, 2/13, 1
Let z be (-22)/154*42/(-12). Let b(l) be the second derivative of 0 + 2*l - z*l**3 + 1/20*l**5 + 0*l**4 + l**2. Let b(g) = 0. Calculate g.
-2, 1
Let v(h) be the first derivative of -14/9*h**6 + 0*h - 26/3*h**4 + 32/9*h**3 + 91 + 0*h**2 + 20/3*h**5. Suppose v(c) = 0. Calculate c.
0, 4/7, 1, 2
Suppose 0 = -4*t + 16 + 4. Suppose -7 = 8*p - 79. Find j, given that j**3 - t*j**3 - 15*j**2 + 15 - 5*j + p*j**3 = 0.
-1, 1, 3
Let n = -15264 + 15270. Let f(t) be the second derivative of 1/12*t**n + 0*t**4 - 5/6*t**3 + 2*t - 5/4*t**2 + 1/4*t**5 + 0. Factor f(m).
5*(m - 1)*(m + 1)**3/2
Factor -3*h**3 - 6*h**2 - 528115*h + 528172*h + 24*h**2 - 68 - 4.
-3*(h - 8)*(h - 1)*(h + 3)
Let o(m) = -m**3 + 2*m**2 + 5*m - 3. Let x be o(3). Factor b - 5*b - 2*b**x - 389*b**2 + 395*b**2.
-2*b*(b - 2)*(b - 1)
Let g(v) be the second derivative of v**6/90 - v**5/15 - v**4/2 - 4*v**3/3 - 5*v**2/2 + 90*v. Let r(i) be the second derivative of g(i). Factor r(f).
4*(f - 3)*(f + 1)
Suppose 88 = 25*z - 37. Let c be (-19)/(-18) + z/(-32 - -2). Factor 0 + c*x - 44/9*x**2 + 64/9*x**3 - 28/9*x**4.
-4*x*(x - 1)**2*(7*x - 2)/9
Let c(l) be the first derivative of l**5/35 + 3*l*