- u - 116. Factor j(g).
-2*(g - 91)*(g + 1)*(g + 4)**3
Let t(x) be the first derivative of 2*x**6/75 - 34*x**5/125 + x**4/2 + 14*x**3/15 - 27*x**2/25 - 36*x/25 + 1161. Solve t(o) = 0.
-1, -1/2, 1, 3, 6
Let y = 4468 - 4402. Let u be (75/2)/((-6)/(-8)). Factor -9 - 17*d**3 + 157*d**3 - 38*d + u*d**4 - y*d - 62*d**2 - 15.
2*(d - 1)*(d + 3)*(5*d + 2)**2
Let n(m) = 9*m**2 - 737*m - 5. Let b(d) = 5*d**2 - 387*d - 3. Let s(l) = -5*b(l) + 3*n(l). Suppose s(t) = 0. What is t?
0, 138
Let p = 101 - 92. Let i be 30/p*-2 + 12/18. Let k(h) = -3*h**2 - 33*h - 30. Let d(s) = -s - 1. Let f(r) = i*d(r) + k(r). Find y such that f(y) = 0.
-8, -1
Let z(c) = -175*c + 153. Let v be z(-12). Factor -d**2 + v + 0*d**3 - 2*d**3 - d**4 - 2253.
-d**2*(d + 1)**2
Let a = 642439 + -642435. Let -a*c + 0 + 1/4*c**3 + 15/4*c**2 = 0. What is c?
-16, 0, 1
Factor 60 + 5/2*o - 5/4*o**2.
-5*(o - 8)*(o + 6)/4
Let v(s) be the first derivative of -s**7/2205 + s**6/420 + 2*s**5/315 + s**2/2 + 4*s - 39. Let l(o) be the second derivative of v(o). Factor l(g).
-2*g**2*(g - 4)*(g + 1)/21
Let b be (23/2)/(14/(-588)). Let u = 485 + b. Factor 0*i**3 + 1/6*i**5 + 1/3*i**u + 0 - 1/6*i - 1/3*i**4.
i*(i - 1)**3*(i + 1)/6
Let -2/7*c**3 - 74*c - 384/7 - 136/7*c**2 = 0. What is c?
-64, -3, -1
Let l(r) be the first derivative of -r**3/24 - 1103*r**2/16 + 2865. Factor l(z).
-z*(z + 1103)/8
Determine j, given that -18023*j + 67*j**3 - 1/8*j**4 - 72361/8 - 35643/4*j**2 = 0.
-1, 269
Let o be (120/(-90))/((-4)/9). Factor -9*m**2 - o + 24*m - 3*m**3 - 3*m**3 + 1 - 4 - 3.
-3*(m - 1)*(m + 3)*(2*m - 1)
Let l(w) be the second derivative of -3*w**5/10 + 1045*w**4/4 + 523*w**3/2 + 133*w - 13. Let l(b) = 0. What is b?
-1/2, 0, 523
What is m in -20/3 + 1/6*m**4 + 5*m**2 - 2/3*m + 13/6*m**3 = 0?
-10, -2, 1
Suppose 4*n + 7*y - 31975 = 2*y, 2*n + 3*y = 15985. Factor 238*q + n - 3*q**3 + 2*q**3 - 1438*q + 38*q**2 + 22*q**2.
-(q - 20)**3
Let s(b) = -16*b**5 + 24*b**4 - 32*b**3 + 12*b**2 - 12*b - 12. Let x(f) = f**5 - f**3 + f**2 + f + 1. Let c(t) = -s(t) - 12*x(t). Solve c(d) = 0.
0, 1, 2, 3
Let d(k) be the second derivative of 5*k**4/12 - 26*k**3/3 + 107*k. Let n(y) = 2*y**2 + 2*y. Let u(b) = d(b) - 4*n(b). Factor u(c).
-3*c*(c + 20)
Let k(j) = 15*j - 28. Let x(u) = 2*u**2 - 19*u - 58. Let s be x(12). Let m be k(s). Determine h, given that 2/5*h**m + 8/5*h + 8/5 = 0.
-2
Solve -703*b**2 - 698*b**2 - 700*b**2 + 7195*b - 703*b**2 + 2809*b**2 = 0.
-1439, 0
Find z, given that 492*z**2 - 249*z**2 - 248*z**2 + 5 = 0.
-1, 1
Let j = 6887/105 - 327/5. Let t(p) be the third derivative of -j*p**4 + 0 + 0*p + 4/105*p**5 + 0*p**3 + 12*p**2 - 1/420*p**6. Determine u so that t(u) = 0.
0, 4
Let v(x) = -x**2 + 13*x + 170. Suppose 25 = 4*w + 3*o - 50, 3*w = -o + 60. Let p be v(w). Factor 4/11*b - 2/11*b**3 + 0 - 2/11*b**p.
-2*b*(b - 1)*(b + 2)/11
Let u(k) be the second derivative of -5/2*k**4 + 5/6*k**6 - 5/6*k**3 + 5/14*k**7 + 0 - 1/2*k**5 + 5/2*k**2 - 84*k. Factor u(v).
5*(v - 1)*(v + 1)**3*(3*v - 1)
Let a be ((-2 - -2) + 3*(-2)/(-18))/(1342/70455). Solve a*n + 49/2*n**2 - 71/2*n**3 - 12*n**4 + 18*n**5 - 25/2 = 0.
-1, 5/6, 1
Let o(l) be the second derivative of 5*l**4/12 - 4115*l**3/3 + 8225*l**2/2 - 458*l - 2. Find g such that o(g) = 0.
1, 1645
Suppose 0 = 20*v - 17*v + 57. Let a = v + 23. Factor -g**2 + 8*g**3 + 0*g**2 - a*g + 3*g**2 - 6*g**3.
2*g*(g - 1)*(g + 2)
Solve 32/3*f - 94/3*f**4 + 136/3*f**2 + 0 - 6*f**5 - 56/3*f**3 = 0 for f.
-4, -2, -2/9, 0, 1
Let m be (-22 + 6923/315)/(-2). Let i(b) be the third derivative of -1/90*b**6 + 0*b + 1/315*b**7 + m*b**5 + 0 + 0*b**3 - 24*b**2 + 0*b**4. Factor i(u).
2*u**2*(u - 1)**2/3
Suppose 523*w = 524*w + 14, 0 = b + 3*w + 40. Find j such that -20/7*j - 22/7 + 2/7*j**b = 0.
-1, 11
Let g(l) = -8*l - 22. Let z be g(-3). Factor -4*q**4 + 72*q**z - 8*q + 21 - 72*q - 32 + 39 - 16*q**3.
-4*(q - 1)**3*(q + 7)
Let z(v) be the third derivative of -v**5/80 - 69*v**4/16 + 139*v**3/8 - 945*v**2. Find i, given that z(i) = 0.
-139, 1
Determine p, given that -15/2*p**3 - 2*p**4 + 1/2*p**5 + 14*p - 12 + 7*p**2 = 0.
-2, 1, 6
Let q be (-25)/(-8) - 91/728. Let a(v) be the first derivative of -24 + q*v**2 - 2*v - 2*v**3 + 1/2*v**4. Factor a(m).
2*(m - 1)**3
Suppose 5*g - 3 = 8*g, 0 = -q - 4*g + 132. Solve q*t - 7 - 7 - 14*t**2 + 54 = 0 for t.
-2/7, 10
Let b(w) = -2*w**3 + 49*w**2 + 26*w - 12. Let k be b(25). Factor -44*a**4 + 3*a**3 + 49*a**4 + 5*a**5 - k*a**3.
5*a**3*(a - 1)*(a + 2)
Let w(s) = -s**3 + 5*s**2 + 87*s - 34. Let g be w(12). Let b(y) be the first derivative of 0*y**3 + 23 + 0*y + 1/4*y**4 + 0*y**g. Factor b(a).
a**3
Let p(s) be the second derivative of s**5/30 + 20*s**4/9 - 173*s**3/9 + 44*s**2 - 8*s - 119. Factor p(b).
2*(b - 3)*(b - 1)*(b + 44)/3
Let j(q) be the second derivative of q**6/120 + 3*q**5/20 + 15*q**4/16 + 9*q**3/4 - 2*q + 1721. Factor j(v).
v*(v + 3)**2*(v + 6)/4
Let z(y) be the second derivative of 9*y**7/98 - 16*y**6/35 - 227*y**5/140 + 13*y**4/7 + 10*y**3/21 + 2*y - 1332. Determine s so that z(s) = 0.
-2, -1/9, 0, 2/3, 5
Let g = -111057 - -111057. Factor -7/4*f + 1/4*f**5 + 3/2*f**3 + 2*f**2 + g - 2*f**4.
f*(f - 7)*(f - 1)**2*(f + 1)/4
Let k(g) be the first derivative of -g**5/30 + g**4/3 - 19*g**3/18 + g**2 + 1988. Factor k(i).
-i*(i - 4)*(i - 3)*(i - 1)/6
Let a(u) = -85*u - 932. Let n be a(-11). Let g(v) be the third derivative of -2/15*v**5 + 1/2*v**4 - 8/9*v**n + 1/90*v**6 + 0 + 0*v + v**2. Factor g(y).
4*(y - 4)*(y - 1)**2/3
Let p(d) = d**5 - d**4 + d**2. Let m be (-3)/2*48/24. Let s(t) = 3*t**5 - 4*t**4 + 15*t**3 + 14*t**2 - 60*t - 72. Let n(o) = m*s(o) + 12*p(o). Factor n(x).
3*(x - 3)**2*(x + 2)**3
Let p(r) be the first derivative of -r**8/1680 + r**7/140 - r**3 - 4*r + 70. Let g(m) be the third derivative of p(m). Find z, given that g(z) = 0.
0, 6
Let x(i) be the first derivative of -3*i**5/25 - 3*i**4/5 + 44*i**3/5 + 144*i**2/5 - 1091. Factor x(b).
-3*b*(b - 6)*(b + 2)*(b + 8)/5
Let o(i) be the second derivative of i**7/28 + 81*i**6/20 + 5037*i**5/40 + 1519*i**4/8 - 420*i**3 - 1200*i**2 - 843*i + 1. Determine h so that o(h) = 0.
-40, -1, 1
Let j(y) = 4*y - 8. Let x be j(2). Suppose x*a - 2*v - 24 = -5*a, -3*a + 2*v + 16 = 0. Factor -2*k**a - 3*k**4 + 331*k**5 - 336*k**5.
-5*k**4*(k + 1)
Let v(u) = -20*u**2 - 511*u - 491. Let f(a) = 5*a**2 + 128*a + 123. Let p(n) = 11*f(n) + 3*v(n). Factor p(w).
-5*(w + 1)*(w + 24)
Let t(i) be the first derivative of -5/3*i**2 + 51 - 1/9*i**3 + 8*i. Factor t(z).
-(z - 2)*(z + 12)/3
Suppose 51*z = 18942 - 9468 - 9270. Factor -2/3*p**z + 6*p - 2/9*p**5 - 76/9*p**2 - 14/9 + 44/9*p**3.
-2*(p - 1)**4*(p + 7)/9
Let b(y) = -2*y**5 - 21*y**4 + 29*y**3 + 6*y**2 - 6. Let g(n) = 5*n**5 + 44*n**4 - 59*n**3 - 14*n**2 + 14. Let m(r) = -7*b(r) - 3*g(r). Let m(l) = 0. What is l?
0, 2, 13
Let p = 190 + -111. Let o = 96 - p. Factor 20 - 9*h**2 + o*h**2 - 2*h**3 + 16*h**2 - 42*h.
-2*(h - 10)*(h - 1)**2
Find l, given that 82/7*l**2 - 34/7*l**3 + 114/7*l + 0 - 2/7*l**4 = 0.
-19, -1, 0, 3
Let f(k) = -11*k**3 - 23*k**2 + 11*k + 7. Let d(t) = t**3 - 5*t**2 - t + 1. Let a(q) = -4*d(q) + f(q). Let a(l) = 0. Calculate l.
-1, -1/5, 1
Let h(f) be the third derivative of -1/30*f**6 + 0*f - 24*f**2 + 0 - 5/6*f**4 + 4/15*f**5 + 4/3*f**3. Factor h(n).
-4*(n - 2)*(n - 1)**2
Let m be (0 - 24/18)/((-2)/9). Suppose 10 = 5*i + 4*f, -5*i - 2*f + m*f + 10 = 0. Factor -16 + 3*g**i - 2*g**2 + 15.
(g - 1)*(g + 1)
What is a in 2/3*a**2 - 208/3 - 44/3*a = 0?
-4, 26
Find b such that 39/7*b + 108/7*b**3 + 0 - 3/7*b**5 - 30/7*b**4 - 114/7*b**2 = 0.
-13, 0, 1
Let r(s) = 2*s**4 - 8*s**3 - 15*s**2 - 7*s + 1. Let c(i) = -i**4 + i**3 - 2*i**2 - 2*i - 1. Let l(g) = -2*c(g) - 2*r(g). Factor l(t).
-2*t*(t - 9)*(t + 1)**2
Let c = 162/31 + -562/155. Let g = -192 - -964/5. Factor 0 + g*f**3 - 12/5*f**2 + c*f.
4*f*(f - 2)*(f - 1)/5
Suppose 0 = -59*b + 33*b - 1066. Let g be b/(-5) + (1 - 0)/(-5). What is h in 4/3*h**4 - g*h**3 + 4 - 40/3*h + 16*h**2 = 0?
1, 3
Let i(o) be the first derivative of 1/9*o - 1/27*o**3 - 1/18*o**2 + 1/36*o**4 + 17. Solve i(g) = 0.
-1, 1
Factor -119 + 1096*d - 320*d**2 + 83 + 1788*d.
-4*(d - 9)*(80*d - 1)
Let y = -598311 + 598314. Determine b so that -76/3*b**y - 14/3*b**4 - 128/3 - 200/3*b**2 - 1/3*b**5 - 256/3*b = 0.
-4, -2
Let k(r) = 77*r - 148. Let c be k(2). Let 