 u(h) be the first derivative of w(h). Factor u(s).
2*s**4*(s + 1)
Let f(t) = 5*t**3 + 7*t**2 + 10*t + 2. Let n(x) = -177*x**2 + 1 + 0 + x + 178*x**2 + x**3. Let g(d) = -f(d) + 6*n(d). Suppose g(c) = 0. What is c?
-2, 1, 2
Let o(i) be the third derivative of -i**8/112 - 41*i**7/70 + 87*i**6/20 - 133*i**5/10 + 179*i**4/8 - 45*i**3/2 - 235*i**2. Factor o(f).
-3*(f - 1)**4*(f + 45)
Suppose 0 = 51*o - 58*o - 21. Let d be 8 + (16*o)/8. Factor 0*s + 0*s**d + 0*s**3 + 3/2*s**4 + 0.
3*s**4/2
Let c = -27 + 35. Suppose 0*g - 4*g + c = 0. Factor u**2 + 20*u**g + 0*u**2 + 6*u.
3*u*(7*u + 2)
Factor -5*r**2 - 31127 - 40873 - 386*r + 843*r + 743*r.
-5*(r - 120)**2
Let t(y) be the first derivative of 0*y - 5/4*y**4 - 90 - 15*y**2 - 25/3*y**3. Factor t(w).
-5*w*(w + 2)*(w + 3)
Let t(v) = -v**2 - 2*v + 2. Let a(q) = -5*q**2 - 60*q + 59. Let l(u) = a(u) - 6*t(u). Let l(g) = 0. Calculate g.
1, 47
Let s(k) be the first derivative of -3*k**4/4 - 133*k**3 - 198*k**2 - 7277. Factor s(z).
-3*z*(z + 1)*(z + 132)
Let i(d) be the first derivative of -4*d**4 - 388*d**3/3 - 364*d**2 - 356*d + 3417. Factor i(j).
-4*(j + 1)**2*(4*j + 89)
Let a = -460 + 463. Let 2*i - 241*i**a + 0*i + 481*i**3 - 242*i**3 = 0. What is i?
-1, 0, 1
Let y be (-2 - 4/3 - (-171 - -161))*(-6)/(-20). Factor -y*s**4 + 1/4*s**5 + 0 - 7*s**2 + 3*s + 23/4*s**3.
s*(s - 3)*(s - 2)**2*(s - 1)/4
Find m such that 3135/4*m**3 - 8605/4*m**2 + 390*m - 20 + 27225/2*m**4 = 0.
-1/2, 4/33, 1/5
Let u(i) be the first derivative of i**4/2 - 8*i**3 + 9*i**2 + 44*i - 1078. Find q such that u(q) = 0.
-1, 2, 11
Suppose -16 = 4*w - 28, 3*u + 4*w = 6. Let g(l) = l**2 - 40*l. Let c(y) = 8*y. Let z(a) = u*g(a) - 11*c(a). Factor z(x).
-2*x*(x + 4)
Let d = 29 - 20. Let o be d + 318/(-36) - (-10)/84. Factor -6/7*k**3 + 6/7*k + o*k**2 - 4/7 + 2/7*k**4.
2*(k - 2)*(k - 1)**2*(k + 1)/7
Factor -10944*y**2 + 695*y - 26687*y - 12397 - 8180 - 1536*y**3.
-3*(8*y + 19)**3
Let g(b) = -19886*b - 158938. Let j be g(-8). Factor 95*m - 32/3*m**2 - j + 1/3*m**3.
(m - 15)**2*(m - 2)/3
Solve -22*q - 2*q**2 + 1605782 - 24*q - 1605866 = 0.
-21, -2
Let q = -7 - -5. Let n be 3/q*(6 - 8). Factor -16*t + 15*t + t**3 - 8*t**2 - 11*t + n*t**3.
4*t*(t - 3)*(t + 1)
Let d(j) be the second derivative of -j**4/24 + 2629*j**3/36 - 73*j**2 + 7*j + 49. Determine f so that d(f) = 0.
1/3, 876
Suppose -2*h = -q - 21, 3*q + 507 = -5*h + 576. Let 30/13 - 14/13*b**2 + 2/13*b**q + 14/13*b = 0. What is b?
-1, 3, 5
Let l(u) be the second derivative of 7*u**5/40 - 31*u**4/36 + 13*u**3/12 + u**2/6 + 5736*u. Factor l(i).
(i - 2)*(i - 1)*(21*i + 1)/6
Let b(h) be the third derivative of -h**6/300 + h**5/75 + 19*h**4/60 - 4*h**3/3 + 979*h**2. Factor b(q).
-2*(q - 5)*(q - 1)*(q + 4)/5
Factor -98*v**2 + 875 - v**4 + 1121 - 252 - 256*v - 208 - 26*v**3 - 102*v**2.
-(v - 2)*(v + 8)**2*(v + 12)
Let n be (-1)/(-3) - (-116)/84. Let l be 7/224 - 10830/(-3648). Factor -n*a + 2/7 + 18/7*a**2 - 8/7*a**l.
-2*(a - 1)**2*(4*a - 1)/7
Let x(z) be the second derivative of -20*z + 0 + 27/20*z**5 - 1/2*z**4 + 0*z**3 + 0*z**2. Find c such that x(c) = 0.
0, 2/9
Let o be 24/(7/(560/(-12))). Let m be ((-4)/(o/30))/(2/8). Suppose 0 + 0*l + 6/5*l**m + 0*l**2 - 2/5*l**4 = 0. What is l?
0, 3
Let x be ((-17)/(-2))/((-1732)/(-216) - 8). What is q in -4*q**4 + 3*q**3 + 455*q - x*q - q**2 + q**3 + 5*q**2 = 0?
-1, 0, 1
Let l(o) be the third derivative of 1 + 0*o**5 - 1/132*o**4 - 24*o**2 + 0*o + 1/660*o**6 + 0*o**3. Factor l(x).
2*x*(x - 1)*(x + 1)/11
Let h(p) be the first derivative of -3*p**6/13 + 168*p**5/65 - 74*p**4/13 - 4*p**3/39 + 61*p**2/13 + 28*p/13 + 737. Solve h(m) = 0.
-1/3, 1, 2, 7
What is u in 8/15*u**3 + 0*u + 0 + 14/5*u**2 = 0?
-21/4, 0
Let k(s) be the second derivative of s**6/15 - 21*s**5/10 - 2*s**4/3 + 28*s**3 - 698*s. Factor k(u).
2*u*(u - 21)*(u - 2)*(u + 2)
Let v(s) = 16*s**2 + 10*s + 39. Let j be v(-7). Let t = j + -751. Factor 2/19*k - 2/19*k**t + 0.
-2*k*(k - 1)/19
Let w(u) be the first derivative of -u**6/10 - 249*u**5/25 + 63*u**4/5 - 2361. Solve w(y) = 0 for y.
-84, 0, 1
Let f(x) be the third derivative of x**6/1080 + 23*x**5/540 + 11*x**4/18 + 10*x**3/3 - 2*x**2 - 15*x - 30. Factor f(m).
(m + 2)*(m + 6)*(m + 15)/9
Let u(s) be the second derivative of s**7/56 - s**6/4 - 117*s**5/80 - 3248*s. Factor u(t).
3*t**3*(t - 13)*(t + 3)/4
Let h = -19 + 13. Let k be 2883/18 - (-1)/h. Find m such that -k*m**4 - 5*m**2 - 42*m**5 - 23*m**3 - 45*m**3 - 3*m**2 - 22*m**5 = 0.
-2, -1/4, 0
Let s(o) = -2*o**2 + 1302*o - 113774. Let l be s(104). Determine p, given that 201/8 + 3/8*p - 3/8*p**3 - 201/8*p**l = 0.
-67, -1, 1
Let u be (-3910)/(-1700) - (-4)/10. Let t(k) be the first derivative of 2*k**3 - 9/20*k**4 - 17 - u*k**2 + 6/5*k. Factor t(a).
-3*(a - 2)*(a - 1)*(3*a - 1)/5
Factor -2/3*l**2 - 48 + 76/3*l.
-2*(l - 36)*(l - 2)/3
Factor 6859*y**4 - 676*y - 370*y**2 - 6741*y**2 - 18411*y**3 - 24 + 841*y**2.
(y - 3)*(19*y + 2)**3
Let o(b) = -11*b**2 + 8037*b + 16136301. Let v(i) = -26*i**2 + 16075*i + 32272606. Let y(m) = -7*o(m) + 3*v(m). Factor y(a).
-(a + 4017)**2
Factor 0*g + 2/21*g**5 + 0 - 46/21*g**3 + 8/7*g**2 + 20/21*g**4.
2*g**2*(g - 1)**2*(g + 12)/21
Let k be (328/(-3690))/((-3)/5). Let y = 26/189 + k. Factor 2/7*w + 2/7*w**5 - 4/7*w**3 + 4/7*w**2 - 2/7*w**4 - y.
2*(w - 1)**3*(w + 1)**2/7
Let p(h) be the second derivative of 1/114*h**4 + 6 - 2/57*h**3 + 1/19*h**2 - 2*h. Factor p(x).
2*(x - 1)**2/19
Suppose -353879*p = -354318*p + 878. Find x such that 1/9*x**5 - 82/9*x**p + 58/9*x**3 + 53/9*x - 17/9*x**4 - 13/9 = 0.
1, 13
Let r(w) be the first derivative of -24/7*w**2 - 2/35*w**5 - 18/7*w - 44/21*w**3 - 143 - 4/7*w**4. Factor r(y).
-2*(y + 1)**2*(y + 3)**2/7
Let t(p) = p**3 - p + 1. Let c be t(-1). Let x be 19 - (c - (-3 + 8)) - -3. Determine r so that 8 - 50*r**2 + x*r**2 + r**3 + 22*r**2 - 4*r = 0.
-2, 2
Let n(i) be the third derivative of -1/60*i**5 - 8/3*i**4 - 512/3*i**3 + 0 + 0*i + 68*i**2. Let n(r) = 0. What is r?
-32
Let h(m) = 15*m**2 - 535*m + 7285. Suppose 4 - 2 = v, 4*v - 5 = -d. Let n(l) = -8*l**2 + 267*l - 3642. Let y(f) = d*h(f) - 5*n(f). Solve y(s) = 0.
27
Factor -10849*p**4 - 2*p**5 + 10829*p**4 - 3*p**5 - 25*p**3 - 10*p**2.
-5*p**2*(p + 1)**2*(p + 2)
Let z = -932 - -937. Let y = 80 + -39. Factor 53*q**2 - y*q**2 + 0 + 0 - z*q**3 - 4*q.
-q*(q - 2)*(5*q - 2)
Let r(i) be the third derivative of i**6/240 + 17*i**5/8 - i**4/48 - 85*i**3/4 - 4*i**2 + 403*i. Find k, given that r(k) = 0.
-255, -1, 1
Let i(l) be the first derivative of l**3/12 + 199*l**2/4 + 39601*l/4 + 1818. Factor i(t).
(t + 199)**2/4
Let m(b) be the second derivative of 1/12*b**4 + 0 + 149*b + 0*b**2 + 1/3*b**3. Factor m(f).
f*(f + 2)
Let n(w) be the third derivative of 35*w**2 + 1/105*w**6 - 1/1470*w**7 - 3/70*w**5 + 2/21*w**4 - 5/42*w**3 + 0*w + 0. Solve n(g) = 0 for g.
1, 5
Let f(u) = 4*u**2 + 57*u + 15. Suppose 0 = -88*w + 90*w - 8. Let q(v) = -4*v. Let z(g) = w*q(g) - 4*f(g). Factor z(y).
-4*(y + 15)*(4*y + 1)
Suppose 99*d = 108*d + 252. Let c(t) = -t**3 - 26*t**2 + 57*t + 30. Let z be c(d). Factor 2/3*o**4 + 0 + 2/3*o**3 - 2/3*o - 2/3*o**z.
2*o*(o - 1)*(o + 1)**2/3
Suppose 278*x = 5*x - 70*x. Let b(o) be the second derivative of 0 + o - 1/5*o**3 + x*o**2 + 1/60*o**4. Factor b(n).
n*(n - 6)/5
Let g be (-3)/(-2) + (-25)/(-50). What is r in 56*r - 2*r**3 + 55*r**g - 6*r + 0*r**3 + 7*r**3 = 0?
-10, -1, 0
Determine u, given that -156 + u**3 + 32*u**2 - 4*u**2 - 79*u**2 - 18*u**2 + 2*u**3 - 228*u = 0.
-2, -1, 26
Let i(v) be the third derivative of 7*v**5/20 - 6*v**4 + 81*v**3/2 + 2431*v**2. Factor i(p).
3*(p - 3)*(7*p - 27)
Let q = -187 - -187. Factor q*u + 17*u**2 - 4*u + u - 4*u**2.
u*(13*u - 3)
Let v(w) be the third derivative of 2*w**7/315 - 43*w**6/90 - 392*w**5/45 - 136*w**4/3 - 711*w**2 + 2. Factor v(o).
4*o*(o - 51)*(o + 4)**2/3
Let a(q) be the second derivative of -q**6/180 - q**5/24 + 41*q**4/72 + 5*q**3/4 + 1031*q. Factor a(o).
-o*(o - 5)*(o + 1)*(o + 9)/6
Let g be (-60)/(-27) + -2 - (2945/(-93) + 31). Factor -g*y - 8/9 - 2/9*y**2.
-2*(y + 2)**2/9
Factor 0 + 4*s - 7/4*s**3 + 1/4*s**4 - 5/2*s**2.
s*(s - 8)*(s - 1)*(s + 2)/4
Let z(d) = -d**3 - d**2 - 1. Let o be (27/81)/((-2)/(-6)). Let j(h) = 2*h**3 + 8*h**2 + 12*h - 7. Let b(f) = o*j(f) + 5*z(f). Let b(i) = 0. What is i?
-2, 1, 2
Let t = 1154 - 1057