et f(t) = l*q(t) - 4*c(t). Suppose f(w) = 0. What is w?
-2, -1/3
Let u(b) = -13*b**2 - 411*b + 416. Let r(g) = 87*g**2 + 2877*g - 2910. Let m(f) = -4*r(f) - 27*u(f). Factor m(i).
3*(i - 136)*(i - 1)
Let i(z) = -9*z**3 - 55*z**2 - 46*z + 4. Let d(m) = 26*m**3 + 165*m**2 + 139*m - 11. Let s(h) = -4*d(h) - 11*i(h). Suppose s(w) = 0. Calculate w.
-10, -1, 0
Factor 8/3*h**2 + 2 - 13/3*h - 1/3*h**3.
-(h - 6)*(h - 1)**2/3
Suppose -4*l - 5*o + 69 = -7*l, 0 = -4*l - o - 115. Let n be (-3)/((-14)/4*(-12)/l). Factor j**n + 7/5*j + 3/5 + 1/5*j**3.
(j + 1)**2*(j + 3)/5
Let j be 23/(115/12)*25/15. Let q(h) be the second derivative of 8*h + 0 - 3/16*h**2 + 1/32*h**j + 0*h**3. Let q(c) = 0. What is c?
-1, 1
Let x(c) be the first derivative of -c**2 + 0*c + 3/5*c**5 + c**4 + 4 - 5/3*c**3. Find j such that x(j) = 0.
-2, -1/3, 0, 1
Let z = 2505 - 2503. Let u(f) = -f + 4. Let d be u(4). What is j in -2/5*j**z - 2/5*j**3 + d*j + 0 = 0?
-1, 0
Let l be (-6)/6 + (-2)/(4/2). Let o(q) = q**4 + q**3 - q**2 - 1. Let y(g) = 10*g**4 + g**3 + 4*g**2 - 6*g - 9. Let b(r) = l*y(r) + 18*o(r). Factor b(i).
-2*i*(i - 6)*(i - 1)**2
Let d(j) be the third derivative of j**7/14 + 7*j**6/20 + 7*j**5/20 - j**4/4 - 3*j**2 + 21*j. Find g, given that d(g) = 0.
-2, -1, 0, 1/5
Suppose 13 = 20*g + 18 - 65. Let j = 32/161 - -2/23. Factor 0 - j*y**g + 2/7*y - 2/7*y**2 + 2/7*y**4.
2*y*(y - 1)**2*(y + 1)/7
Let -7/2*k**5 - k**4 + 10*k**2 + 2*k + 21/2*k**3 + 0 = 0. Calculate k.
-1, -2/7, 0, 2
Factor -49*n - n**2 - 3*n**2 - 32 + 85*n + 0*n**2.
-4*(n - 8)*(n - 1)
Let c(a) be the second derivative of -a**6/1980 + a**4/33 + a**3/3 + 8*a. Let s(r) be the second derivative of c(r). Determine n so that s(n) = 0.
-2, 2
Let x(d) = d**4 - 2*d**3 - d**2 - d. Let r(v) = 8*v**4 - 40*v**3 - 36*v**2 - 28*v - 4. Let y(n) = -r(n) + 12*x(n). Factor y(w).
4*(w + 1)**4
Let r(k) be the third derivative of -k**9/4536 + k**8/2520 + k**7/1260 - k**6/540 + 5*k**3 + 28*k**2. Let v(x) be the first derivative of r(x). Factor v(o).
-2*o**2*(o - 1)**2*(o + 1)/3
Let b be (-2)/(2 - (0 + 3)). Factor -2*l**2 - l**2 - 16*l - l**b.
-4*l*(l + 4)
Factor 0 + 12*l - 31 + 7 + 3*l**2 + 9*l.
3*(l - 1)*(l + 8)
Let h(u) be the third derivative of -u**5/20 - 9*u**4/4 + 20*u**3 + 101*u**2. Determine j so that h(j) = 0.
-20, 2
Suppose 5*n - 2*n = -3, -5*w - 4*n = -6. Let 4*i**3 - 254 + 254 + 8*i**w + 4*i = 0. What is i?
-1, 0
Determine z, given that -1/5*z**2 - 784/5 + 56/5*z = 0.
28
Suppose 2*n**3 - 48*n**2 + 20*n**2 - n**3 - 18*n + 27*n**2 - 63 - 15*n = 0. Calculate n.
-3, 7
Let f(r) = -r**3 + 6*r**2 - 5*r - 3. Let c be f(4). Let i be (c/(-5))/(7/(-35)). Factor 38 + i - 16*t - 14*t + 5*t**2 - 2.
5*(t - 3)**2
Suppose -4*m + o - 13 = -4*o, 3*m - 3*o + 6 = 0. Suppose -m*r + 27 = 21. Factor -2/9*g**r + 2/9 + 0*g.
-2*(g - 1)*(g + 1)/9
Let f(a) be the first derivative of a**4/2 - 6*a**3 - 10*a**2 - 248. Let f(o) = 0. Calculate o.
-1, 0, 10
Let f(k) be the second derivative of 0 - 1/30*k**5 - 2/3*k**4 + 2*k**2 - 16/3*k**3 + 6*k. Let l(y) be the first derivative of f(y). Let l(g) = 0. Calculate g.
-4
Let n be 7 - 388/60 - 4/(-30). Let c(l) be the first derivative of -2/3*l**2 - n*l - 2/9*l**3 + 2. Suppose c(a) = 0. Calculate a.
-1
Let f(o) be the first derivative of o**3/6 - 21*o**2/4 - 11*o - 325. Factor f(i).
(i - 22)*(i + 1)/2
Factor -3*g**2 - 333*g + 7*g**4 - 35 - 73 + 369*g**2 + 5*g**4 - 117*g**3.
3*(g - 4)*(g - 3)**2*(4*g + 1)
Let i be (2/(-4) - (-6)/12) + 2. Let k be 1*2 + 0/14. Factor -3*q - 5*q**k - 4*q**i + 6*q**2.
-3*q*(q + 1)
Let p(t) be the first derivative of 9*t**5/5 - 6*t**4 - 14*t**3/3 + 8*t**2 - 3*t + 594. Factor p(u).
(u - 3)*(u + 1)*(3*u - 1)**2
Determine t so that -2/5*t**3 + 24/5 - 2/5*t**2 + 16/5*t = 0.
-2, 3
Let a(d) be the second derivative of -2*d**7/7 + 22*d**6/15 - 12*d**5/5 + 4*d**4/3 - 56*d. What is v in a(v) = 0?
0, 2/3, 1, 2
Let v(g) be the second derivative of 0 + 4/21*g**3 - 1/105*g**6 - 3/14*g**4 + 3/35*g**5 + 0*g**2 - 23*g. Let v(c) = 0. Calculate c.
0, 1, 4
Factor 0*g + 0*g**2 - 1/4*g**3 - 3/4*g**4 + 0.
-g**3*(3*g + 1)/4
Let d = 4369/8770 - -8/4385. Factor d*s**5 - s**4 + 0 - 1/2*s + 0*s**3 + s**2.
s*(s - 1)**3*(s + 1)/2
Factor -1083*o + 547*o - 6*o**3 + 8*o**2 + 544*o.
-2*o*(o - 2)*(3*o + 2)
Let z(p) = 11*p**2 + 56*p + 7. Let i be z(-5). Factor 84*w**i + 588*w + 4*w**3 + 0*w**2 - 350 + 1722.
4*(w + 7)**3
Let o(k) be the first derivative of -2*k**7/105 - k**6/15 + k**4/3 + 2*k**3/3 - 21*k**2/2 + 19. Let t(i) be the second derivative of o(i). Factor t(u).
-4*(u - 1)*(u + 1)**3
Suppose 3*q = 0, 0 = -6*i + 7*i - q - 2. Factor 4*p**2 + 1264*p**3 - 4 - 1265*p**3 - 2*p**i + p**2.
-(p - 2)**2*(p + 1)
Let r(g) = 4*g**3 + 408*g**2 + 13092*g + 143748. Let b(d) = -d**2 - 2*d. Let z(x) = -12*b(x) - r(x). Solve z(n) = 0.
-33
Factor 6*l**2 - 3*l**2 - 15706 + 786*l - 313*l + 97381 + 517*l.
3*(l + 165)**2
Let o(c) be the second derivative of c**7/12600 + c**6/1200 + c**5/300 - 5*c**4/6 + 6*c. Let h(s) be the third derivative of o(s). What is v in h(v) = 0?
-2, -1
Let s(n) be the second derivative of -n**5/5 + n**4/3 + 4*n**3/3 - 10*n + 1. Factor s(u).
-4*u*(u - 2)*(u + 1)
Let b(o) = -10*o. Let i(z) = -2*z + 2*z - 6*z**2 + z + 7*z**2. Let d(t) = -b(t) - 2*i(t). Factor d(h).
-2*h*(h - 4)
Let l(x) be the second derivative of -6*x + 1/5*x**3 + 0*x**5 + 0 + 1/200*x**6 + 1/2*x**2 - 3/40*x**4. Let c(g) be the first derivative of l(g). Factor c(s).
3*(s - 1)**2*(s + 2)/5
Determine b, given that 72/5 - 2/5*b**2 - 18/5*b = 0.
-12, 3
Let s(i) = 3*i**2 + 17*i - 13. Let c be s(-7). Solve c*f**4 + 2*f**5 - 15*f - 30*f**3 + 30*f**2 + 3 + 7*f**5 - 12*f**5 = 0 for f.
1
Suppose -13 = -p - 5. Let h = p + -4. Factor -h*t + 3*t + 9*t - 2*t**2 - 8.
-2*(t - 2)**2
Let i(d) be the second derivative of -35*d + 6*d**2 + 169/36*d**4 + 26/3*d**3 + 0. Factor i(z).
(13*z + 6)**2/3
Let 1/5*h**2 + 3/5*h - 2 = 0. What is h?
-5, 2
Let c(t) be the second derivative of t**6/180 - t**5/24 - t**4/12 + 133*t. Factor c(d).
d**2*(d - 6)*(d + 1)/6
Let n(z) = z**3 - 8*z**2 - 20*z + 99. Let c be n(9). Factor 6/23*f + c + 2/23*f**2.
2*f*(f + 3)/23
Let x be ((-12)/(-14))/((-156)/(-273)). Let p(b) be the first derivative of -x*b**2 + 7 - b**3 + 3*b + 3/4*b**4. Factor p(z).
3*(z - 1)**2*(z + 1)
Let w = 366/23 - 2539/161. Factor -3/7*z**2 + w*z + 3/7 - 1/7*z**3.
-(z - 1)*(z + 1)*(z + 3)/7
Let w(r) be the second derivative of r**4/48 + 145*r**3/6 + 21025*r**2/2 + 987*r. Suppose w(s) = 0. What is s?
-290
Let l(h) be the first derivative of 5*h**3/4 - 10*h**2 - 15*h + 133. Determine p, given that l(p) = 0.
-2/3, 6
Let a be 3132/(-216)*20/(-145). Factor -2/3*u**3 + 8/3*u**a + 8/3*u + 0 - 2/3*u**4.
-2*u*(u - 2)*(u + 1)*(u + 2)/3
Let h = -9 - -10. Let r be (h - 0 - -1)*1. Factor 5 - 2*y + y**r + 0 - 1 - 2*y.
(y - 2)**2
Solve -3701/4*j**2 - 1045*j + 257/4*j**4 + 2173/4*j**3 + 361 + 7/4*j**5 = 0.
-19, -1, 2/7, 2
Let u(k) be the third derivative of k**9/6048 + k**8/896 + k**7/504 + k**4/12 - 16*k**2. Let n(a) be the second derivative of u(a). What is i in n(i) = 0?
-2, -1, 0
Let v(a) be the second derivative of a**5/10 + a**4/2 - 4*a**2 + 655*a. Let v(d) = 0. What is d?
-2, 1
Suppose 0 = 2*l + 39 + 11. Let x = -11 - l. Suppose x*i**3 - 2*i**4 - 8*i**5 + 6*i**5 - 10*i**3 = 0. Calculate i.
-2, 0, 1
Let z(b) = b**2 - 1. Let k(f) = 18*f**2 + 6*f - 8. Let j(m) = -m**2 - 10*m + 31. Let q be j(-13). Let l(i) = q*z(i) + k(i). Determine h, given that l(h) = 0.
-3/5, 0
Let r(q) = -q**2 + 37*q + 472. Let x be r(-10). Suppose 26/11*m - 40/11*m**x + 18/11*m**3 - 4/11 = 0. What is m?
2/9, 1
Let v(i) = -5*i + 27. Let j be v(5). Factor 27*t**3 + 9*t**4 + 17*t**4 + 4*t**j + 7*t**5 + 768*t - 772*t.
t*(t + 1)**2*(t + 2)*(7*t - 2)
Suppose 5*q + 3*l = 130, -3*q - 104 = -7*q - 4*l. Factor 5*p**3 + 3*p**2 - 15*p + 13*p**2 - q*p**2.
5*p*(p - 3)*(p + 1)
What is j in 14*j + 100/7 - 2/7*j**2 = 0?
-1, 50
Determine x, given that -268435456/7 - 98304/7*x**2 - 512/7*x**3 - 1/7*x**4 - 8388608/7*x = 0.
-128
Let k be 125/15 + -21*1*(-27)/(-81). Factor 16/9 + k*d + 2/9*d**2.
2*(d + 2)*(d + 4)/9
Factor 14*d + 12*d + 6*d**3 - 8*d**3 + 24.
-2*(d - 4)*(d + 1)*(d + 3)
Let n(z) be the second derivative of z**5/50 + 3*z**4/2 + 44*z**3/15 + 2*z + 526. Let n(l) = 0. Calculate l.
-44, -1, 0
Suppose -8*r = -2*r - 36. Let u = -3