uppose -174*n + 170*n = 0. Factor n*o + 0*o**2 + 1/4*o**4 - 1/4*o**3 + 0.
o**3*(o - 1)/4
Let 0*t + 0 - 2/7*t**4 + 2*t**3 - 20/7*t**2 = 0. What is t?
0, 2, 5
Find f such that 0*f**2 + f**2 + 2333 - 39*f - 2*f - 8*f - 2285 = 0.
1, 48
Let r(d) be the second derivative of -11*d**5/4 - 25*d**4/3 + 185*d**3/6 - 15*d**2 + d + 207. Factor r(u).
-5*(u - 1)*(u + 3)*(11*u - 2)
What is z in 1/6*z**4 - 17/3*z**3 + 54 + 102*z + 253/6*z**2 = 0?
-1, 18
Let t(p) be the second derivative of p**6/6 - 3*p**5/4 - 15*p**4/4 - 25*p**3/6 - 59*p. Factor t(m).
5*m*(m - 5)*(m + 1)**2
Suppose -169 = -5*n - 694. Let p = -105 - n. Factor -x + 1/2*x**3 + 1/2*x**2 + p.
x*(x - 1)*(x + 2)/2
Let b = 1478/2957 + 1/5914. Let 3/2*j**3 + j - 1/2*j**5 + 0 - 5/2*j**2 + b*j**4 = 0. Calculate j.
-2, 0, 1
Let w(k) = -14*k**3 + 56*k**2 - 46*k + 16. Let z(f) = f**3 - f**2 - f - 1. Let j(p) = 2*w(p) + 12*z(p). Let j(l) = 0. Calculate l.
1/4, 1, 5
Let j(n) be the first derivative of n**4/24 - 27*n**3/2 + 6561*n**2/4 - 177147*n/2 - 111. Determine w, given that j(w) = 0.
81
Let v be (-8)/32 + 9/4. Suppose -v*g - 3 = -25. Determine o, given that g + 1 - 21*o**3 + 5*o**2 + 64*o**2 - 60*o = 0.
2/7, 1, 2
Let b(u) = -u**3 - 3*u. Let k(z) = z - 8. Let h be k(9). Let n(l) = -l**3. Let g(s) = h*b(s) - 4*n(s). Factor g(x).
3*x*(x - 1)*(x + 1)
Let k(s) = -2*s**2 - 108*s + 502. Let t(w) = -w**2 - 36*w + 168. Let x(l) = -3*k(l) + 8*t(l). Let x(i) = 0. Calculate i.
9
Let p(s) be the first derivative of -s**7/420 + s**6/60 - s**5/20 + s**4/12 - s**3/12 + 10*s**2 + 10. Let v(u) be the second derivative of p(u). Factor v(l).
-(l - 1)**4/2
Factor 0 + 4/9*x**2 + 2/3*x**3 + 2/9*x**4 + 0*x.
2*x**2*(x + 1)*(x + 2)/9
Suppose 3*h - 4*r = -6, -h + 3*r = 7*r - 14. Factor -14/3*a**4 - 8/9*a**2 - h*a**5 + 0*a + 0 - 32/9*a**3.
-2*a**2*(a + 1)*(3*a + 2)**2/9
Let r = 49/96 - 1/96. Let f = -50 + 201/4. Suppose -5/4*s**2 - r*s - f*s**3 + 3/4*s**5 + 0 + 5/4*s**4 = 0. Calculate s.
-1, -2/3, 0, 1
Let q(z) be the third derivative of 1/1020*z**6 + 0*z + 0*z**5 - 1/204*z**4 + 0*z**3 + 47*z**2 + 0. Determine p, given that q(p) = 0.
-1, 0, 1
Determine s so that -636 - 394*s**2 + 532*s**2 + 160*s**3 - 160*s + 5*s**4 + 198 + 1137*s**2 - 842 = 0.
-16, -1, 1
Let j(t) be the second derivative of -t**7/210 - t**6/45 - t**5/30 + 3*t**3 - 11*t. Let n(f) be the second derivative of j(f). Factor n(v).
-4*v*(v + 1)**2
Factor 9/2 - 145/2*c + 8*c**2.
(c - 9)*(16*c - 1)/2
Let r be 2 + (-3)/12*-4 - -1. Suppose -9*n = -r*n - 25. Determine b so that 2/3*b - 2/3*b**n + 0 - 4/3*b**2 + 4/3*b**4 + 0*b**3 = 0.
-1, 0, 1
Let s(n) = -2*n**3 - 3*n**2 - 6. Let j be s(-5). Let g = j + -115. Factor -21*l**5 + 17*l + 90 + 18*l**3 - 6*l**5 - 88 + 44*l**2 - g*l**4.
-(l - 1)*(l + 2)*(3*l + 1)**3
Let r(v) be the second derivative of -v**5/90 + v**4/54 + 71*v. Factor r(s).
-2*s**2*(s - 1)/9
Let z(n) be the first derivative of n**3/4 + 21*n**2/4 + 39*n/4 + 154. Determine y, given that z(y) = 0.
-13, -1
Factor 2/3*l**3 - 4/3*l**2 - 2/3*l + 4/3.
2*(l - 2)*(l - 1)*(l + 1)/3
Determine w so that 3*w + 14*w**3 - 17*w**3 - w**2 + 3*w**4 - 2*w**2 + 4*w**3 - 4*w = 0.
-1, -1/3, 0, 1
Suppose 4*k - 22 = 2*x - 126, 0 = -3*k + 5*x - 71. Let m be (-15 - -12)*(-3)/(k/(-12)). Suppose 0 + 0*b**3 + 0*b - 2/9*b**m + 2/9*b**2 = 0. What is b?
-1, 0, 1
Suppose 0 = 3*i - 4*a - 5, -i - i + 1 = -5*a. Determine v so that -10*v**2 + 3 - 65*v**3 - v**5 + 5*v**4 - 4*v**5 + 75*v**i + 2 - 5*v = 0.
-1, 1
Let c(j) be the third derivative of 11*j**7/210 + j**6/20 - j**5/12 - j**4/4 - 2*j**2. Let y(o) = o**4 + o**3 - o. Let l(a) = -c(a) + 6*y(a). Factor l(f).
-5*f**2*(f - 1)*(f + 1)
Let c(u) = -2*u - 10. Let p be c(-5). Suppose p = 6*z - 6 + 6. Let 1/5*g - 2/5*g**3 + 0*g**2 + 0 + z*g**4 + 1/5*g**5 = 0. Calculate g.
-1, 0, 1
Let w = 1312 + -757. Factor 10*u**2 - 40 + 5*u**3 + 5*u**2 - w*u + 525*u.
5*(u - 2)*(u + 1)*(u + 4)
Suppose -76*m = -70*m - 132. Suppose m*q = 23*q - 2. Factor -2*k - 2*k**3 - 3*k**q - 1/2*k**4 - 1/2.
-(k + 1)**4/2
Factor 0*q + 1/2*q**2 - 1/2.
(q - 1)*(q + 1)/2
Let s = -100 + 106. Let j(x) be the third derivative of 0 + 2/3*x**4 + 2*x**2 - 2/15*x**5 - 1/30*x**s + 0*x**3 + 1/105*x**7 + 0*x. Determine p so that j(p) = 0.
-2, 0, 2
Let t(d) = -d**5 - 2*d**3 - 3*d**2 + 3*d. Let i(y) = y**5 + 2*y**4 + y**3 + 4*y**2 - 4*y. Let g(l) = 3*i(l) + 4*t(l). Let g(f) = 0. What is f?
0, 1, 5
Let o(y) be the first derivative of 2*y**3/15 - 4*y**2 + 38*y/5 - 57. Factor o(n).
2*(n - 19)*(n - 1)/5
Let k = -27927 + 27929. Let l = -4/13 - -38/39. Factor 2/3*q - 2/3*q**3 - l*q**k + 2/3.
-2*(q - 1)*(q + 1)**2/3
Let p = 36 + -54. Let y = p - -23. Factor -y*n**3 + 3*n**2 + 2*n**2 + 10*n**3.
5*n**2*(n + 1)
Let g be 0 + -1 + (-60)/(-10). Suppose -g*s = -1 - 19. Solve -6*w**2 + 1 + w - s*w**4 - 6*w**2 + 11*w**3 + 3*w**2 = 0.
-1/4, 1
Let j(x) = 3*x**4 - x**3 - x**2 + 3*x. Let b(h) = -3*h**4 + 0*h**3 + h**4 + h**4 - h**3. Let w(m) = 2*b(m) + j(m). Factor w(l).
l*(l - 3)*(l - 1)*(l + 1)
Let t(g) = -5*g**3 + g**2 - 1. Let j(v) = v**2 + 4*v - 6. Let c be j(-5). Let p be t(c). Factor -9*z**2 + 2*z**3 - 2 - z**3 + p*z**2 + 5*z.
(z - 2)*(z - 1)**2
Suppose 4*s + 2*u + 48 = u, 55 = -3*s + 4*u. Let d be 0 - 1/(-3) - s/(-39). Let 1/6 - 1/6*z**2 + d*z = 0. Calculate z.
-1, 1
Let a be (-11 - -3)/(12/122). Let r = a - -82. Find g such that r*g**2 + 0 + 0*g = 0.
0
Let k(g) be the first derivative of -5*g**4 - 425*g**3 - 10080*g**2 + 5120*g - 49. Factor k(q).
-5*(q + 32)**2*(4*q - 1)
Let o(x) be the second derivative of -2/9*x**3 + 0*x**2 + 1/9*x**4 + 0 - 2*x - 1/60*x**5. Factor o(p).
-p*(p - 2)**2/3
Let y(x) = 2*x**2 - 7*x - 6. Let h be y(6). Suppose 2*c - h = c. Solve 3*l**4 + 3*l**3 - 2 - c*l - 9*l**2 + 8 + 21*l = 0.
-2, -1, 1
Let m(y) be the third derivative of -1/12*y**3 + 37*y**2 + 0 + 0*y + 11/480*y**5 + 5/48*y**4. Factor m(c).
(c + 2)*(11*c - 2)/8
Let u(b) = 10*b**2 + 176*b + 1930. Let q(y) = -22*y**2 - 352*y - 3858. Let r(k) = -3*q(k) - 7*u(k). Determine s so that r(s) = 0.
-22
Let c(o) = -o**5 - o**2 + 1. Let u(i) = -i**5 + 6*i**4 - 15*i**3 - 118*i**2 + 48*i + 578. Let l(b) = 10*c(b) - 5*u(b). Factor l(p).
-5*(p - 3)**2*(p + 4)**3
Let v = -17859/26 - -687. Let i(b) be the first derivative of 2/65*b**5 - v*b**4 + 4 - 1/13*b**2 + 0*b + 2/13*b**3. Factor i(w).
2*w*(w - 1)**3/13
Let n(r) = r**2 + 12*r - 18. Let d be n(-14). Factor -11 + k**2 - d*k + 9 + 13 + 14.
(k - 5)**2
Let o(j) be the second derivative of 0*j**2 + 10*j + 0*j**4 + 1/45*j**6 + 0 + 1/10*j**5 + 0*j**3. Factor o(c).
2*c**3*(c + 3)/3
Let z(b) be the second derivative of -16*b**7/273 - 24*b**6/13 + 115*b**5/26 - 5*b**4/13 - 145*b**3/39 - 24*b**2/13 - 258*b. Solve z(u) = 0 for u.
-24, -1/4, 1
Let c be (3/(-12) - (-105)/516)*1. Let u = 80/129 - c. Let -u - 1/3*h**2 - h = 0. What is h?
-2, -1
Let i = -85 + 98. Let -12*z**2 + 6*z**4 + 11*z**4 + 7*z**3 - i*z**4 + z**3 = 0. Calculate z.
-3, 0, 1
Let a(u) = -3*u + 5. Let g be a(2). Let o(l) = -l**2 + l. Let m(y) = 3*y**2 - 3*y. Let q(s) = g*m(s) - 5*o(s). Factor q(v).
2*v*(v - 1)
Suppose -2065*m + 3952*m - 215*m**2 - 205 - 2302*m - 5*m**3 = 0. What is m?
-41, -1
Let r = 27 + -19. Suppose 5*a - 17 = r. Find x, given that -a*x**3 + 0*x - 3*x + 2*x**3 + 6*x**2 = 0.
0, 1
Let w(n) be the first derivative of -24 + 1/2*n**4 + 10/3*n**3 + 0*n + 4*n**2. Factor w(a).
2*a*(a + 1)*(a + 4)
Suppose 0*h + 12 = 4*h. Factor -6*n + n + h*n + 3*n**2 - n**2 - 4.
2*(n - 2)*(n + 1)
Suppose c = -5*o + 4*o - 101, c - o + 95 = 0. Let b be ((-6)/21)/(2/c). Find w such that 7 - 12*w - 8*w**4 - 2*w - 2*w**4 + 6*w**2 + b*w**3 - 3 = 0.
-1, 2/5, 1
Let t(j) be the first derivative of -9 + 1/3*j**2 + 0*j + 7/12*j**4 - j**3. Factor t(f).
f*(f - 1)*(7*f - 2)/3
Let b(x) = -9*x**2 + 50*x - 129. Let h(y) = -100*y**2 + 550*y - 1420. Suppose 5*u = 3*f + 120, 3*u - 17 = -3*f - 161. Let w(t) = f*b(t) + 4*h(t). Factor w(v).
5*(v - 5)**2
Let z = -317/3 + 1597/15. Let 2/5*w**2 + z*w + 2/5 = 0. Calculate w.
-1
Suppose -3*f + 10 = -f - 2*q, 4*f + 1 = -3*q. Suppose -f*i = 16 - 22. Determine p, given that 0 - 1/2*p + 1/4*p**2 + 1/4*p**i = 0.
-2, 0, 1
Let q(k) be the first derivative of 2*k**3/3 + k**2/2 - 2*k - 5. Let n be q(-2). Factor -4*r - n*r**2 + 13*r + 3*r.
-4*r*(r - 3)
Let d(t) = -2*t + 2. Let n = -14 + 15. Let r be d(n). Factor r - 2/9*j**4 - 2/9*j*