1)**2/5
Let d = 2 - 7. Let u = d - -9. Determine t so that 1/4*t + 3/2*t**3 + t**2 + 1/4*t**5 + t**u + 0 = 0.
-1, 0
Let y(l) be the third derivative of l**5/140 - l**4/56 - 3*l**2. Suppose y(h) = 0. What is h?
0, 1
Let c(i) = -2*i**2 + 6*i + 1. Let h be c(4). Let u(n) = n**2 + 7*n + 5. Let d be u(h). Let 6/5*z**4 - 3/5*z**d + 3/5*z - 6/5*z**2 + 0 + 0*z**3 = 0. What is z?
-1, 0, 1
Let m(b) = -b**2 - 5*b. Let s be (1 + -2)*(-3 - -1). Let i(y) = -y**2 + 6*y + 4*y**2 - s*y**2. Let v(w) = -5*i(w) - 6*m(w). Factor v(j).
j**2
Let c(a) be the third derivative of 2/33*a**3 + 1/44*a**4 + 0*a - 3*a**2 - 1/165*a**5 + 0. Factor c(q).
-2*(q - 2)*(2*q + 1)/11
Let t(u) = -u**3 + 4*u**2 - 3*u + 1. Let k be t(2). Suppose -3*x + 5*x = 4*n + 6, x = -3*n + k. Solve -q - 3/2*q**2 + 9/2*q**3 + n = 0.
-1/3, 0, 2/3
Suppose 6*a = 2*a + 8. Factor -3*f**4 - 8*f**3 - 14*f**3 - a*f**2 + 4*f**2 + 21*f**3.
-f**2*(f + 1)*(3*f - 2)
Suppose -3*b = b + 5*g - 13, 0 = 3*b - g - 5. Suppose 0*p = -b*p. Solve -2/9*t**2 + p - 2/9*t = 0.
-1, 0
Factor 0 - 1/4*k**3 + 0*k + 1/4*k**2.
-k**2*(k - 1)/4
Let c(q) be the second derivative of 9/4*q**2 + 4*q + 0 + 2*q**3 + 2/3*q**4. Factor c(i).
(4*i + 3)**2/2
Let i(g) be the first derivative of -g**4/36 + g**3/9 - g**2/6 - 2*g + 5. Let u(t) be the first derivative of i(t). Factor u(f).
-(f - 1)**2/3
Let w(n) be the third derivative of n**5/20 - n**3/2 - 10*n**2. Suppose w(u) = 0. What is u?
-1, 1
Let g(m) = -m**2 - 5*m + 4. Let x be g(-4). Determine y so that -x*y**4 + y**5 - 2*y + 2*y**5 + y + 6*y**3 = 0.
-1/3, 0, 1
Let v(j) = -3. Let s(d) = d**2 + d + 1. Let i(z) = -3*s(z) - v(z). Factor i(o).
-3*o*(o + 1)
Let g = 320318/75 - 4270. Let i = g + -6/25. Determine b, given that -i*b**2 + 0 - 2/3*b**3 + 2/3*b + 2/3*b**4 = 0.
-1, 0, 1
Let c = 22 - 31. Let f(s) = s + 13. Let m be f(c). Suppose -r**3 + 0*r**3 + 2*r**4 - 3*r**m = 0. What is r?
-1, 0
Find k such that 5 + 3*k**2 + 3 - 16*k + 4*k + 4 = 0.
2
Find p, given that -29*p + 3*p**2 - p**2 + 18 + 17*p = 0.
3
Let g(r) be the second derivative of -r**6/20 + 3*r**4/4 + 2*r**3 + 9*r**2/4 + r. Factor g(j).
-3*(j - 3)*(j + 1)**3/2
Let r(z) be the first derivative of -z**6/120 + z**5/40 + z**4/4 - z**3 - 2. Let k(x) be the third derivative of r(x). Find u such that k(u) = 0.
-1, 2
Let j(b) be the second derivative of -b**4/4 - b**3 - 3*b**2/2 - 8*b. Find a such that j(a) = 0.
-1
Let x(i) be the third derivative of 4*i**2 - 1/60*i**6 - 5/12*i**4 + 0*i - 2/3*i**3 + 0 - 2/15*i**5. Factor x(f).
-2*(f + 1)**2*(f + 2)
Let j(g) be the second derivative of 3*g**5/20 - 11*g**4/12 + 2*g**3 - 2*g**2 + g. Find b such that j(b) = 0.
2/3, 1, 2
Let s = -62 + 62. Let u(b) be the third derivative of 0 + 1/96*b**4 - 3*b**2 + s*b + 0*b**3 - 1/480*b**6 + 0*b**5. Factor u(w).
-w*(w - 1)*(w + 1)/4
Let f(h) = h - 1. Let y(i) = 5*i**2 - 2*i - 1. Let s be y(-1). Let g be f(s). Find m, given that m**3 - g*m + 3*m + m**3 = 0.
-1, 0, 1
Find v such that 10*v**2 + 10*v**5 - 2*v**3 - 25*v**4 + 5*v**3 + 2*v**3 = 0.
-1/2, 0, 1, 2
Let r(s) be the second derivative of s**9/60480 - s**8/13440 - s**7/10080 + s**6/1440 - s**4/12 + 2*s. Let y(t) be the third derivative of r(t). Factor y(h).
h*(h - 2)*(h - 1)*(h + 1)/4
Let l = -2136749/1050 - -2035. Let n(v) be the third derivative of -1/600*v**6 + 3*v**2 + 0 + 0*v**3 + 1/120*v**4 + l*v**7 + 0*v - 1/300*v**5. Factor n(s).
s*(s - 1)**2*(s + 1)/5
Let p(o) be the second derivative of o**4/60 - o**3/15 + o**2/10 + 25*o. Solve p(l) = 0 for l.
1
Let i be (1 - 2)/((-1)/3). Determine x so that -x - 2*x - x + 18*x**i + 14*x**2 = 0.
-1, 0, 2/9
Suppose 17 = -0*t + t. Factor 0 + 4*a**5 - 13*a**3 + t*a**3 - 8*a**4 + 0.
4*a**3*(a - 1)**2
Let l(r) be the third derivative of r**5/20 + r**4/8 - 3*r**3 - 2*r**2. Find q such that l(q) = 0.
-3, 2
Let j(p) = -3*p - 6. Let t be j(-4). Let l(v) = 2*v**4 - v**3 - v**2 + 2. Let c(d) = -1. Let b(x) = t*c(x) + 3*l(x). Factor b(u).
3*u**2*(u - 1)*(2*u + 1)
Suppose 5*h = -6*h. Factor h - 2/9*x - 2/9*x**2.
-2*x*(x + 1)/9
Determine l so that 282*l**3 + 11*l**2 - 6 - 6*l - 269*l**3 + 3*l**4 + l = 0.
-3, -1, 2/3
Let i = -522479/420 - -1244. Let z(g) be the third derivative of 0*g + 1/480*g**6 - i*g**7 + 0*g**5 + 0*g**4 + 0*g**3 + g**2 + 0 + 1/1344*g**8. Factor z(k).
k**3*(k - 1)**2/4
Let m(k) = -2*k**2 - 7*k + 17. Let p be m(-5). Solve 1/2 + 1/4*n**5 + 1/2*n**p - 5/4*n - n**4 + n**3 = 0 for n.
-1, 1, 2
Suppose -4*d - 3*d = -21. Suppose 2*w**4 - 10/7*w**d - 18/7*w**2 + 10/7*w + 4/7 = 0. Calculate w.
-1, -2/7, 1
Let b(i) be the second derivative of -2*i**7/21 - 4*i**6/15 + 2*i**4/3 + 2*i**3/3 - 8*i - 2. Find h, given that b(h) = 0.
-1, 0, 1
Factor -5*b**5 - 143*b + 276*b - 138*b + 10*b**3.
-5*b*(b - 1)**2*(b + 1)**2
Let c(l) = -1036*l**3 + 294*l**2 + 91*l - 17. Let j(s) = -345*s**3 + 98*s**2 + 30*s - 6. Let w(d) = 4*c(d) - 14*j(d). Factor w(n).
2*(7*n - 2)**2*(7*n + 2)
Let f = -1/19 - -41/57. Let c(z) = -z**3 - 5*z**2 - 5*z - 1. Let s be c(-4). Factor -2/3*n**2 + f - 2/3*n**s + 2/3*n.
-2*(n - 1)*(n + 1)**2/3
Suppose 0 = -p + 21 + 7. Let n be (-7)/(-2)*16/p. Let -4*v**4 - 6*v**3 + 2*v + 6*v**3 + 4*v**2 - n*v**5 = 0. Calculate v.
-1, 0, 1
Suppose 4*i + 2*p + 1 = 3, 0 = -i - 4*p - 10. Let 0*o**3 + 3*o - 5*o**i + 2*o**3 - o + o**3 = 0. Calculate o.
0, 2/3, 1
Let l be 0/6 - 3/(-182 - -2). Let y(k) be the third derivative of 1/12*k**4 + 0*k - l*k**6 - 1/30*k**5 + 0 + 3*k**2 + 1/3*k**3. Solve y(m) = 0 for m.
-1, 1
Let f(n) be the first derivative of -1/14*n**6 + 9 + 3/14*n**2 + 0*n**4 + 2/7*n**3 - 6/35*n**5 + 0*n. Factor f(y).
-3*y*(y - 1)*(y + 1)**3/7
Let z(h) = 11*h**5 - 5*h**4 - 36*h**3 - 6*h. Let o(q) = 155*q**5 - 70*q**4 - 505*q**3 - 85*q. Let l(v) = -6*o(v) + 85*z(v). Let l(y) = 0. What is y?
-2, 0, 3
Let u(z) = -z**2 - 5*z - 2. Let f be u(-4). Factor -38*x**f + 41*x**2 + x**4 - 4*x**4.
-3*x**2*(x - 1)*(x + 1)
Let f be (-26)/(-117) + (-26)/(-18). Suppose -f*o**3 + 2/3*o - o**2 + 0 = 0. What is o?
-1, 0, 2/5
Let z(j) = 5*j + 32. Let d be z(-6). Find y such that -1/9 + 1/9*y**d + 1/9*y**3 - 1/9*y = 0.
-1, 1
Let p(r) = r**2 - 5*r - 8. Let s be p(6). Let a(c) = -c - 2. Let m be a(s). Factor -2/7*v - 4/7*v**2 + m - 2/7*v**3.
-2*v*(v + 1)**2/7
Let l(s) be the third derivative of -s**7/70 + s**6/40 + 7*s**2. Find f such that l(f) = 0.
0, 1
Let -2/13*l**5 - 4/13*l**3 - 2/13 + 6/13*l**4 + 6/13*l - 4/13*l**2 = 0. What is l?
-1, 1
Let a be (-21)/(-12)*(-5)/(-140). Let v(h) be the second derivative of 0 - 3*h + 1/8*h**3 - a*h**4 + 0*h**2. Determine x so that v(x) = 0.
0, 1
Let q(s) be the second derivative of s**8/13440 - s**7/2520 + s**6/1440 + 5*s**4/12 + 5*s. Let g(i) be the third derivative of q(i). Solve g(b) = 0.
0, 1
Let f(b) be the third derivative of 2*b**7/105 - b**6/6 + 2*b**5/5 + 2*b**4/3 + 5*b**3/6 + 6*b**2. Let c(z) be the first derivative of f(z). Factor c(d).
4*(d - 2)**2*(4*d + 1)
Determine v so that -23*v + 31*v + 12*v**2 - 4*v**4 + v**3 - v**3 = 0.
-1, 0, 2
Suppose 25*n**2 - 48*n + 357*n**4 + 112*n**5 + 12 + 35*n**5 - 94*n**2 + 95*n**3 + 106*n**3 = 0. What is n?
-1, 2/7
Let a(b) = 5*b**5 - 9*b**4 + 4*b**3 + 16*b**2 - 15*b + 11. Let w(c) = c**4 - c**3 + c**2 + 1. Let g(j) = -a(j) + 6*w(j). Factor g(t).
-5*(t - 1)**4*(t + 1)
Let t(q) = 7*q**3 + 7*q**2. Let h(n) = -3*n**3 - 3*n**2. Let f = 4 - -6. Suppose -5*v - f = 2*c, c - 13 = 4*v + 8. Let i(r) = c*h(r) + 2*t(r). Factor i(b).
-b**2*(b + 1)
Let q = -46 - -96. Suppose -5*n = 5*m - q, 4*n + 4 - 24 = 0. Factor 15*d**m - 3*d**4 + 7*d**3 + 3*d**2 - 4*d**3 - 18*d**5.
-3*d**2*(d - 1)*(d + 1)**2
Suppose 0 = 4*o - 3*w - 4, 4*w = 2*o - 10 - 2. Let s be (-6)/o*(-4)/(-30). Determine v, given that s*v**2 + 0*v + 0 - 2/5*v**3 = 0.
0, 1
Let q(a) be the first derivative of a**3/5 + 2*a**2/5 - 4*a/5 + 5. Find k such that q(k) = 0.
-2, 2/3
Let j be (355/(-213))/(25/(-6)). Let s be 2/(-6) - (-22)/30. Find g such that -s*g + j - 2/5*g**2 + 2/5*g**3 = 0.
-1, 1
Suppose -2*u + 21 = -3*q - 2, 0 = 2*u + 5*q - 63. Let 3*h**2 - u*h**2 + 4 + 12*h**3 + 14 - 2*h**4 - 12*h = 0. What is h?
-1, 1, 3
Let i be (-2 + -10 + 12)/(1*-2). Factor 1/3*k**3 + i*k + 0*k**2 + 0.
k**3/3
Let v(g) be the second derivative of -g**4/15 + g**3/10 + g**2/10 - 3*g. What is f in v(f) = 0?
-1/4, 1
Let -272*r + 543*r**3 + 223*r**2 - 727*r**2 - 219*r**3 - 32 = 0. What is r?