t is i?
-2/3, 0
Let v(p) be the first derivative of -3*p**5 - 3*p**4 + 11*p**3 - 3*p**2 + 46. Suppose v(m) = 0. What is m?
-2, 0, 1/5, 1
Let a(g) be the third derivative of g**5/30 - g**3/3 - g**2. Factor a(w).
2*(w - 1)*(w + 1)
Let x(v) be the third derivative of 13*v**5/150 - v**4/30 - 3*v**2. Factor x(q).
2*q*(13*q - 2)/5
Suppose -20 = -4*d - 2*b, d = 3*b - 3 - 6. What is p in d*p + 9 - 3*p - 2*p**3 - 1 - 6*p**2 = 0?
-2, 1
Let k(t) = -2*t**5 + 5*t**4 + t**3. Let m(n) = n**5 - 6*n**4 - n**3. Let r(x) = -6*k(x) - 4*m(x). Factor r(s).
2*s**3*(s - 1)*(4*s + 1)
Determine c so that -c + 3 + 37*c - 4*c - 108*c**4 + 72*c**2 + 1 = 0.
-1/3, 1
Let r be (1 + -4)*1/9*-6. Let f(t) be the first derivative of 3 + 2/15*t**5 + 0*t - 1/6*t**4 - 2/9*t**3 + 1/3*t**r. Factor f(n).
2*n*(n - 1)**2*(n + 1)/3
Suppose 0 = s - 1 - 4. Factor -112*q**2 + 4*q**5 + 64*q**3 + 3*q**s - 18*q**4 - 32 - 5*q**5 + 96*q.
2*(q - 2)**4*(q - 1)
Let q(p) be the third derivative of -2/525*p**7 + 0*p + 0 + 1/300*p**6 + 0*p**4 + 1/75*p**5 - 1/840*p**8 + 0*p**3 + p**2. Let q(t) = 0. What is t?
-2, -1, 0, 1
Find u such that 6/5*u**2 + 0 + 24/5*u = 0.
-4, 0
Let i = 4685 - 32649/7. Let 74/7*r**4 - 8*r + 8/7 + 134/7*r**2 - 2*r**5 - i*r**3 = 0. What is r?
2/7, 1, 2
Let x = -229 - -229. Let x + 0*n**2 + 2/3*n**4 - 4/9*n**3 + 0*n = 0. Calculate n.
0, 2/3
Suppose 4 = -2*i + 12. Suppose q = -3*u - 3*q + 9, i*u - 12 = -q. Factor -z**2 - z + z**3 - 2*z**u + 3*z**2.
-z*(z - 1)**2
Determine c, given that -c**2 - 3*c**4 + 6*c**5 - 7*c**5 + 4*c**3 - 7*c**3 = 0.
-1, 0
Factor -1/3*m**3 - 1/2*m**2 + 1/3*m + 0 + 1/2*m**4.
m*(m - 1)*(m + 1)*(3*m - 2)/6
Let s(d) be the third derivative of 2/9*d**3 + 3*d**2 + 0*d + 0 + 5/36*d**4 + 1/30*d**5. Factor s(r).
2*(r + 1)*(3*r + 2)/3
Let t = -2 + 8. Let q be (0 - t/(-4)) + -1. Factor 0*m - 1/4*m**3 + q*m**4 + 0*m**2 - 1/4*m**5 + 0.
-m**3*(m - 1)**2/4
Let z = 6 - 17. Let m = 34/3 + z. Suppose 1/3*w**3 - m*w - 1/3*w**2 + 1/3 = 0. Calculate w.
-1, 1
Let t be ((-10)/(-25))/((-1)/(-5)). Let s(n) be the third derivative of t*n**2 + 0*n + 0 + 1/3*n**4 - 4/3*n**3 - 1/30*n**5. Factor s(a).
-2*(a - 2)**2
Factor 0*z + 1/6*z**2 - 1/6.
(z - 1)*(z + 1)/6
Let x(s) be the third derivative of -s**7/1365 + s**6/390 + s**5/390 - s**4/78 + 21*s**2. Let x(d) = 0. Calculate d.
-1, 0, 1, 2
Let c be 1*4/((-4)/(-5)). Let n be (15 - 10)*(0 + 1). Let -m**3 - 2*m**5 - m**2 + m**c - 4*m**4 + 5*m**4 + 2*m**n = 0. Calculate m.
-1, 0, 1
Let 2/3*l - 4/9 + 10/9*l**2 = 0. Calculate l.
-1, 2/5
Factor 54 + 10689*y - 10797*y + 72*y**2 + 2*y**4 - 12*y**3 - 8*y**3.
2*(y - 3)**3*(y - 1)
Let p(f) be the second derivative of 0*f**2 + 2/21*f**7 + 4/15*f**6 + 2*f + 1/5*f**5 + 0*f**3 + 0*f**4 + 0. Let p(g) = 0. What is g?
-1, 0
Let a(r) = -8*r - 173. Let t be a(-22). What is n in n**2 + 1/4*n**t + 1/2 + 5/4*n = 0?
-2, -1
Let p = 7 + -2. Suppose -2*i - w = -p, 3*w - 16 + 1 = -i. Factor -4/3*u + 10/3*u**5 + 6*u**3 + i - 26/3*u**4 + 2/3*u**2.
2*u*(u - 1)**3*(5*u + 2)/3
Let d(j) be the third derivative of j**5/100 - 21*j**4/20 + 441*j**3/10 + 29*j**2 - 2. Suppose d(h) = 0. What is h?
21
What is r in -20*r**2 - 7 + 7 + 12*r**3 + 4*r + 36*r**4 = 0?
-1, 0, 1/3
Let c be ((-1)/2)/((-6)/108). Factor 4*k**4 + 8*k**3 + 7*k**3 + 0*k**5 - k**4 + c*k**2 - 3*k**5.
-3*k**2*(k - 3)*(k + 1)**2
Let s(u) = -5*u**2 - 11*u. Let v(w) = -16*w**2 - 34*w. Let m(l) = -7*s(l) + 2*v(l). Factor m(z).
3*z*(z + 3)
Let -4*t - t**2 + 2 + 0 + 3*t**2 = 0. What is t?
1
Let w(i) be the third derivative of -4*i**7/315 - i**6/36 - i**5/90 - 5*i**2. Suppose w(v) = 0. Calculate v.
-1, -1/4, 0
Let u = 5/14 - -673/154. Let -4/11 - 72/11*g**2 + 12/11*g**4 + 30/11*g + u*g**3 - 18/11*g**5 = 0. Calculate g.
-2, 1/3, 1
Let h = -1/10 - -9/40. Let c(x) be the third derivative of -1/20*x**5 - 1/120*x**6 + 0 + 0*x - 3*x**2 - 1/6*x**3 - h*x**4. Let c(j) = 0. Calculate j.
-1
Let k(y) be the second derivative of y**8/4200 - y**7/1050 + 2*y**3/3 + 3*y. Let h(o) be the second derivative of k(o). Let h(z) = 0. Calculate z.
0, 2
Let j = 3 - 3. Solve 4*c**3 + 2/3*c**5 + 8/3*c**4 + 8/3*c**2 + j + 2/3*c = 0.
-1, 0
Let m be (-2)/7 + 144/63. Let o = m + 0. Factor 0 + 4/9*y**o + 2/9*y - 2/9*y**5 + 0*y**3 - 4/9*y**4.
-2*y*(y - 1)*(y + 1)**3/9
Let i = 3 + 0. Let g = 7 - 3. Factor 0*d**5 - g*d**4 - d**5 - 6*d + 5*d - 6*d**i - 4*d**2.
-d*(d + 1)**4
Let n(b) be the third derivative of b**7/42 - b**6/8 + b**5/12 + 5*b**4/8 - 5*b**3/3 + 29*b**2. Factor n(i).
5*(i - 2)*(i - 1)**2*(i + 1)
Let j(v) be the second derivative of -1/84*v**7 + 1/2*v**2 + 1/12*v**4 - 1/15*v**6 - 1/10*v**5 + 3*v + 0 + 5/12*v**3. What is i in j(i) = 0?
-2, -1, 1
Determine t, given that 4/5*t + 0 - 2/5*t**2 = 0.
0, 2
Let w(n) = -n**5 + n**2 - 3*n. Let k(u) = u**4 - u**3 + u. Let d(q) = 3*k(q) + w(q). Factor d(i).
-i**2*(i - 1)**3
Factor -1/2*j + 3/4 - 1/4*j**2.
-(j - 1)*(j + 3)/4
Let r(l) be the third derivative of -l**7/1995 + l**6/1140 + l**5/285 + 8*l**2. Find s such that r(s) = 0.
-1, 0, 2
What is p in -2/3*p + 0 + 5/3*p**4 - 1/3*p**3 - 5/3*p**2 + p**5 = 0?
-1, -2/3, 0, 1
Let c(i) = i + 2. Let n be c(0). Let q = n - -2. Find y, given that -y**2 + 0*y**2 - q + 0*y**2 - 4*y = 0.
-2
Suppose -4*j = -10*j. Let v(i) be the first derivative of j*i + 2 - 2/27*i**3 - 1/9*i**2. What is c in v(c) = 0?
-1, 0
Suppose -6*c + 3*c + 8 = -2*t, -t + 2 = 0. Let u = 1 + c. Factor 3*n**4 + 2*n**2 - u*n**3 - n**4 + 9*n**3.
2*n**2*(n + 1)**2
Let r(c) be the second derivative of c**6/165 + 2*c**5/55 + c**4/33 - 4*c**3/33 - 3*c**2/11 + 2*c - 1. Determine i, given that r(i) = 0.
-3, -1, 1
Let j = -4/11 + 31/55. Factor 0*i + 0 + 0*i**3 + j*i**4 - 1/5*i**2.
i**2*(i - 1)*(i + 1)/5
Let a(b) be the first derivative of -3 - 2*b**2 + 2/3*b**3 + 8/3*b - 1/12*b**4. Factor a(q).
-(q - 2)**3/3
Let q = -15 + 20. Factor c**4 + 4*c + 6*c**3 + 6*c**4 - 2*c**q - 5*c**4 - 10*c**2.
-2*c*(c - 1)**3*(c + 2)
Let w be 21/14*(0 + -2). Let a = w - -7. Factor 4*x**4 + 0*x**5 - 2*x**a - 2*x**5 - 2*x**2 + 2*x**3.
-2*x**2*(x - 1)**2*(x + 1)
Let u(y) be the second derivative of 27/20*y**5 + 1/3*y**3 + 13/12*y**4 + 3/5*y**6 + 0 + 2*y + 0*y**2. Suppose u(f) = 0. Calculate f.
-2/3, -1/2, -1/3, 0
Let z = -6 - -8. Let m = -1420/9 - -158. Factor 0*a - m*a**z + 0 + 2/9*a**3.
2*a**2*(a - 1)/9
Factor -16*a**2 + 4*a + 8*a**2 + 4*a + 6*a**2.
-2*a*(a - 4)
Let b = 21 - 21. Suppose -6/7*z**4 - 2/7*z**5 + 0*z - 2/7*z**2 - 6/7*z**3 + b = 0. What is z?
-1, 0
Let u(i) = -3*i**2 + 6*i - 9. Let a(y) = y**2 - 7*y + 1. Let n be a(7). Let c(h) = h**2. Let k(g) = n*u(g) + 2*c(g). Factor k(r).
-(r - 3)**2
Let z(b) be the third derivative of b**8/10080 - b**7/2520 + b**5/30 + 2*b**2. Let j(a) be the third derivative of z(a). Factor j(v).
2*v*(v - 1)
Let x(c) be the third derivative of c**6/24 + 7*c**5/10 + 17*c**4/8 + 7*c**3/3 - 66*c**2. Solve x(k) = 0 for k.
-7, -1, -2/5
Factor -25 + 5*l**3 - 18*l**2 - 10*l**2 - 7*l**2 + 55*l.
5*(l - 5)*(l - 1)**2
Let w be (-6)/3 - 10/(-2). Find p, given that -p**2 + 2*p**2 - 2*p**3 - w*p**2 = 0.
-1, 0
Let x = 9 + -7. Suppose 7 = b + x. Suppose -2*l**5 + 2*l**4 + 4*l**3 - 2 - 4*l + 2*l + b*l**2 - l**2 - 4*l**4 = 0. Calculate l.
-1, 1
Let j(n) be the first derivative of -4 + 1/16*n**4 - 1/8*n**2 + 1/20*n**5 - 1/12*n**3 + 0*n. Factor j(z).
z*(z - 1)*(z + 1)**2/4
Suppose 0 = -m + 7 - 5. Determine j so that 12*j**3 - 10/11*j**4 - 50/11*j**5 + 0 + 16/11*j - 8*j**m = 0.
-2, 0, 2/5, 1
Factor 0 - 9/7*v**3 + 9/7*v**2 + 3/7*v**4 - 3/7*v.
3*v*(v - 1)**3/7
Let j(h) be the first derivative of -3*h**5/5 - 3*h**4/2 + 3*h**2 + 3*h + 9. Let j(i) = 0. What is i?
-1, 1
Let m(o) = -o - 9. Let y be m(-12). Suppose 5*z - 10 = y*z. Suppose 2/3*w - 2/3*w**2 + 0 - 1/2*w**3 + 2/3*w**4 - 1/6*w**z = 0. Calculate w.
-1, 0, 1, 2
Suppose 8 = -4*h - n + 21, 0 = -3*h - 2*n + 11. Let p(g) be the first derivative of 2 - g + 1/6*g**h + 1/4*g**2. Factor p(k).
(k - 1)*(k + 2)/2
Let v be (-10)/35 + (-60)/(-14) + -4. Find g such that 2/9 + v*g - 2/9*g**2 = 0.
-1, 1
Let m be 3/6*(24 - 2). Let b be (4 - 1) + (8 - m). Factor -1/2*q**4 - 1/2*q**2 + b + 0*q - q**3.
-q**2*(q + 1)**2/2
Let j(s) be the second derivative of -5*s**6/2 + 3*s**5/4 + 9*s**4/2 - 26*s**3/5 + 12*s**2/5 - 15*s. Determine z so that j(z) = 0.
-1, 2/5
Let s = -2 + 7. Suppose -4*o + 8 = p - 3*o, 4*o = -s*p + 40. Factor p*k - 