2, -1, 1
Factor 0 - 1/2*f**2 + 1/2*f**4 + 1/4*f - 1/4*f**5 + 0*f**3.
-f*(f - 1)**3*(f + 1)/4
Let l(p) be the third derivative of -p**7/1260 - p**6/90 - 13*p**5/360 - p**4/24 - 28*p**2. Solve l(t) = 0.
-6, -1, 0
Let g = 1 + 3. Solve -10*s**2 + 12 + s**2 + 0*s**2 - 3*s**g - 12*s**3 + 12*s = 0.
-2, -1, 1
Factor 0*b + 0 + 2/3*b**2.
2*b**2/3
Suppose -2*b = 3*b. Factor 3*i**3 + 0 - 9*i**2 - 5 + 2 + 9*i + b.
3*(i - 1)**3
Determine x so that 0 - 4/5*x**2 + 0*x + 2/5*x**3 = 0.
0, 2
Let 18 + 8*y**2 + 0*y**4 - 2*y**4 - 115*y**3 + 33*y + 105*y**3 + y**5 + 0*y**5 = 0. What is y?
-2, -1, 3
Let b(a) = -8*a**2 + 3. Let k(g) = -g**2. Let j be ((-6)/9)/(4/6). Let q(d) = j*b(d) + 5*k(d). Factor q(u).
3*(u - 1)*(u + 1)
Suppose 58*y**2 - 58*y**2 - 2*y**4 = 0. Calculate y.
0
Let v(a) = 2*a**5 - 16*a**4 + 45*a**3 - 61*a**2 + 35*a + 3. Let g(b) = b**3 - b**2 - b - 1. Let l(j) = -3*g(j) - v(j). Determine m, given that l(m) = 0.
0, 2
Let h be 87 + -3 + 3/1. Let y**3 - y**5 + h*y**2 - 87*y**2 = 0. Calculate y.
-1, 0, 1
Let y(m) = 11*m**3 + 12*m**2 - 12*m - 2. Let q(b) = -111*b**3 - 120*b**2 + 120*b + 21. Let k(a) = -2*q(a) - 21*y(a). Factor k(f).
-3*f*(f + 2)*(3*f - 2)
Let w(v) be the second derivative of 3/2*v**2 + 0 + 1/60*v**5 + 3*v + 0*v**3 + 0*v**4. Let g(x) be the first derivative of w(x). Factor g(k).
k**2
Suppose -8*k = -9*k + 2. Let x(b) be the third derivative of -1/72*b**4 + 0*b + k*b**2 + 0*b**5 + 0*b**3 + 0 + 1/360*b**6. Solve x(c) = 0.
-1, 0, 1
Let g(w) be the second derivative of w**6/45 - w**5/60 - 5*w**4/36 - w**3/9 - 5*w - 6. Factor g(z).
z*(z - 2)*(z + 1)*(2*z + 1)/3
Let o(h) be the second derivative of h**6/210 + h**5/140 - h**4/28 - h**3/42 + h**2/7 + h. Factor o(g).
(g - 1)**2*(g + 1)*(g + 2)/7
Let q = -1/1002 - -1337/1002. Factor q - 4/3*x**2 + 0*x.
-4*(x - 1)*(x + 1)/3
Factor 0*d**2 + 4/5*d**5 + 0 + 0*d + 0*d**3 - 4/5*d**4.
4*d**4*(d - 1)/5
Let k(o) be the first derivative of -2*o**6/3 + 24*o**5/5 - 13*o**4 + 16*o**3 - 8*o**2 + 7. Factor k(p).
-4*p*(p - 2)**2*(p - 1)**2
Suppose 13 = -2*r + 3*s, -3*s = -5*r + 10 - 56. Let f(x) = x**2 + 11*x + 2. Let b be f(r). Factor 1/2 + 1/2*j**b - j.
(j - 1)**2/2
Factor -18/11 + 12/11*y - 2/11*y**2.
-2*(y - 3)**2/11
Let c(l) = 4*l**2 + 21*l + 7. Let k be c(-5). Solve 2/13 + 4/13*i + 2/13*i**k = 0 for i.
-1
Suppose 2*q = 2*n - 10, 0 = 5*q - 3 + 18. Determine i so that 1/3*i**n + i + 0 = 0.
-3, 0
Let o(x) = x**5 - 3*x**4 - 3*x**3 + 5*x**2 + 3. Let p(y) = -y**4 + y**2 + 1. Let m(c) = o(c) - 3*p(c). Factor m(z).
z**2*(z - 1)**2*(z + 2)
Factor 22*g + 4*g**3 + 4 - 4*g**2 + 26*g - 52*g.
4*(g - 1)**2*(g + 1)
Suppose 5*d = 3*d + 4. Let k be d/(-10) - 207/(-135). Factor 0 + k*z**2 + 1/3*z + 4/3*z**3.
z*(2*z + 1)**2/3
Factor -39*m**2 + 1 - 17*m**3 + 7*m**4 - 4 - 19*m**4 - 19*m**3 - 18*m.
-3*(m + 1)**2*(2*m + 1)**2
Suppose -47*j = -28*j - 38. Find m, given that -9/4*m - 3/4*m**j - 3/2 = 0.
-2, -1
Let r be (-6 + (-7 - -14))*8/10. Let -2/5*m + 2/5*m**5 - 4/5*m**4 + r*m**2 + 0 + 0*m**3 = 0. Calculate m.
-1, 0, 1
Suppose 0 = -2*g - 0*g + 4. Let u be (-36)/(-32) - (2 + 57/(-24)). Let 15/4*j**3 - 15/4*j + 3/2 - u*j**g = 0. What is j?
-1, 2/5, 1
Let w(n) be the second derivative of -1/6*n**4 + 0 - 1/5*n**5 + 2/3*n**3 + 0*n**2 + 1/15*n**6 + 2*n. Factor w(k).
2*k*(k - 2)*(k - 1)*(k + 1)
Suppose 6*k**3 + 5*k**3 + 7*k**4 + 2*k**3 + k**5 + 8*k + 20*k**2 + 5*k**3 = 0. What is k?
-2, -1, 0
Let q = 119 + -119. Determine p so that -p**3 + q - 5/4*p**2 - 1/4*p**4 - 1/2*p = 0.
-2, -1, 0
Let z(b) = 2*b - 6. Let w be z(5). Factor -w*g + 0*g**3 + 10*g**2 + 0*g + 14*g**3.
2*g*(g + 1)*(7*g - 2)
Let x be 19/44 - 2/8. Let y = -3/44 - -1/4. Factor 0*c - x*c**2 + y*c**3 + 0.
2*c**2*(c - 1)/11
Let j(a) be the third derivative of -a**7/10080 + a**6/960 - a**5/240 + a**4/4 + 2*a**2. Let m(u) be the second derivative of j(u). Factor m(o).
-(o - 2)*(o - 1)/4
Let x(r) be the second derivative of 0 - 1/66*r**4 + 0*r**3 + 4*r + 0*r**2. Solve x(a) = 0.
0
Let m be 14/84 + (-1)/(-6). Let n(z) be the second derivative of -1/18*z**4 + m*z**2 - 1/60*z**5 + 0 + 4*z + 1/18*z**3. Factor n(l).
-(l - 1)*(l + 1)*(l + 2)/3
Let v(r) be the first derivative of 0*r**2 + 3/8*r**4 + 3/20*r**5 + 1/4*r**3 - 5 + 0*r. Factor v(i).
3*i**2*(i + 1)**2/4
Let o = 110209/168 + -656. Let b(n) be the second derivative of 0*n**3 - 1/80*n**5 + 1/120*n**6 + 0 + o*n**7 - 1/48*n**4 + 4*n + 0*n**2. Factor b(j).
j**2*(j - 1)*(j + 1)**2/4
Let b(x) = 8*x**2 + 53*x + 192. Let c(n) = 9*n**2 + 54*n + 192. Let j(a) = 6*b(a) - 5*c(a). Let j(v) = 0. What is v?
-8
Let z be ((-3)/10)/((-3)/4). Let a = 3/32 + 49/160. Factor -z*l + a*l**2 - 2/5 + 2/5*l**3.
2*(l - 1)*(l + 1)**2/5
Suppose 0 = -2*r - 2 - 2. Let t(x) = -x**2 - 4*x - 3. Let j(c) be the second derivative of c**2/2 + c. Let a(d) = r*j(d) + 2*t(d). Let a(n) = 0. Calculate n.
-2
Let w(f) be the first derivative of f**6/240 - f**4/48 + f**2 - 2. Let g(n) be the second derivative of w(n). Factor g(q).
q*(q - 1)*(q + 1)/2
Factor 17*x**2 - 11*x**2 + x - 5*x**2.
x*(x + 1)
Suppose 0 = 2*n + 3*n. Let g be 0/(-2 - n/3). Factor 2/3*y**3 + 0 + 2/3*y**4 + 0*y + g*y**2.
2*y**3*(y + 1)/3
Let l(g) be the third derivative of -g**6/160 - g**5/40 - 5*g**2. What is o in l(o) = 0?
-2, 0
Let d(b) be the third derivative of -b**5/90 + b**3/9 + 4*b**2. Determine t so that d(t) = 0.
-1, 1
Let -77*k**2 - 85*k**4 + 22*k**2 - 25*k**5 + 2*k - 105*k**3 - 12*k = 0. Calculate k.
-1, -2/5, 0
Let r = -96 + 101. Suppose -72/7*b**2 - 36*b**4 + 14*b**r + 8/7*b + 0 + 218/7*b**3 = 0. What is b?
0, 2/7, 1
Let x be 7/5 - (12 + -11). Factor 2/5 + x*j**2 - 4/5*j.
2*(j - 1)**2/5
Let g(m) be the third derivative of -16*m**7/105 + 3*m**6/5 - 11*m**5/15 + 2*m**3/3 - 35*m**2. Let g(k) = 0. What is k?
-1/4, 1/2, 1
Let v(s) be the first derivative of 3/5*s**2 - 4/5*s + 1 + 0*s**3 - 1/10*s**4. Suppose v(l) = 0. What is l?
-2, 1
Let b(l) = l**5 + l**3 - l**2 + l. Let j(c) = -12*c**5 + 12*c**4 - 8*c**2. Let m(d) = 4*b(d) + j(d). Let m(z) = 0. What is z?
-1, 0, 1/2, 1
Let p be (-1)/28 - (4/(-14))/1. Let o(v) be the first derivative of 0*v - p*v**4 + 3 + 1/3*v**3 + 0*v**2 + 1/6*v**6 - 1/5*v**5. Solve o(h) = 0.
-1, 0, 1
Let q(a) = -a**5 + a**4 + a**2 + a - 1. Let r(y) = -3*y**5 + 8*y**4 - 5*y**3 - 4*y**2 + 8*y - 3. Let g(s) = q(s) - r(s). Find m, given that g(m) = 0.
-1, 1/2, 1, 2
Let q be ((-48)/(-108))/(4/18). Factor -6*x - x**q + 2*x**2 + 4 + x**2.
2*(x - 2)*(x - 1)
Let b(u) be the first derivative of -u**4/24 + u**3/6 - u**2/4 + 2*u + 4. Let p(x) be the first derivative of b(x). Solve p(c) = 0.
1
Suppose 6*y - 3*y + 6 = 0. Let d be 11/7 - (-2)/y. Let -2/7*v - 2/7*v**3 - d*v**2 + 0 = 0. Calculate v.
-1, 0
Find y such that 0 + 9/2*y**3 - 3/2*y**4 + 0*y**2 + 0*y = 0.
0, 3
Let u(h) be the second derivative of 3*h**5/80 - 3*h**4/16 + 3*h**3/8 - 3*h**2/8 - 2*h. Factor u(m).
3*(m - 1)**3/4
Suppose -3*d - j = -9, 4*d - 3*j - j - 28 = 0. Factor -2 + 0*y**3 - 4*y**2 + 2/3*y**d - 16/3*y.
2*(y - 3)*(y + 1)**3/3
Let b be 416/(-216) - (-4)/2. Let g(v) be the third derivative of v**2 - 1/36*v**4 - 1/270*v**5 + 0 - b*v**3 + 0*v. Suppose g(h) = 0. Calculate h.
-2, -1
Let l be (-2)/(-4 - 11/(-4)). Let -7/5*x - l*x**2 - 2/5 - 3/5*x**3 = 0. What is x?
-1, -2/3
Let t = 3 - 8/3. Let x(f) be the second derivative of -1/3*f**3 + 0*f**2 - 2/15*f**6 - 1/7*f**7 + 2/5*f**5 - 2*f + 0 + t*f**4. Solve x(j) = 0 for j.
-1, 0, 1/3, 1
Let j = 4 + -4. Let f(k) = -k + 4. Let y be f(j). Find x, given that -5*x**2 - 6*x**3 - 4*x**5 + 4*x**2 - 3*x**2 + 2*x - 10*x**y + 6*x**2 = 0.
-1, 0, 1/2
Let o(d) = -d**3 + 10*d**2 + 13*d + 8. Let j(w) = w**3 - 20*w**2 - 27*w - 16. Let z(p) = 3*j(p) + 5*o(p). What is y in z(y) = 0?
-2, -1
Factor 8/7*a + 2/7*a**2 + 6/7.
2*(a + 1)*(a + 3)/7
Let k(h) be the third derivative of 1/2*h**3 - 1/20*h**6 + 0*h + 1/10*h**7 - 2/5*h**5 - 1/4*h**4 + 1/28*h**8 + 5*h**2 + 0. Factor k(f).
3*(f - 1)*(f + 1)**3*(4*f - 1)
Let k be 2/4*0/(-2). Let q(b) be the third derivative of 0 - 1/30*b**5 + 0*b**3 - b**2 + k*b + 0*b**4. Factor q(a).
-2*a**2
Factor -1/4*f**2 - 1/4*f**4 - 1/2*f**3 + 0*f + 0.
-f**2*(f + 1)**2/4
Let n(z) be the second derivative of z**6/315 + z**5/70 + z**4/63 + 10*z. What is r in n(r) = 0?
-2, -1, 0
Let y(z) = 2*z**2 + 8*z + 4. Let r(c) = 1. Let f(d) = -4*r(d) - y(d). Let f(g) = 0. Calculate g.
-2
