 + 0 + 2/5*v**3 + z*v = 0. What is v?
0, 1
Suppose 4 = 2*j, 5*j + 2 = 3*l - 0*j. Solve -8/13 - 2*h**2 + 24/13*h + 12/13*h**3 - 2/13*h**l = 0.
1, 2
Factor 0 + 7/5*j + 1/5*j**2.
j*(j + 7)/5
Let m be (-1)/6 + 9/54. Let x(d) be the second derivative of 0 + 2*d + m*d**3 + 1/24*d**4 + 1/40*d**5 - 1/60*d**6 - 1/84*d**7 + 0*d**2. Solve x(n) = 0.
-1, 0, 1
Let o(j) be the third derivative of 0*j + 11/60*j**6 + 1/112*j**8 + 4*j**2 - 13/210*j**7 - 3/10*j**5 + 7/24*j**4 - 1/6*j**3 + 0. Factor o(x).
(x - 1)**4*(3*x - 1)
Let n(w) be the first derivative of -w**7/3 - 2*w**6/15 + 7*w**5/10 + w**4/3 + 2*w + 4. Let y(d) be the first derivative of n(d). Let y(m) = 0. What is m?
-1, -2/7, 0, 1
Factor 8/3*v + 16/3 + 1/3*v**2.
(v + 4)**2/3
Factor 260/3*j + 4/9*j**3 - 676/9 - 12*j**2.
4*(j - 13)**2*(j - 1)/9
Determine p, given that 0 + 2/5*p**3 + 0*p**2 - 2/5*p = 0.
-1, 0, 1
Factor 2/7*z**4 - 6/7*z**2 - 4/7 - 2/7*z**3 + 10/7*z.
2*(z - 1)**3*(z + 2)/7
Let c(f) be the second derivative of -f**7/147 - f**6/105 + f**5/35 - 11*f. Determine j, given that c(j) = 0.
-2, 0, 1
Let k(v) be the second derivative of -v**7/7560 + v**6/540 - v**5/120 + 2*v**4/3 + 6*v. Let n(u) be the third derivative of k(u). Suppose n(w) = 0. What is w?
1, 3
Factor 0 + 2/5*f**5 + 0*f + 0*f**3 - 4/5*f**4 + 0*f**2.
2*f**4*(f - 2)/5
Let f(p) be the first derivative of -7*p**4/2 + 19*p**3/2 - 35*p**2/4 + 3*p - 11. Factor f(b).
-(b - 1)*(4*b - 3)*(7*b - 2)/2
Determine b, given that 1/5*b**3 + 0*b**2 - 3/5*b + 2/5 = 0.
-2, 1
Let g(b) = -4*b**3 + 2*b**2 - 2*b + 1. Let k be g(1). Let s(v) = -6*v**2 - 2*v + 20. Let o(l) = -2*l**2 - l + 7. Let z(m) = k*s(m) + 8*o(m). Factor z(q).
2*(q - 2)*(q + 1)
Let s(c) be the third derivative of 13*c**5/60 - 3*c**3/2 - 5*c**2. Let u(d) = -3*d**2 + 2. Let t(m) = -4*s(m) - 18*u(m). Solve t(l) = 0 for l.
0
Let m = -14 + 0. Let k be ((-4)/m)/1*1. Suppose -2/7*a**2 + k + 0*a = 0. What is a?
-1, 1
Let a = -9 - -11. Solve -2 + 5 + a*r**2 + 3*r**2 - 6*r - 2*r**2 = 0 for r.
1
Let m be 28/(-35) - 48/(-10)*1. Let t(u) be the third derivative of 1/30*u**5 - 3*u**2 + 0*u + 0*u**3 + 1/40*u**6 + 0 + 0*u**m. Factor t(s).
s**2*(3*s + 2)
Let o(h) = 2*h**2 + 4*h + 2. Let g(z) = 6*z**2 + 12*z + 7. Let u(w) = 2*g(w) - 7*o(w). Suppose u(j) = 0. Calculate j.
-2, 0
Suppose -5*x = -10, 5*x + 10 = 4*w + 4*x. What is h in 4*h**3 - h + h**w - 4*h**3 = 0?
-1, 0, 1
Suppose -3*u + 15 = 0, f - 5*f = 4*u - 100. Suppose -10 = -r + 4*z + 8, -4*z - f = -2*r. Determine p, given that 4*p**3 - 4*p**3 - 2*p**r - p**3 + 3*p**2 = 0.
0, 1
Let n be 2/(-3) + (21460/(-210))/(-29). Find j, given that -n*j**5 + 58/7*j**4 + 26/7*j**2 - 4/7*j + 0 - 60/7*j**3 = 0.
0, 2/5, 1/2, 1
Let x(y) be the third derivative of -y**9/75600 + y**7/12600 - y**4/4 - 2*y**2. Let c(s) be the second derivative of x(s). Solve c(o) = 0.
-1, 0, 1
Let q(t) be the second derivative of t**7/21 - t**6/5 + t**5/10 + t**4/2 - 2*t**3/3 - 15*t. Determine m, given that q(m) = 0.
-1, 0, 1, 2
Let u(h) = h**2 - h - 6. Let c be u(3). Let p(j) be the third derivative of -1/21*j**3 + 0 - 1/210*j**5 + c*j + 1/42*j**4 + 3*j**2. Factor p(d).
-2*(d - 1)**2/7
Let s(y) be the second derivative of 1/30*y**4 + 1/15*y**3 + y + 0 + 0*y**2. Factor s(b).
2*b*(b + 1)/5
Let s(o) be the second derivative of 11*o**4/60 + 3*o**3/10 - o**2/5 + 8*o. Let s(y) = 0. Calculate y.
-1, 2/11
Suppose 145 - 78*c + 3*c + 35*c**2 - 100 - 5*c**3 = 0. What is c?
1, 3
Let w be 29/(-4) - 2/(-8). Let s = 10 + w. Find u such that 13*u**s - 8*u**3 + 4*u**2 - 7*u**4 - 2*u**2 = 0.
-2/7, 0, 1
Let j = -30/7 - -127/28. Factor 1/4 + 1/4*q - 1/4*q**3 - j*q**2.
-(q - 1)*(q + 1)**2/4
Let h = 17/42 + 2/21. Factor 0 + 1/2*x**2 + h*x.
x*(x + 1)/2
Let l(h) be the third derivative of -h**7/315 + h**6/60 - h**4/9 + 36*h**2. Solve l(j) = 0 for j.
-1, 0, 2
Let p(k) be the first derivative of 4*k**3/27 - 8*k**2/9 + 16*k/9 + 24. Suppose p(h) = 0. Calculate h.
2
Suppose 6*y - 8*y = 10. Let l be (y/15)/(4/(-3)). Factor -l*u + 1/2*u**2 - 1/4*u**3 + 0.
-u*(u - 1)**2/4
Let n(i) be the third derivative of -i**8/448 - i**7/140 + 3*i**6/160 + 6*i**2. Solve n(r) = 0.
-3, 0, 1
Let c(s) be the first derivative of 0*s**2 - 1/7*s**3 + 12/7*s - 6. Suppose c(w) = 0. What is w?
-2, 2
Suppose 4*q + 5*r = -0*q + 56, 3*q = 3*r + 15. Let 6 + 3 - h + 3*h**3 - h - h - q*h**2 = 0. Calculate h.
-1, 1, 3
Let i(g) = -1. Let h(o) = -o**3 + 3*o + 3. Let z(y) = h(y) + 6*i(y). Let d(w) be the first derivative of z(w). Factor d(p).
-3*(p - 1)*(p + 1)
Let m(x) = -8*x**3 + 13*x**2 - 12*x - 7. Let o(f) = -7*f**3 + 12*f**2 - 11*f - 6. Let q(g) = 6*m(g) - 7*o(g). Factor q(t).
t*(t - 5)*(t - 1)
Let a(w) be the first derivative of w**3 - 2 + 0*w + 3/2*w**2. Factor a(s).
3*s*(s + 1)
Factor 33*x**3 + 10*x**5 - 13*x**3 - 7*x**3 - 8*x**3 - 15*x**4.
5*x**3*(x - 1)*(2*x - 1)
Suppose 5*b - 6*b = -3. Suppose -5*x + 0*x - 50 = -5*y, -x = b*y - 10. Let 0*t + 0 + 2/11*t**4 - 2/11*t**2 - 2/11*t**y + 2/11*t**3 = 0. Calculate t.
-1, 0, 1
Let d(f) be the second derivative of f**5/60 + f**4/24 + 5*f**2 - 9*f. Let v(y) be the first derivative of d(y). Factor v(s).
s*(s + 1)
Let a(u) = -u**2 + 2*u. Let z be a(2). Let k(f) be the third derivative of 0 + f**2 - 1/96*f**4 + z*f + 0*f**3 - 1/240*f**5. Find q, given that k(q) = 0.
-1, 0
Let z(u) be the third derivative of -u**5/330 + u**4/33 - 4*u**3/33 + u**2. Factor z(d).
-2*(d - 2)**2/11
Let c(t) be the second derivative of -t**5/10 + t**4/2 - t**3 + t**2 - 13*t. Let c(z) = 0. What is z?
1
Let t(p) be the third derivative of p**6/30 + 10*p**2. Determine f so that t(f) = 0.
0
Let f(u) = -u**3 + 7*u**2 - 7*u + 5. Let t(b) = 6*b**2 - 6*b + 6. Let s(l) = -3*f(l) + 2*t(l). Factor s(x).
3*(x - 1)**3
Let t be (-1)/(-2)*(-18 - -30). Let o(d) be the first derivative of 1/8*d**2 + 0*d**5 + 0*d + 1/24*d**t + 0*d**3 - 1/8*d**4 - 3. Solve o(h) = 0.
-1, 0, 1
Factor -4/7 + 2/7*b**2 - 2/7*b.
2*(b - 2)*(b + 1)/7
Let z be 5*1/(5/2). Factor 2*d - 2*d - 3*d**3 - 3 - 9*d - 9*d**z.
-3*(d + 1)**3
Let c(a) be the second derivative of a**4/6 - 11*a**3/27 + 2*a**2/9 - 25*a - 1. Let c(m) = 0. What is m?
2/9, 1
Let t be (2 - (-21)/60*-6)*-4. Factor t - 3/5*i + 1/5*i**2.
(i - 2)*(i - 1)/5
Let g(n) = -4*n**5 + 4*n**3 - 3*n**2 - 3. Let h(m) = m**2 - 2*m**2 + 2*m**5 + m**3 - 1 - 5*m**5 + 2*m**5. Let z(q) = -g(q) + 3*h(q). Factor z(u).
u**3*(u - 1)*(u + 1)
Let 2/7 + 6/7*m - 4/7*m**3 - 6/7*m**4 + 4/7*m**2 - 2/7*m**5 = 0. What is m?
-1, 1
Let u = 5 + -2. Find a such that 3*a**2 - 34*a**u + 4*a - a**2 + 0*a + 28*a**4 = 0.
-2/7, 0, 1/2, 1
Let w be 64/33*69/46. Solve -8/11 - 38/11*h**3 - 2/11*h**5 - 14/11*h**4 - w*h - 50/11*h**2 = 0.
-2, -1
Let t be -6*(2 - 20/8). Let j(k) be the first derivative of 0*k - 4/3*k**t - 1 + k**2. Suppose j(s) = 0. Calculate s.
0, 1/2
Let f be (-2 + 8 - (0 + 2)) + 1. Let d(k) be the second derivative of k + 0 + 1/20*k**f - 1/36*k**4 + 1/3*k**2 - 1/6*k**3 - 1/90*k**6. Factor d(g).
-(g - 2)*(g - 1)**2*(g + 1)/3
Factor -4*q**2 + 0*q**2 + 4*q**4 + 3*q + q - 4*q**3.
4*q*(q - 1)**2*(q + 1)
Let o = -204 + 212. Solve 33/2*h**2 + o*h**4 + 5*h + 20*h**3 + 1/2 = 0 for h.
-1, -1/4
Let t(j) = j**2 + j - 4. Let k be t(-3). Let o = 99/28 + -1/28. Let d + o*d**k + 0 = 0. Calculate d.
-2/7, 0
Let l be (-4)/5 - (-52)/(-10). Let q(h) = -6*h**2 + 22*h - 12. Let n(k) = -6*k**2 + 22*k - 12. Let b(w) = l*q(w) + 5*n(w). Factor b(d).
2*(d - 3)*(3*d - 2)
Let o(f) be the second derivative of -f**6/135 - f**5/3 - 50*f**4/9 - 1000*f**3/27 + 5*f. Factor o(v).
-2*v*(v + 10)**3/9
Let k(a) be the second derivative of -2*a + 0*a**3 + 1/96*a**4 + 0 - 1/120*a**6 + 1/2*a**2 - 1/80*a**5. Let p(c) be the first derivative of k(c). Factor p(m).
-m*(m + 1)*(4*m - 1)/4
Let q(i) be the third derivative of i**5/60 + i**4/12 - i**3/2 - 18*i**2. Solve q(p) = 0.
-3, 1
Suppose 5*i + 0*i - 2*f = 19, -i = -3*f - 9. Let u = -3 - -6. Factor 0*o**2 - u*o - o**i + 3*o**2 - 4 + 5.
-(o - 1)**3
Let r(l) be the third derivative of l**6/90 + l**5/15 + l**4/9 - 12*l**2. Factor r(i).
4*i*(i + 1)*(i + 2)/3
Let s(a) be the third derivative of 2*a**7/5 - 5*a**6/3 + 4*a**5/5 + 4*a**4/3 + 10*a**2. Let s(h) = 0. Calculate h.
-2/7, 0, 2/3, 2
Factor -4/7*r + 0*r**2 + 4/7*r**3 - 2/7*r**4 + 2/7.
-2*(r - 1)**3*(r + 1)/7
Let u(r) be the first derivative of r**7/168 - r**6/40 + 3*r**5/80 - r**4/4