-1, 4
Suppose -2*y + 5*y = 0, 0 = -4*a + 5*y. Suppose a - 2/9*x**5 + 4/9*x**2 + 0*x + 0*x**4 + 2/3*x**3 = 0. What is x?
-1, 0, 2
Let q(y) be the third derivative of y**6/360 - y**5/45 - 5*y**4/72 + 5*y**2. Factor q(h).
h*(h - 5)*(h + 1)/3
Let f(y) be the second derivative of -4*y + 1/8*y**4 + 27/4*y**2 + 0 - 3/2*y**3. Factor f(c).
3*(c - 3)**2/2
Let k(g) be the first derivative of g**4/12 - g**3/3 + g**2/2 + 2*g - 3. Let q(l) be the first derivative of k(l). Solve q(h) = 0.
1
Let n(r) be the first derivative of -r**5/180 - r**4/24 - r**3/9 - r**2/2 + 2. Let l(d) be the second derivative of n(d). Factor l(j).
-(j + 1)*(j + 2)/3
Let g(k) be the second derivative of k**4/30 - 4*k**3/15 + 4*k**2/5 + 10*k + 1. Let g(i) = 0. What is i?
2
Let h = -3 + 13. Let f be (-4)/h + (-11)/(-15). Factor 2/3*v + f*v**2 + 1/3.
(v + 1)**2/3
Let b(t) = -3*t**4 - 10*t**3 + 2*t**2 - 2*t. Let a(c) = 2*c**4 + 10*c**3 - 3*c**2 + 3*c. Let q(r) = 2*a(r) + 3*b(r). Factor q(u).
-5*u**3*(u + 2)
Suppose -w + 9 = -0*w - n, 4*n + 25 = 3*w. Let l = w - 7. Factor -z**2 - 2*z**2 + z - z**l + 0*z**3 + 3*z**3.
-z*(z - 1)**3
Let f be ((-4)/1)/((-4)/2). Factor u**2 + f*u**2 - u**2.
2*u**2
Let l(j) be the second derivative of -7*j**7/6 + 21*j**6/5 - 3*j**5 + 2*j**4/3 + 11*j. Factor l(d).
-d**2*(d - 2)*(7*d - 2)**2
Let o(d) be the second derivative of d**9/5292 - d**8/5880 - d**7/1470 + d**6/1260 + d**3/3 + 3*d. Let p(q) be the second derivative of o(q). Solve p(c) = 0.
-1, 0, 1/2, 1
Suppose 0*a**2 + 0*a + 0 + 2/9*a**3 = 0. Calculate a.
0
Let k(u) be the first derivative of -12*u**2 + 0*u - 20*u**3 - 9/5*u**5 - 21/2*u**4 + 1. Factor k(o).
-3*o*(o + 2)**2*(3*o + 2)
Let k(n) = -7*n**3 - 4*n**2 - 7*n - 6. Let z(o) = 4 + o**2 + 6*o**3 + 2*o**2 + 6*o - 2 + 3. Let p(h) = 5*k(h) + 6*z(h). What is j in p(j) = 0?
0, 1
Determine q, given that -4/3*q**4 + 4/3*q**2 + 2/3*q + 0*q**3 - 2/3*q**5 + 0 = 0.
-1, 0, 1
Let a(c) be the first derivative of -c**5/45 - c**4/12 - 2*c**3/27 - 29. Factor a(t).
-t**2*(t + 1)*(t + 2)/9
Let m(x) be the second derivative of -x**6/90 - x**5/180 - x. Let m(c) = 0. Calculate c.
-1/3, 0
Let z(a) be the first derivative of -a**6/30 - 7*a**5/40 - 3*a**4/8 - 5*a**3/12 - a**2/4 - 2*a + 4. Let h(j) be the first derivative of z(j). Factor h(v).
-(v + 1)**3*(2*v + 1)/2
Let k(v) = 10*v**3 + 8*v**2 - 2*v - 2. Let t(i) = -i**2 - i + 1. Let q = -3 - -5. Let s(x) = q*t(x) + k(x). Factor s(w).
2*w*(w + 1)*(5*w - 2)
Factor -6*u**2 - 21/4*u - 3/4 + 12*u**3.
3*(u - 1)*(4*u + 1)**2/4
Let c(z) be the first derivative of z**5/120 + z**4/24 + z**3/18 - 4*z + 1. Let a(u) be the first derivative of c(u). Let a(g) = 0. What is g?
-2, -1, 0
Let k(d) be the second derivative of -d**4/18 - 16*d**3/9 - 64*d**2/3 + 2*d + 17. Factor k(w).
-2*(w + 8)**2/3
Let t(h) = 10*h**3 + 12*h**2 + 8*h + 4. Let d(a) = -a**4 + 31*a**3 + 36*a**2 + 24*a + 13. Let k(q) = -2*d(q) + 7*t(q). Factor k(x).
2*(x + 1)**4
Let g = -8 - -11. Solve -g*d**5 + 0*d**4 + d**5 - 6*d**4 + 2*d**4 - 2*d**3 = 0.
-1, 0
Let u(z) = -3*z - 18. Let y be u(-6). Let j(k) be the third derivative of 1/90*k**5 + 0 + y*k - 2*k**2 + 1/18*k**4 + 1/9*k**3. Factor j(r).
2*(r + 1)**2/3
Suppose -v - 6*v = 0. Factor 0*w + v - 2/5*w**2.
-2*w**2/5
Suppose -p = 4*v, 0 = 4*v - v - 4*p - 19. Let j be (12/144)/(v/3). Suppose 9/4*d**2 - 7/4*d + 1/2 - 5/4*d**3 + j*d**4 = 0. What is d?
1, 2
Let j(s) = -3*s + 6 + 5*s + 8. Let f be j(-7). Factor f + 2/5*g**2 - 2/5*g.
2*g*(g - 1)/5
Let t(q) be the third derivative of q**9/75600 - q**8/16800 + q**7/12600 + q**4/24 - 2*q**2. Let w(v) be the second derivative of t(v). Factor w(o).
o**2*(o - 1)**2/5
Let s = 15 + -12. Factor v**s + 17*v**2 - 4 - 11*v**3 - v**2 - 2*v.
-2*(v - 1)**2*(5*v + 2)
Factor 0*v**2 + 0 - 2/3*v**3 + 0*v.
-2*v**3/3
Let -8/7 + 2/7*q**3 + 16/7*q - 10/7*q**2 = 0. Calculate q.
1, 2
Let b(f) be the second derivative of -f**5/4 + 35*f**4/12 - 40*f**3/3 + 30*f**2 + 20*f. Find u such that b(u) = 0.
2, 3
Let o(b) = -b**5 - b**3 - b**2 - b. Let p(f) = -4*f**5 - 4*f**4 + f**3 - 9*f**2 - 4*f. Let l(h) = 10*o(h) - 2*p(h). Factor l(m).
-2*m*(m - 1)**4
Let f(u) be the second derivative of 1/24*u**3 + 1/4*u**2 + 2*u - 1/24*u**4 + 0 - 1/80*u**5. Find h such that f(h) = 0.
-2, -1, 1
Factor -4 + 9*i**2 - 2*i**2 - 4*i**2 + 1.
3*(i - 1)*(i + 1)
Let g = -297 + 2677/9. Solve g*s + 2/9 + 2/9*s**2 = 0 for s.
-1
Let v(c) = -c + 2. Let k be v(0). Let w(r) be the second derivative of 4*r**3 + k*r + 7/6*r**4 + 0 - 4*r**2. Factor w(u).
2*(u + 2)*(7*u - 2)
Let t be ((-8)/20 - 0)*-5. Factor 16*f + f**2 - 2*f**2 - 5*f**t + 2*f**2 - 16.
-4*(f - 2)**2
Let y(w) be the second derivative of 0 - 4/3*w**3 + 0*w**2 + 6*w + 2/3*w**4 + 3/10*w**5. Factor y(x).
2*x*(x + 2)*(3*x - 2)
Let u be (1/(-5))/((-8)/16). Suppose -4*o = 8, -3*z + o = -3*o - 8. Factor z*m**2 + 0 - u*m + 2/5*m**3.
2*m*(m - 1)*(m + 1)/5
Let s(a) be the third derivative of -a**9/241920 - a**8/40320 - a**7/20160 + a**5/30 - a**2. Let w(f) be the third derivative of s(f). Factor w(x).
-x*(x + 1)**2/4
Suppose 3*i + i + 3*l = 20, -5 = -i + 2*l. Suppose 0 = i*f - f - 12. Factor -1/4*w**4 + 1/2*w - 1/2*w**f + 1/4*w**2 + 0.
-w*(w - 1)*(w + 1)*(w + 2)/4
Let f(h) be the second derivative of 0 + 1/10*h**2 + 1/20*h**4 - 5*h - 2/15*h**3. Let f(j) = 0. Calculate j.
1/3, 1
Let w be (3/18)/(4/3). Let z(r) be the first derivative of 1/2*r**2 - 1 - 1/6*r**3 + 0*r - w*r**4. Determine m, given that z(m) = 0.
-2, 0, 1
Let w(c) = 5*c**5 + 15*c**4 + 26*c**3 + 5*c**2. Let r(y) = y**5 + 3*y**4 + 5*y**3 + y**2. Let d(q) = -22*r(q) + 4*w(q). Factor d(x).
-2*x**2*(x + 1)**3
Let a(w) be the first derivative of -2*w**2 - 4 + 2/5*w**5 + 10/3*w**3 + 0*w - 2*w**4. Find m, given that a(m) = 0.
0, 1, 2
Let v(c) be the first derivative of -c**6/39 - 14*c**5/65 - 3*c**4/13 + 62. Factor v(h).
-2*h**3*(h + 1)*(h + 6)/13
Let l be (-4)/2 + (-55)/(-25). Factor -l*d**2 + 1/5*d**3 + 0 - 2/5*d.
d*(d - 2)*(d + 1)/5
Let j(x) be the first derivative of 5*x**3/9 - 5*x/3 + 5. Determine r, given that j(r) = 0.
-1, 1
Let q be -5 - -2 - 7/(-1). Let k(v) be the third derivative of -1/24*v**q - 1/15*v**6 + 2*v**2 - 1/60*v**7 + 0*v + 0 - 11/120*v**5 + 0*v**3. Factor k(z).
-z*(z + 1)**2*(7*z + 2)/2
Let k(s) = -s**3 + s - 1. Let q(g) = -2*g**4 + 4*g**2 + 2*g - 2. Let c(i) = -4*k(i) + 2*q(i). Solve c(v) = 0.
-1, 0, 2
Factor 9 - 5*z**2 - 20*z - 54 - 10 - 40*z.
-5*(z + 1)*(z + 11)
Let f(j) = 17*j**4 + 37*j**3 + 33*j**2 - 4*j - 17. Let n(q) = -8*q**4 - 18*q**3 - 16*q**2 + 2*q + 8. Let m(r) = 4*f(r) + 9*n(r). Determine a so that m(a) = 0.
-2, -1, 1/2
Let o = 19549/36 + -543. Let d(j) be the second derivative of -1/60*j**5 - 4*j + 0 - 1/6*j**2 + o*j**4 + 1/18*j**3. Suppose d(q) = 0. Calculate q.
-1, 1
Let j(y) be the first derivative of -y**8/6720 + y**7/3360 + y**6/480 - y**5/480 - y**4/48 + y**3 - 1. Let b(o) be the third derivative of j(o). Factor b(m).
-(m - 2)*(m - 1)*(m + 1)**2/4
Solve -2/3*x - 2/15*x**2 + 0 = 0 for x.
-5, 0
Let y = 1/426 - -7655/5538. Find c, given that -y*c**2 + 8/13 + 32/13*c = 0.
-2/9, 2
Let t(s) be the first derivative of -1/9*s**3 - 2/3*s + 3 - 1/2*s**2. What is m in t(m) = 0?
-2, -1
Let p(v) be the first derivative of v**8/1680 - v**7/240 + v**6/80 - v**5/48 + v**4/48 + 7*v**3/3 - 8. Let k(r) be the third derivative of p(r). Solve k(l) = 0.
1/2, 1
Let m(j) = 8*j**4 - 48*j**3 + 148*j**2 - 192*j + 90. Let l(t) = t**4 - t**3 + t**2 + t. Let v(h) = -3*l(h) + m(h). Find i such that v(i) = 0.
1, 2, 3
Let x be (-6)/14 - ((-260)/84 - -2). Factor 0*b + 2/3 - x*b**2.
-2*(b - 1)*(b + 1)/3
Let z(t) be the second derivative of 7*t**5/20 - t**4/6 + 16*t. Factor z(v).
v**2*(7*v - 2)
Let y(j) be the third derivative of -1/6*j**3 - 1/16*j**4 + 0 - 4*j**2 + 0*j - 1/120*j**5. Factor y(v).
-(v + 1)*(v + 2)/2
Let u(b) be the third derivative of 0 + 0*b**3 + 1/350*b**7 + 0*b + 1/300*b**5 + 0*b**4 - 1/1680*b**8 - 2*b**2 - 1/200*b**6. Factor u(k).
-k**2*(k - 1)**3/5
Let i(n) be the third derivative of -n**5/15 - n**4/6 + 4*n**3/3 + 3*n**2. Determine x so that i(x) = 0.
-2, 1
Let q(r) be the first derivative of 2*r**3/27 + 4*r**2/9 + 8*r/9 + 1. Suppose q(n) = 0. What is n?
-2
Let m be (-20)/(25/(-5)) + -6 + 2. Determine r, given that -4/3*r**2 - 2/3*r - 2/3*r**3 + m = 0.
-1, 0
Let d(v) be the first derivative of -3*v**4/4 - 3*v*