 0*g - 1. Determine t so that y(t) = 0.
0, 1/3
Let n(r) = r**3 + 2*r**2 - r + 4. Let h(a) = 2*a**3 + 6*a**2 - 2*a + 10. Let w(s) = -3*h(s) + 8*n(s). Factor w(t).
2*(t - 1)**2*(t + 1)
Let f(x) = 4*x**2 + 13*x + 3. Suppose k + 13 = 3*r + 2*k, -r - k + 1 = 0. Let g(u) = 4*u**2 + 13*u + 3. Let t(j) = r*g(j) - 7*f(j). Factor t(a).
-(a + 3)*(4*a + 1)
Solve -3/4*i**2 + 0*i + 3/4 = 0 for i.
-1, 1
Suppose -3*y + 7*y - 248 = 0. Let d = 312/5 - y. Find a such that 2/5*a**2 - d - 8/5*a**3 + 8/5*a = 0.
-1, 1/4, 1
Suppose 15 = 5*l, -g + 4*l = -5*g + 24. What is u in g*u + 0*u**2 - u**2 - 4*u**3 - 3*u**4 + 4*u**2 + u**3 = 0?
-1, 0, 1
Determine o so that 4*o**3 + 26*o**2 - 264 - 6*o**2 - 4*o + 244 = 0.
-5, -1, 1
Let l(x) be the second derivative of x**6/210 + 3*x**5/140 + x**4/28 + x**3/42 + 4*x. Let l(z) = 0. Calculate z.
-1, 0
Let 2/5*w**3 + 2/5*w**4 - 2*w - 4/5 - 6/5*w**2 = 0. Calculate w.
-1, 2
Let q(b) be the second derivative of 3*b**5/140 - b**4/14 + b**3/14 - 23*b. Find y, given that q(y) = 0.
0, 1
Let i = 2/49 - -178/441. Determine l, given that 2/9*l**5 + 0*l**4 + 0*l + i*l**2 + 0 - 2/3*l**3 = 0.
-2, 0, 1
Let s(x) be the second derivative of -x**4/15 + 8*x**3/15 - 8*x**2/5 - 5*x. Solve s(j) = 0.
2
Factor 44*n**3 - 12*n**4 - 41*n**3 + 12*n**5 - 3*n**5.
3*n**3*(n - 1)*(3*n - 1)
Factor -6*h**5 - 3*h**4 + 3*h**5 + 6*h**3 - 85*h**2 + 91*h**2 - 3*h - 3.
-3*(h - 1)**2*(h + 1)**3
Let f(m) = -8*m**3 - m**2 + 1. Let j be f(-1). Suppose 2*s**2 - j*s**5 - 2*s**4 + 8*s**3 - 9 + 9 = 0. What is s?
-1, -1/4, 0, 1
Suppose 43 = -12*g + 103. Let v(s) be the second derivative of 1/14*s**7 + 1/2*s**3 - 2/5*s**6 + 9/10*s**g - s**4 + 0 + 0*s**2 + 3*s. Factor v(y).
3*y*(y - 1)**4
Factor 2/9*l**2 + 0*l - 2/9*l**4 + 0*l**3 + 0.
-2*l**2*(l - 1)*(l + 1)/9
Let o(g) = g**2 - 7*g + 3. Let n be o(5). Let s = -13/2 - n. Factor -1/2*m**2 - 1/2*m + 1/2*m**3 + s.
(m - 1)**2*(m + 1)/2
Let c(n) = n**2 - n + 7. Let l be c(0). Let z = 10 - l. Factor -1/4*a + 0 - 1/2*a**2 - 1/4*a**z.
-a*(a + 1)**2/4
Let q = -9 + 12. Suppose -o - o**q - 3*o**2 + 0*o**3 + 5*o**2 = 0. Calculate o.
0, 1
Let k(g) be the first derivative of g**4/20 + g**3/5 + g**2/5 - 6. Suppose k(x) = 0. What is x?
-2, -1, 0
Let a be (12/(-20))/((-2)/10). Suppose f - 8 = -a*f. Solve 0 - 2*r**3 + 3*r**2 + 2*r - 2 - r**f = 0.
-1, 1
Suppose -i + 5*o = i - 31, -2*i + 2*o = -16. Suppose i*t + 4*u - 6 = 1, -10 = 5*u. Suppose -5 - c + t + c**3 = 0. Calculate c.
-1, 0, 1
Let h(p) = -5*p**3 - 6*p**2 + 2*p - 2. Let t(g) = 11*g**3 + 12*g**2 - 5*g + 5. Let f(w) = 5*h(w) + 2*t(w). Factor f(r).
-3*r**2*(r + 2)
Let i(q) be the second derivative of -q**6/60 + q**5/30 + q**4/12 - q**3/3 + q**2/2 + 2*q. Let l(w) be the first derivative of i(w). Factor l(k).
-2*(k - 1)**2*(k + 1)
Suppose -1/6*m**2 + 0 + 1/6*m**3 + 0*m = 0. Calculate m.
0, 1
Let x be (-21)/14*(-8)/3. Find t such that 0*t**2 + 2/7*t**5 + 0 + 0*t + 2/7*t**3 - 4/7*t**x = 0.
0, 1
Let u = 21 - 21. Factor 0*g**4 - 4/7*g**2 - 6/7*g**3 + 2/7*g**5 + 0 + u*g.
2*g**2*(g - 2)*(g + 1)**2/7
Let n(d) be the third derivative of d**6/780 - d**5/130 + d**4/78 + d**2 + 8. Solve n(o) = 0.
0, 1, 2
Let h(a) be the second derivative of 2*a**5/5 + a**4/2 - a**3/2 - 3*a**2 + a. Let l(b) = 7*b**3 + 6*b**2 - 3*b - 6. Let k(i) = -4*h(i) + 5*l(i). Factor k(n).
3*(n - 1)*(n + 1)*(n + 2)
Let a(p) = -p**3 - 16*p**2 - 15*p + 12. Let f be a(-15). Find n such that -10*n**3 + 3*n**3 - n**3 - f*n**4 + 20*n**5 = 0.
-2/5, 0, 1
Let -4*l**5 + 11*l + 16*l**4 - 11*l - 19*l**3 + 7*l**3 = 0. Calculate l.
0, 1, 3
Let q(w) be the first derivative of -3*w**4/28 - w**3 - 45*w**2/14 - 27*w/7 + 6. Suppose q(o) = 0. What is o?
-3, -1
Let m(x) be the third derivative of 6*x**2 + 0 - 1/8*x**4 + 0*x + 1/10*x**5 + 1/40*x**6 - x**3. Suppose m(a) = 0. Calculate a.
-2, -1, 1
Let r = 23 + -19. Determine v so that 2/9*v**3 + 2/9*v**r + 0*v**2 + 0*v + 0 = 0.
-1, 0
Let d(s) = s**5 + 12*s**4 - s**3 - 12*s**2 - 5*s + 5. Let g(q) = -6*q**4 + 6*q**2 + 3*q - 3. Let a(k) = -3*d(k) - 5*g(k). Let a(u) = 0. Calculate u.
-2, -1, 0, 1
Let -43*x + x**2 - 7*x + 95 + 4*x**2 + 30 = 0. What is x?
5
Let o(h) be the first derivative of -2*h**3/15 + 3*h**2/5 - 4*h/5 + 6. Find z, given that o(z) = 0.
1, 2
Let o = 20/3 - 6. Let y be 6*3/(-27)*-3. Solve 0 + o*g**5 + 0*g + 2/3*g**4 + 0*g**y + 0*g**3 = 0.
-1, 0
Let c(j) be the first derivative of 1 + 1/16*j**4 + 0*j + 0*j**3 + 0*j**2. Factor c(g).
g**3/4
Let a(g) be the third derivative of g**8/840 + 2*g**7/525 + g**6/300 + 14*g**2. Factor a(d).
2*d**3*(d + 1)**2/5
Let a(f) = f**3 + f**2 - f - 1. Let o(l) = 8*l**3 + 32*l**2 - 44*l + 4. Let m(b) = 12*a(b) - o(b). Factor m(r).
4*(r - 2)**2*(r - 1)
Let x(m) = -2*m**3 + 9*m**2 + 11*m. Let s = -11 + 29. Let g(k) = k**2 + k. Let b(v) = s*g(v) - 2*x(v). Determine n so that b(n) = 0.
-1, 0, 1
Suppose 2*y - 3*h = y - 1, -3*y + 3*h = -3. Factor -4/3*l + 0 + 0*l**3 - 2/3*l**4 + y*l**2.
-2*l*(l - 1)**2*(l + 2)/3
Let q be (6/16)/((-3)/(-2)). Let -9/2*l**2 + 0*l + 27/4 - 2*l**3 - q*l**4 = 0. What is l?
-3, 1
Suppose -6 = -2*r - n - 11, r + 2*n + 10 = 0. Factor 0 + 2/11*h**2 + 2/11*h**3 + r*h.
2*h**2*(h + 1)/11
Let 3*p - 9 + 3/4*p**2 = 0. Calculate p.
-6, 2
Let n(j) be the second derivative of -5*j**4/24 - 55*j**3/12 + 47*j. Determine h so that n(h) = 0.
-11, 0
Suppose 0*k - 2 = -2*k. Let v(a) be the first derivative of -16/3*a**3 + 2*a**2 - k + 21/4*a**4 - 9/5*a**5 + 0*a. Factor v(s).
-s*(s - 1)*(3*s - 2)**2
Suppose 3*r - 9*r + 12 = 0. Factor 2/3*d + 2/3*d**r - 4/3.
2*(d - 1)*(d + 2)/3
Let b(k) be the second derivative of k**4/6 - k**2 - 9*k. Factor b(t).
2*(t - 1)*(t + 1)
Let p(r) be the second derivative of 1/8*r**4 - r - 1/40*r**5 - 1/60*r**6 + 1/2*r**2 + 0 + 5/12*r**3. Factor p(g).
-(g - 2)*(g + 1)**3/2
Let a be ((-1)/3)/(-5 + (-354)/(-72)). Let f(y) be the third derivative of 1/3*y**3 - a*y**2 + 1/6*y**4 + 0*y + 0 + 1/40*y**5. Find c, given that f(c) = 0.
-2, -2/3
Let g(u) be the first derivative of -u**6/420 - u**5/105 - u**4/84 + u**2 + 2. Let z(n) be the second derivative of g(n). Factor z(a).
-2*a*(a + 1)**2/7
Determine p, given that 1/8*p**5 + 3/2 + 51/8*p**2 + 31/8*p**3 + 9/8*p**4 + 5*p = 0.
-3, -2, -1
Let h(k) be the second derivative of -k**4/72 - k**3/9 - k**2/4 - 24*k. Find a, given that h(a) = 0.
-3, -1
Let n(c) be the first derivative of c**5/10 + c**4/4 - c**3/2 - c**2 + 2*c + 3. Find x, given that n(x) = 0.
-2, 1
Let i(b) be the first derivative of b**6/24 - b**5/20 - b**4/16 + b**3/12 + 3. Factor i(x).
x**2*(x - 1)**2*(x + 1)/4
Factor 2/9*v**2 + 0*v - 2/9.
2*(v - 1)*(v + 1)/9
Let h = -63 - -65. Suppose -2/7*d**4 + 0 - 6/7*d**h + 2/7*d + 6/7*d**3 = 0. Calculate d.
0, 1
Factor -7*s - 8*s + 0 - 3 - 2*s**2 - 10*s**2.
-3*(s + 1)*(4*s + 1)
Let 2*y**2 + 3*y**3 + 46*y - 10*y + 0*y**3 - 24 - 20*y**2 = 0. Calculate y.
2
Let w be -3 + -3 + 2 - -4. Let d(x) be the second derivative of -4*x**3 - 2*x**2 - 7/4*x**4 + w - x + 49/20*x**5. Factor d(c).
(c - 1)*(7*c + 2)**2
Let t(v) be the third derivative of v**6/120 + v**5/15 + v**4/24 - v**3 - 14*v**2. Determine l, given that t(l) = 0.
-3, -2, 1
Let j(n) = n**3 - n**2 + 5. Let h be j(0). Determine i so that h*i**4 - 3 + 6*i**2 - 12*i**4 + 4*i**4 = 0.
-1, 1
Find o such that 3/2*o**2 + 3*o + 3/2*o**5 - 9/2*o**3 - 3/2*o**4 + 0 = 0.
-1, 0, 1, 2
What is u in 0 - 4/5*u - 2/5*u**3 - 6/5*u**2 = 0?
-2, -1, 0
Let c(v) be the third derivative of -v**9/52920 + v**8/7840 - v**7/4410 + v**4/4 + v**2. Let b(x) be the second derivative of c(x). Factor b(k).
-2*k**2*(k - 2)*(k - 1)/7
Factor -1/6 + 1/3*b + 1/6*b**2 - 1/3*b**3.
-(b - 1)*(b + 1)*(2*b - 1)/6
Suppose 6*u + 2 = 14. Suppose -4*t = u*i + 8, i - 3*t - 2 = -2*t. Solve 4/7*x**2 + i + 2/7*x**3 + 0*x = 0 for x.
-2, 0
Let g = -37 + 25. Let l = -12 - g. Suppose -2/3*s + 2/3*s**2 + l = 0. What is s?
0, 1
Let a = 16 + -11. Let j(b) = -b**2 + 5*b + 1. Let v be j(a). Suppose -2*s**2 - 2*s**2 - 3 + 8*s**3 + 6*s**4 - 8*s + v = 0. Calculate s.
-1, -1/3, 1
Let 1/2*v**2 - 1/2*v + 0 = 0. What is v?
0, 1
Let v(u) be the first derivative of 1/2*u**2 + 0*u**4 + 0*u**3 + 0*u + 1/390*u**5 - 1. Let i(a) be the second derivative of v(a). Factor i(z).
2*z**2/13
Factor -5*h**3 - 15*h + 15*h**2 + 0 + 2 + 1 + 2.
-5*(h - 1)**3
Suppose 3*b - 12 = -2*w + w, 2*b - 5*w = 8. Suppose 0 = -0*i - i + b. Factor -2*d