 3 + 1/3*o**2 + 0*o. Suppose w(c) = 0. What is c?
-1, 0, 1
Let v = -6 + 13. Find a such that 0*a**2 + 5*a - a**2 + v*a + 4*a**2 + 12 = 0.
-2
Let a = 0 + 3. Let w(i) be the first derivative of -1/12*i**6 + 1/5*i**5 + 0*i**a - 1/8*i**4 + 1 + 0*i + 0*i**2. What is d in w(d) = 0?
0, 1
Let s = 7636 + -23155/3. Let q = s - -83. Factor -2/3*u**2 - 2/3*u**3 + 0 + 2/3*u**5 + q*u**4 + 0*u.
2*u**2*(u - 1)*(u + 1)**2/3
Let s(w) be the second derivative of -w**6/1620 + w**5/540 - 2*w**3/3 - w. Let q(r) be the second derivative of s(r). Suppose q(k) = 0. What is k?
0, 1
Let z(q) = 3*q**2 - 3. Let p = -2 + 1. Let m be -2 - (1 - 2) - -5. Let n(k) = k**2 - 1. Let i(v) = m*n(v) + p*z(v). Solve i(j) = 0.
-1, 1
What is v in 0 - 4/3*v - 2/3*v**5 - 10/3*v**4 - 6*v**3 - 14/3*v**2 = 0?
-2, -1, 0
Let w(k) be the first derivative of -k**3 - 6*k**2 + 15*k - 6. Solve w(j) = 0 for j.
-5, 1
Let q(r) = 2*r**5 - 13*r**4 + 13*r**2 + 7*r - 9. Let k(w) = 6*w**2 + w**5 - 4 - 5*w + 7*w + w - 6*w**4. Let b(h) = 9*k(h) - 4*q(h). Factor b(n).
n*(n - 1)**3*(n + 1)
Let n(x) be the first derivative of -x**4/30 + 4*x**3/45 + x**2/15 - 4*x/15 + 32. Factor n(u).
-2*(u - 2)*(u - 1)*(u + 1)/15
Let s = 40/9 - 34/9. Let y be (2 + -6)/(-2) - 2. Determine p, given that y - s*p - 7/3*p**2 - 4/3*p**3 + 4/3*p**4 = 0.
-1/2, 0, 2
Let b(l) = -l**2 - 7*l - 7. Let r be b(-5). Let o be (-308)/42*r/(-8). Factor o*x**3 + 1/2 + 15/4*x**2 + 9/4*x + 3/4*x**4.
(x + 1)**3*(3*x + 2)/4
Factor -2/13*o**4 - 32/13 - 16/13*o**3 - 64/13*o - 48/13*o**2.
-2*(o + 2)**4/13
Let p be 2/150*-6 - 31/(-75). Factor 0 + p*n**2 - 1/3*n.
n*(n - 1)/3
Determine f so that -15*f**3 + 5*f**2 - 5*f**4 - 10 - 2 + 35*f - 18 + 10*f**2 = 0.
-3, -2, 1
Let j(o) be the third derivative of -o**7/525 + o**6/300 + o**5/150 - o**4/60 - 8*o**2. Factor j(t).
-2*t*(t - 1)**2*(t + 1)/5
Let k(c) = 3*c**3 - 6*c**2 - 12*c + 6. Let o(j) = j. Let v(x) = -k(x) - 9*o(x). Factor v(b).
-3*(b - 2)*(b - 1)*(b + 1)
Let h(w) be the third derivative of w**10/378000 - w**9/151200 - w**8/25200 - w**5/30 + 5*w**2. Let o(i) be the third derivative of h(i). Factor o(p).
2*p**2*(p - 2)*(p + 1)/5
Let -6*c - 3 + 0*c + 6*c**3 + 1 - 1 + 3*c**4 = 0. Calculate c.
-1, 1
Let b(n) be the third derivative of -n**5/60 + n**4/6 + 15*n**2. Factor b(h).
-h*(h - 4)
Let y(b) be the second derivative of b**5/70 - b**4/126 + 16*b. Factor y(p).
2*p**2*(3*p - 1)/21
Let o = -191 - -193. Determine q so that 2/9*q**3 + 8/3*q + 4/3*q**o + 16/9 = 0.
-2
Let s(z) = -7*z**2 + 7*z + 10. Let x(k) = -k**2 + k + 1. Suppose -6*r + 6 = -12*r. Let a = -3 - -7. Let u(b) = a*x(b) + r*s(b). Factor u(w).
3*(w - 2)*(w + 1)
Let z(d) be the second derivative of d**5/5 - d. Factor z(f).
4*f**3
Let i be -2 + ((-144)/(-21))/3. Factor 0 + i*g**4 - 2/7*g**3 + 2/7*g - 2/7*g**2.
2*g*(g - 1)**2*(g + 1)/7
Solve -1/4*p**2 + 0*p + 0 - 1/4*p**5 + 1/4*p**3 + 1/4*p**4 = 0 for p.
-1, 0, 1
Suppose -4*o = 5*k + 6, -3*k - 2*k + 6 = o. Solve -5/2*l**2 - k + 1/2*l**3 + 4*l = 0 for l.
1, 2
Factor -4/3 + 10/3*r**3 + 6*r - 8*r**2.
2*(r - 1)**2*(5*r - 2)/3
Let z be -2 - 1/(2/(-6)). Let a be 6 + (-4)/z + 2. Factor 2*n + 8*n**a + 10*n**3 - 4*n**4 + 8*n**2 + 0*n.
2*n*(n + 1)**2*(2*n + 1)
Let v = 9 - 6. Factor 0*i + 2/7*i**v + 2/7*i**2 + 0.
2*i**2*(i + 1)/7
Let 2*h**2 - 8*h**2 - 5*h + 7*h - 5*h = 0. What is h?
-1/2, 0
Suppose -9*h**2 - 3/4 + 9/2*h - 9/4*h**4 + 15/2*h**3 = 0. Calculate h.
1/3, 1
Suppose -36*h = -31*h - 10. Find m, given that -1/4*m**h + 3/4*m - 1/2 = 0.
1, 2
Let j be (-2 - (-10)/6) + (-11)/(-15). Let o be (-21)/(-6) - 2/4. Find u, given that -2/5*u + 2/5*u**4 + 2/5*u**o + 0 - j*u**2 = 0.
-1, 0, 1
Let l = 17 + -33/2. Let p = -43 - -45. Factor -l*k**p + 1/2*k**4 + 0 + 1/2*k - 1/2*k**3.
k*(k - 1)**2*(k + 1)/2
Let b(w) be the third derivative of -1/300*w**5 + 0*w**3 + w**2 + 0 + 0*w - 1/120*w**4. Factor b(s).
-s*(s + 1)/5
Let y be (-20)/(-105)*(-21)/(-28). Let -1/7*r**3 + 0 + y*r + 0*r**2 = 0. What is r?
-1, 0, 1
Factor -3*g**3 - 24*g**2 - 10 - 51*g - 31 + 11.
-3*(g + 1)*(g + 2)*(g + 5)
Let g(y) be the third derivative of y**5/60 + y**4/12 - y**3/2 - 4*y**2. Let f(l) = -3*l**2 - 5*l + 8. Let v(r) = 3*f(r) + 8*g(r). Suppose v(b) = 0. What is b?
0, 1
Let x(t) be the second derivative of -t**5/90 - t**4/54 + t**3/27 + t**2/9 + 5*t. Factor x(y).
-2*(y - 1)*(y + 1)**2/9
Let t be 2 - (-2)/3*3. Let u = t + -11/3. Let -1/3 - 2/3*d + u*d**4 + 0*d**2 + 2/3*d**3 = 0. What is d?
-1, 1
Let j(w) be the second derivative of 1/3*w**4 + 0 - 1/5*w**5 + 3*w + 1/21*w**7 + 1/3*w**3 - 1/15*w**6 - w**2. Factor j(f).
2*(f - 1)**3*(f + 1)**2
Let w(v) be the first derivative of -5 + 32/21*v**3 + 1/2*v**4 + 0*v + 4/7*v**2. Factor w(c).
2*c*(c + 2)*(7*c + 2)/7
Let z(u) be the second derivative of 0 + 1/36*u**4 + 2*u + 1/9*u**3 + 1/6*u**2. What is l in z(l) = 0?
-1
Let f(r) be the third derivative of 2*r**7/525 + r**6/75 - r**5/25 - 4*r**4/15 - 8*r**3/15 - 3*r**2. Determine x, given that f(x) = 0.
-2, -1, 2
Suppose -2*v = 2*v - 16. Suppose -u + 10 = v*u. Factor 1/4*j**u + 1/4 - 1/2*j.
(j - 1)**2/4
Suppose -63*i = -46*i - 34. Factor 1/4*k**i + 1/2 - 3/4*k.
(k - 2)*(k - 1)/4
Factor 1/2 - 1/4*v**3 - 1/4*v**4 + 5/4*v + 3/4*v**2.
-(v - 2)*(v + 1)**3/4
Let w(i) be the first derivative of -i**4/4 - 4*i**3 - 24*i**2 - 64*i + 8. Find s such that w(s) = 0.
-4
Let o(f) be the third derivative of f**9/90720 - f**8/30240 - f**5/20 - 4*f**2. Let z(c) be the third derivative of o(c). Factor z(t).
2*t**2*(t - 1)/3
Let v(n) be the third derivative of 1/20*n**6 + 0*n - 1/2*n**4 + 1/5*n**5 - 1/14*n**7 + 1/2*n**3 + 3*n**2 + 0 + 1/56*n**8. Find t such that v(t) = 0.
-1, 1/2, 1
Let l(i) be the third derivative of 0*i**3 + 0*i**4 + 0*i - 4*i**2 + 0 - 1/30*i**5 + 1/40*i**6 - 1/210*i**7. Factor l(j).
-j**2*(j - 2)*(j - 1)
Let u = -250/3 + 84. Factor u + h + 1/3*h**2.
(h + 1)*(h + 2)/3
Suppose -5*x + m = -5, -3*x + 3 = m + m. Let k be 1/(x + 0) - -2. Suppose 2/3*y + 0 + 2*y**4 - 2/3*y**k - 2*y**2 = 0. Calculate y.
-1, 0, 1/3, 1
Let k(u) = -u + 6. Let y be k(4). Factor 6*o + y*o**4 - o**2 - 4 + 7*o**2 + 4*o**4 - 14*o**3.
2*(o - 1)**3*(3*o + 2)
Let j(g) = 3*g + 9. Let q be j(0). Suppose u = -5*t - 5, -5*u - 5*t - q = -4. Suppose -14/9*m**3 + 0 + u*m + 4/9*m**2 = 0. Calculate m.
0, 2/7
Factor 4/3*q**2 - 4/3*q**4 - 4/3*q**5 - 32/3*q + 16/3 + 20/3*q**3.
-4*(q - 1)**3*(q + 2)**2/3
Let h be (0 - (-7 + 1))*(-30)/(-45). Let i(o) be the first derivative of -5/4*o**h + o**3 + 3 + o - 4/5*o**5 + 5/2*o**2. Factor i(x).
-(x - 1)*(x + 1)**2*(4*x + 1)
Let f(x) be the third derivative of x**5/40 + x**4/48 - 25*x**2. Factor f(w).
w*(3*w + 1)/2
Let v(g) = 6*g**5 - 5*g**4 - 8*g**3 - 7*g**2 + 5. Let b(z) = z**5 - z**4 - z**3 - z**2 + 1. Let m(n) = 15*b(n) - 3*v(n). Solve m(c) = 0 for c.
-1, 0, 2
Let y be (-12)/(-42) + 104/28. Solve 1/2*s**3 - 1/6*s**y + 0 + 1/6*s - 1/2*s**2 = 0.
0, 1
Suppose 2*w - 2*a - 18 = 2, -2*w - 5*a - 15 = 0. Find g, given that -w*g - 18*g**2 + 19 - 73 - 51*g - 2*g**3 + 2*g = 0.
-3
Let k be -1*12/10*90/(-27). Find r such that -4/3*r**3 + 1/3*r**k + 5/3*r**2 - 2/3*r + 0 = 0.
0, 1, 2
Let c(g) be the second derivative of g**8/6720 + g**4/12 - 2*g. Let i(b) be the third derivative of c(b). Solve i(n) = 0 for n.
0
Let x be 125/60 + -4 - -2. Let t(r) be the third derivative of 0*r + r**2 + 0 + 1/6*r**3 - x*r**4 + 1/60*r**5. Solve t(j) = 0 for j.
1
Let m(f) be the first derivative of -f**3/15 + 4*f/5 - 3. Factor m(h).
-(h - 2)*(h + 2)/5
Let v be (-760)/(-252) - 3 - 3/(-7). Factor -2/9*l + v - 2/9*l**2.
-2*(l - 1)*(l + 2)/9
Let m(n) be the second derivative of -n**5/30 - n**4/12 - 3*n**2/2 + 4*n. Let v(q) be the first derivative of m(q). Let v(j) = 0. Calculate j.
-1, 0
Let 0 - 16/3*s - 1/3*s**3 + 8/3*s**2 = 0. What is s?
0, 4
Suppose 2*d + 7*p = 3*p + 18, 4*d - 14 = 3*p. Suppose -25*a**4 - 29*a**2 - 11*a**4 + 57*a - 48*a**d + 6 + 141*a**3 + 197*a**2 + 12*a**4 = 0. Calculate a.
-1, -1/4, 2
Let t(o) be the first derivative of o**6/21 + 2*o**5/35 - 9*o**4/14 + 22*o**3/21 - 4*o**2/7 - 29. Solve t(w) = 0 for w.
-4, 0, 1
Let h(j) = -4*j**5 - 6*j**4 - 3*j**3 + j**2 - 3*j. Let b(z) = -z**5 - z**4 - z**3 - z**2 - z. Let u(w) = 3*b(w) - h(w). Determine f, given that u(f) = 0.
-2, 0, 1
Let f(p) be the first derivative of 0*p**3 - 1/27*p**6 - 1/9*p**2 + 1/9*p**4 + 0*p + 0*p**5 - 4. Let f(i) =