+ 1/4 = 0. What is d?
-1, 1
Let s(g) be the third derivative of -g**7/1050 + g**6/600 + g**5/300 - g**4/120 - 10*g**2. Suppose s(q) = 0. What is q?
-1, 0, 1
Let c(d) be the third derivative of -5*d**8/336 + 2*d**7/21 - d**6/8 + 52*d**2. Solve c(u) = 0 for u.
0, 1, 3
Let v(b) be the second derivative of -b**6/45 + b**5/15 - 7*b. What is t in v(t) = 0?
0, 2
Suppose 35 = -6*k + k. Let a(f) = -2*f**2 - 3*f - 3. Let c(t) = 4*t**2 + 7*t + 7. Let i(w) = k*a(w) - 3*c(w). Factor i(p).
2*p**2
Let g be 135/300 - 1/(-10)*-2. Find u, given that 5/4*u**2 + g*u**3 + 2*u + 1 = 0.
-2, -1
Let s(b) be the first derivative of 6*b**5/5 + 9*b**4/4 + b**3 - 3. Find p such that s(p) = 0.
-1, -1/2, 0
Let o(d) = 2*d + 38. Let c be o(-17). Let 0 + 4/9*v**2 + 0*v - 2/9*v**c - 2/9*v**3 = 0. What is v?
-2, 0, 1
Let 5*h**4 - 4*h**4 + h**5 - 2*h**4 = 0. What is h?
0, 1
Let d = -4 - 1. Let z = -3 - d. Factor -2*u**2 + 8*u - z - 9 + 3.
-2*(u - 2)**2
Suppose 4*s + 2*q = 2*s + 2, 5 = 4*s + 5*q. Factor -2/7*n**2 + s + 0*n - 2/7*n**4 - 4/7*n**3.
-2*n**2*(n + 1)**2/7
Let u(m) be the second derivative of 0*m**3 - 1/21*m**7 + 1/15*m**6 - 1/6*m**4 - 2*m + 1/10*m**5 + 0 + 0*m**2. Determine r so that u(r) = 0.
-1, 0, 1
Let r(n) be the first derivative of n**3/3 + 7*n**2/2 + 2*n - 4. Let x be r(-7). Factor -10*h**3 - 4 - 12*h**x - 3*h - 2*h - 6*h**2 - 9*h - 2*h**4.
-2*(h + 1)**3*(h + 2)
Suppose -10*p + 25*p = 0. Suppose p + 2/9*t**4 + 0*t**2 + 8/9*t**5 + 0*t + 0*t**3 = 0. Calculate t.
-1/4, 0
Let f be 1/6*18/12. Let 0*p + f - 1/4*p**2 = 0. What is p?
-1, 1
Factor 0 - 1/6*t**3 + 0*t + 1/3*t**2.
-t**2*(t - 2)/6
Let o = 43 + -22. Let l = -16 + o. Factor -2/9*b**l + 0*b**4 + 0 + 0*b**2 - 2/9*b + 4/9*b**3.
-2*b*(b - 1)**2*(b + 1)**2/9
Let z = 156 + -154. Factor -11/6*b**z - 3/2*b + 1/3.
-(b + 1)*(11*b - 2)/6
Let u = 10/77 - 723/6160. Let a(g) be the second derivative of 1/120*g**6 - u*g**5 + 1/168*g**7 + 0 + 0*g**2 + 0*g**3 - g - 1/48*g**4. Factor a(s).
s**2*(s - 1)*(s + 1)**2/4
Let z(c) = 6 + 4*c + 245*c**2 - 7*c - 246*c**2. Let a be z(-4). Solve 0 + 2/3*x + 2/3*x**a = 0 for x.
-1, 0
Factor -4/13*a**4 + 2/13*a**5 + 0*a**2 + 2/13*a**3 + 0*a + 0.
2*a**3*(a - 1)**2/13
Let v(t) be the third derivative of t**5/130 + t**4/156 - 18*t**2. Factor v(w).
2*w*(3*w + 1)/13
Suppose -v + 5*v = 0. Determine q so that -4*q**3 + v*q**2 - 2*q**2 + 4*q**3 - 2*q**3 = 0.
-1, 0
Let w(t) be the second derivative of -2*t**5/5 + t**4/3 + 4*t**3/3 - 2*t**2 - 15*t. Factor w(x).
-4*(x - 1)*(x + 1)*(2*x - 1)
Suppose -9/5*k + 3/5*k**2 + 0 = 0. Calculate k.
0, 3
Let i(y) be the third derivative of 2/15*y**6 + 25/84*y**8 + 0 + 0*y**3 + 0*y**5 + 0*y + 0*y**4 - y**2 + 8/21*y**7. Factor i(q).
4*q**3*(5*q + 2)**2
Let w = -10 + 15. Let o(c) be the first derivative of 0*c + 5/3*c**4 + 0*c**2 - 4/9*c**3 - 2 - 5/3*c**w. Factor o(s).
-s**2*(5*s - 2)**2/3
Let g(v) = v**3 + 3*v**2 - 5*v - 4. Let b be g(-4). Let y be ((-2)/10)/1*(-30)/9. Find n, given that b*n**2 - 2/3 + y*n**4 + 4/3*n - 4/3*n**3 = 0.
-1, 1
Factor 11*x - 5*x + 1 + 4*x**3 - 9 + 18*x**2.
2*(x + 1)*(x + 4)*(2*x - 1)
Let d(n) be the first derivative of 3*n**5/5 + 9*n**4/2 + 13*n**3 + 18*n**2 + 12*n + 7. Solve d(l) = 0 for l.
-2, -1
Let a = 13 - 9. Let z(r) be the first derivative of 0*r**2 - 1 - 2/15*r**5 + 0*r - 1/6*r**a - 2/27*r**3 - 1/27*r**6. Determine f, given that z(f) = 0.
-1, 0
Let d = 5 + -5. Suppose -3*v - 8 = -v + 3*z, d = -v - 2*z - 6. Find c, given that -2*c + c**3 + c**4 - c**v + 2*c - c = 0.
-1, 0, 1
Let j(a) = -5*a**4 - a**3 + 6*a**2 + 11*a - 5. Let r(f) = 24*f**4 + 6*f**3 - 30*f**2 - 54*f + 26. Let q(h) = -14*j(h) - 3*r(h). Solve q(n) = 0 for n.
-2, 1
Let g(h) be the second derivative of -h**5/100 + h**4/30 + 6*h. Factor g(a).
-a**2*(a - 2)/5
Let g = 1 + 1. Let -i - 2*i**2 - 3*i**3 - i**2 - i**g - i**4 + i**2 = 0. Calculate i.
-1, 0
Let i(x) be the first derivative of x**3/18 + x**2/6 + 24. Factor i(t).
t*(t + 2)/6
Let a(v) be the third derivative of v**6/40 + v**5/60 - 6*v**2. Factor a(n).
n**2*(3*n + 1)
Let q = 35 + -69/2. Determine r so that -1/2*r**3 - 1/2 + q*r**2 + 1/2*r = 0.
-1, 1
Let g = 30 - 27. Let b be g/(-6)*(5 + -5). Factor -2/9*c**2 + 0 + 2/9*c**3 + b*c.
2*c**2*(c - 1)/9
Let l(u) = u**3 - 7*u**2 + u - 3. Let q be l(7). Let w be (q/6)/((-1)/(-3)). What is d in d**4 - w*d**3 + 3*d**2 - 2*d**2 + 0*d**4 = 0?
0, 1
Let m(u) = -u**5 - u**4 + u**3 - u**2 + u - 1. Let z(h) = h**5 - 2*h**4 - 7*h**3 - 2*h + 2. Let i(j) = -2*m(j) - z(j). Let i(b) = 0. Calculate b.
-2, -1, 0
Let k(s) = s**3 - 10*s**2 - 8*s - 31. Let n be k(11). Let a(d) be the second derivative of -1/100*d**5 + 0*d**n + 0 + 0*d**3 + d - 1/60*d**4. Factor a(t).
-t**2*(t + 1)/5
Let t(y) be the first derivative of y**6/180 + y**5/30 + y**4/12 + 4*y**3/3 - 4. Let l(s) be the third derivative of t(s). Suppose l(d) = 0. What is d?
-1
Let s(c) be the third derivative of c**7/6 - 5*c**6/24 - 4*c**5/3 - 5*c**4/6 - 11*c**2. Factor s(w).
5*w*(w - 2)*(w + 1)*(7*w + 2)
Let p = 17/3 + -16/3. Let w be 0 + 3 + -1 + -2. Let -1/3*s**2 - p*s**5 + w*s + 0 + 1/3*s**4 + 1/3*s**3 = 0. What is s?
-1, 0, 1
Let a(c) be the first derivative of -c**6/6 - 4*c**5/25 + 4*c**4/5 + 22*c**3/15 + c**2/2 - 2*c/5 + 6. Suppose a(l) = 0. What is l?
-1, 1/5, 2
Let g(x) be the first derivative of -x**4/14 - 2*x**3/21 + x**2/7 + 2*x/7 + 2. Let g(q) = 0. Calculate q.
-1, 1
Suppose 1 = -5*n - r, 0 = 4*n - 2*n + 2*r - 6. Let z = n + 7. Factor -z + 0*b**4 - b**3 + 6 + b**4.
b**3*(b - 1)
Determine x so that -4/3 - 1/3*x**2 + 4/3*x = 0.
2
Let b(o) = 12 - 2*o**2 - 3*o**3 - 8*o - 2*o**2 - 8*o + 15*o**3. Let x(p) = -p**4 + 12*p**3 - 4*p**2 - 15*p + 11. Let n(d) = -3*b(d) + 4*x(d). Factor n(h).
-4*(h - 2)*(h - 1)**2*(h + 1)
Suppose 6 - 15 = -3*p. Let a(k) be the first derivative of 8/27*k**p - 4/9*k**2 + 2/9*k - 1. Factor a(g).
2*(2*g - 1)**2/9
Let b = 457 - 1827/4. Determine k, given that 1/2*k + 3/4 - b*k**2 = 0.
-1, 3
Let h(o) = -o**3 + 1. Let a(f) = -f**4 + 4*f**3 - 3. Let j(r) = -a(r) - 3*h(r). Solve j(m) = 0 for m.
0, 1
Factor -8/9 - 2/9*y**2 + 8/9*y.
-2*(y - 2)**2/9
Let b(o) be the first derivative of o**4 + 8*o**3/3 + 3. Find w, given that b(w) = 0.
-2, 0
Suppose 1/2*p**2 - 1/2*p**3 - 1/2*p**4 + 1/2*p + 0 = 0. Calculate p.
-1, 0, 1
Suppose -h - 1 = -5. Factor 5*s**3 + 2*s - 5*s**2 - s**2 - s**3 + 2*s**3 - 2*s**h.
-2*s*(s - 1)**3
Let y(s) be the first derivative of 0*s**2 + 0*s**4 + 5 + 1/5*s**5 + s - 2/3*s**3. Factor y(t).
(t - 1)**2*(t + 1)**2
Let z(g) be the first derivative of g**5/5 + g**4/4 - g**3 - g**2/2 + 2*g + 3. Let z(o) = 0. Calculate o.
-2, -1, 1
Factor -3*a**3 + a**5 - 3*a**2 + 2*a**5 + 5*a**4 - 2*a**4.
3*a**2*(a - 1)*(a + 1)**2
Let m be -3 - 1 - (-420)/98. Factor -m + 20/7*q - 50/7*q**2.
-2*(5*q - 1)**2/7
Suppose k + 4*k + 18 = -2*r, 2 = 3*k - 2*r. Let n be 2/4*0 - k. Factor -2/3*z + 2/3*z**n + 0.
2*z*(z - 1)/3
Let b(z) be the third derivative of 5*z**8/84 + z**7/42 - z**6/3 - z**5/6 + 5*z**4/6 + 5*z**3/6 + 25*z**2. Solve b(s) = 0 for s.
-1, -1/4, 1
Suppose 4*n + 5*m - 48 = 0, -2*n - 5*m + 65 = 3*n. Let i = n + -12. Factor 3*g**i - 3*g**5 - 2 + 3*g**5 + g + 6*g**2 - 4*g**3 - 4*g**4.
(g - 1)**3*(g + 1)*(3*g + 2)
Let o(u) = u. Let r(d) = d**2 - d + 4. Let l(p) = -4*o(p) + r(p). Factor l(n).
(n - 4)*(n - 1)
Factor -2/3*h - 1/3*h**2 - 1/3.
-(h + 1)**2/3
Find i, given that -12/5 + 21*i**2 + 441/5*i**3 - 48/5*i = 0.
-2/7, 1/3
Let r(l) be the third derivative of -3*l**7/245 + l**6/70 + 11*l**5/210 - l**4/21 - 4*l**3/21 + 10*l**2. Factor r(y).
-2*(y - 1)**2*(3*y + 2)**2/7
Let u be (15/(-25))/(1/(-5)). Let b be (3 - u)*-1 - -2. Factor 2*s**3 - 2*s**3 - 4*s**3 - 24*s**b - 5*s**3 - 12*s.
-3*s*(s + 2)*(3*s + 2)
Let k be 4 + -3 - (-3 + 2). Find z such that -6*z**3 - 3*z**2 - 1 + 3*z**4 + z**k + 3*z - z**5 + 4*z**3 = 0.
-1, 1
Find f, given that -6 + 44*f**2 - 90*f**2 + 4*f + 48*f**2 = 0.
-3, 1
Factor 48*p**3 + 9*p + 3/4 + 36*p**2.
3*(4*p + 1)**3/4
Let y(k) = -k**2 + 5*k + 1. Let n be y(4). Factor 4*h**2 + 2*h**3 + n*h**4 - 3*h**4 - 5*h**3 - 3*h**3.
2*h**2*(h - 2)*(h - 1)
Suppose -28*p = -34*p. Let c(a) be the third derivative of 1/168*a**8 - 1/30*a**5 + p*a**4 + 0*a + 1/105*a**7 - 3*a**2 + 0 + 0*a**3 - 1/60*a**6. Factor c(n).
2*n**2*(n - 1)*(n + 1)**2
Let z(y) = 14*y - 80. Let j be z(6). Let 1/3*w + 1/3*w**j - 1/3*w**2 - 1/3*w