tor 1/5*g**2 + 0*g + l + 1/5*g**p.
g**2*(g + 1)/5
Let w be 1*3/9*0. Let i(d) be the third derivative of -1/12*d**4 + w*d**3 + 0 + 1/30*d**5 + 0*d - 2*d**2. Factor i(y).
2*y*(y - 1)
Let p be (4 + (-232)/60)*5. Factor 8/3 + p*u**2 + 8/3*u.
2*(u + 2)**2/3
Let p be ((-96)/(-18))/(-8) + 1. Determine k, given that 0*k - 2/3*k**2 + p*k**3 + 0 = 0.
0, 2
Let p(a) be the second derivative of a**6/120 - a**5/120 - a**4/12 + 2*a**3/3 + a. Let d(g) be the second derivative of p(g). Let d(h) = 0. What is h?
-2/3, 1
Let s(m) be the third derivative of -m**8/20160 - m**7/2520 - m**6/720 + m**5/20 + 3*m**2. Let o(b) be the third derivative of s(b). Find l such that o(l) = 0.
-1
Determine a, given that 0 + 1/2*a**5 + 0*a - 1/2*a**2 - 1/2*a**3 + 1/2*a**4 = 0.
-1, 0, 1
Let z(f) be the second derivative of f**8/16800 + f**7/6300 + f**4/6 - 2*f. Let u(l) be the third derivative of z(l). Factor u(g).
2*g**2*(g + 1)/5
Determine l so that 4*l**3 + l - 6*l**4 + 2*l**2 + l - 2*l = 0.
-1/3, 0, 1
Let n(q) = 13*q**3 + 53*q**2 - 20*q. Let j(s) = 25*s**3 + 105*s**2 - 40*s. Let x(l) = -2*j(l) + 5*n(l). Factor x(p).
5*p*(p + 4)*(3*p - 1)
Suppose -4 = -3*y + 2*y. Factor 5*r**2 + y + 0*r**2 + 7*r - 2.
(r + 1)*(5*r + 2)
Let y = 26/15 - 4/3. Factor 0 + 0*u - y*u**2.
-2*u**2/5
Let c = -4 - -6. Let m = -1 - -6. Factor 3*u**4 - u**3 - 2*u**3 + u**c - u**m + 0*u**4.
-u**2*(u - 1)**3
Let v(o) be the first derivative of 5*o**4/4 - 5*o**3/3 - 5*o**2 + 22. Suppose v(b) = 0. Calculate b.
-1, 0, 2
Let c(m) be the second derivative of -m**9/504 + m**8/120 - m**7/84 + m**6/180 - m**3/3 + 2*m. Let k(l) be the second derivative of c(l). Factor k(r).
-2*r**2*(r - 1)**2*(3*r - 1)
Let s(i) be the second derivative of -i**4/4 - i**3/2 + 3*i. Find w, given that s(w) = 0.
-1, 0
Solve -2/3*g + 0 - 1/3*g**2 = 0 for g.
-2, 0
Let k(a) be the second derivative of 0*a**4 + 1/30*a**6 + 1/10*a**5 + 3*a - 1/2*a**2 - 1/3*a**3 + 0. Factor k(h).
(h - 1)*(h + 1)**3
Suppose 6*a - 1 = 11. Let w(c) be the second derivative of -13/60*c**6 - 2*c + 1/24*c**4 + 5/84*c**7 + 0 - 1/6*c**3 + 0*c**a + 9/40*c**5. Factor w(v).
v*(v - 1)**3*(5*v + 2)/2
Let 3*l - 3/2*l**2 - 3/2 = 0. Calculate l.
1
Let 2/7*f**2 + 4/7*f - 4/7*f**3 - 2/7*f**4 + 0 = 0. Calculate f.
-2, -1, 0, 1
Suppose 2*n = -2*n + 6*n. Let s(y) be the second derivative of 1/20*y**5 - 2*y + 1/4*y**4 + n*y**2 + 1/3*y**3 + 0. What is p in s(p) = 0?
-2, -1, 0
Suppose 3*n + 10 = -j, j = 3*n - 3 + 17. Let p be 1 + -3 + (n - -8). Let -1/3*t**4 + 4/3*t - 5/3*t**3 - 2*t**p + 8/3 = 0. What is t?
-2, 1
Let n(s) be the second derivative of 3*s**5/20 - 9*s**4/2 + 54*s**3 - 324*s**2 - 20*s. What is m in n(m) = 0?
6
Suppose 0 = -q - 3 - 1. Let n = 6 + q. Factor -2*x**2 + 1 + 3*x**2 - 2*x**n.
-(x - 1)*(x + 1)
Let y(b) be the third derivative of -b**8/26880 - b**7/1680 - b**6/320 + b**4/12 - 2*b**2. Let l(t) be the second derivative of y(t). Factor l(d).
-d*(d + 3)**2/4
Let i(q) be the second derivative of q**7/126 + q**6/30 + q**5/60 - q**4/12 - q**3/9 + 37*q. Factor i(y).
y*(y - 1)*(y + 1)**2*(y + 2)/3
Suppose -12*y = -7*y. Factor y*r**2 - 2 - r + 3 - r + r**2.
(r - 1)**2
Let b(a) be the first derivative of -2*a**3/21 - a**2/7 + 4*a/7 - 10. Find g, given that b(g) = 0.
-2, 1
Let g = -71 + 74. Let o(v) be the first derivative of 1/3*v**6 + 0*v**g + 0*v + 3 - 1/2*v**4 + 0*v**5 + 0*v**2. Determine w, given that o(w) = 0.
-1, 0, 1
Let 3 + x**2 + x**3 - 7*x**2 + x**3 + 3*x**4 - 12*x**5 + 22*x**3 - 12*x = 0. Calculate x.
-1, 1/4, 1
Let q(u) be the first derivative of u**6/18 + u**5/3 + 5*u**4/6 + 10*u**3/9 + 5*u**2/6 + u/3 - 41. Solve q(a) = 0.
-1
Let g be (7/2 - 4) + 12/16. Factor 1/4*a**2 - 3/4*a**3 + 0*a + 3/4*a**4 - g*a**5 + 0.
-a**2*(a - 1)**3/4
Suppose n + 4*k - 3 = 7, 0 = -2*n + 2*k. Let z(u) = u - 1. Let y be z(3). Determine w, given that -3*w + n*w**y + 0*w**2 + w = 0.
0, 1
Let l = 137/1225 + 2/245. Let c(p) be the first derivative of 0*p**4 - l*p**5 + 3/5*p**2 + 3/5*p**3 + 0*p - 3. Factor c(r).
-3*r*(r - 2)*(r + 1)**2/5
Let p be (-14)/91 - (-100)/(-26). Let j = 8 + p. Factor -1/2*m - 1/2 - 1/2*m**j + m**2 + m**3 - 1/2*m**5.
-(m - 1)**2*(m + 1)**3/2
Let j(m) = -m - 3. Let a be j(0). Let f = a - -7. Solve 6*n**f - n - 8*n**3 + 8*n**5 + 0*n**4 + n**5 - 6*n**2 = 0.
-1, -1/3, 0, 1
Let f(u) be the second derivative of -u**8/26880 - u**7/10080 - u**4/2 + 3*u. Let o(m) be the third derivative of f(m). Suppose o(a) = 0. Calculate a.
-1, 0
Let s(o) be the third derivative of 3*o**8/112 - 5*o**7/56 + 13*o**6/160 + o**5/80 - o**4/32 - 4*o**2. Find t, given that s(t) = 0.
-1/4, 0, 1/3, 1
Suppose a + 0*a - 5*w - 15 = 0, -a - 3*w = 9. Solve -1/2*v**4 + v**3 - 1/2*v**2 + a*v + 0 = 0 for v.
0, 1
Let c = -454 + 4090/9. Solve -2/9 - c*v - 2/9*v**2 = 0.
-1
Let i(f) be the third derivative of f**5/120 + f**4/24 + f**3/12 - 53*f**2. Determine m, given that i(m) = 0.
-1
Let i be -1*0*(-2 - (-5)/2). Suppose 5*r - 3*r = 6. What is p in -2/9*p**r + 4/9*p**2 + i - 2/9*p = 0?
0, 1
Let s be 5 + (-9 - -4 - 0). Let z(k) be the second derivative of s*k**3 - 2*k + 1/40*k**6 - 1/8*k**4 - 3/80*k**5 + 0 + 0*k**2. Factor z(l).
3*l**2*(l - 2)*(l + 1)/4
Find c such that -1/3 + 2/3*c - 1/3*c**2 = 0.
1
Let r(t) be the third derivative of 0 - 1/90*t**5 + 0*t + 6*t**2 + 0*t**3 - 1/18*t**4. Factor r(h).
-2*h*(h + 2)/3
Suppose 5*z + 27 = -3*s - 25, -4*z - 20 = 0. Let n be 1/(12/s) + 1. Find c such that 0*c - n*c**2 + 0 = 0.
0
Let z be ((-2)/24)/(28/(-84)). Suppose 0 - 1/2*g**3 - z*g**2 + 0*g = 0. Calculate g.
-1/2, 0
Factor 2*b**3 - 4 + 4 - 9*b**4 - 12*b**5 + b**3.
-3*b**3*(b + 1)*(4*b - 1)
Let q = -358 - -1082/3. Factor -6 - 8*j - q*j**2.
-2*(2*j + 3)**2/3
Let p = 5 + -2. Suppose 0*i - 2/3*i**4 + 7/3*i**5 - 7/3*i**p + 2/3*i**2 + 0 = 0. What is i?
-1, 0, 2/7, 1
Let v(r) be the third derivative of 1/66*r**4 + 5*r**2 + 0*r + 0*r**3 + 1/660*r**6 + 0 + 1/110*r**5. Factor v(s).
2*s*(s + 1)*(s + 2)/11
Suppose 19 = 3*b - y, 2*b + 5*y - 21 = 4*y. Let d = 8 - b. Let -3/4*q**2 - 1/4*q + q**3 + d = 0. What is q?
-1/4, 0, 1
What is j in -2/7*j**2 - 72/7 + 24/7*j = 0?
6
Let h(w) be the second derivative of 0*w**3 + 1/10*w**5 - w + 1/6*w**4 - 1/15*w**6 + 0 - 1/21*w**7 + 0*w**2. Factor h(q).
-2*q**2*(q - 1)*(q + 1)**2
Let u be 1 - 4/8 - 0. Let k be (1 + 2)/(-3) + 5. What is f in -u*f**2 + 0 + 1/2*f + 1/2*f**k - 1/2*f**3 = 0?
-1, 0, 1
Let d(n) be the second derivative of -n**5/90 - n**4/27 - n**3/27 + 2*n. Determine z, given that d(z) = 0.
-1, 0
Let o(d) be the third derivative of 0 + 1/180*d**6 + 0*d**7 + 0*d**5 - 1/504*d**8 + 0*d**3 + 0*d**4 + 0*d + 4*d**2. Factor o(t).
-2*t**3*(t - 1)*(t + 1)/3
Let u(l) = -l**3 - l + 1. Let h(r) = 4*r**4 - 2*r**3 - 9*r**2 - r - 1. Let x(s) = -5*h(s) - 5*u(s). Factor x(f).
-5*f*(f - 2)*(f + 1)*(4*f + 1)
Let l = 308 + -922/3. Factor -2/3 + 7/3*d**3 + 2*d**2 + l*d**4 - 1/3*d.
(d + 1)**2*(d + 2)*(2*d - 1)/3
Let a(x) = 2*x - 8. Let s be a(5). Factor -39*m**2 + 8*m - 17*m**s + 98*m**3 - 30 + 30.
2*m*(7*m - 2)**2
What is o in 10/9*o - 2/9*o**4 - 2/9*o**3 + 4/9 + 2/3*o**2 = 0?
-1, 2
Suppose -2*r + 2 = -4. Factor -2 + z**2 + 6*z**2 + 0 - 2*z**r - 2*z**2 - z.
-(z - 2)*(z - 1)*(2*z + 1)
Let i(d) be the third derivative of d**5/45 - d**4/6 + 4*d**3/9 + 4*d**2 + 3*d. Factor i(c).
4*(c - 2)*(c - 1)/3
Suppose -3*g - 5 = 25. Let b be 2/(-5) - 34/g. Determine q, given that -2*q**2 - q + b*q + q**2 + 2 - 3*q = 0.
-2, 1
Let s(w) be the first derivative of w**2 + 1/5*w**5 - 1/2*w**4 + 4 - w + 0*w**3. Solve s(i) = 0.
-1, 1
Let p(d) be the second derivative of -d**9/7560 - d**8/3360 + d**7/1260 + d**6/360 - d**4/6 + 3*d. Let o(q) be the third derivative of p(q). Factor o(c).
-2*c*(c - 1)*(c + 1)**2
Suppose 0 = y + 2*y - 12. Suppose -6*x + 27 = z - x, 5*x = -3*z + 31. Factor 2 + 4*d**5 - d**2 + y*d**3 + 5*d**z - 6*d**4 - 2*d**5 - 6*d.
2*(d - 1)**4*(d + 1)
Let g(t) be the first derivative of 0*t**4 + 1/8*t**3 + 9 + 1/8*t**2 + 0*t - 1/40*t**5. Let g(q) = 0. What is q?
-1, 0, 2
Suppose 3*p + 4*x - 19 = 0, -2*p - x = -6*x - 5. Factor -2*y**p - 4*y**3 + 0*y**5 - 2*y**2 + 2*y**4 + 6*y**3.
-2*y**2*(y - 1)**2*(y + 1)
Let o(u) be the first derivative of 6*u**5/25 - u**4/5 - 2*u**3/15 - 6. Factor o(t).
2*t**2*(t - 1)*(3*t + 1)/5
Let f = 34 + -31. Let v(h) be the second derivative of -1/42*h**4 + 1/105*h**6 - 1/21*h**f + 0*h**2