 0*p + 15/4*p**3 + 3 + 45/4*p**4.
-3*(p - 1)**3*(3*p + 2)**2/4
Let p(r) be the first derivative of 2*r**5/15 + r**4/2 + 2*r**3/9 - r**2 - 4*r/3 + 1. Factor p(l).
2*(l - 1)*(l + 1)**2*(l + 2)/3
Let l(w) = -5*w + 3 + 2 + 0*w + w**3 - 4*w**2. Let y be l(5). Let -2/7*p**y + 0*p**4 + 0*p**2 + 4/7*p**3 + 0 - 2/7*p = 0. Calculate p.
-1, 0, 1
Suppose 5*j + 3 = 3*i + 44, -2*j = 2*i - 26. Let z be 13/j + (-2)/(-10). Let 3/2*a**4 - 3/2*a**2 - z*a**3 + 3/2*a + 0 = 0. What is a?
-1, 0, 1
Let u = -15 - -13. Let t(h) = 6*h**5 + 8*h**4 - 4*h**3 + 2*h**2 + 6*h - 6. Let o(q) = -q**3 - q**2 - q + 1. Let v(m) = u*t(m) - 12*o(m). Solve v(f) = 0 for f.
-2, -1/3, 0, 1
Let t be 6*1 + (-32 - -28). Factor 2/7*p**t - 2/7 + 0*p.
2*(p - 1)*(p + 1)/7
Factor 4/3*o**2 + 0 + 0*o - 1/3*o**3.
-o**2*(o - 4)/3
Let q = 0 - -2. Solve -h**3 - h + 2*h**q - 22 + 22 = 0.
0, 1
Let p(j) = -j**3 - 2*j**2 - j + 1. Let d be p(-2). Factor -3*m + 6 - d*m**2 + 0*m + 6*m + 0*m.
-3*(m - 2)*(m + 1)
Let g(q) = q**2 + q + 1. Let z(p) = 2*p**2 - 5*p. Let w(m) = -3*g(m) - 3*z(m). What is a in w(a) = 0?
1/3, 1
Let q be -73*5/(-28) - -3. Let n = q + -63/4. Factor 2/7*y**2 + 2/7*y**3 - n - 2/7*y.
2*(y - 1)*(y + 1)**2/7
Factor 0 + 3/5*y**4 - 1/5*y + y**2 - 7/5*y**3.
y*(y - 1)**2*(3*y - 1)/5
Let r be (-8)/20*(-30)/402. Let d = 554/603 - r. What is x in -d*x**2 - 2/9*x - 2/9*x**5 + 0 - 8/9*x**4 - 4/3*x**3 = 0?
-1, 0
Let y(t) be the third derivative of t**5/270 + 5*t**4/108 + 2*t**2 - 24. Factor y(o).
2*o*(o + 5)/9
Determine q, given that 12*q - 3*q**2 - 12*q - 48 - 24*q = 0.
-4
Let y(g) be the first derivative of -g**6/48 + g**5/40 + 3*g**4/32 - g**3/24 - g**2/8 - 8. Find f, given that y(f) = 0.
-1, 0, 1, 2
Let m be (-7 + 26/4)*2/(-3). Let h(i) be the first derivative of -i + 1/2*i**2 + 1 - 1/4*i**4 + m*i**3. Factor h(s).
-(s - 1)**2*(s + 1)
Let c be 14/2100 - (0 + 0). Let f(m) be the third derivative of 0 - 1/300*m**6 - 4*m**2 + c*m**5 + 0*m + 0*m**4 + 0*m**3 - 2/525*m**7. Factor f(v).
-2*v**2*(v + 1)*(2*v - 1)/5
Let o(r) be the third derivative of r**6/360 - r**4/72 + 2*r**2. Suppose o(w) = 0. What is w?
-1, 0, 1
Let t(k) be the first derivative of 1/21*k**6 - 4 + 0*k**3 + 0*k - 8/35*k**5 + 0*k**2 + 2/7*k**4. Determine x so that t(x) = 0.
0, 2
Let s = -1 - -2. Suppose 1 = h - 2*k + 3, -2*h + 3 = 3*k. Factor -b - s - b**2 + h - b.
-(b + 1)**2
Let k = 20 - 16. Suppose r = -k*r. Factor 3/4*y**2 - 1/4*y + r.
y*(3*y - 1)/4
Let n(q) be the first derivative of -2 + 11/14*q**2 - 1/7*q**4 - 3/7*q - 8/21*q**3. Factor n(y).
-(y + 3)*(2*y - 1)**2/7
Let s(v) be the first derivative of -3*v**4/4 + 3*v**3/2 - 3*v/2 - 1. Factor s(a).
-3*(a - 1)**2*(2*a + 1)/2
Determine j so that -4 - 2/3*j**4 - 14/3*j + 2*j**3 + 2*j**2 = 0.
-1, 2, 3
Let u(x) be the first derivative of -1/12*x**3 + 3 + 1/2*x**4 + 0*x**2 - 4/5*x**5 + 0*x. Find z such that u(z) = 0.
0, 1/4
Let s(k) be the third derivative of k**6/600 - k**5/75 - k**4/40 + 3*k**3/5 - 28*k**2. Factor s(m).
(m - 3)**2*(m + 2)/5
Let c(d) be the first derivative of d**6/6 - 11*d**5/20 + 9*d**4/16 - d**3/12 - d**2/8 + 13. Factor c(y).
y*(y - 1)**3*(4*y + 1)/4
Factor 8 + 8*g**3 + 2*g**3 - 8*g - 38*g**2 + 38*g + 2*g.
2*(g - 2)**2*(5*g + 1)
Suppose 3*z - 2 = 3*k - 11, 3*k = -4*z + 16. Find y, given that 1/2*y**3 - 2 + k*y - 5/2*y**2 = 0.
1, 2
Factor 5*g - 15*g**2 + g**2 - 5*g**5 + 10*g**4 + 4*g**2.
-5*g*(g - 1)**3*(g + 1)
Factor 3*p**2 - 3*p**3 + 11*p**2 + p**2 - 3*p**2 - 12*p.
-3*p*(p - 2)**2
Let k = 77 + -74. Let m(a) be the third derivative of 1/672*a**8 + 0*a**4 + 0*a**6 + 0*a**5 - a**2 + 0*a**k + 0 - 1/420*a**7 + 0*a. What is q in m(q) = 0?
0, 1
Suppose -2*p + 2*u = -48 - 6, -4*p + 109 = -3*u. Let j be ((-10)/35)/((-12)/p). Factor 2*g - 4/3*g**2 - j.
-2*(g - 1)*(2*g - 1)/3
Let -3/8*v**2 + 3/8*v + 3/4 = 0. Calculate v.
-1, 2
Let a(b) be the second derivative of b**4/28 - 3*b**3/7 + 27*b**2/14 - 8*b. Factor a(h).
3*(h - 3)**2/7
Let -1/2 + 1/2*d - 1/2*d**3 + 1/2*d**2 = 0. What is d?
-1, 1
Let m(z) = -3*z**2 + 2*z. Let i(q) = 3*q**2 - 3*q. Let l(v) = 4*i(v) + 3*m(v). Suppose l(h) = 0. Calculate h.
0, 2
Suppose 6*x = -3 + 15. Let i = -29/2 - -15. Find w, given that -3/2*w - 1/2*w**3 - 3/2*w**x - i = 0.
-1
Let z(q) be the third derivative of q**9/30240 + q**8/10080 + q**5/12 - 2*q**2. Let u(k) be the third derivative of z(k). Determine b, given that u(b) = 0.
-1, 0
Let y(h) be the second derivative of -h**8/840 - h**7/840 + h**6/240 + h**5/96 + h**4/96 + h**3 - 4*h. Let b(o) be the second derivative of y(o). Factor b(c).
-(c - 1)*(2*c + 1)**3/4
Let o = -89/2 - -45. Find a such that 1/2*a**2 + o - a = 0.
1
Let d be (9/24)/(17/204). Find c, given that 3/4*c**4 + 3*c**3 + 3/4 + d*c**2 + 3*c = 0.
-1
Let v(g) be the first derivative of -2*g**5/55 + g**4/22 + 4*g**3/33 - 3. Factor v(i).
-2*i**2*(i - 2)*(i + 1)/11
Suppose -z = 0, 0*d - 5*d = z - 10. Find m such that -20 + 3*m**4 + d*m - 2*m**3 - 6*m**2 + 24 - m**4 + 0*m = 0.
-1, 1, 2
Let i(u) be the third derivative of -1/15*u**6 - 8*u**2 + 0*u + 1/3*u**3 + 0 + 1/105*u**7 - 1/3*u**4 + 1/5*u**5. Determine g so that i(g) = 0.
1
Suppose -s + 2*t - 1 - 1 = 0, 4*t = 5*s - 8. Let w(b) = 2*b - 6. Let g be w(s). Suppose -g + 0 + 3*o - 2*o**2 + o = 0. Calculate o.
1
Let p = 22/43 + -1/86. Factor 0*x - x**2 + 1/2*x**4 + 0 + p*x**3.
x**2*(x - 1)*(x + 2)/2
Solve -h**3 - 29 + 23 - 18*h**3 + 19*h - 7*h**4 + 13*h**2 = 0.
-3, -1, 2/7, 1
Let q(r) = -r**5 + 3*r**4 + r**3 + 3*r**2 + 3. Let c(j) = 2*j**5 - 5*j**4 - 2*j**3 - 5*j**2 - 5. Let b(l) = 3*c(l) + 5*q(l). Factor b(k).
k**3*(k - 1)*(k + 1)
Let r(q) = 67*q - 132. Let p be r(2). Factor 3*h**2 + 1/3 + p*h + 4/3*h**3.
(h + 1)**2*(4*h + 1)/3
Let w(p) be the first derivative of -25*p**4/8 - 15*p**3/2 - 27*p**2/4 + 4*p - 4. Let y(i) be the first derivative of w(i). Factor y(m).
-3*(5*m + 3)**2/2
Factor -87*y + 18*y**2 - 11*y + 14*y + 98.
2*(3*y - 7)**2
Find h such that -2/7*h + 0 + 12/7*h**3 + 0*h**2 + 6/7*h**5 + 16/7*h**4 = 0.
-1, 0, 1/3
Determine k so that 0 - 3/4*k**2 + 3/8*k**3 + 3/8*k = 0.
0, 1
Suppose -5*p - 18 = 27. Let k be (-2)/(-9) + (-4)/p. Factor -k*u**2 - 2/3 + 4/3*u.
-2*(u - 1)**2/3
What is f in -2 + 3*f**2 + 3*f + 3*f - 5*f**2 - 10*f = 0?
-1
Determine a so that -7*a + a**3 + 278 + 3*a**3 - 5*a - 286 = 0.
-1, 2
Let h(z) be the third derivative of z**6/840 - z**5/140 + 5*z**3/6 + 4*z**2. Let l(f) be the first derivative of h(f). Factor l(a).
3*a*(a - 2)/7
Let f(w) be the second derivative of -1/30*w**5 + w + 0*w**4 + 1/9*w**3 + 1/6*w**2 - 1/90*w**6 + 0. Factor f(q).
-(q - 1)*(q + 1)**3/3
Solve -8/3*m + 8/9 + 2/9*m**4 + 26/9*m**2 - 4/3*m**3 = 0 for m.
1, 2
Factor 5*t**2 + 11*t**3 + 0*t**4 + 4*t**2 - 5*t**3 - 12 - 3*t**4 - 12*t.
-3*(t - 2)**2*(t + 1)**2
Suppose -4*g + 2*g - 2 = 0. Let u(s) = 7*s - 37 - 8*s + 38. Let w(i) = -3*i**2 - 3*i + 6. Let c(f) = g*w(f) + 9*u(f). Factor c(a).
3*(a - 1)**2
Let m(b) = -2*b**2 - 2*b - 4. Let t(p) = 3*p**2 + 4*p + 8. Let u(d) = 7*m(d) + 4*t(d). Factor u(r).
-2*(r - 2)*(r + 1)
Factor 0 + 0*z - 1/3*z**3 - 1/6*z**2 - 1/6*z**4.
-z**2*(z + 1)**2/6
Let j(g) be the third derivative of g**7/105 + g**6/60 + 8*g**2. Factor j(s).
2*s**3*(s + 1)
Let w(r) be the first derivative of 2*r**7/105 - r**6/45 - 7*r**5/120 - r**4/24 - 4*r**3/3 - 1. Let c(x) be the third derivative of w(x). Factor c(g).
(g - 1)*(4*g + 1)**2
Let a = -512 - -1025/2. Factor 1/2*d - 1/2*d**3 + a*d**2 - 1/2*d**4 + 0.
-d*(d - 1)*(d + 1)**2/2
Suppose 4*h = -3*c + 54, -2*c = 2*h - 5*c - 36. Suppose 8*x - h = 3*x. Factor 1/5 - 2/5*y**2 + 0*y + 0*y**x + 1/5*y**4.
(y - 1)**2*(y + 1)**2/5
Let t be 4/(-3*(-1)/3 + 1). Factor 0*j + j**3 + 0 + 1/3*j**t + j**4 + 1/3*j**5.
j**2*(j + 1)**3/3
Let 4/15*z + 2/3*z**2 + 8/15*z**3 + 0 + 2/15*z**4 = 0. Calculate z.
-2, -1, 0
Let l(s) be the third derivative of 0*s**4 - 1/63*s**7 + 1/60*s**6 + 0 + 1/45*s**5 + s**2 + 0*s + 0*s**3. Factor l(t).
-2*t**2*(t - 1)*(5*t + 2)/3
Let n = -20 + 61/3. Factor n*h**4 + 1/6*h**5 + 0*h**2 + 0*h + 0 + 1/6*h**3.
h**3*(h + 1)**2/6
Let l(a) be the first derivative of -2*a**5/55 + 3*a**4/22 + 2*a**3/11 - a**2 + 12*a/11 + 20. Suppose l(s) = 0. What is s?
-2, 1, 3
Let f(t) be the third derivative of 0*t**3 - 1/60*t**5 + 0*t - 1/12*t**4 + t**2 + 0. Solve f(o) = 0 for o.
-2, 0
Suppose -4 = -2*d + 4. Factor -2*a - 16*a**d + a**3 + a**3 - 2*a**2 + 1