*u. Factor -2*q**3 + 2*q - q + u*q**3 + q**3.
-q*(q - 1)*(q + 1)
Let r = 122/5 - 118/5. Let t(q) be the first derivative of -r*q + 2/15*q**3 + 1/5*q**2 + 2. Factor t(w).
2*(w - 1)*(w + 2)/5
Let h(v) be the third derivative of v**8/112 - 3*v**7/70 + v**6/20 + v**5/10 - 3*v**4/8 + v**3/2 + 4*v**2. Determine y, given that h(y) = 0.
-1, 1
Solve -7*x**3 - 62*x**2 + 4*x**5 + 34*x**2 + 5*x**4 + 26*x**2 = 0.
-2, -1/4, 0, 1
Let w = 3/8 + 1/8. Let p be (-10)/4 + (-60)/(-20). Let -p*q - w + q**2 = 0. Calculate q.
-1/2, 1
Let l be (-3)/(-15)*(-3 + 111/27). What is o in 2/3*o + l + 2/3*o**2 + 2/9*o**3 = 0?
-1
Factor 39*v**2 - v - 38*v**2 + v.
v**2
Let 1/4*l + 3/4*l**3 + 3/4*l**2 + 0 + 1/4*l**4 = 0. Calculate l.
-1, 0
Let k(h) = 2*h**2 - h - 1. Let x be k(-1). Factor 3*t**2 + 5*t**x - 5*t**2 - 4*t**2.
-t**2
Let c = 1/53 - 37/4770. Let m(q) be the second derivative of q - 1/27*q**4 + 1/27*q**3 + 0 + c*q**5 + 0*q**2. Suppose m(j) = 0. What is j?
0, 1
Let m be 2/(-1 + -1)*0. Let u = m + 2. Find c such that 2*c**2 + c**4 - 2*c**u - 3*c**4 + 2*c**3 = 0.
0, 1
Let y - 1/4*y**2 + 3 = 0. What is y?
-2, 6
Let b(p) be the first derivative of -p**3 - 6*p**2 - 12*p + 5. Factor b(z).
-3*(z + 2)**2
Factor -3/4*f - 9/8*f**3 + 15/8*f**2 + 0.
-3*f*(f - 1)*(3*f - 2)/8
Suppose 5*p + 16 = -2*c, -p = -3*p - 8. Suppose -c*h - 2*h = -12. What is m in -2*m**2 + 2*m + 4*m**2 + 6*m**5 + 4*m**4 - 8*m**h - 6*m**2 = 0?
-1, 0, 1/3, 1
Suppose 0 = 2*s - 7*s + 10. Factor -1/3*n**s + 0 + 0*n.
-n**2/3
Let n(d) be the third derivative of d**6/240 + d**5/40 - d**3/3 - 13*d**2. Let n(f) = 0. Calculate f.
-2, 1
Suppose 1 - 7 = 2*l. Let q(b) = 12*b**4 - 3*b**3 - 5. Let d(n) = -6*n**4 + n**3 + 3. Let h(u) = l*q(u) - 5*d(u). Factor h(t).
-2*t**3*(3*t - 2)
Let z = 16 + -14. Let d(l) be the third derivative of 0*l + 2*l**z - 13/735*l**7 + 1/84*l**4 + 1/294*l**8 + 1/28*l**6 + 0*l**3 + 0 - 1/30*l**5. Factor d(i).
2*i*(i - 1)**3*(4*i - 1)/7
Suppose -3*g - 2*g + 15 = 0. Suppose 18*q + 86*q + 327*q**2 + 12 - 8*q + 12*q + 147*q**4 + 378*q**g = 0. Calculate q.
-1, -2/7
Let f be (-60)/(-42)*14/16*2. What is h in 1 - 7/2*h**2 - f*h = 0?
-1, 2/7
Let b(s) be the first derivative of -1/4*s**2 + 1/4*s + 1/12*s**3 - 2. Factor b(i).
(i - 1)**2/4
Let h(w) = 6*w - 9. Let u(z) = -z**2 + z - 1. Let l(f) = -h(f) + 3*u(f). Let l(k) = 0. Calculate k.
-2, 1
Let x(y) be the third derivative of -5*y**2 + 0 + 0*y + 7/108*y**4 - 4/945*y**7 - 1/18*y**5 - 1/27*y**3 + 13/540*y**6. Determine q so that x(q) = 0.
1/4, 1
Factor 0 - 1/4*a**5 + 3/4*a**4 - 3/4*a**3 + 1/4*a**2 + 0*a.
-a**2*(a - 1)**3/4
Let d(w) be the second derivative of -3/4*w**4 - 1/30*w**6 + 0*w**2 - 3/10*w**5 - 6*w + 0*w**3 + 0. Suppose d(t) = 0. Calculate t.
-3, 0
Let i be 1*((-12)/9)/(-4). Let u = -33 - -33. Factor u - i*n**2 + 0*n.
-n**2/3
Let t(g) = -15*g**2 - 13*g + 21. Let q(r) = -7*r**2 - 6*r + 10. Let d(k) = 13*q(k) - 6*t(k). Factor d(n).
-(n - 2)*(n + 2)
Let i = -112 - -227/2. Factor -1/2*c**3 + 5/2*c - 1/2*c**2 - i.
-(c - 1)**2*(c + 3)/2
Suppose -3*p = -6, -5*k = -k - 2*p - 8. Let n(s) be the first derivative of 1/12*s**k + 3/8*s**2 + 1/2*s + 2. Suppose n(d) = 0. Calculate d.
-2, -1
Let m(y) = -2*y + 14. Let g be m(8). Let j(d) = -d**3 + d**2 - 2*d - 2. Let l(f) = 3*f**3 - 3*f**2 + 5*f + 5. Let o(t) = g*l(t) - 5*j(t). Factor o(w).
-w**2*(w - 1)
Let i(c) be the first derivative of 4*c**5/45 + 2*c**4/9 - 16*c**3/27 - 16*c**2/9 - 17. Find u such that i(u) = 0.
-2, 0, 2
Let z = -1 + 4. Suppose -2*n - 2 = -z*n. Let -u**3 + 3/2*u**2 - 3/4*u**5 - n*u**4 + 7/4*u + 1/2 = 0. Calculate u.
-1, -2/3, 1
Let o(y) = -2*y**2 + 3*y + 2. Suppose -4*d = -2*z + 24, d - 18 = -4*z - d. Let t = z - 3. Let x(u) = u**2 - u - 1. Let i(j) = t*x(j) + o(j). Factor i(g).
(g - 1)*(g + 1)
Suppose 3*c + 4*t = 33, -3*t - 2 + 4 = -c. Suppose -b**2 - 7*b + c*b = 0. Calculate b.
0
Let q(w) be the third derivative of 0 + 1/60*w**5 + 0*w + 1/6*w**4 - 1/6*w**3 - w**2 - 1/30*w**6. Factor q(g).
-(g - 1)*(g + 1)*(4*g - 1)
Let h(c) be the third derivative of -4*c**7/945 - c**6/108 + c**5/135 + c**4/36 + 5*c**2. Factor h(p).
-2*p*(p + 1)**2*(4*p - 3)/9
Let h be (8/(-14))/((-180)/70). Determine d so that h*d**3 - 2/3*d + 0*d**2 - 4/9 = 0.
-1, 2
Let h(m) be the third derivative of -2*m**2 + 1/8*m**4 - 1/40*m**5 + 0*m + 0 - 1/3*m**3 + 1/480*m**6. Solve h(u) = 0 for u.
2
Let k(v) = v - 9. Let f be k(11). Suppose 5*a + 2*j = 13, 3 = -a + f*j - 4. Determine y, given that -9/2*y - 2*y**2 - a = 0.
-2, -1/4
Let d(m) = m + 9. Suppose 2*h - 35 = 7*h. Let r be d(h). Factor j**4 - 4*j**2 + 5*j**2 + 0*j**3 + r*j**3 + 0*j**2.
j**2*(j + 1)**2
Find s, given that -3*s**3 + 3/2*s**2 + 3*s - 3/2*s**4 + 0 = 0.
-2, -1, 0, 1
Let n(j) be the second derivative of -j**7/273 - j**6/195 + j**5/130 + j**4/78 - 30*j. Factor n(b).
-2*b**2*(b - 1)*(b + 1)**2/13
Let a(c) = 2*c**5 + 4*c**4 + 4*c**3 + 2*c**2 + 6*c. Let p(u) = 6*u**5 + 11*u**4 + 11*u**3 + 6*u**2 + 17*u. Let d(i) = -17*a(i) + 6*p(i). Factor d(j).
2*j**2*(j - 1)**2*(j + 1)
Let j(k) = -2*k**2 + 2*k. Let c(u) = -u. Let w be -1 - (0 - -2) - -2. Let o(z) = z - 2. Let g be o(-2). Let f(a) = g*c(a) + w*j(a). Factor f(q).
2*q*(q + 1)
Let h(d) be the third derivative of -d**7/70 + 3*d**6/40 - d**5/20 - 3*d**4/8 + d**3 + 5*d**2. Suppose h(w) = 0. What is w?
-1, 1, 2
Suppose -3*q = -18 + 3, 0 = 5*x - 4*q + 5. Factor -14*v**3 + v**4 - 9*v**3 - v - v**2 + 24*v**x.
v*(v - 1)*(v + 1)**2
Let g(r) be the first derivative of 1/9*r**3 + 4 + 0*r**2 + 0*r. What is v in g(v) = 0?
0
Let r(o) = o + 1. Let p(m) = 6*m**4 - 10*m**3 + 2*m**2 + 12*m + 10. Let y(a) = 2*p(a) - 20*r(a). Factor y(g).
4*g*(g - 1)**2*(3*g + 1)
Let m(c) be the first derivative of 5*c**4/16 + 35*c**3/12 + 10*c**2 + 15*c - 3. Suppose m(t) = 0. Calculate t.
-3, -2
Let g = -3310 - -794401/240. Let q(b) be the third derivative of 0 + 0*b**3 + 0*b**5 + g*b**6 + 0*b**4 - 2*b**2 + 1/420*b**7 + 0*b. Find m, given that q(m) = 0.
-1, 0
Let c = 6 + -1. Find u such that -3*u**2 + 10*u + c*u + 3 + 12*u**3 + 12*u**2 + 15*u**2 = 0.
-1, -1/2
Let c(u) be the first derivative of u**6/12 - u**5/5 + u**3/3 - u**2/4 - 1. Find w, given that c(w) = 0.
-1, 0, 1
Let u(l) be the second derivative of l**6/20 - 2*l**5/15 + l**4/12 + l**2/2 - l. Let w(j) be the first derivative of u(j). Factor w(t).
2*t*(t - 1)*(3*t - 1)
Factor 0 + 15/4*k**4 + 0*k - 1/2*k**2 - 1/4*k**3.
k**2*(3*k + 1)*(5*k - 2)/4
Let q = 16 + -13. Suppose 4*j - 2 = q*j. Suppose 0*c**j + 0 + 0*c + 1/5*c**3 = 0. What is c?
0
Suppose 5*b = 107 + 28. Let t = b - 15. Factor t*f - 6*f**2 + 0*f**2 - 8 + 2*f**3 - f**3.
(f - 2)**3
What is r in -15 + r + 4*r - 8*r - 15*r - 3*r**2 = 0?
-5, -1
Let k(z) be the first derivative of -39/4*z**3 - 1 - z - 5*z**2 - 81/16*z**4. Factor k(g).
-(g + 1)*(9*g + 2)**2/4
Let x = -4 - -8. Let b(y) be the second derivative of -y - 1/2*y**2 + 0 + 0*y**3 + 1/12*y**x. Let b(s) = 0. What is s?
-1, 1
Let t(s) be the third derivative of s**7/168 + s**6/80 - s**5/20 + s**4/8 + 4*s**2. Let b(j) be the second derivative of t(j). Let b(q) = 0. Calculate q.
-1, 2/5
Let w(y) be the third derivative of 81*y**8/112 + 81*y**7/35 - 9*y**6/5 - 36*y**5/5 + 2*y**4 + 16*y**3 + 6*y**2. Determine a, given that w(a) = 0.
-2, -2/3, 2/3
Let 0 - 1/3*z**2 + 1/3*z**4 - 2/3*z + z**3 - 1/3*z**5 = 0. Calculate z.
-1, 0, 1, 2
Let q = 88 + -84. Let r(v) be the third derivative of 0*v + 0*v**3 - 1/36*v**q + 3*v**2 + 0 + 1/45*v**6 + 1/30*v**5. Factor r(n).
2*n*(n + 1)*(4*n - 1)/3
Let d be 245/77 + (-2)/11. Let x be ((-3)/6)/(d/(-12)). Suppose -38*g**4 + g - x*g**2 - 30*g**3 + 3*g - 13*g**5 - g**5 = 0. What is g?
-1, 0, 2/7
Let z(h) = -h**2 - h + 5. Let i be z(-4). Let b = i - -9. Factor 3/4*d**3 + 0 + 1/4*d**4 + 1/4*d + 3/4*d**b.
d*(d + 1)**3/4
Suppose 3 = -f + 2*f, -5*w + 17 = -f. Factor -3*b**w - 2*b + 2*b - 9*b**2 - 6*b**2 - 6*b - 12*b**3.
-3*b*(b + 1)**2*(b + 2)
Factor a**3 - 42*a**2 + 3*a**3 + 46*a**2 - 4*a - 4.
4*(a - 1)*(a + 1)**2
Let z be -1*(-11 + 4) - 3. Let k(n) be the third derivative of 0 + n**2 + 1/120*n**5 + 0*n**3 + 0*n + 0*n**z. Factor k(c).
c**2/2
Factor 5*k**3 - 42*k**2 + 51*k**2 - 24*k**2.
5*k**2*(k - 3)
Suppose -s + 3*s = 0. Suppose 3*d - d - 8 = s. Factor 2*i - 5*i - 2*i**2 + d + i.
-2*(i - 1)*(i + 2)
Suppose -2*y + 6 = 2. Let s = 7/4 + -41/28. Determine d, given that s*d*