(v + 1)/3
Let g(s) = s**2 - 3*s - 9. Let z(t) = 2*t**2 - 10*t - 26. Let m(a) = 14*g(a) - 5*z(a). Factor m(h).
4*(h + 1)**2
Let u(c) be the second derivative of c**9/52920 + c**8/23520 - c**7/4410 + c**4/6 + 2*c. Let a(d) be the third derivative of u(d). Factor a(o).
2*o**2*(o - 1)*(o + 2)/7
Let x be 0/(7 - (-48)/(-8)). Factor -2/5*k + x + 1/5*k**3 + 1/5*k**2.
k*(k - 1)*(k + 2)/5
Determine s so that 1 - 11 - 3*s**2 + 9*s + 10 = 0.
0, 3
Let o = -102 - -102. Let x(h) be the first derivative of o*h**2 + 4 + 1/12*h**6 + 0*h**5 - 1/8*h**4 + 0*h**3 + 0*h. Determine q so that x(q) = 0.
-1, 0, 1
Let g(b) be the first derivative of -1 + 0*b - 2/15*b**3 - 1/5*b**2. Factor g(p).
-2*p*(p + 1)/5
Let c be ((-16)/28)/(8/(-28)). Suppose 6 + v**2 + 0*v + c*v**2 + 9*v = 0. What is v?
-2, -1
Factor d**2 + 5*d + 2*d**2 - d - d**2.
2*d*(d + 2)
Let f(z) = z**2 + 4*z. Let r be f(-7). Let x = r + -12. Factor 4 + 28*p + 61*p**2 + 0 - 24*p**3 + x*p**4 + 66*p**3.
(p + 2)**2*(3*p + 1)**2
Let 370 - 370 + 10*j**4 + 16*j**3 - 8*j**2 = 0. Calculate j.
-2, 0, 2/5
Let l = -15 - -28. Solve -24*b**4 + 2*b**2 - 18*b**5 + 9*b**2 + 10*b**3 + 8*b + l*b**2 = 0.
-1, -2/3, 0, 1
Suppose 36*q - 5*q + 8*q - 4*q**2 - 3*q = 0. What is q?
0, 9
Suppose 0 = q + 4*w + 106, -q + 39 = -5*w + 109. Let z be (4/q)/(5/(-25)). Factor 4/9*b**3 + 0*b**2 + z*b**4 - 4/9*b - 2/9.
2*(b - 1)*(b + 1)**3/9
Let y = -5 - -7. Factor 2*f**2 + f**2 + f**3 + y*f**2 - 4*f**2.
f**2*(f + 1)
Let l(m) be the first derivative of 4*m**3 + 18*m**2 + 27*m + 11. Suppose l(a) = 0. Calculate a.
-3/2
Let w(t) be the second derivative of -3*t**5/20 + t**4/2 - t**3/2 - 7*t. Factor w(g).
-3*g*(g - 1)**2
Factor -g**3 - g**2 - 6*g**3 + 4*g**3 + 4*g**3.
g**2*(g - 1)
Let m(r) = -10*r**2 - 30*r - 20. Let f(q) = 5*q**2 + 15*q + 10. Let b(z) = 5*f(z) + 2*m(z). Factor b(y).
5*(y + 1)*(y + 2)
Let c(l) be the first derivative of 1/3*l**2 - 1/9*l**3 - 1/3*l + 1. Solve c(p) = 0.
1
Let o(s) be the first derivative of -1/30*s**6 - 3 - 1/25*s**5 + 1/15*s**3 + 0*s + 1/20*s**4 + 0*s**2. Find p such that o(p) = 0.
-1, 0, 1
Factor 9/2*c**3 + 1/2*c**5 + 0 + c - 7/2*c**2 - 5/2*c**4.
c*(c - 2)*(c - 1)**3/2
Let c be -1*1/(-2)*2. Let j be 1 - c - (2 + -5). Factor -2/5*q - 6/5*q**2 - 2/5*q**4 + 0 - 6/5*q**j.
-2*q*(q + 1)**3/5
Let t be (-2)/(-10) + 36/20. Factor 2*m**5 - 4*m**5 - 2*m**3 - 4*m**4 - 3*m**t + 3*m**2.
-2*m**3*(m + 1)**2
Let m(y) be the third derivative of y**5/210 - 5*y**4/84 + 4*y**3/21 + 12*y**2. Suppose m(o) = 0. What is o?
1, 4
Factor -8/9*x**2 + 10/9*x + 2/9*x**3 - 4/9.
2*(x - 2)*(x - 1)**2/9
Let s(b) be the third derivative of -b**8/26880 + b**7/10080 + b**6/2880 - b**5/480 - b**4/8 - 2*b**2. Let w(r) be the second derivative of s(r). Factor w(k).
-(k - 1)**2*(k + 1)/4
Factor -2 + 2*j - 1/2*j**2.
-(j - 2)**2/2
Let c(l) be the third derivative of -1/240*l**5 - 1/12*l**3 + 0*l + 2*l**2 + 1/32*l**4 + 0. Determine s, given that c(s) = 0.
1, 2
Let c be 1*6/(-2) - 1200/(-144). Factor -4/3*x**2 - 8/3*x + 2/3*x**3 + c.
2*(x - 2)**2*(x + 2)/3
Let z be 2/(-4) + (-7)/(-2). Let s = z + -1. Solve 0*l**3 + 0*l + 0 - 1/5*l**4 + 0*l**s - 1/5*l**5 = 0.
-1, 0
Suppose 0*m - 12 = -3*m. Let z(h) be the second derivative of 1/6*h**3 + 1/24*h**m + 0*h**2 - 2*h + 0. Factor z(p).
p*(p + 2)/2
Suppose 8 = -4*n, -3*w + w = n - 2. Let d(q) be the first derivative of w - 1/11*q**2 + 4/11*q - 2/33*q**3. Determine l, given that d(l) = 0.
-2, 1
Factor 1/6*c**2 + 0*c - 1/6.
(c - 1)*(c + 1)/6
Let s(t) be the first derivative of 20*t**5/3 + 110*t**4 + 3796*t**3/9 - 616*t**2 + 784*t/3 + 17. Factor s(x).
4*(x + 7)**2*(5*x - 2)**2/3
Let k(m) be the third derivative of -m**8/20160 - m**7/2520 - m**6/720 - m**5/360 + m**4/12 + 4*m**2. Let j(n) be the second derivative of k(n). Factor j(o).
-(o + 1)**3/3
Suppose -7*g = -6*g. Let k(m) be the first derivative of 0*m**2 - 4/9*m**6 - 1 + 8/15*m**5 + g*m**3 - 1/6*m**4 + 0*m. What is q in k(q) = 0?
0, 1/2
Let v = -2 + 4. Let i(n) be the first derivative of 1 + 1/3*n**v - 1/6*n**6 - 5/9*n**3 + 0*n + 1/3*n**5 + 1/12*n**4. Let i(q) = 0. What is q?
-1, 0, 2/3, 1
Let w = 287/1912 + -6/239. Factor 1/8*v + w*v**2 + 0.
v*(v + 1)/8
Let r(p) be the second derivative of -1/6*p**2 + 1/30*p**5 - 2*p + 0 - 5/36*p**4 + 2/9*p**3. Factor r(n).
(n - 1)**2*(2*n - 1)/3
Let x(i) = -i**2 - 9*i - 9. Let f be x(-9). Let v be (-3)/f + (-4)/48. Factor 0*d + 0 - 1/4*d**2 + v*d**4 + 0*d**3.
d**2*(d - 1)*(d + 1)/4
Let w(n) be the third derivative of -1/36*n**4 + 2/315*n**7 + 0*n**3 + 1/504*n**8 - 5*n**2 - 1/45*n**5 + 0*n**6 + 0 + 0*n. What is u in w(u) = 0?
-1, 0, 1
Let d(j) = 14*j**5 + 92*j**4 + 306*j**3 + 72*j**2 + 6*j. Let f(h) = -41*h**5 - 277*h**4 - 919*h**3 - 216*h**2 - 17*h. Let u(q) = -17*d(q) - 6*f(q). Factor u(l).
2*l**2*(l + 6)**2*(4*l + 1)
Find i such that -i + 3*i**4 + 7*i + 15*i**2 + 9*i**3 + 3*i**3 = 0.
-2, -1, 0
Let h(j) be the third derivative of j**6/540 - j**4/36 + j**3/6 - 3*j**2. Let o(n) be the first derivative of h(n). Determine c, given that o(c) = 0.
-1, 1
Let 16/7*x + 2/7*x**5 - 2/7*x**4 - 10/7*x**3 + 8/7 + 2/7*x**2 = 0. What is x?
-1, 2
Factor -4/13 + 2/13*w**3 - 8/13*w**2 + 10/13*w.
2*(w - 2)*(w - 1)**2/13
Let x(r) = 2*r**4 - 2*r**3 + r**2 - r + 3. Let z(o) = -o**4 + o**3 - 1. Let d be (8/(-6))/((-8)/12). Let k(b) = d*x(b) + 6*z(b). Find h such that k(h) = 0.
-1, 0, 1
Let t(z) be the second derivative of 0*z**3 + 1/50*z**5 - 2/75*z**6 + 0*z**4 - z + 0 + 1/105*z**7 + 0*z**2. Factor t(f).
2*f**3*(f - 1)**2/5
Let k be (-15)/10*(-96)/63. Find m, given that -16/7*m - k - 4/7*m**2 = 0.
-2
Suppose d = -d + 10. Suppose -4*l - d*q = -44, 5*l - 13 - 9 = 2*q. Determine v, given that -2*v**2 - 6 + 2*v + l = 0.
0, 1
Let t(j) be the second derivative of j**7/4200 - j**3/6 + 3*j. Let q(m) be the second derivative of t(m). Factor q(k).
k**3/5
Let x(n) be the third derivative of -1/135*n**5 - 1/540*n**6 + 3*n**2 + 0 - 1/108*n**4 + 0*n + 0*n**3. Factor x(u).
-2*u*(u + 1)**2/9
Let p be (4/14)/(5 - -55). Let n(z) be the third derivative of 2*z**2 + 0*z**4 + 0 - p*z**5 + 1/21*z**3 + 0*z. Find w such that n(w) = 0.
-1, 1
Let l(a) = -5*a**4 + 13*a**3 - 15*a**2 + 9*a. Let t(w) = -w**4 + 3*w**3 - 4*w**2 + 2*w. Let h(k) = 4*l(k) - 18*t(k). Let h(v) = 0. Calculate v.
-3, 0, 2
Let -2 - 6*m**3 + 24*m - 12*m**2 + 3*m**5 + 8 + 6*m**4 - 21*m = 0. What is m?
-2, -1, 1
Suppose -2*a + 12 = 2*a. Factor -a*q + 8*q**2 + 2 - 2 - 2 - 3*q**3.
-(q - 2)*(q - 1)*(3*q + 1)
Let d(x) = -x + 9. Let r(n) = -n + 20. Let m be r(13). Let p be d(m). Factor 6*s**4 + 3*s**2 - 3*s + 5*s**5 - 9*s**2 - p*s**5.
3*s*(s - 1)*(s + 1)**3
Let d(k) be the second derivative of 0 + 0*k**2 - 1/48*k**4 + 1/80*k**5 - k + 0*k**3. Determine r, given that d(r) = 0.
0, 1
Let c(a) be the third derivative of -a**8/40320 - a**7/5040 + a**5/60 + 2*a**2. Let j(k) be the third derivative of c(k). Suppose j(u) = 0. Calculate u.
-2, 0
Let z(p) be the third derivative of -3*p**2 + 0 + 0*p + 1/420*p**6 + 1/42*p**4 + 1/70*p**5 + 0*p**3. Find n such that z(n) = 0.
-2, -1, 0
Let n(f) be the third derivative of 2*f**7/105 + f**6/30 - 2*f**5/15 - 13*f**2. Find l such that n(l) = 0.
-2, 0, 1
Let c = -297 - -595/2. Factor -c*f**3 - 1 - 5/2*f - 2*f**2.
-(f + 1)**2*(f + 2)/2
Let u = -15 + 23. Suppose 3*x - u = -x. Factor 0 + 3*b - x*b**2 + b - 2.
-2*(b - 1)**2
Suppose -2/3*s**4 + 1/3*s**5 + 2/3*s**2 + 0*s**3 - 1/3*s + 0 = 0. Calculate s.
-1, 0, 1
Let a = -8 - -10. What is d in -3*d - 3*d + 4*d**a - 3*d + 6 - d**2 = 0?
1, 2
Let w(z) = -z**4 - 9*z**3 - z**2. Let j be (2/4*0)/3. Let g(r) = 0*r**3 + j*r**3 + 2*r**3. Let q(c) = 11*g(c) + 2*w(c). Factor q(n).
-2*n**2*(n - 1)**2
Let k = -43 + 43. Factor 4/11*h**3 + 0*h**2 + k*h**4 + 0 - 2/11*h**5 - 2/11*h.
-2*h*(h - 1)**2*(h + 1)**2/11
Let m = -11 + 15. Let z = m + 2. Determine s so that 10*s + z - 2*s + 2 + 2*s**2 = 0.
-2
Let g be ((-27)/4)/(6/(-24)). Let i = 83/3 - g. Factor 0 + i*b**4 + 2/3*b**3 - 2/3*b - 2/3*b**2.
2*b*(b - 1)*(b + 1)**2/3
Let k(j) be the first derivative of -j**6/6 - j**5 - 2*j**4 - 4*j**3/3 + 8. Solve k(d) = 0 for d.
-2, -1, 0
Let y(q) be the third derivative of -q**7/840 + q**5/120 - 2*q**3/3 - 3*q**2. Let t(r) be the first derivative of y(r). Find u, given that t(u) = 0.
-1, 0, 1
Let l(a) be the first derivative of -4*a**3 + 9/2*a**2 + 2 + 0*a. Find g such 