**3 + 0. Factor a(i).
-2*i**2*(i - 1)**3/9
Let w(f) be the first derivative of -1/3*f**2 + 2/9*f**3 - 2 + 0*f. Factor w(n).
2*n*(n - 1)/3
Let w = -5 + 7. Factor 72*b - 27 - 157*b**w + 125*b**3 - 68*b**2 + 63*b.
(5*b - 3)**3
Let g = -116 + 118. Let w(y) be the first derivative of 0*y**3 + 4 + 1/22*y**4 + 2/55*y**5 + 0*y**g + 0*y. Solve w(m) = 0 for m.
-1, 0
Let h = -6 + 8. Let m be (-100)/36 + 1 + h. Factor -2/9*g**3 + 2/9 + m*g - 2/9*g**2.
-2*(g - 1)*(g + 1)**2/9
Suppose -2*x - 5*x + x = 0. Let m(p) be the second derivative of 0*p**2 + 1/20*p**5 + 2*p + x + 1/6*p**4 + 1/6*p**3. Let m(q) = 0. What is q?
-1, 0
Let o be (-10)/(-4) - (-5)/10. Let -h**2 + o*h**4 + 8*h**4 - 10*h**4 = 0. What is h?
-1, 0, 1
Let x be ((-60)/(-14))/(9/42). Let s = -17 + x. Determine v so that -v - 1/3*v**s + 1/3 + v**2 = 0.
1
Let j = 0 + 33. Let p be (-1 - -4) + j/(-12). Solve -1/4*z - 1/4 + p*z**3 + 1/4*z**2 = 0 for z.
-1, 1
Let i(d) be the second derivative of -d**5/5 - 2*d**4/3 + 2*d**3/3 + 4*d**2 + 6*d. Factor i(u).
-4*(u - 1)*(u + 1)*(u + 2)
Let c(r) be the second derivative of -1/3*r**4 + 0*r**2 + 1/3*r**3 - 4/5*r**5 + 0 + r. Suppose c(j) = 0. Calculate j.
-1/2, 0, 1/4
Let g(x) = x**5 + x**4 - x**3 - 1. Let t(u) = -9*u**5 + 29*u**4 + 3*u**3 - 5. Let a(b) = 10*g(b) - 2*t(b). Find w, given that a(w) = 0.
-2/7, 0, 2
Let b be 1 - 0 - 42/(-6). Suppose 2*o - 4 - b = 0. Let -o*l**2 - 10/3*l**3 - 2/3*l**4 - 4/3 - 14/3*l = 0. Calculate l.
-2, -1
Suppose -5*h - k = k + 6, -10 = 2*h - 3*k. Let m = h + 4. Find z such that 4*z**2 - 3*z**4 + 3*z**5 - 3*z**3 + 3*z**2 - 4*z**m = 0.
-1, 0, 1
Factor -8/9*q + 0 - 4/3*q**2.
-4*q*(3*q + 2)/9
Let l(r) be the second derivative of r**6/180 - r**5/30 + r**4/18 + 13*r. Find a such that l(a) = 0.
0, 2
Let f(h) = 36*h**2 + 4*h + 16. Let j(b) = -7*b**2 - b - 3. Let q(s) = -3*f(s) - 16*j(s). Find v, given that q(v) = 0.
-1, 0
Let c(l) be the second derivative of 0*l**3 - 3/50*l**5 + 0 - 1/105*l**7 + 0*l**2 + 1/25*l**6 + 1/30*l**4 + 4*l. Suppose c(q) = 0. Calculate q.
0, 1
Let v(m) be the first derivative of m**3 + 12*m**2 + 48*m - 39. Find l such that v(l) = 0.
-4
Let k be -1 + (1 - 18/(-21)). Let t be 4/7*(-4)/(-8). Factor -t*r**3 + 0*r + 8/7 - k*r**2.
-2*(r - 1)*(r + 2)**2/7
Suppose 0 = 5*j + 4 + 6. Let h = j + 2. Factor h*b**2 + 0 + 0*b**4 + 0*b - 8/7*b**5 + 2/7*b**3.
-2*b**3*(2*b - 1)*(2*b + 1)/7
Let k = 41 + 5. Suppose 12 - 108*g + k*g**2 - 19*g**2 + 36*g**2 + 180*g**2 = 0. What is g?
2/9
Let a be 40/(-60)*3/(-10). Let v(k) be the second derivative of -1/15*k**3 + 2*k + 1/50*k**5 + 1/30*k**4 - a*k**2 + 0. Determine u so that v(u) = 0.
-1, 1
Let s(o) be the third derivative of -o**5/240 - 5*o**4/16 - 75*o**3/8 + 2*o**2 + 5. What is y in s(y) = 0?
-15
Let x be 320/(-15)*3/(-9). Factor -112*u**3 - 976/9*u**2 + 32/9 + x*u + 882*u**4.
2*(7*u - 2)**2*(9*u + 2)**2/9
Let y(b) be the third derivative of b**7/630 - b**6/120 + b**5/180 + b**4/24 - b**3/9 + 6*b**2. Find o, given that y(o) = 0.
-1, 1, 2
Let z(f) = f**5 + f**4 + f**2 - f - 1. Let p(o) = -2*o**5 - 3*o**4 - o**2 + o + 1. Let b(k) = 5*p(k) + 5*z(k). Suppose b(v) = 0. Calculate v.
-2, 0
Let o be (48/(-5))/(-4) - 8/4. Factor o - 4/5*j + 2/5*j**2.
2*(j - 1)**2/5
Let q(h) be the first derivative of h**3/5 + 3*h**2/10 - 2. Determine r, given that q(r) = 0.
-1, 0
Let l be (-4)/((-708)/(-53)) + 1. Let s = l - 2/59. Factor 0 + 2/9*k**3 - s*k**2 + 4/9*k.
2*k*(k - 2)*(k - 1)/9
Let u(t) be the third derivative of 4*t**7/945 - t**5/90 - t**4/108 - 52*t**2. Factor u(a).
2*a*(a - 1)*(2*a + 1)**2/9
Factor 5*c**4 + 65*c**2 + 2*c**3 - 67*c**2 + 4*c**5 - 9*c**3.
c**2*(c - 1)*(c + 2)*(4*c + 1)
Let n = 1272 - 1270. Factor 0 + 9/4*l + 3/4*l**3 - 3*l**n.
3*l*(l - 3)*(l - 1)/4
Let q(z) = 7*z + 2. Let c be q(4). Suppose -r = -6*r + c. What is j in 0*j**3 + 6*j**3 + 2*j - r*j**2 + 0*j**2 - 2*j**4 = 0?
0, 1
Suppose -5*x = 3*h - 24 + 3, 1 = -h + x. Factor 12/5*o**3 + 9/5*o**4 + 0*o + 0 + 3/5*o**h.
3*o**2*(o + 1)*(3*o + 1)/5
Let z(s) be the first derivative of s**6/48 + 3*s**5/40 + 3*s**4/32 + s**3/24 - 24. What is b in z(b) = 0?
-1, 0
Let j(u) be the first derivative of -3 + 1/15*u**6 + 0*u**4 - 4/25*u**5 + 0*u + 0*u**2 + 0*u**3. Factor j(b).
2*b**4*(b - 2)/5
Let u(c) = -10*c**3 - 3*c**2 - 2*c + 1. Let r be u(-2). Factor 6*n**2 - 10*n - r - 2*n**3 + 75 + 4*n.
-2*(n - 1)**3
Let p = 8 - 8. Suppose p = 2*a - 5*a. Determine k, given that 1/4*k**3 + 0*k + 1/4*k**4 - 1/4*k**5 - 1/4*k**2 + a = 0.
-1, 0, 1
What is i in -4*i - 2/9*i**2 - 18 = 0?
-9
Let t(s) = 3*s**4 - 27*s**3 - 27*s**2 + 3*s - 9. Let r(x) = -x**4 + 13*x**3 + 13*x**2 - x + 4. Let q(d) = -9*r(d) - 4*t(d). Factor q(j).
-3*j*(j + 1)**3
Let w(t) be the first derivative of 0*t**3 + 1/6*t**2 - 1/12*t**4 + 0*t - 3. Suppose w(a) = 0. What is a?
-1, 0, 1
Let d(q) be the first derivative of -2*q**6/3 + 2*q**4 - 2*q**2 + 10. Factor d(r).
-4*r*(r - 1)**2*(r + 1)**2
Let y = 15 + -13. Let l be 1/y - 13/(-6). Factor -2/3*w**3 + 0*w**2 - l*w**5 + 0 + 0*w - 10/3*w**4.
-2*w**3*(w + 1)*(4*w + 1)/3
Let w(q) be the third derivative of -q**8/6720 + q**6/720 - q**4/96 + q**3/3 + q**2. Let z(x) be the first derivative of w(x). Factor z(y).
-(y - 1)**2*(y + 1)**2/4
Let 0*b + 1/5*b**3 - 4/5 + 3/5*b**2 = 0. What is b?
-2, 1
Let m(q) be the first derivative of 4/25*q**5 + 0*q + 0*q**4 + 0*q**3 + 1/3*q**6 + 5 + 0*q**2. Factor m(l).
2*l**4*(5*l + 2)/5
Let r(q) be the second derivative of 1/60*q**5 + 0*q**3 + 0 - q**2 + 1/12*q**4 + q. Let s(b) be the first derivative of r(b). Let s(x) = 0. What is x?
-2, 0
Let n(c) be the second derivative of -c**5/90 + c**4/36 - c**2 + 4*c. Let q(l) be the first derivative of n(l). Solve q(k) = 0.
0, 1
Let q be ((-1)/(-3))/(7 - 6). Let y(j) be the third derivative of q*j**3 + 0*j - 1/4*j**4 + 1/10*j**5 - j**2 - 1/60*j**6 + 0. Factor y(k).
-2*(k - 1)**3
Let u be 62/56 - 0 - (-39)/(-156). Find v, given that -2/7*v**3 + u*v**2 - 6/7*v + 2/7 = 0.
1
Let t(v) = 11*v - 85. Let m be t(8). Let i(r) be the first derivative of -1/18*r**m + 0*r - 3 + 0*r**2. Factor i(n).
-n**2/6
Let u = 96 + -90. Let k(a) be the third derivative of 0*a**3 + 0 + 0*a + 0*a**4 + 0*a**5 - 4*a**2 + 1/300*a**u. Factor k(c).
2*c**3/5
Let q(y) be the second derivative of 0*y**3 - y + 1/110*y**5 + 0*y**4 + 0 + 0*y**2 - 1/165*y**6. Factor q(f).
-2*f**3*(f - 1)/11
Let h = -28 + 31. Let p(s) be the second derivative of -1/10*s**2 + 1/30*s**h + 0 + 1/30*s**4 - s. Let p(n) = 0. What is n?
-1, 1/2
Suppose -9 = -0*a - 3*a. Factor 2*v**2 - a*v + 4*v**3 + 3 - 5*v**2 - 4 - 5*v**3.
-(v + 1)**3
Solve 8/11 + 0*a - 2/11*a**2 = 0.
-2, 2
Let i(d) = 2*d**2 - d + 7. Let y(g) = -6*g + 4*g - 1 + 3*g + 0*g. Let u(b) = -i(b) - 5*y(b). Factor u(o).
-2*(o + 1)**2
Let g(s) be the second derivative of s**4/12 - s**3/6 - s. Let p(o) = -2*o**2 + 10*o + 4. Let q be (-6)/3 - 1*2. Let f(l) = q*g(l) - p(l). Factor f(w).
-2*(w + 1)*(w + 2)
Let v(t) be the first derivative of t**4/4 - 4*t**3/3 + 5*t**2/2 - 2*t + 1. Factor v(u).
(u - 2)*(u - 1)**2
Find h such that -32*h - 20 - 86*h**2 + 81*h**2 + 7*h = 0.
-4, -1
Let b = -66 + 68. Factor -4/5*t**3 + 2/5*t**b + 0 + 0*t + 2/5*t**4.
2*t**2*(t - 1)**2/5
Let a(h) be the third derivative of h**7/525 + h**6/300 - h**5/50 - h**4/60 + 2*h**3/15 - 6*h**2. What is p in a(p) = 0?
-2, -1, 1
Let q(x) be the third derivative of -x**6/1080 - x**5/180 + x**4/24 + x**3/6 + 5*x**2. Let n(t) be the first derivative of q(t). Find m such that n(m) = 0.
-3, 1
Suppose -2*p = 4*c + 16, 2*p - 4*c - 29 = c. Let g(n) be the third derivative of -1/96*n**4 - p*n**2 + 0*n**3 - 1/240*n**5 + 0*n + 0. Solve g(q) = 0 for q.
-1, 0
Let g = 533 - 531. Solve 0 + 0*r + r**g + 1/3*r**3 = 0.
-3, 0
Let w(r) be the third derivative of -r**7/70 - r**6/40 + r**5/20 + r**4/8 - 5*r**2. Find v, given that w(v) = 0.
-1, 0, 1
Let l(c) be the first derivative of 3*c**4 + 20*c**3/3 + 2*c**2 - 4*c + 4. Factor l(s).
4*(s + 1)**2*(3*s - 1)
Suppose -15 = -5*u + 5*y, -13 + 36 = 3*u + 4*y. Suppose u*n = n. Factor -2/5 + n*f**3 + 4/5*f**2 - 2/5*f**4 + 0*f.
-2*(f - 1)**2*(f + 1)**2/5
Solve 4/3*i - 2/9*i**2 - 2 = 0 for i.
3
Let r be (-11)/(-55) - 27/(-15). Factor 1/3*f**r + 2/3*f + 0.
f*(f + 2)/3
Let r(k) be the second derivative of k**5/100 + k**4/30 + k**3/30 + 5*k. What is q in r(q) = 0?
-1, 0
Let n(a) be the third derivative of