be the first derivative of n(y). Find i, given that v(i) = 0.
-1, 0, 2
Suppose -2*b = -6*b. Factor -q**3 + b - q**2 + q**4 + 0 + 2*q - q.
q*(q - 1)**2*(q + 1)
Let b be (-416)/(-234) + 4/18. Determine h, given that 0 - 4/7*h + 2/7*h**b = 0.
0, 2
Let a(b) be the first derivative of -2*b**5/15 + b**4/6 + 4*b**3/9 - 23. Factor a(d).
-2*d**2*(d - 2)*(d + 1)/3
Let k = -21 + 21. Solve k - 2/9*i**5 + 2/9*i**4 + 0*i**3 + 0*i + 0*i**2 = 0.
0, 1
Let c(g) be the first derivative of 0*g + 4/9*g**3 - 3 + 0*g**2 + 5/6*g**4 - 4/15*g**5 - 5/9*g**6. Solve c(p) = 0.
-1, -2/5, 0, 1
Let t(y) be the second derivative of 1/12*y**3 + 0 - 8*y + 0*y**2 - 1/24*y**4. Factor t(b).
-b*(b - 1)/2
Let m(y) = -4*y**4 + 4*y**3 + 7*y**2 - 4*y + 3. Let q(a) = 20*a**4 - 20*a**3 - 36*a**2 + 20*a - 16. Let s(o) = -16*m(o) - 3*q(o). Let s(x) = 0. What is x?
-1, 0, 1
Let d(a) be the second derivative of a**8/11760 - a**7/2940 - a**6/2520 + a**5/420 - a**3/2 - 5*a. Let q(g) be the second derivative of d(g). Factor q(j).
j*(j - 2)*(j - 1)*(j + 1)/7
Let z(g) be the first derivative of -g**5/50 + g**4/30 + g**3/15 - 3*g**2/2 + 3. Let o(q) be the second derivative of z(q). Solve o(s) = 0 for s.
-1/3, 1
Let k(j) be the first derivative of -j**7/280 - j**6/120 + j**5/40 + j**4/8 + 2*j**3/3 + 1. Let m(d) be the third derivative of k(d). Find s such that m(s) = 0.
-1, 1
Let i(g) be the first derivative of g**7/840 + g**6/120 + g**5/60 + 8*g**3/3 - 9. Let l(n) be the third derivative of i(n). Factor l(h).
h*(h + 1)*(h + 2)
Factor 2*c**2 + 129*c - c**3 - 129*c.
-c**2*(c - 2)
Let s(z) be the second derivative of -5*z - 1/10*z**2 - 1/100*z**5 + 1/60*z**4 + 1/30*z**3 + 0. Find x, given that s(x) = 0.
-1, 1
Let f(v) be the first derivative of 3*v**5/5 + 5*v**4/4 + 7*v**3/9 + v**2/6 - 3. Let f(s) = 0. What is s?
-1, -1/3, 0
Let a be 24/(10 + -4) + -2. Let 0 - 2/7*s**a + 2/7*s = 0. Calculate s.
0, 1
Determine t, given that -30*t + 6 + 9*t**2 - 2*t**4 - 3*t**3 + 0*t**4 - t**4 + 45*t = 0.
-1, 2
Factor 26*u - 4*u**2 - u - 5*u**5 - 6*u**2 + 216*u**3 - 10 - 236*u**3 + 20*u**4.
-5*(u - 2)*(u - 1)**3*(u + 1)
Let p = 10 + -13. Let i be ((-6)/p)/(2 - 1). Determine u so that -1/3*u**3 - 1/3*u + 2/3*u**i + 0 = 0.
0, 1
Let v = 62/45 - 2/45. Let g be (-16)/(-1) - (4/6 + 0). What is a in 14/3*a**5 + 0 + g*a**4 + v*a + 18*a**3 + 26/3*a**2 = 0?
-1, -2/7, 0
Suppose 0 = -3*x - 22 - 8. Let j(n) = -n**3 - n**2 + 2*n + 2. Let p(v) = -3*v**3 - 2*v**2 + 5*v + 5. Let t(c) = x*j(c) + 4*p(c). Let t(f) = 0. Calculate f.
0, 1
Let v(q) = -q**2 + 5*q - 4. Let h(g) be the first derivative of -g**3/3 + 2*g**2 - 3*g - 4. Let i(u) = -6*h(u) + 4*v(u). Factor i(x).
2*(x - 1)**2
Let n(w) be the third derivative of -w**7/70 - w**6/20 - w**5/20 - 11*w**2. Suppose n(y) = 0. What is y?
-1, 0
Let t(b) be the second derivative of -b**6/6 - 3*b**5/4 + 10*b**3/3 - 15*b. Let t(y) = 0. Calculate y.
-2, 0, 1
Let n = 71 - 71. Let c(h) be the second derivative of 0*h**2 - 1/15*h**5 + 1/63*h**7 + 0*h**4 + 1/9*h**3 + 0 - h + n*h**6. Factor c(u).
2*u*(u - 1)**2*(u + 1)**2/3
Let o = 22 + -2. Let q be (-4)/o - 13/(-15). Factor q + 7/3*n**3 + 11/3*n + 16/3*n**2.
(n + 1)**2*(7*n + 2)/3
Let o(v) be the third derivative of -343*v**6/300 + 49*v**5/50 - 7*v**4/20 + v**3/15 - 14*v**2. Solve o(l) = 0 for l.
1/7
Suppose 18 = 5*c - 2*c. Let u = c - 0. Factor 5*j**2 - u*j + 4*j**2 - 4*j**3 + j**3.
-3*j*(j - 2)*(j - 1)
Let l(c) be the second derivative of 3/2*c**3 + 3*c + 0 + 3*c**2 + 1/4*c**4. Factor l(m).
3*(m + 1)*(m + 2)
Suppose 23 + 13 = 3*i. Let q be (6/i)/(6/4). Factor 7/3*w**3 + 0 + 3*w**5 + q*w**2 + 0*w + 5*w**4.
w**2*(w + 1)*(3*w + 1)**2/3
Let z(h) be the first derivative of h**3 + h**2/2 - 2. Let r be z(-1). Determine q, given that -3*q + r*q**3 - q + q**2 + q**2 = 0.
-2, 0, 1
Let u(j) be the first derivative of -j**7/420 + j**6/144 - j**5/180 + 5*j**2/2 + 3. Let w(t) be the second derivative of u(t). Factor w(b).
-b**2*(b - 1)*(3*b - 2)/6
Let j(w) be the third derivative of -w**5/30 + 3*w**4/2 - 27*w**3 - 24*w**2 - 2. Factor j(u).
-2*(u - 9)**2
Let z(k) = -k**2 + 12*k - 25. Let f be z(9). Suppose -2*a - 5 = -7*a. Let 1 + a + 0*d**2 + f*d**2 - 4*d = 0. What is d?
1
Let u(t) be the first derivative of t**3/3 + t**2/2 + 3. Determine w, given that u(w) = 0.
-1, 0
Let w(c) be the first derivative of -49*c**5/25 + 35*c**4/4 - 62*c**3/5 + 34*c**2/5 - 8*c/5 - 23. What is r in w(r) = 0?
2/7, 1, 2
Let m be 0 - -13 - (-4 + 5). Factor -9 + k**2 - 4*k**2 - 3 + m*k.
-3*(k - 2)**2
Let w(k) be the second derivative of -k**4/4 - k**3/2 + 3*k**2 - 2*k. Factor w(v).
-3*(v - 1)*(v + 2)
Let t(n) be the third derivative of -5*n**2 - 1/20*n**5 + 0 + 3/8*n**4 + 0*n - n**3. Factor t(p).
-3*(p - 2)*(p - 1)
Factor 2/5 - 3/5*z**2 - z.
-(z + 2)*(3*z - 1)/5
Suppose -8 + 28 = 2*k. Let o be (1 + 5/k)/3. Solve -1/2*j**2 + 0 + o*j**4 + 1/2*j**3 - 1/2*j = 0.
-1, 0, 1
Let i(f) be the first derivative of -1/8*f**4 + 3/4*f**2 + 0*f**3 - 1 - f. Factor i(a).
-(a - 1)**2*(a + 2)/2
Let w(g) = -g + 4. Let u be w(0). Let t = u - 1. Factor 2*c**4 + 0 - 8*c - 3*c**t + 12*c**2 + 2 - 5*c**3.
2*(c - 1)**4
Let w(z) be the first derivative of 8 + 1/10*z**4 - 3/10*z**2 - 2/15*z**3 + 3/25*z**5 - 1/5*z + 1/30*z**6. Let w(l) = 0. Calculate l.
-1, 1
Let z(l) be the first derivative of l**5/25 + l**4/5 + l**3/3 + l**2/5 + 2. Determine i, given that z(i) = 0.
-2, -1, 0
Let t(d) be the first derivative of 11*d**5 - 65*d**4/4 + 10*d**3/3 - 21. Factor t(s).
5*s**2*(s - 1)*(11*s - 2)
Let x(t) be the first derivative of 0*t**2 + 2 - 1/16*t**4 + 0*t + 0*t**3. Factor x(n).
-n**3/4
Let g be (-1)/4 + (-18)/(-24). Let q(y) be the first derivative of 0*y**3 + 0*y - y**2 - 3 + g*y**4. Let q(w) = 0. Calculate w.
-1, 0, 1
Let l(d) be the second derivative of d**6/6 - 5*d**5/4 + 15*d**4/4 - 35*d**3/6 + 5*d**2 - 20*d. Factor l(f).
5*(f - 2)*(f - 1)**3
Let r = 28/55 + 42/55. Determine o so that r*o**2 + 16/11*o**5 + 6/11*o - 2*o**3 - 2/11 - 12/11*o**4 = 0.
-1, -1/2, 1/4, 1
Let i = -219 - -222. Factor 2/5*h**i - 4/5 - 6/5*h + 0*h**2.
2*(h - 2)*(h + 1)**2/5
Let s(o) be the first derivative of -3*o**4/20 + 2*o**3/5 + 6*o**2/5 - 24*o/5 - 39. Let s(b) = 0. What is b?
-2, 2
Let p be 96/1404 + (-4)/(-26). Factor -4/9 - 2/9*h**3 + 4/9*h**2 + p*h.
-2*(h - 2)*(h - 1)*(h + 1)/9
Let r be -1*(16/(-12) + 1). Let z(y) be the first derivative of r*y**6 + 0*y + 2 - 1/2*y**4 + 0*y**5 + 0*y**2 + 0*y**3. Suppose z(v) = 0. What is v?
-1, 0, 1
Let g = 1388/45 + -152/5. Factor g*z**4 + 0*z + 0*z**2 + 0 - 2/9*z**5 - 2/9*z**3.
-2*z**3*(z - 1)**2/9
Let o(v) be the second derivative of 0 + 0*v**2 - 1/15*v**6 + 3*v + 1/6*v**4 + 1/3*v**3 - 1/10*v**5. Solve o(t) = 0.
-1, 0, 1
Let o(s) be the second derivative of -s**4/12 + s**3/6 - s. Let u(b) = 5*b**2 + b. Let p(h) = -3*o(h) - u(h). Find c, given that p(c) = 0.
-2, 0
Let t(p) be the third derivative of 9*p**7/280 - 9*p**6/160 - 3*p**5/16 - 17*p**4/96 - p**3/12 - p**2. Let t(a) = 0. Calculate a.
-1/3, 2
Let u(p) be the second derivative of -p**7/14 - 3*p**6/10 - 9*p**5/20 - p**4/4 - 4*p. Factor u(t).
-3*t**2*(t + 1)**3
Suppose 83*h - 78*h = 0. Let s(g) be the first derivative of -1/8*g**2 + 1/12*g**3 - 1 + h*g. Factor s(w).
w*(w - 1)/4
Let b(a) be the first derivative of -3*a**5/5 + 3*a**4/2 - a**3 + 2. Find f such that b(f) = 0.
0, 1
Suppose -2/3*m**2 + 2/3 + 0*m = 0. What is m?
-1, 1
Let v(t) be the second derivative of t**10/151200 - 5*t**4/12 - 3*t. Let b(u) be the third derivative of v(u). What is p in b(p) = 0?
0
Let x be 21/(-12) + -1 - -3. Let n be (-37)/(-22) - 10/55. Factor 1/4*f**2 + 4*f**4 + n*f + x - 6*f**3.
(f - 1)**2*(4*f + 1)**2/4
Let k = 7/19 - -17/57. Find j such that 0*j**2 + 0 + 2/3*j**3 + 0*j - k*j**4 = 0.
0, 1
Let o(f) be the third derivative of -2*f**2 + 1/120*f**6 - 1/24*f**4 - 1/210*f**7 + 0*f**3 + 1/60*f**5 + 0*f + 0. Factor o(s).
-s*(s - 1)**2*(s + 1)
Let v(j) be the third derivative of 0 + 0*j + 1/300*j**5 + 1/15*j**3 - 1/40*j**4 + 2*j**2. Let v(g) = 0. What is g?
1, 2
Let a = -6 - -7. Suppose 3*y + a = 7. Find l such that 0*l - 2/5*l**4 - 4/5*l**y + 0 - 6/5*l**3 = 0.
-2, -1, 0
Suppose -10 = 2*w - w. Let t be 8/126 + w/(-45). Factor 0 + 0*n**2 + 0*n**4 - 4/7*n**3 + 2/7*n + t*n**5.
2*n*(n - 1)**2*(n + 1)**2/7
What is k in 4/9*k**2 - 2/9*k**4 + 0 + 0*k - 2/9*k**3 = 0?
-2, 0, 1
