). Let f(l) be the second derivative of 2*l + l**2 - u*l**3 + 0 + 1/6*l**4. Factor f(a).
2*(a - 1)**2
Let y(i) = -i**2 + 8*i - 5. Let s be y(7). Factor 2*h**2 + s*h**3 - 3*h**2 - 3*h**3.
-h**2*(h + 1)
Let v(u) be the first derivative of u**3/9 + u**2/6 + 4. Let v(i) = 0. Calculate i.
-1, 0
Let q(g) = -g**2 - g. Let y(a) = 4*a**3 - 10*a**2 + 10*a. Let o(s) = -2*q(s) - y(s). Find j such that o(j) = 0.
0, 1, 2
Let t(y) be the first derivative of -3*y**5/25 + 3*y**4/10 - y**3/5 + 8. Find z, given that t(z) = 0.
0, 1
Let d = -17 + 13. Let n(f) = f**2 - 13*f - 2. Suppose -l + 11 = -2*l. Let q(o) = -2*o**2 + 38*o + 7. Let a(t) = d*q(t) + l*n(t). Factor a(j).
-3*(j + 1)*(j + 2)
Let n(a) be the second derivative of -a**7/5040 + a**5/720 + a**3/6 - 8*a. Let g(t) be the second derivative of n(t). Factor g(r).
-r*(r - 1)*(r + 1)/6
Let j = -58 - -61. Suppose -2/3*a**4 - 8*a - 8/3 - 4*a**j - 26/3*a**2 = 0. Calculate a.
-2, -1
What is w in 24/7*w + 6/7*w**4 - 22/7*w**2 + 2/7*w**3 - 2/7*w**5 - 8/7 = 0?
-2, 1, 2
Let j(w) be the third derivative of w**6/60 - w**5/30 - w**4/6 + 4*w**2. Suppose j(v) = 0. What is v?
-1, 0, 2
Let g(h) be the second derivative of -2/9*h**4 - 1/9*h**3 + 0*h**2 - 5/63*h**7 + 4/45*h**6 + 1/5*h**5 + 0 + 2*h. Find n such that g(n) = 0.
-1, -1/5, 0, 1
Let g(m) = m**5 + m**4 + m**2 - m + 1. Let v(n) = -14*n**5 - 4*n**4 + 20*n**3 - 2*n**2 - 6*n. Let s(j) = 2*g(j) + v(j). Determine f, given that s(f) = 0.
-1, 1/3, 1/2, 1
Find f such that 0*f**2 - f + 1/4*f**3 + 0 = 0.
-2, 0, 2
Let g(w) = -2*w**2 + 4 + 5 - 9*w - 2. Let y be g(-5). Solve u + u**y + 1/3 + 1/3*u**3 = 0 for u.
-1
Let a be (1/(-6))/(3/(-12)). Suppose 6 = -v + 9*l - 6*l, -4*v - 2*l + 4 = 0. What is j in 0*j**2 + 2/3*j**5 + v + 4/3*j**4 + 0*j + a*j**3 = 0?
-1, 0
Let z(k) be the first derivative of k**5/25 + k**4/10 + k**3/15 - 15. Factor z(q).
q**2*(q + 1)**2/5
Solve 0*z - 1/7*z**4 - 1/7 + 2/7*z**2 + 0*z**3 = 0 for z.
-1, 1
Let m(f) be the first derivative of -4*f**2 - 35/2*f**4 - 3 - 5*f**5 + 0*f - 44/3*f**3. Solve m(b) = 0 for b.
-2, -2/5, 0
Determine h so that 49/4*h**3 + 21/4*h**2 + 1 - 6*h = 0.
-1, 2/7
Suppose -4*z + 4*k = -3*z - 9, 4 = -4*z - 4*k. Determine a so that -7*a + 10*a**2 + z - 9*a + 7 - 2*a**3 = 0.
1, 2
Let m(b) be the second derivative of b**7/420 - b**6/60 + b**5/30 + b**3 + 6*b. Let z(l) be the second derivative of m(l). Solve z(o) = 0.
0, 1, 2
Let c be 4/(8/(-4)) - -6. Let d(u) be the second derivative of -1/48*u**c + 0 + 0*u**2 + u + 1/24*u**3. Let d(h) = 0. What is h?
0, 1
Factor -154*w**3 + 118*w**3 + 0 - 9 + 12*w + 105*w**2.
-3*(w - 3)*(3*w + 1)*(4*w - 1)
Let w = -33 - -69/2. Let f(o) be the first derivative of -2 - 1/6*o**3 - 9/2*o + w*o**2. Factor f(z).
-(z - 3)**2/2
Suppose 59*l = 57*l + 4. Factor 2/5*o**3 + 2*o - 8/5*o**l - 4/5.
2*(o - 2)*(o - 1)**2/5
Suppose -1 - 1 = w - 2*k, -18 = -5*w - 4*k. Determine b, given that -5/3*b - 2/3 - 1/3*b**3 - 4/3*b**w = 0.
-2, -1
Suppose -1/7*m**3 + 0*m**2 + m - 6/7 = 0. What is m?
-3, 1, 2
Suppose 2*z + 3 = 7. Factor 4*j - 6 + 1 + 4 + 3 + 2*j**z.
2*(j + 1)**2
Let m(z) = -9*z - 1. Let w(y) = 5*y. Let t(x) = 4*m(x) + 7*w(x). Let d be t(-7). Solve 7*o**4 - 8*o**2 - 4*o**5 - o + 1 + 4*o**3 - 2*o**3 + d*o = 0 for o.
-1, -1/4, 1
Let i(g) be the third derivative of 3*g**2 + 0*g + 2/15*g**5 - 4/3*g**3 + 3/10*g**6 - 3/2*g**4 + 0. Factor i(n).
4*(n - 1)*(n + 1)*(9*n + 2)
Let y(m) be the third derivative of 0 - 1/600*m**6 + 1/75*m**5 + 0*m + 4*m**2 - 1/24*m**4 + 1/15*m**3. Determine c so that y(c) = 0.
1, 2
Let d be 6*4/24 + 4. Factor -5/4*j**4 - 1/4 - 5/4*j - 5/2*j**2 - 1/4*j**d - 5/2*j**3.
-(j + 1)**5/4
What is h in 1/2*h**2 + h + 1/2 = 0?
-1
Let o = 1 + -1. Suppose 2*z + 2*z - 8 = o, -4*k + 10 = z. Find m, given that -6*m**4 + 4*m**2 + 4*m**4 - k - m**4 + m**4 = 0.
-1, 1
Let o = 8 + -6. Let c(t) be the first derivative of 8/7*t + 2/21*t**3 + 4/7*t**o - 2. Factor c(h).
2*(h + 2)**2/7
Suppose 5*v + 8 = -2*k, 0 = -v - 2*k - 0*k - 8. Let x(m) be the third derivative of 0*m**4 + m**2 + v + 0*m + 0*m**5 + 0*m**3 - 1/420*m**6. Factor x(d).
-2*d**3/7
Let q(j) be the second derivative of -j**7/7560 + j**6/2160 + j**4/6 - 3*j. Let u(b) be the third derivative of q(b). Suppose u(y) = 0. Calculate y.
0, 1
Let a(w) be the second derivative of 0*w**3 + 0 - 1/30*w**6 + 1/20*w**5 + 1/12*w**4 + 0*w**2 - 2*w - 1/42*w**7. Solve a(n) = 0 for n.
-1, 0, 1
Let g(p) be the first derivative of -p**6/15 - 4*p**5/25 + 2. Solve g(b) = 0.
-2, 0
Suppose -3*f = 2*f. Let l(t) be the third derivative of 0*t + 0*t**3 - 7/480*t**6 - 2*t**2 + 1/48*t**4 - 1/48*t**5 + f. Factor l(j).
-j*(j + 1)*(7*j - 2)/4
Let i be (-7)/((-42)/(-18)) - (-6 - 2). Let p(y) be the first derivative of 2/9*y**4 + 0*y - 10/27*y**3 + 2/9*y**2 - 2 - 2/45*y**i. Solve p(g) = 0.
0, 1, 2
Factor 50/3 + 2/3*z**2 - 20/3*z.
2*(z - 5)**2/3
Let v = 193/2 - 92. Find t such that 3/4*t**2 + 27/4 - v*t = 0.
3
Let b = -148 - -150. Factor b*n**2 - 2*n - 1/2*n**5 + 0 + 3/2*n**3 - n**4.
-n*(n - 1)**2*(n + 2)**2/2
Suppose 0 = 2*v + 5*i - 86, -2*i = v - 3*v + 58. Let q = 101/3 - v. Factor 0 + q*h**3 + 8/3*h**2 + 8/3*h.
2*h*(h + 2)**2/3
Let n = -5 + 0. Let j(d) = -d**2 - 5*d. Let z be j(n). Factor 0 + 1/4*t**3 - 1/4*t**2 + z*t.
t**2*(t - 1)/4
Suppose 5*v + 4 = 19. Suppose 4*g - 20 = 4*q, -2*g - v*q = -g + 3. Factor 4/3 + 2/3*i**g - 4/3*i**2 - 2/3*i.
2*(i - 2)*(i - 1)*(i + 1)/3
Let p(j) be the second derivative of j**4/20 + 3*j**3/5 + 3*j**2/2 - 56*j. Factor p(g).
3*(g + 1)*(g + 5)/5
Let l(t) be the first derivative of 2*t**5/55 + t**4/22 - 45. Solve l(n) = 0 for n.
-1, 0
Factor -3/2*r**2 + 0 - 1/2*r.
-r*(3*r + 1)/2
Let i(g) be the first derivative of -1/108*g**4 + 1/1620*g**6 + 0*g + 0*g**5 + 0*g**2 - 2/3*g**3 - 1. Let m(q) be the third derivative of i(q). Factor m(f).
2*(f - 1)*(f + 1)/9
Let y(h) = 2*h - 8. Let n be y(7). Suppose -10 + n = -2*g. Factor 0*c**4 + 0 + 0*c - 3/2*c**3 + 0*c**g + 3/2*c**5.
3*c**3*(c - 1)*(c + 1)/2
Let z(y) = -y**2 + 7*y - 7. Let u be z(5). Find i such that 1/2*i**5 + 3/2*i**4 + 0 + 3/2*i**u + 1/2*i**2 + 0*i = 0.
-1, 0
Let t(y) = -6*y**3 - 31*y**2 - 37*y - 12. Let j(o) = -4*o**3 - 21*o**2 - 25*o - 8. Let n(r) = -7*j(r) + 5*t(r). Find v, given that n(v) = 0.
-2, -1
Factor -10/11*q**2 - 8/11 - 2/11*q**3 - 16/11*q.
-2*(q + 1)*(q + 2)**2/11
Let j = -2 + 6. Let g(c) be the third derivative of 0 - 3*c**2 + 0*c**3 + 0*c - 1/48*c**j + 7/240*c**5. What is q in g(q) = 0?
0, 2/7
Let y(v) = -3*v - 5. Let o be y(-6). Let 2*z**2 + o*z**4 - 15*z**4 + 0*z**2 = 0. Calculate z.
-1, 0, 1
Let i = 18 - 10. Let g(j) be the third derivative of -1/180*j**6 + 0*j**7 + 0 + 0*j**5 + 1/1008*j**i + 2*j**2 + 0*j + 0*j**3 + 1/72*j**4. Factor g(r).
r*(r - 1)**2*(r + 1)**2/3
Let a(y) be the first derivative of y**8/1680 - y**6/360 + 4*y**3/3 - 2. Let l(g) be the third derivative of a(g). Factor l(x).
x**2*(x - 1)*(x + 1)
Factor 8*p**4 - 2*p - 6*p**2 + 7*p - 10*p**4 - 3*p + 6*p**3.
-2*p*(p - 1)**3
Let f(b) be the second derivative of b**7/2520 + b**4/6 - 3*b. Let h(o) be the third derivative of f(o). Factor h(z).
z**2
Suppose 0 = -6*l + 2*l. Let i(z) be the second derivative of l*z**3 + 2*z + 1/75*z**6 + 0 + 0*z**2 - 1/30*z**4 + 0*z**5. Factor i(k).
2*k**2*(k - 1)*(k + 1)/5
Let n(f) be the third derivative of -7*f**6/300 + 8*f**5/75 - 11*f**4/60 + 2*f**3/15 + 8*f**2. Factor n(q).
-2*(q - 1)**2*(7*q - 2)/5
Let p(s) be the second derivative of -s**6/165 + s**4/33 - s**2/11 + 4*s. Let p(z) = 0. Calculate z.
-1, 1
Let t(j) be the third derivative of -8*j**7/105 - j**6/6 + 7*j**5/15 + j**4/3 + 5*j**2. Factor t(p).
-4*p*(p - 1)*(p + 2)*(4*p + 1)
Let o be 0 - 0 - 18/(-81). Factor -2/9*c**2 - o - 4/9*c.
-2*(c + 1)**2/9
Let f = 306 - 306. Factor -1/3*q**3 + 1/3*q**2 + f*q + 0 + 1/3*q**5 - 1/3*q**4.
q**2*(q - 1)**2*(q + 1)/3
Let a = -24/5 - -178/35. Let -2/7*h + 0 + a*h**3 - 2/7*h**2 + 2/7*h**4 = 0. What is h?
-1, 0, 1
Let m(l) be the first derivative of -2*l**5/35 - l**4/7 + 2*l**3/7 + 20. What is s in m(s) = 0?
-3, 0, 1
Determine w, given that 0 - 1/5*w**4 - 12/5*w**2 + 6/5*w**3 + 8/5*w = 0.
0, 2
Solve 1/2*i**3 + i**4 + 0*i - 1/2*i**5 + 0 - i**2 = 0 for i.
-1, 0, 1, 2
Let o(f) = -6*f - 74. Let t be o(-13). Let k(y) be the second derivative of -1/24*y**t + 1/6*y**3 + 0 - 1/4*y**2 - 2*y. Suppose k(q) = 0. What is q?
1
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