7/25 - -1/50. Factor z - 1/2*u**2 - u.
-(u - 1)*(u + 3)/2
Suppose -5*v - 11 + 16 = 0. Let u(w) be the first derivative of -8/5*w - 2/15*w**3 - v + 4/5*w**2. Let u(m) = 0. What is m?
2
Let t(p) be the third derivative of 0*p + 3*p**2 + 0 - 1/3*p**3 - 1/60*p**5 + 1/8*p**4. Factor t(n).
-(n - 2)*(n - 1)
Let y(g) = 42*g**3 - 25*g**2 - 7*g - 5. Let l(p) = -63*p**3 + 37*p**2 + 10*p + 8. Let c(z) = 5*l(z) + 8*y(z). Suppose c(m) = 0. What is m?
-2/7, 0, 1
Let f(j) be the first derivative of -j**5/5 + j**4/4 + 2*j**3/3 - 16. Suppose f(n) = 0. What is n?
-1, 0, 2
Let i(o) be the second derivative of o**8/168 + o**7/105 - o**6/60 - o**5/30 + 3*o**2/2 - 7*o. Let q(u) be the first derivative of i(u). Factor q(r).
2*r**2*(r - 1)*(r + 1)**2
Let i(n) be the third derivative of n**5/480 - n**4/48 + n**3/12 - 25*n**2. Factor i(y).
(y - 2)**2/8
Let a(s) be the third derivative of s**5/140 + s**4/28 + 6*s**2. Find h such that a(h) = 0.
-2, 0
Let o(r) = -r**2 - r + 2. Let l(g) = 3*g**2 + g - 4. Let u(s) = 4*l(s) + 10*o(s). Solve u(j) = 0.
1, 2
Let m = 0 - 4. Let r be (-3)/((-18)/m)*-6. Suppose 1/4*w**3 + 0 + 0*w + 0*w**2 + 1/4*w**5 + 1/2*w**r = 0. What is w?
-1, 0
Factor -3*i**3 - 4*i + 4*i - 14 + 5 + 9*i**2 + 3*i.
-3*(i - 3)*(i - 1)*(i + 1)
Let j(f) = f**5 + f**3 - f**2 - 1. Let q(n) = 10*n**4 - 8*n**3 - 12*n**2 + 12*n - 2. Let p(t) = -2*j(t) + q(t). Solve p(d) = 0.
-1, 0, 1, 2, 3
Suppose -3*d + 0*d + 21 = 3*f, -3*f + 18 = 2*d. Factor 3*c - 18 + 9*c**2 + 18 - 12*c**d.
-3*c*(c - 1)*(4*c + 1)
Let t(u) be the second derivative of 4*u + 0*u**3 + 0*u**2 + 1/20*u**5 + 0*u**4 + 0. Determine y, given that t(y) = 0.
0
Factor 6*p**2 + 0 + 24 - 73*p - 3*p**2 + 43*p + 3*p**3.
3*(p - 2)*(p - 1)*(p + 4)
Let i(u) be the first derivative of 2*u**3/39 + u**2/13 - 4*u/13 - 38. Solve i(c) = 0.
-2, 1
Suppose 0 = -4*v + 2*l + 68, 2*v - 4*l - 22 = -0*v. Determine z, given that 34*z - 36*z**2 + v*z + 9*z**3 - 29*z + 9*z**3 - 3*z**4 = 0.
0, 2
Factor -32 - 33*q**3 - 3*q**2 - 21*q**2 + 2*q**4 - 56*q + 35*q**3.
2*(q - 4)*(q + 1)*(q + 2)**2
Let n = 34 + -34. Let x(f) be the second derivative of -1/18*f**4 + n + 1/9*f**3 + 2/3*f**2 - f. Find l such that x(l) = 0.
-1, 2
Factor 8/7*x**3 + 0*x + 0 - 10/7*x**2 + 2/7*x**4.
2*x**2*(x - 1)*(x + 5)/7
Let f(r) be the third derivative of -r**8/1344 + r**7/840 + r**6/480 - r**5/240 + 2*r**2. Factor f(b).
-b**2*(b - 1)**2*(b + 1)/4
Factor -4/5*i**3 - 192/5*i - 48/5*i**2 - 256/5.
-4*(i + 4)**3/5
Let y(u) be the third derivative of u**6/120 + 7*u**5/60 + 7*u**4/24 + 3*u**3/2 - 3*u**2. Let l be y(-6). Let 4*x**3 - x**3 - 2*x**l + x**3 = 0. What is x?
0
Suppose -3*f = 2*f - 15. Suppose 5*v = f*q + 16, 0 = -5*v + 4*q - 3*q + 12. Factor 2*m - 3*m**3 - 3*m**v - 4*m**3 + 2*m**3.
-m*(m + 1)*(5*m - 2)
Suppose -2 + 12*n + 265*n**2 + 3*n**3 - 277*n**2 + 2 = 0. Calculate n.
0, 2
Let w(p) be the third derivative of p**7/2310 + p**6/440 + p**5/660 - p**4/88 - p**3/33 + 43*p**2. Solve w(i) = 0 for i.
-2, -1, 1
Let k(c) be the second derivative of 0*c**4 + 0*c**2 + c + 0 + 1/10*c**5 - 1/3*c**3. Determine m so that k(m) = 0.
-1, 0, 1
Suppose 8 = -g - 3*f + 5*f, -4*g - 3*f = -23. Let q be g/(-6) + (-1)/(-3). Factor h**2 + 0*h**2 - 2*h**2 + q*h**2.
-h**2
Let f(i) = i**3 - 4*i**2 - 3*i - 6. Let u be f(5). Suppose 0 = -n + 2*n + 3*g + 7, -u*g - 10 = n. Factor -2*a**3 + n + 2*a + 4*a**2 - 4*a**2 - 2*a**2.
-2*(a - 1)*(a + 1)**2
Suppose -3*k + k + 4 = 0. Let k*b - b - b**2 - b - b = 0. What is b?
-1, 0
Find z, given that -2/9*z**4 - 2/9*z**3 + 2/9*z**2 + 2/9*z + 0 = 0.
-1, 0, 1
Let f(i) = 5*i**5 - 9*i**4 + 4*i**2 - 3*i - 3. Let x(a) = -11*a**5 + 19*a**4 - 8*a**2 + 5*a + 5. Let k(t) = -5*f(t) - 3*x(t). Factor k(h).
4*h**2*(h - 1)**2*(2*h + 1)
Let f = 164 + -162. Let s(x) = -x + 12. Let v be s(9). Solve 2/7*o**v - 2/7*o**f - 4/7*o + 0 = 0.
-1, 0, 2
Let o(s) be the second derivative of -s**5/70 - s**4/14 - s**3/7 - s**2/7 + 5*s. Determine r, given that o(r) = 0.
-1
Suppose 64/13*u**2 + 48/13*u**3 + 2/13*u**5 + 32/13*u + 16/13*u**4 + 0 = 0. Calculate u.
-2, 0
Let h = 1/103 - -201/515. Let p(s) be the first derivative of 2/15*s**3 - 4 + 2/5*s**2 + h*s. What is j in p(j) = 0?
-1
Suppose -19*g = -40 - 17. Let f(p) be the third derivative of 0 + 0*p + 1/105*p**7 - 4*p**2 - 1/12*p**4 - 2/9*p**g + 1/30*p**5 + 7/180*p**6. Factor f(h).
2*(h + 1)**3*(3*h - 2)/3
Let d = -5/2 - -13/5. Let b(a) be the second derivative of 1/6*a**3 + 1/42*a**7 + 1/2*a**2 + 2*a - 1/6*a**4 + 1/30*a**6 - d*a**5 + 0. Solve b(z) = 0 for z.
-1, 1
Let v(t) = -27*t**5 - 17*t**4 + 10*t**3 + 2*t**2 + 2*t. Let a(g) = g**5 + g**4 - g**2 - g. Let d(l) = -2*a(l) - v(l). Factor d(o).
5*o**3*(o + 1)*(5*o - 2)
Let w(p) be the second derivative of -p**5/50 + p**4/5 - 4*p**3/5 + 8*p**2/5 - 14*p. Factor w(d).
-2*(d - 2)**3/5
Let n = 53/630 + -1/35. Let y(l) be the second derivative of 0*l**5 + n*l**4 + 0*l**3 - 1/6*l**2 + 0 + 3*l - 1/90*l**6. Determine b, given that y(b) = 0.
-1, 1
Let x(t) = -t**4 + t**3 - t**2 + t - 1. Let y(l) = -8*l**4 + 8*l**3 - 6*l**2 + 6*l - 7. Let f(u) = -21*x(u) + 3*y(u). Let f(m) = 0. What is m?
-1, 0, 1
Suppose -3 = -3*s + 2*s. Let z = 5 - s. Factor j + j**4 + z*j - 2*j**2 - j**3 + j**2 - 2*j.
j*(j - 1)**2*(j + 1)
Factor 0*h**3 + 5*h - 7*h**3 + 2*h**3.
-5*h*(h - 1)*(h + 1)
Factor 0 - 2/5*g**2 - 4/5*g + 16/5*g**3 - 2*g**4.
-2*g*(g - 1)**2*(5*g + 2)/5
Let w(c) be the third derivative of -c**5/240 - c**4/32 - c**3/12 + 7*c**2. Find k, given that w(k) = 0.
-2, -1
Let q be (2*-1*1)/((-77)/44). Factor 2/7*o**3 - q + 0*o + 6/7*o**2.
2*(o - 1)*(o + 2)**2/7
Let o(l) = 2*l - 8. Let z be o(5). Find q such that 0 + 2/3*q**4 + 2/3*q**5 + 0*q**3 + 0*q + 0*q**z = 0.
-1, 0
Suppose 2*g - 8 + 3 = -5*q, -4*g - q + 1 = 0. Solve 1/5*l**4 + 0*l + g - 1/5*l**3 - 1/5*l**2 + 1/5*l**5 = 0.
-1, 0, 1
Let u(n) be the first derivative of 2/15*n**5 + 6 + 0*n**2 - 4/9*n**3 + 2/3*n + 0*n**4. Determine x, given that u(x) = 0.
-1, 1
Let h(z) = -z**2 - z + 5. Let d be h(0). Suppose -b + 8 = 3*a, 0 = -a + 2*b + d. Let -4/3*m**a + 8/9*m**2 - 2/9*m**5 - 2/9*m + 8/9*m**4 + 0 = 0. Calculate m.
0, 1
Suppose 0 = -19*y + 22*y. Factor y*c + 2/3*c**5 + 2/3*c**4 + 0 - 2/3*c**2 - 2/3*c**3.
2*c**2*(c - 1)*(c + 1)**2/3
Let l(x) be the third derivative of 0*x**3 - 1/20*x**6 + 0*x - 1/20*x**5 + 0 + 1/70*x**7 + 1/4*x**4 - 8*x**2. Factor l(b).
3*b*(b - 2)*(b - 1)*(b + 1)
Let h(n) be the second derivative of n**7/420 - n**6/45 - 3*n**3/2 + 5*n. Let g(s) be the second derivative of h(s). Find k, given that g(k) = 0.
0, 4
Solve -20*m**4 + 55*m**3 - 80*m - 24*m**2 + 39*m**2 - 8 - 4 - 8 = 0.
-1, -1/4, 2
Let s(b) be the third derivative of -5*b**8/1008 - b**7/126 + b**6/72 + b**5/36 - 19*b**2. Suppose s(o) = 0. What is o?
-1, 0, 1
Let 4/5 - 36/5*n**3 + 77/5*n**2 - 81/5*n**4 + 36/5*n = 0. Calculate n.
-1, -2/9, 1
Suppose 6 = -0*i + 2*i. Let k(z) = z**3 - z - 4. Let o(n) be the first derivative of n**4/4 - n**2/2 - 3*n + 1. Let g(t) = i*k(t) - 4*o(t). Factor g(p).
-p*(p - 1)*(p + 1)
Let m be -11*(1 - 2) - -1. Suppose k + 3*y - m = 0, -4*k + 0*y - 12 = -3*y. What is g in -2/9*g**2 + k + 0*g - 2/9*g**3 = 0?
-1, 0
Let g(v) be the first derivative of -v**2 - v - 2. Let y be g(-2). Factor -6*q + 6*q - q**y.
-q**3
Let s = -53 + 57. Let n(g) be the second derivative of 1/6*g**s - g**2 + 1/5*g**5 + 0 - 2/3*g**3 - 2*g. Find x, given that n(x) = 0.
-1, -1/2, 1
Let k(h) be the second derivative of -h**6/105 + h**4/7 - 8*h**3/21 + 3*h**2/7 - 18*h. Let k(x) = 0. What is x?
-3, 1
Suppose -3*y + 10 = -2*y. Let u be (2 + 4)*(0 - (-3)/9). Factor -8/5 + 8*b - y*b**u.
-2*(5*b - 2)**2/5
Let k(c) be the first derivative of -c**7/70 - c**6/24 - c**5/30 - 2*c**2 - 4. Let a(m) be the second derivative of k(m). Find n, given that a(n) = 0.
-1, -2/3, 0
Factor 2/15 - 2/15*j + 2/15*j**3 - 2/15*j**2.
2*(j - 1)**2*(j + 1)/15
Suppose 4*o - 1 = -3*y, -2*y + 4*y - o = 8. Let p be 1*((1 - 2) + y). What is t in 4*t - 6*t + 5*t + t**2 + p = 0?
-2, -1
Let l(n) = 9*n**3 - 5*n**2 + 6*n - 3. Let c(j) = -36*j**3 + 19*j**2 - 22*j + 11. Let b(d) = 6*c(d) + 22*l(d). Factor b(r).
-2*r**2*(9*r - 2)
Let z(a) be the first derivative of -4 + 2/15*a**3 - 1/5*a**2 + 1/10*a**4 + 0*a - 2/25*a**5. Factor z(g).
-2*g*(g - 1)**2*(g + 1)/5
Let a(u) = -u**3 - 17*u**2 + u + 21. Let o be a(-17). Let b(w) be the second 