
Suppose 0 = 3*r + 9*i - 14*i - 14, -r + 1 = 2*i. Solve 2/9 + 2/9*x - 2/9*x**r - 2/9*x**2 = 0 for x.
-1, 1
Suppose -j = 2*j - 3*v + 9, -3*v + 9 = 0. Let a = 8 - 6. Factor j*x + 1/3*x**a - 1/3.
(x - 1)*(x + 1)/3
Let v(a) be the second derivative of a**7/189 - a**6/135 - a**5/90 + a**4/54 + 22*a. Factor v(n).
2*n**2*(n - 1)**2*(n + 1)/9
Let n(d) be the third derivative of 1/16*d**5 + 1/2*d**3 - 1/4*d**4 + 0*d + 7*d**2 - 1/160*d**6 + 0. Factor n(v).
-3*(v - 2)**2*(v - 1)/4
Let f(w) be the second derivative of -2*w**7/21 - 14*w**6/15 - 2*w**5 + 2*w**4/3 + 22*w**3/3 + 10*w**2 + 6*w. Solve f(b) = 0.
-5, -1, 1
Let r(k) be the third derivative of k**6/40 - k**5/12 - 11*k**4/24 - k**3/2 + 7*k**2. Factor r(w).
(w - 3)*(w + 1)*(3*w + 1)
Let i(p) be the first derivative of p**3/5 + 3*p**2/2 + 18*p/5 - 8. Determine x so that i(x) = 0.
-3, -2
Let l(i) be the third derivative of 0*i + 1/54*i**4 + 0 - 1/27*i**3 - 2*i**2 - 1/270*i**5. Determine k so that l(k) = 0.
1
Let v(l) be the third derivative of 2*l**7/35 + l**6/8 - 19*l**5/20 + 7*l**4/8 + 3*l**3/2 + 5*l**2. Determine w, given that v(w) = 0.
-3, -1/4, 1
Let l(k) be the second derivative of 0*k**2 + 1/10*k**5 + 0*k**3 + 0*k**4 - 2*k + 0. Factor l(n).
2*n**3
Let j(k) be the third derivative of -2*k**2 - 1/1344*k**8 + 0 + 1/480*k**6 + 0*k**4 + 0*k**3 + 0*k**7 + 0*k**5 + 0*k. Factor j(x).
-x**3*(x - 1)*(x + 1)/4
Let h(s) be the third derivative of s**7/210 + s**6/40 + s**5/20 + s**4/24 + 2*s**2. Factor h(x).
x*(x + 1)**3
Let h be (4/(-10))/((-1)/5). Factor -3 - 1 - 10*y + 0*y**3 - 2*y**3 - 8*y**h + 0.
-2*(y + 1)**2*(y + 2)
Let f(p) be the first derivative of -9/14*p**2 + 7 + 0*p + 1/7*p**3. Factor f(z).
3*z*(z - 3)/7
Suppose -n - 4*a = 13, n + n = -a + 2. Suppose p + 4 = n*p. Let -k**5 + 0*k**5 + k**4 - p*k**4 = 0. Calculate k.
-1, 0
Let f(j) be the third derivative of -j**5/20 + 47*j**2. Factor f(b).
-3*b**2
Let r = 646 + -646. Factor 0 + 2/3*j**4 + r*j**2 + 0*j - 2/3*j**5 + 0*j**3.
-2*j**4*(j - 1)/3
Let h(j) be the second derivative of -j**3/3 - j**2 + 2*j. Let w be h(-2). Find d such that -2*d**2 + 2*d**2 - 8*d - 3*d**2 + d**w - 8 = 0.
-2
Let x = -1/9 - -23/45. Determine m, given that -x*m**2 + 0*m + 0 = 0.
0
Let y be 1/(1/5 - 0). Suppose -14 = -4*v - 2*j, 0*j - 15 = -y*j. Find r, given that 0*r**2 - 3*r**3 - 2*r**3 - 2*r**v = 0.
-2/5, 0
Let r be ((0/(-3))/((-1)/(-1)))/2. Find x, given that 0*x**2 - 2/7*x**3 + 2/7*x + r = 0.
-1, 0, 1
Let d be ((-27)/(-18))/((-9)/(-8)). Let d*l**2 - 2/3*l**3 + 0 - 2/3*l = 0. What is l?
0, 1
Let o = 23 - 21. Factor -6*h**3 - 3*h - 3*h + 3*h**3 + 14*h**o - 5*h**2.
-3*h*(h - 2)*(h - 1)
Let d(o) be the first derivative of -2 + 1/14*o**4 + 0*o + 2/21*o**3 + 0*o**2. Suppose d(m) = 0. What is m?
-1, 0
Let f(w) be the second derivative of -w**7/21 + w**6/5 - w**5/5 - 7*w. Determine t, given that f(t) = 0.
0, 1, 2
Let f(s) be the third derivative of 2*s**7/105 - s**6/30 - s**5/5 + 5*s**4/6 - 4*s**3/3 - 4*s**2. Determine b, given that f(b) = 0.
-2, 1
Solve 240*t - t**2 - 239*t + 0*t**2 + 1 - t**3 = 0 for t.
-1, 1
Find l such that 1/2*l - 1 + 1/2*l**2 = 0.
-2, 1
Let t(p) = -7*p**2 + 19*p - 17. Let b(v) = -3*v**2 + 10*v - 8. Let o(a) = -5*b(a) + 2*t(a). Let l be o(12). Factor -16*w**2 - 2/3 - 32/3*w**3 - l*w.
-2*(w + 1)*(4*w + 1)**2/3
Let k(s) be the second derivative of 0*s**2 - 3*s + 1/60*s**4 + 1/50*s**6 + 3/100*s**5 + 1/210*s**7 + 0 + 0*s**3. Factor k(f).
f**2*(f + 1)**3/5
Let k(u) be the third derivative of -3*u**2 + 0 + 0*u**4 + 0*u + 1/180*u**5 + 0*u**3. Let k(i) = 0. What is i?
0
Let o be -6 + (-6)/(-120)*124. Factor -o*k**2 - 2/5*k - 1/5.
-(k + 1)**2/5
Let x be 252/35 - 1/5. Let y be (-2)/x + (-12)/(-42). Factor y*s**4 - 2/9*s**5 + 0*s**2 - 2/9*s + 4/9*s**3 + 0.
-2*s*(s - 1)**2*(s + 1)**2/9
Let q(x) be the second derivative of x**7/525 - x**6/75 + 2*x**5/75 - x**2/2 - 3*x. Let u(j) be the first derivative of q(j). Factor u(n).
2*n**2*(n - 2)**2/5
Factor -5*b - 5 + 162*b**2 - 79*b**2 + 5*b**3 - 78*b**2.
5*(b - 1)*(b + 1)**2
Suppose 5*f + 5*l + 4 = -6, 0 = -4*l - 16. Factor 3*z**2 - 2*z**2 + 0*z**f + 2*z + 1.
(z + 1)**2
Let s(k) = k**4 + k**2 + k - 1. Let v(y) = -y**5 + 6*y**4 - 2*y**3 + y**2 + 6*y - 4. Let r(o) = -6*s(o) + 2*v(o). Factor r(c).
-2*(c - 1)**4*(c + 1)
Let r(d) be the first derivative of -3/5*d**5 + 0*d**2 + 8 + 0*d + 0*d**4 + d**3. What is x in r(x) = 0?
-1, 0, 1
Let h be (-11)/(-2) - (-4)/(-8). Let p be h/(-4) + (0 - -2). Factor 3/4*l + p*l**2 + 1/4*l**3 + 1/4.
(l + 1)**3/4
Let h(x) = 0*x**3 + 10 + 6*x**3 - 5*x**3 - 2*x + 7*x**2 + 3*x. Let t be h(-7). Factor 1/3*r + 1/3*r**t - 2/3*r**2 + 0.
r*(r - 1)**2/3
Let r(p) be the first derivative of p**6/60 + p**5/10 + p**4/4 + p**3/3 - 4*p**2 + 3. Let c(k) be the second derivative of r(k). Factor c(a).
2*(a + 1)**3
Let p(w) be the second derivative of -3*w**5/100 - 7*w**4/60 - w**3/6 - w**2/10 - 12*w. Let p(g) = 0. Calculate g.
-1, -1/3
Find k, given that -1/2*k**4 + 1/6*k**5 - 1/6*k**2 + 1/2*k**3 + 0 + 0*k = 0.
0, 1
Suppose -5/3*z + 4/9 - 4/9*z**2 = 0. What is z?
-4, 1/4
Let x(i) be the third derivative of i**5/210 - 4*i**4/21 + 64*i**3/21 - 19*i**2. Let x(s) = 0. Calculate s.
8
Let w = 1 + -3/5. Factor w + 2/5*x**2 + 4/5*x.
2*(x + 1)**2/5
Let p(g) be the third derivative of 1/150*g**5 - 1/525*g**7 + 1/60*g**4 + 0 + 0*g + 0*g**3 - 1/100*g**6 - 2*g**2 + 1/420*g**8. Let p(z) = 0. Calculate z.
-1, -1/2, 0, 1
Let g be ((-2)/(-8))/(36/192). Let u(l) be the third derivative of -l**2 + 0*l + 0 + g*l**3 + 1/30*l**5 + 1/3*l**4. Factor u(w).
2*(w + 2)**2
Let t(a) = -10*a**2 - 10*a + 5. Let z(k) = -k**3 - 11*k**2 - 10*k + 6. Let g(v) = -6*t(v) + 5*z(v). Suppose g(h) = 0. What is h?
-1, 0, 2
Solve -5*s**5 - s**4 - 3*s**3 - s**5 + 7*s**5 + 2*s - s**2 + 2*s**2 = 0.
-1, 0, 1, 2
Factor -3/4*y**3 - 15/2*y - 21/4*y**2 + 0.
-3*y*(y + 2)*(y + 5)/4
Let g be 12/(-14)*3/(-9). Let a = 120/469 - -2/67. Factor 4/7*p + g + a*p**2.
2*(p + 1)**2/7
Let y(w) be the third derivative of w**5/180 - w**4/12 + w**3/2 + 4*w**2. Factor y(o).
(o - 3)**2/3
Let x be 9/(-24) - (-57)/24. Find c such that 0*c - 1/6*c**x - 1/6*c**4 - 1/3*c**3 + 0 = 0.
-1, 0
Let j(l) be the third derivative of -2*l**2 - 1/20*l**5 - 1/105*l**7 + 0 + 0*l**3 - 3/80*l**6 - 1/48*l**4 + 0*l. Let j(w) = 0. Calculate w.
-1, -1/4, 0
Let v(j) be the third derivative of 0*j**3 + 0 - 1/240*j**5 + 0*j + 2*j**2 - 1/96*j**4. Factor v(c).
-c*(c + 1)/4
Let a(q) be the first derivative of q**6/24 + 7*q**5/20 + 5*q**4/8 - 3*q**3/2 - 27*q**2/8 + 27*q/4 - 32. Solve a(w) = 0.
-3, 1
Factor -9/2 + 5/2*r**2 - 1/2*r**3 - 3/2*r.
-(r - 3)**2*(r + 1)/2
Let l = 19 + -16. Factor l*i**4 - 4*i**2 + 2*i**3 + 0*i**2 - 6*i**3.
i**2*(i - 2)*(3*i + 2)
Let k(z) be the second derivative of 3/2*z**4 + 2/3*z**3 + 0 + 2*z + 7/5*z**5 + 0*z**2 + 3/5*z**6 + 2/21*z**7. Suppose k(i) = 0. What is i?
-2, -1, -1/2, 0
Let y(z) be the second derivative of z**7/10080 - z**6/1440 + z**4/4 - 3*z. Let j(n) be the third derivative of y(n). Factor j(g).
g*(g - 2)/4
Let y = 2 + -1. Let t(h) = h - 1. Let n(g) be the first derivative of -g**3/3 - 3*g**2 + 3*g - 7. Let l(r) = y*n(r) + 4*t(r). Determine b so that l(b) = 0.
-1
Let 2/9*s**4 + 10/9*s**2 - 8/9*s**3 - 4/9*s + 0 = 0. What is s?
0, 1, 2
Let i(p) = 2*p**2 + 14*p - 28. Let g(f) = 5*f**2 + 28*f - 58. Let d(t) = -4*g(t) + 9*i(t). Let d(o) = 0. Calculate o.
2, 5
Let d(n) = 4*n**2 - 5*n + 3. Let x(i) = 0*i**2 - 6 + 0 + 11*i - 1 - 7*i**2. Let z(b) = -7*d(b) - 3*x(b). Factor z(q).
-q*(7*q - 2)
Let y = -7/2 - -15/4. Determine s, given that -s + 1 + y*s**2 = 0.
2
Let w(m) be the second derivative of -m**7/21 + m**6/3 - 4*m**5/5 + 2*m**4/3 - 3*m. Let w(k) = 0. Calculate k.
0, 1, 2
Let i(w) be the third derivative of 0 + 2*w**2 - 1/6*w**3 + 0*w + 1/24*w**4. Let y(n) = n**2 - 2*n + 5. Let p(c) = -4*i(c) - y(c). What is j in p(j) = 0?
-1
Let t be ((-3)/10)/(-7 + (-150)/(-24)). Let -t*k + 0 + 8/5*k**2 = 0. Calculate k.
0, 1/4
Let j(x) = -x**4 - x**3 + x + 1. Let t(m) = -2*m**5 + 3*m**4 + 7*m**3 + m**2 - 5*m - 4. Let a(n) = -4*j(n) - t(n). Factor a(v).
v*(v - 1)*(v + 1)**2*(2*v - 1)
Let y(v) = -v - 6. Let p be y(-5). Let w(u) = 3*u**2 - 6*u**2 + u + 4*u**2. Let z(j) = -8*j**3 + 2*j. Let b(h) = p*z(h) + 2*w(h). Factor b(c).
2*c**2*(4*c + 1)
Let k be (-4)/(-6)*6/14. Let c(p) be the second derivat