*l**2 = 0.
-3, -2
Solve -1/3*s + 1/3*s**2 - 2 = 0 for s.
-2, 3
Let f(z) = -3*z**3 + 6*z**3 - 2*z**2 - 2*z**2 - 2*z**3 - 5*z. Let q be f(5). Factor q*b + 2*b**2 + 9/2*b**4 + 0 - 6*b**3.
b**2*(3*b - 2)**2/2
Let w(y) be the second derivative of 0 + 1/48*y**4 - 1/120*y**6 + 0*y**2 + 1/80*y**5 - 1/168*y**7 + 3*y + 0*y**3. Factor w(k).
-k**2*(k - 1)*(k + 1)**2/4
Let l(t) be the first derivative of 1/4*t**2 + t - 1/24*t**4 + 0*t**3 - 2. Let v(d) be the first derivative of l(d). Factor v(k).
-(k - 1)*(k + 1)/2
Determine n so that 2/13*n**2 + 26 + 4*n = 0.
-13
Let t(h) be the second derivative of h + 0 + 2/3*h**3 + 1/6*h**4 + 0*h**2. Factor t(w).
2*w*(w + 2)
Let f be 8/20 + 4/(-10). Let a(v) be the third derivative of 0 + 0*v - 1/180*v**5 + f*v**4 + 1/18*v**3 + 2*v**2. Factor a(z).
-(z - 1)*(z + 1)/3
Factor -1/2*x**3 + 3/2*x**2 + 1/2 - 3/2*x.
-(x - 1)**3/2
Let y(t) be the third derivative of 2*t**7/105 + t**6/60 + t**5/15 + t**4/4 + 2*t**2. Let n(g) = -g**4 - g**3 - g**2 - g. Let z(l) = 6*n(l) + y(l). Factor z(o).
-2*o**2*(o + 1)**2
Let s(i) = -25*i**3 - 80*i**2 + 70*i + 45. Let j(c) = -25*c**3 - 81*c**2 + 70*c + 44. Let x(q) = 5*j(q) - 4*s(q). Find b, given that x(b) = 0.
-4, -2/5, 1
Factor 0*a + 2*a - 1747 + 2*a**2 + 1743.
2*(a - 1)*(a + 2)
Let y(u) be the third derivative of 0*u**3 + 1/210*u**7 + 1/120*u**6 + 0*u**4 + 0 + 2*u**2 + 0*u**5 + 0*u. Factor y(t).
t**3*(t + 1)
Let y = -351/4 + 88. Factor -y*b**2 + 0 - 1/4*b.
-b*(b + 1)/4
Let t(r) be the second derivative of -r**2 + 2/27*r**3 - 2*r + 1/108*r**4 - 1/270*r**5 + 0. Let y(g) be the first derivative of t(g). Solve y(k) = 0.
-1, 2
Let i be 5*2 - (36 + -32). What is s in 3/2*s**4 + 3*s + 15/2*s**2 + i*s**3 + 0 = 0?
-2, -1, 0
Factor -6/7*f**2 + 0*f + 1/7*f**3 + 0.
f**2*(f - 6)/7
Let u = 3 + 1. Suppose -n + u = -0. Let l(v) = 13*v**2 - v. Let o(k) = 6*k**2. Let d(s) = n*l(s) - 9*o(s). Determine c so that d(c) = 0.
-2, 0
Let i = -9 - -12. Let l(b) be the second derivative of -9/80*b**5 + 0 - 1/8*b**i + 0*b**2 + 1/40*b**6 - 3*b + 3/16*b**4. Determine z so that l(z) = 0.
0, 1
Let w(o) = -3*o**2 + 6*o - 3. Let h = 16 - 11. Let c = -10 + h. Let p(m) = 2*m**2 - 4*m + 2. Let j(v) = c*w(v) - 8*p(v). What is i in j(i) = 0?
1
Let u be 13 - -3*2/(-6). Factor u*l**4 + 4*l**4 - 15*l**4 - 2*l**3 + l**2.
l**2*(l - 1)**2
Let y(w) be the first derivative of -5*w**3/12 + 5*w**2/2 + 15. Let y(j) = 0. What is j?
0, 4
Let o(a) be the first derivative of -5/3*a**2 - 1/2*a**4 + 1/15*a**5 + 3 + 4/3*a**3 + a. Suppose o(f) = 0. What is f?
1, 3
Let y(f) = 2*f - 1. Let n be y(2). Factor -1/2*v**n + 0*v + v**2 + 0.
-v**2*(v - 2)/2
Let p(f) be the third derivative of -f**6/840 + 3*f**5/140 - 9*f**4/56 + 9*f**3/14 + 8*f**2. Factor p(l).
-(l - 3)**3/7
Let y be 0/8*(0 + -1). Let q(l) be the third derivative of 0*l**5 + 0*l + 1/672*l**8 + 1/48*l**4 + 4*l**2 - 1/120*l**6 + y*l**7 + 0 + 0*l**3. Factor q(k).
k*(k - 1)**2*(k + 1)**2/2
Let w(k) be the second derivative of -17*k**5/50 - 19*k**4/30 + 32*k**3/15 + 4*k**2/5 + 3*k. Determine g, given that w(g) = 0.
-2, -2/17, 1
Let k = -14564/51 - -7802144/27285. Let z = k - -2/107. Factor 1/5*h**4 + 0*h + 1/5*h**2 + z*h**3 + 0.
h**2*(h + 1)**2/5
Let u = -61 - -185/3. Let g(r) be the first derivative of 0*r + 0*r**2 + u*r**3 + 1 - 1/2*r**4. Suppose g(c) = 0. Calculate c.
0, 1
Let f = -955/4 - -239. Let 1 - f*a**2 - a + 1/4*a**3 = 0. Calculate a.
-2, 1, 2
Factor 1/2 + 1/2*x**3 - 1/2*x - 1/2*x**2.
(x - 1)**2*(x + 1)/2
Let k be (8/16)/(1/8). Factor 3*v**3 - 3*v - v**3 + v**3 + 0*v**3 + 3*v**2 - 3*v**k.
-3*v*(v - 1)**2*(v + 1)
Let g(q) = q**2 + q - 1. Let r(l) = -5*l**2 - 8*l + 6. Let x(n) = 6*g(n) + r(n). Let x(k) = 0. Calculate k.
0, 2
Let w be ((-2)/30)/(6/(-18)). Factor w - 1/5*u**3 - 3/5*u + 3/5*u**2.
-(u - 1)**3/5
Let q(m) be the second derivative of -m**7/1365 + m**6/260 - m**4/39 - 7*m**2/2 - 4*m. Let d(o) be the first derivative of q(o). Factor d(c).
-2*c*(c - 2)**2*(c + 1)/13
Let k(x) be the first derivative of 0*x**2 - 3 + 0*x - 2/21*x**3 - 1/14*x**4. Factor k(f).
-2*f**2*(f + 1)/7
Let h(w) = -w**4 - w**2 + w. Let s(u) be the second derivative of u**6/5 - u**3/2 - 4*u. Let b(k) = -3*h(k) - s(k). Let b(v) = 0. What is v?
-1, 0, 1
Suppose -10*c = 4*c - 42. Determine w, given that 1/4*w**c + 0*w + 0 - 1/4*w**2 = 0.
0, 1
Let q(f) = -7*f**2 + 9*f - 7. Let o(i) = i**2 + 8*i - 9. Let b be o(-10). Let j = 6 - b. Let a(k) = -3*k**2 + 4*k - 3. Let g(x) = j*a(x) + 2*q(x). Factor g(y).
(y - 1)**2
Let c(n) = n**2 - 5*n + 6. Let a be c(5). Let b = -6 + a. Factor 0*w**2 - 2/3*w**3 + b*w + 0.
-2*w**3/3
Let h(a) = 6*a - 120. Let s be h(20). Factor 0 - 4/11*y**3 + 2/11*y**4 + s*y + 2/11*y**2.
2*y**2*(y - 1)**2/11
Let t(g) = 10*g - 30. Let a be t(3). Find n such that 8*n**3 + 1/3*n - 16/3*n**4 - 3*n**2 + a = 0.
0, 1/4, 1
Let m(g) be the second derivative of g**10/30240 + g**9/15120 + g**4/6 + 2*g. Let u(j) be the third derivative of m(j). Factor u(x).
x**4*(x + 1)
Let n = 223 - 659/3. Solve 4/3 - n*r - 2/3*r**3 + 8/3*r**2 = 0.
1, 2
Let m be 18/(-10)*60/(-18). Let l(d) be the second derivative of 5/24*d**4 - 1/4*d**2 - 3/40*d**5 + 0 - 1/15*d**m + 2*d + 1/4*d**3. Solve l(y) = 0 for y.
-1, 1/4, 1
Let -2/7*h**3 + 0 - 6/7*h**2 + 4/7*h - 2/7*h**5 + 6/7*h**4 = 0. Calculate h.
-1, 0, 1, 2
Suppose 21*v = 30*v - 36. Determine o, given that 1/5*o**2 + 2/5*o**3 + 0*o + 0 + 1/5*o**v = 0.
-1, 0
Let z = -54 + 59. Let d(i) be the first derivative of 0*i - 1/20*i**z + 0*i**2 + 0*i**4 + 1/12*i**3 + 1. What is o in d(o) = 0?
-1, 0, 1
Let w = 442 + -437. Let 0*q + 0*q**2 + 0 + 2/7*q**w + 0*q**3 + 0*q**4 = 0. What is q?
0
Let g be 9/(-81) + (-44)/(-72). Suppose -3/2*b**2 + 3/2*b - g + 1/2*b**3 = 0. What is b?
1
Let q be (1 + -1)/((-2)/(-2) + 1). What is x in q - 1/4*x**2 + 0*x = 0?
0
Let w(l) = 3*l**2 + 2*l - 1. Let g(z) = 3*z - 5*z + 6*z - 5*z - z**2. Let j(d) = 4*g(d) + w(d). Suppose j(r) = 0. What is r?
-1
Let z(l) = l**4 - 6*l**2 + 11*l. Let j(f) = -f - 1. Let i(x) = x**2 + 6*x - 3. Let u be i(-6). Let q(w) = u*j(w) - z(w). Factor q(n).
-(n - 1)**3*(n + 3)
Let x(z) be the first derivative of -z**7/560 - z**6/240 + z**5/80 + z**4/16 - 4*z**3/3 + 5. Let s(y) be the third derivative of x(y). Let s(g) = 0. What is g?
-1, 1
Suppose 6*u - 1 = 11. Factor 1/4*h**u + 1/4*h**3 + 0*h + 0.
h**2*(h + 1)/4
Let h(u) be the third derivative of -u**8/560 - u**7/70 - u**6/20 - u**5/10 - u**4/8 + u**3 - 6*u**2. Let d(i) be the first derivative of h(i). Factor d(z).
-3*(z + 1)**4
Let s(h) = h**3 - 9*h**2 - h + 12. Let q be s(9). Let o(n) be the second derivative of -n**2 + n**q + 0 - 1/2*n**4 + 1/10*n**5 - n. Find c, given that o(c) = 0.
1
Factor -3/2*i**4 + 1/2*i**5 + 0 + 0*i**2 + 0*i + i**3.
i**3*(i - 2)*(i - 1)/2
Let j(m) = -2*m - 6. Let t be j(-13). Suppose -q + t = 4*q. Suppose -20*g**3 + 2*g**5 + 2 - q*g**5 - 10*g + 20*g**2 + 0*g**5 + 10*g**4 + 0 = 0. What is g?
1
Factor 0*s**2 - 1/6*s**3 + 0*s + 0 + 1/6*s**4.
s**3*(s - 1)/6
Find l, given that 4/7*l**2 + 12/7 - 20/7*l + 4/7*l**3 = 0.
-3, 1
Let d = 1000 + -997. Factor 0*v**2 - 2/3*v**4 + 0*v + 0 - 4/3*v**d.
-2*v**3*(v + 2)/3
Solve 6/5*g**2 - 24/5 + 0*g = 0 for g.
-2, 2
Factor -2/5*m**4 + 0 + 0*m + 0*m**2 - 1/5*m**5 - 1/5*m**3.
-m**3*(m + 1)**2/5
Let s(c) = -c**2 - 17*c. Let n(v) = 4*v. Let z(x) = -9*n(x) - 2*s(x). Factor z(w).
2*w*(w - 1)
Solve -432/5*t - 4/5*t**3 - 864/5 - 72/5*t**2 = 0.
-6
Let v = 4/23 + 7/92. Let s be (-3)/(-12) - 1/(-4). Find f, given that -1/4 + s*f - v*f**2 = 0.
1
Let u(s) be the second derivative of s**7/105 + s**6/75 - s**5/25 - s**4/15 + s**3/15 + s**2/5 + 5*s. Let u(r) = 0. Calculate r.
-1, 1
Suppose 6*q = 2*q + 28. Let g = q + -4. Factor -4*n**2 + 0*n**3 - 4*n**2 - n**4 - 4*n - 5*n**g.
-n*(n + 1)*(n + 2)**2
Let i = 1 - 0. Let w be 0 - (-2 + -2 + i). Factor -2 - 4*a**4 + 4*a + w*a**3 - 3*a**5 - 5*a + a**3 + 6*a**2.
-(a - 1)*(a + 1)**3*(3*a - 2)
Let x(n) be the second derivative of n**7/63 + n**6/45 - n**5/10 - 5*n**4/18 - 2*n**3/9 - 8*n. Factor x(f).
2*f*(f - 2)*(f + 1)**3/3
Factor 11*x**3 - 8 - 3*x**3 + 10*x**4 + 24*x + 4*x**3 - 26*x**2 - 12*x**4.
-2*(x - 2)**2*(x - 1)**2
Suppose -58 = -3*w + 68. Let h be (-7)/(w/(-4))*6. Suppose 6*c**h + 2*c**4 - 2*c**5 - 6*c**4 = 0. Calculate c.
0, 1
Let h(m) = 25*m - 125. Let n be h(5). Factor n + 0*d + 1/3*d**2.
d**