o(d).
2*d*(4*d - 1)/5
Suppose n + 4*n - 9 = -3*q, -3*q = -3*n - 9. What is x in -1/2*x**4 + x**q + 0*x + 0*x**2 + 0 = 0?
0, 2
Factor 0 - 15/2*s**2 - 3/2*s**3 + 0*s.
-3*s**2*(s + 5)/2
Let c(z) be the second derivative of -5/4*z**4 + 0*z**2 - z**3 - 2*z + 0. Let c(a) = 0. Calculate a.
-2/5, 0
Let u = -2/1291 + 11623/2582. Factor -6*t + 3/2*t**2 + u.
3*(t - 3)*(t - 1)/2
Let y(a) be the third derivative of 0*a**3 + 0*a + 1/75*a**6 + 1/150*a**5 + 0*a**4 + 1/175*a**7 + a**2 + 0. Suppose y(u) = 0. What is u?
-1, -1/3, 0
Let v = 7/40 + 13/8. Factor -2/5 + 7/5*c + v*c**2.
(c + 1)*(9*c - 2)/5
Let x(b) be the first derivative of -b**4/10 - 2*b**3/15 + 2*b**2/5 - 22. Let x(u) = 0. What is u?
-2, 0, 1
Let w be ((-6)/9)/((-20)/90). Let q(r) be the first derivative of 0*r**w + 3 + 0*r + 1/12*r**4 - 1/15*r**5 + 0*r**2. Solve q(x) = 0.
0, 1
Suppose 10*j = 6*j. Let f(n) be the first derivative of 0*n**2 - 2/15*n**3 - 1/10*n**4 + j*n + 2. Suppose f(w) = 0. What is w?
-1, 0
Suppose 4*k - 5*l - 24 = 0, k + 4*l - 3 = 3. Suppose 21 = 5*o + k. Factor 0 + 7/3*h**4 + 0*h + 5/3*h**o + h**5 + 1/3*h**2.
h**2*(h + 1)**2*(3*h + 1)/3
Let x(l) be the first derivative of -l**4/8 - l**3 - 3*l**2 - 4*l - 21. Factor x(a).
-(a + 2)**3/2
Let y(r) be the first derivative of r**5/270 + r**4/36 + 2*r**3/27 - 4*r**2 + 5. Let o(x) be the second derivative of y(x). Find c such that o(c) = 0.
-2, -1
Find b such that -94/7*b**3 - 104/7*b - 18/7*b**4 - 164/7*b**2 - 16/7 = 0.
-2, -1, -2/9
Let y(m) be the third derivative of m**5/450 + m**4/60 + 2*m**3/45 + 12*m**2. Factor y(d).
2*(d + 1)*(d + 2)/15
Let c(q) be the first derivative of 1 + 0*q + 2/3*q**3 + 0*q**2 + 0*q**4 - 1/360*q**6 + 1/60*q**5. Let j(k) be the third derivative of c(k). Factor j(m).
-m*(m - 2)
Let k = -813 - -816. Factor 0 + 4/9*r**k + 2/3*r**2 + 2/9*r.
2*r*(r + 1)*(2*r + 1)/9
Let y = -27 - -34. Factor 2*o**3 - 5*o**3 + 3*o + 7 - y.
-3*o*(o - 1)*(o + 1)
Let l(p) = -p**2 + 9*p + 25. Let g be l(11). Factor -4/9*n - 8/9*n**g - 14/9*n**2 + 2/9.
-2*(n + 1)**2*(4*n - 1)/9
Let k(c) be the third derivative of 5*c**7/168 - c**6/32 - 11*c**5/24 + 5*c**4/8 + 5*c**3/3 + 13*c**2. Find x, given that k(x) = 0.
-2, -2/5, 1, 2
Let a be 0/(3 - 10/(-25)*-5). Suppose 2/5*j**4 - 8/5*j**5 + 0*j + a + 8/5*j**3 - 2/5*j**2 = 0. Calculate j.
-1, 0, 1/4, 1
Suppose -3*b + 8 = b. Suppose 8 - 6*j**2 - 4*j - 2*j**2 + 4*j**b = 0. What is j?
-2, 1
Let q(u) be the second derivative of u**6/15 + u**5/4 + u**4/4 - u**3/6 - u**2/2 + 2*u. What is i in q(i) = 0?
-1, 1/2
Let r(d) be the third derivative of d**5/4 + d**4 + 3*d**3/2 + 8*d**2. Factor r(i).
3*(i + 1)*(5*i + 3)
Suppose 9*w + 12 = 11*w. Let o(p) be the second derivative of 0 + 0*p**3 + 0*p**2 + 1/42*p**4 + 1/70*p**5 - 2/105*p**w + 2*p. Find u, given that o(u) = 0.
-1/2, 0, 1
Let i(y) be the first derivative of y**4 + 2/3*y**3 + 0*y + 2 + 2/5*y**5 + 0*y**2. Factor i(d).
2*d**2*(d + 1)**2
Suppose 0 = 2*n + 3*l + 51, -n = -2*n - 3*l - 27. Let d be (-2)/(-3) + (-16)/n. Solve 0 - 4/3*r**4 - 2/3*r + d*r**2 + 2/3*r**3 = 0 for r.
-1, 0, 1/2, 1
Let m(l) be the second derivative of -l**7/252 + l**6/36 - 3*l**5/40 + 7*l**4/72 - l**3/18 + 6*l. What is c in m(c) = 0?
0, 1, 2
Let u = -134 + 136. Find l, given that 1/4 - 1/2*l + 1/4*l**u = 0.
1
Let j(m) = m**3 + m**2 - 1. Let z be j(0). Let l be (4/2)/((-5)/z). Factor -2/5*k - 4/5 + l*k**2.
2*(k - 2)*(k + 1)/5
Let t(g) = 1. Let n(b) = b**2 - 6. Let v(y) = -n(y) - 5*t(y). Factor v(w).
-(w - 1)*(w + 1)
Let u(l) be the second derivative of 0*l**2 + 0 - 2*l - 1/65*l**5 + 2/39*l**3 - 1/78*l**4 + 1/195*l**6. Find z such that u(z) = 0.
-1, 0, 1, 2
Suppose 4*p + 3*k - 3 = 0, 0 = 4*p + k - 4*k + 3. Suppose -2*g = -p*g. Factor -2/5*n + g + 0*n**2 + 2/5*n**3.
2*n*(n - 1)*(n + 1)/5
Factor -3*i**2 + 2 + 4*i**4 - 2 - i**2.
4*i**2*(i - 1)*(i + 1)
Let o(l) = l**3 - 6*l**2 + l + 28. Let s be o(4). Determine t so that -2/17*t - 2/17*t**2 + s = 0.
-1, 0
Suppose 0 = -4*o + w + 1, -2*w + 2 = o - 4*w. Factor 2/5*h + o + 4/5*h**2 + 2/5*h**3.
2*h*(h + 1)**2/5
Let v(l) = 4*l**3 - 6 + 8 + 0*l**3 - 3*l**3 + 3*l**2. Let j be v(-3). Factor 2*r + 1/2*r**j + 2.
(r + 2)**2/2
Let q(c) be the first derivative of -25*c**6/6 + 2*c**5 + 25*c**4/4 - 10*c**3/3 + 12. Let q(r) = 0. Calculate r.
-1, 0, 2/5, 1
Let o(a) be the third derivative of 7*a**7/6 + 35*a**6/12 - a**5/4 - 25*a**4/6 + 10*a**3/3 - 45*a**2. What is r in o(r) = 0?
-1, 2/7
Let d(x) = x - 3. Let y be d(7). Let z = 1 + y. Factor 4*p**5 + 0*p**z - 2*p**5.
2*p**5
Let r(f) = 16*f**2 - 16*f - 116. Let m(z) = 3*z**2 - 3*z - 21. Let j(d) = -28*m(d) + 5*r(d). Factor j(y).
-4*(y - 2)*(y + 1)
Let p(o) = -5*o**2 + 116*o + 100. Let t be p(24). Find n such that -1/7 + 0*n**2 + 1/7*n**t - 2/7*n + 2/7*n**3 = 0.
-1, 1
Suppose -2*t + 12 = -2*s, -3*t - 7 = -2*s - 22. What is z in -2/7*z**2 + 0 + 2/7*z**4 + 0*z + 0*z**t = 0?
-1, 0, 1
Let r(q) be the third derivative of q**6/480 + q**5/48 + q**4/32 - 3*q**3/8 + 5*q**2. Suppose r(c) = 0. What is c?
-3, 1
Let n(a) = -a**3 + 11*a**2 + 2*a + 16. Let c be n(11). Let l be (14 - 11) + c/(-14). Factor -4/7*h + l*h**2 + 2/7.
2*(h - 1)**2/7
Let h be (-1 - -5)*(-30)/(-40). Let a be (8 - h) + (-3 - 0). Factor -1/3*m + 1/3*m**a - 2/3.
(m - 2)*(m + 1)/3
Let y(i) be the first derivative of -i**3 + 6*i**2 + 25. Factor y(f).
-3*f*(f - 4)
Suppose t - 3 = 6*t + 3*h, -4*t + 2*h = -2. Let p = t + 2. Let 2*a**3 - a + 2*a**p + a = 0. Calculate a.
-1, 0
Let j(b) be the third derivative of -b**5/240 - b**4/48 - b**3/24 - 9*b**2. Factor j(g).
-(g + 1)**2/4
Let p be 6/(-2) - (-4 - 3). Find l such that 20*l**3 + 42*l + 11*l**4 - 54 + 66*l - 14*l**2 - 13*l**p - 58*l**2 = 0.
1, 3
Let j(s) be the first derivative of -s**8/504 - s**7/180 + s**6/360 - 9*s**2/2 + 4. Let t(k) be the second derivative of j(k). Factor t(z).
-z**3*(z + 2)*(4*z - 1)/6
Let a be 3/1*(-4)/(-6). Suppose m = a*w - 5, -5*w = -2*w + 3*m - 21. Suppose -c**3 + 2*c - c**2 + 4*c**w - 3*c**2 - c = 0. Calculate c.
-1, 0, 1/4, 1
Factor 0 - 8/3*z + 4/3*z**3 - 4/3*z**2.
4*z*(z - 2)*(z + 1)/3
Find r such that -4*r**2 + 16/7 + 6/7*r**4 + 8/7*r - 2/7*r**3 = 0.
-2, -2/3, 1, 2
Let t(l) be the first derivative of 0*l**2 + 7/3*l**3 - 4*l - 3/4*l**4 + 2. Determine z, given that t(z) = 0.
-2/3, 1, 2
Factor 0*i + 5*i + i + 12 - 4 - 2*i**2.
-2*(i - 4)*(i + 1)
Let f(m) be the first derivative of m**7/2100 - m**5/100 - m**4/30 - m**3 - 1. Let c(n) be the third derivative of f(n). Find l such that c(l) = 0.
-1, 2
Let r(y) be the first derivative of -7*y**8/480 - y**7/60 - y**6/180 - 5*y**3/3 - 5. Let l(k) be the third derivative of r(k). Factor l(c).
-c**2*(7*c + 2)**2/2
Let i be (-2)/8 + (-6)/(-24). Suppose -x = -i*x. Determine o so that 0 + 1/2*o**2 + 7/4*o**3 + 5/4*o**4 + x*o = 0.
-1, -2/5, 0
Suppose -2*z - 13 - 1 = 0. Let i be 0/(-1)*1 - z. Factor -2*r**4 + 7*r + 2*r**5 - i*r.
2*r**4*(r - 1)
Let k(y) be the first derivative of 5*y**6/2 + 6*y**5/5 - 15*y**4/2 - 4*y**3 + 15*y**2/2 + 6*y - 40. Suppose k(v) = 0. Calculate v.
-1, -2/5, 1
Let j be (3/5)/(7/(-105)). Let o be j/12 - (-13)/12. Factor 1/6*r**4 + 0 + 1/6*r**2 + 0*r + o*r**3.
r**2*(r + 1)**2/6
Let s be 4/10 - 44/135. Let j(q) be the first derivative of -2 - 1/9*q**2 - s*q**3 + 0*q. Factor j(i).
-2*i*(i + 1)/9
Solve -7/2*n + n**4 - 3/2 + 1/2*n**2 + 7/2*n**3 = 0.
-3, -1, -1/2, 1
Let s(y) = -y**3 - 2*y**2 - y - 3. Let d be s(-3). Factor -32*o**3 - 4*o**5 + 17*o**4 + 7*o**2 + 3*o**4 + d*o**2.
-4*o**2*(o - 2)**2*(o - 1)
Let t = 11/8 - 9/8. Let q(x) be the second derivative of 1/6*x**2 + 2*x + t*x**4 + 1/15*x**5 + 1/3*x**3 + 0. Factor q(g).
(g + 1)**2*(4*g + 1)/3
Let p be ((-24)/(-15))/(28/20*1). Let 2/7*v**4 + 2/7 + p*v + 12/7*v**2 + 8/7*v**3 = 0. What is v?
-1
Let n(l) = 3*l**5 - 5*l**4 - l**3 + 3*l**2 + 5*l. Let r(y) = -3*y**5 + 4*y**4 + 2*y**3 - 2*y**2 - 6*y. Let d(j) = 6*n(j) + 5*r(j). Factor d(m).
m**2*(m - 2)**2*(3*m + 2)
Suppose y - j - 3 = -3*j, -2*y - 1 = -3*j. Let n(r) be the first derivative of y + 1/2*r - 3/4*r**2 - 1/8*r**4 + 1/2*r**3. Solve n(h) = 0 for h.
1
Let f = -165 - -180. Factor -54*z**2 - 81/2 - f*z**3 - 3/2*z**4 - 81*z.
-3*(z + 1)*(z + 3)**3/2
Suppose -i + 5*i + 44 = -4*n, -3*i + 4*n - 5 = 0. Let w = i + 15. Factor h + w*h**2 - h**5 - 6*h**2 + 0*h**5 - 2*h**4.
-h*(h - 1)*(h + 1)**3
Let f(k) be the first derivative o