*x + 2)/2
Let p(f) = -244*f - 5121. Let o be p(-21). Solve 4/7*w - 20/7*w**5 + 8*w**4 + 0 + 8/7*w**2 - 48/7*w**o = 0 for w.
-1/5, 0, 1
Factor 10/3 - 19*y + 11/3*y**2.
(y - 5)*(11*y - 2)/3
Let i = -41 - -72. Suppose i*n - 28*n = 0. Let 0*c - 3/4*c**2 - 3/4*c**3 + 3/4*c**4 + n + 3/4*c**5 = 0. What is c?
-1, 0, 1
Factor 2 + 102*y - 22*y - 16967*y**2 + 17767*y**2.
2*(20*y + 1)**2
Let m(y) = -y + 23. Suppose 5*u + 2*z = 92, -6*z = -z - 5. Let g be m(u). Suppose -4/5*p - 12/5*p**3 + 0 - 4*p**2 + 4*p**4 + 16/5*p**g = 0. Calculate p.
-1, -1/4, 0, 1
Let q be (99/27)/(1/6). Factor b**2 - 11 + 28*b + q + 185.
(b + 14)**2
Let k(m) be the first derivative of -10/3*m**3 - 21 + 5*m - 5/2*m**2. Solve k(n) = 0.
-1, 1/2
Let j(s) be the first derivative of s**4/20 - 14*s**3/15 + 7*s**2/2 - 22*s/5 - 273. Factor j(r).
(r - 11)*(r - 2)*(r - 1)/5
Let r be -3 - (-7)/(14/4) - 144/(-48). Factor 128/7 + 2/7*l**3 + 96/7*l + 24/7*l**r.
2*(l + 4)**3/7
Let y be -10*1*(-2 + 3 - 4). Suppose 19*v**4 + 19*v**2 - 24*v**4 + y*v**3 - 5*v**5 - 40*v + v**2 = 0. What is v?
-2, 0, 1, 2
Suppose 0 = -7*d + d + 414. Let o = -67 + d. Factor 8/17*j**3 - 8/17 - 40/17*j**o + 2*j.
2*(j - 4)*(2*j - 1)**2/17
Let t(v) = 4*v**3 + 10*v**2 - 5*v - 6. Let c(j) = -22*j**3 - 50*j**2 + 24*j + 32. Let m(n) = 3*c(n) + 16*t(n). Factor m(g).
-2*g*(g - 4)*(g - 1)
Suppose -39 - 36 = -5*c. Let g be ((-5)/c*-6)/4. Let -1 + 1/2*a**2 + g*a = 0. What is a?
-2, 1
Let s = -66 + 68. Factor 2*p**2 + 2*p + p**2 + 0*p**s - 2*p**2.
p*(p + 2)
Let a = -453 - -4078/9. Let u(k) be the first derivative of -a*k**3 + 0*k + 0*k**2 - 3. Find y such that u(y) = 0.
0
Suppose 2*m = -6*m. Let r be (0/(-5))/3 - m. Factor 0 + 2/13*k**3 - 6/13*k**2 + r*k.
2*k**2*(k - 3)/13
Suppose -10*b + 45*b**4 - 28*b**5 + 31*b**4 - 30*b + 24*b**3 - 136*b**2 + 24*b**2 + 8*b = 0. Calculate b.
-1, -2/7, 0, 2
Let f(m) = -9*m**4 - m**3 + 4*m**2 + 4. Let l(n) = -7*n**4 + 3*n**2 - n + 3. Let v(t) = -3*f(t) + 4*l(t). Factor v(s).
-s*(s - 2)**2*(s + 1)
Let v(s) be the third derivative of -s**6/240 - s**5/40 + s**3/3 - 33*s**2 - 2*s. Factor v(t).
-(t - 1)*(t + 2)**2/2
Let w be (((-18)/56)/((-3)/2))/(19/190). What is c in 18/7*c**2 + 0 + w*c + 3/7*c**3 = 0?
-5, -1, 0
Let z(g) = -g**2 + 4*g + 11. Let l be z(5). Factor -275*c**4 + 278*c**4 - 4*c**5 + l*c**3 + c**5.
-3*c**3*(c - 2)*(c + 1)
Factor 21/2*t - 3/4*t**2 + 24.
-3*(t - 16)*(t + 2)/4
Let t(a) = -155*a**2 - 2025*a - 8910. Let y(s) = 2*s**2. Let g(k) = -11*k**2 - 92*k - 405. Let q(r) = g(r) + 2*y(r). Let f(w) = -45*q(w) + 2*t(w). Factor f(i).
5*(i + 9)**2
Let p(g) be the second derivative of -g**7/210 - g**6/120 + g**5/30 + 7*g**2/2 + 14*g. Let r(x) be the first derivative of p(x). Factor r(i).
-i**2*(i - 1)*(i + 2)
Find k, given that -1/4*k**2 + 2*k - 1/4*k**3 + 3 = 0.
-2, 3
Factor 1014/5*z**2 + 2/5*z**3 + 171366/5*z + 9653618/5.
2*(z + 169)**3/5
Factor g**2 + 860*g + 4*g**2 + 39*g + 501*g + 98000.
5*(g + 140)**2
Let u(s) be the first derivative of 4/7*s**3 + 1/14*s**4 - 16/7*s - 37 - 2/35*s**5 - 4/7*s**2. Suppose u(y) = 0. Calculate y.
-2, -1, 2
Let j be 4/(-6)*3 - -3. Let o be ((-7)/5 + j)/(72/(-225)). Factor -o*t**3 - 25/4*t**2 - 10*t - 5.
-5*(t + 1)*(t + 2)**2/4
Suppose 16/19*f**2 + 8/19*f - 2*f**3 + 14/19*f**4 + 0 = 0. What is f?
-2/7, 0, 1, 2
Let m(j) be the second derivative of -8/5*j**5 - 2*j**3 - 7/3*j**4 - j**2 - 3/5*j**6 - 2/21*j**7 + 22*j + 0. Suppose m(l) = 0. Calculate l.
-1, -1/2
Let t = -10666/5 + 2134. Solve 0 - 4/5*j**2 - 1/5*j - 2/5*j**3 + t*j**4 + 3/5*j**5 = 0.
-1, -1/3, 0, 1
Suppose -14 = 4*n - 6*n. Suppose 4*g - 12 = 5*s, n*g - 15 = -5*s + 2*g. Factor s + 0*o - o**4 - 1/2*o**3 + 0*o**2 - 1/2*o**5.
-o**3*(o + 1)**2/2
Let c(z) be the first derivative of 5*z**3/3 - 75*z**2/2 - 170*z + 38. Find g such that c(g) = 0.
-2, 17
Let h(a) be the first derivative of 162*a**4 - 6588*a**3 + 100467*a**2 - 680943*a + 11. Factor h(d).
3*(6*d - 61)**3
Let a(d) be the third derivative of d**9/2520 + d**8/320 + d**7/210 - d**6/60 + d**4/6 - 12*d**2. Let s(x) be the second derivative of a(x). Factor s(n).
3*n*(n + 2)**2*(2*n - 1)
Suppose 5*h + 3*c = -187, h - c + 54 = 15. Let s = 115/3 + h. Find n such that 0*n**2 - s*n**3 + 1/3*n + 0 = 0.
-1, 0, 1
Let z be (1/(-8))/((-122)/244). Let m(a) be the second derivative of 4*a - 1/2*a**3 + 0 + 0*a**2 - z*a**4. Factor m(c).
-3*c*(c + 1)
Let a be 84/6*28/4. Let m = a + -94. Solve 4*k**m - 25/4*k**3 - 7/4*k - k**5 + 1/4 + 19/4*k**2 = 0.
1/2, 1
Let p(a) be the third derivative of 0*a**4 + 0*a**3 - 15*a**2 - 1/240*a**6 + 0 + 1/120*a**5 + 1/672*a**8 + 0*a - 1/420*a**7. Determine i so that p(i) = 0.
-1, 0, 1
Let m(z) be the first derivative of z**3 - 6*z**2 + 9*z - 357. Factor m(o).
3*(o - 3)*(o - 1)
Let q(v) be the third derivative of v**6/900 + 4*v**5/225 + v**4/15 - 47*v**2 + 1. Factor q(g).
2*g*(g + 2)*(g + 6)/15
Let a(z) be the third derivative of -1/1365*z**7 + 0*z**3 + 0 + 0*z - 1/260*z**6 - 1/78*z**4 + 1/2184*z**8 + 1/78*z**5 + 5*z**2. Solve a(s) = 0 for s.
-2, 0, 1
Let o = 529/78 + -206/39. Find w, given that 13/2*w**2 + 8 + 12*w + o*w**3 + 1/8*w**4 = 0.
-4, -2
Suppose 0 = -5*p + 2*w - 10, -5*p - 13*w + 16*w - 15 = 0. Let f(d) be the second derivative of -5*d + 0 - 1/5*d**5 - 1/3*d**4 + p*d**3 + 0*d**2. Factor f(h).
-4*h**2*(h + 1)
Let v(b) = b**2 + 8*b - 5. Let j = -233 - -224. Let i be v(j). Factor x + 0*x**3 + 3/4*x**2 - 1/8*x**i + 3/8.
-(x - 3)*(x + 1)**3/8
Let k(p) be the first derivative of p**4/18 - 26*p**3/27 + 23*p**2/9 - 22*p/9 - 140. Factor k(l).
2*(l - 11)*(l - 1)**2/9
Let k(z) be the second derivative of -z**8/9240 - z**7/1540 - z**6/990 + 2*z**3/3 - 11*z. Let i(a) be the second derivative of k(a). Solve i(v) = 0.
-2, -1, 0
Let t(x) be the first derivative of x**8/336 + x**7/28 - 9*x**5/4 - 135*x**4/8 + 37*x**3/3 + 13. Let z(f) be the third derivative of t(f). Factor z(r).
5*(r - 3)*(r + 3)**3
Let q(u) = -228*u - 3364. Let x(b) = b**2 - 227*b - 3364. Let k(w) = 5*q(w) - 4*x(w). What is i in k(i) = 0?
-29
Let y be 4/(-16)*(-80)/7. Determine i, given that -16/7 + 64/7*i - 4*i**3 - y*i**2 = 0.
-2, 2/7, 1
Let z = 71 - 75. Let q be (2/(-6))/(-1) - z - 4. What is g in 0*g + q*g**4 + 0*g**2 - 1/3*g**3 + 0 = 0?
0, 1
Let r = -4910 + 4912. What is u in 1/4*u**r + 0 - 1/2*u + 1/4*u**3 = 0?
-2, 0, 1
Let g(n) be the first derivative of 5*n**3 + 1/2*n**6 + 0*n + 9/4*n**4 - 3*n**5 - 6*n**2 + 3. Solve g(m) = 0.
-1, 0, 1, 4
Suppose 0 = 4*a - t - 23, 3*a - 3*t - 6 = -0*t. Let l(h) be the first derivative of -a - 3*h**2 + 4*h + 2/3*h**3. Factor l(p).
2*(p - 2)*(p - 1)
Suppose 0 = 4*h - v - 3*v - 16, 5*h + 12 = -3*v. Suppose -m = -0*m. Suppose h + 0*t**3 + 1/4*t**4 - 1/4*t**2 + m*t = 0. Calculate t.
-1, 0, 1
Let x(z) = -2*z**2 - 2*z - 1. Let p(s) = -3*s**2 - 45*s + 33. Let w(n) = -p(n) + 3*x(n). Factor w(k).
-3*(k - 12)*(k - 1)
Let 2/3*z**3 + 58/9*z**2 - 56/9 - 2/9*z**4 - 2/3*z = 0. What is z?
-4, -1, 1, 7
Let w = -425/39 - -146/13. Factor w*q**3 + 1 + 5/3*q**2 + 7/3*q.
(q + 1)**2*(q + 3)/3
Let a(y) be the third derivative of 0*y - 3/8*y**4 + 0 + 9/4*y**3 + 1/40*y**5 + 21*y**2. Determine m, given that a(m) = 0.
3
Let u(i) = -i - 1. Let g(m) = -4*m**3 - 8*m**2 + 8*m + 8. Let x(b) = g(b) + 8*u(b). Factor x(f).
-4*f**2*(f + 2)
Let y be 15/9*1664/52. Suppose 50/3*k**3 + 128/3 - 40/3*k**2 + 20/3*k**4 + 2/3*k**5 - y*k = 0. What is k?
-4, 1
Let c be -1 + 4 - (-9)/(-108)*68. Let m = c - -28/9. Solve 2/9*d + 0 + m*d**2 - 2/3*d**3 = 0 for d.
-1/3, 0, 1
Let n(k) be the second derivative of k**7/6720 - k**6/960 + k**5/320 + 11*k**4/12 + 23*k. Let j(f) be the third derivative of n(f). Factor j(o).
3*(o - 1)**2/8
Determine x so that -56/13*x**2 + 0 + 2/13*x**3 - 120/13*x = 0.
-2, 0, 30
Let i be (-4)/6*-9*(-7)/(-42). Let z(p) be the first derivative of i + 1/6*p**2 - 1/2*p + 1/18*p**3. Factor z(t).
(t - 1)*(t + 3)/6
Let 16 + 75*z + 10*z**2 - 2*z**3 - z**3 - 116*z - 3*z**3 + 93*z = 0. Calculate z.
-2, -1/3, 4
Let a be (44/10)/((-1001)/(-455)). Factor -1/3*t**a + 2 - 5/3*t.
-(t - 1)*(t + 6)/3
Let g(v) be the first derivative of 20 + 1/15*v**3 - 1/5*v + 0*v**2. Factor g(f).
(f - 1)*(f + 1)/5
Let l(u) be the second derivative of -2/45*u**3 - 1/30*u**4 + 0*u**2 - 13*u + 1/225*u**6 + 0*u**5 + 0. Find w such that l(w) = 0.
-1, 0, 2
Factor 14*n**3 + 46/7*n**4 + 50/7*n**2 + 0 + 0*n - 2