at is j?
-13, 7
Let p be (-1)/(-3) + (40/6)/4. Factor 2*h + 2*h + 55 - p*h**2 - 55.
-2*h*(h - 2)
Let w(p) = 3 - 2 - 2. Let h(q) = -q**3 + q**2 + q + 8. Let s be (-6 - 0)/((-7)/42). Let k(f) = s*w(f) + 4*h(f). Solve k(l) = 0 for l.
-1, 1
Let i(c) be the second derivative of c**4/36 - 59*c**3/9 + 3481*c**2/6 - 836*c. Suppose i(d) = 0. What is d?
59
Find o, given that 8/7*o**4 - 36/7*o**2 + 0 + 6/7*o**3 - 2/7*o**5 + 0*o = 0.
-2, 0, 3
Let i be (-2 - 9) + 343/21. Factor 8/3*r + i + 1/3*r**2.
(r + 4)**2/3
Determine b, given that 15/2*b**2 + 0 + 9*b - 3/2*b**3 = 0.
-1, 0, 6
Let 20/9*a + 16/9 + 4/9*a**2 = 0. Calculate a.
-4, -1
Suppose 1 + 3 = 2*f. What is x in 3*x**2 - 5*x + 8*x**f - 7*x**2 + x**2 = 0?
0, 1
Factor 326/5*i - 198*i**2 + 1026/5*i**3 - 36/5 - 54/5*i**4.
-2*(i - 18)*(3*i - 1)**3/5
Let u(h) = h**2 + 24*h + 25. Let m be u(-23). Factor o**3 + 18*o**m - 6*o + 3*o + 107 + 109 + 111*o.
(o + 6)**3
Let y(c) be the first derivative of 5/3*c**3 + 1/1980*c**6 - 4 + 0*c + 1/66*c**5 + 25/132*c**4 + 0*c**2. Let g(v) be the third derivative of y(v). Factor g(l).
2*(l + 5)**2/11
Factor 7*m**2 - 145938 + 15*m + 3*m**3 + 145947 - 2*m**3.
(m + 1)*(m + 3)**2
Let h be (5 + (-3 - 0))*1. Suppose 4 = -3*b - h*g, g + 4 = -2*b + 3. Suppose -1/5*y + 0 - 1/5*y**b = 0. What is y?
-1, 0
Let z(s) = 2*s**4 - 60*s**3 - 329*s**2 - 231*s. Let a(m) = m**4 - 15*m**3 - 82*m**2 - 58*m. Let w(n) = 9*a(n) - 2*z(n). Let w(c) = 0. What is c?
-2, -1, 0, 6
Let c be ((-14)/(-77))/(11/(1815/6)). Suppose -2*i + c + 1/5*i**2 = 0. Calculate i.
5
Factor -1/3*i**4 - 22/3*i**3 - 19*i**2 + 4/3*i + 76/3.
-(i - 1)*(i + 2)**2*(i + 19)/3
Let w(a) = 2*a + 19. Let d be w(-8). Determine i, given that 3*i**d - 3716*i**2 + 3716*i**2 - 3*i**4 = 0.
0, 1
Let i(j) be the first derivative of -2*j**6/15 - 144*j**5/25 - 286*j**4/5 + 912*j**3/5 - 722*j**2/5 + 505. Factor i(r).
-4*r*(r - 1)**2*(r + 19)**2/5
Let w(o) be the third derivative of o**5/30 - o**4/6 - 8*o**3/3 + 2*o**2 - 46. Factor w(b).
2*(b - 4)*(b + 2)
Let n = 42 + -38. Suppose 14 + n*v - 11 - 3*v**2 - 4*v = 0. What is v?
-1, 1
What is j in 3/4*j**3 + 93/4*j + 0 + 375/8*j**2 = 0?
-62, -1/2, 0
Let j(s) be the third derivative of -s**5/60 - s**4/12 - s**3/6 + 3*s**2 - 6. Let b be j(-1). Solve 0 - 1/2*g**2 + 3/4*g**3 - 1/4*g**5 + b*g + 0*g**4 = 0 for g.
-2, 0, 1
Let t(d) be the second derivative of -d**6/540 - d**5/135 - 7*d**2 - 13*d. Let s(l) be the first derivative of t(l). Factor s(h).
-2*h**2*(h + 2)/9
Suppose -2*k + 8 = 2*k. Factor -2*o**2 - 3*o**2 - o**5 + k*o - 3*o**4 - o**3 + 8*o**2.
-o*(o - 1)*(o + 1)**2*(o + 2)
Suppose -o + 2 = 0, -20 = 3*i - 2*o - 2*o. Let n(m) = m + 7. Let v be n(i). Let -2/13 + 2/13*c**2 + 2/13*c**v - 2/13*c = 0. What is c?
-1, 1
Let z be 7 + 1/((-4 - -7)/(-15)). Solve -3/2*w + 81/8*w**z + 21/8*w**4 - 3/2 - 39/4*w**3 = 0 for w.
-2/7, 1, 2
Let t be (19/7 + -1)/(299/(-2898)*-27). Find g, given that -6/13*g**2 - 8/13*g**3 + 8/13*g + t - 2/13*g**4 = 0.
-2, -1, 1
Let p(i) be the third derivative of i**5/15 + 10*i**4/9 - 14*i**3/9 - 13*i**2. Find f such that p(f) = 0.
-7, 1/3
Let g(y) = y**2 - 6*y - 3. Let j be g(6). Let l be 87/24 - j/8. Factor 2*f**2 + f**2 + f - 4*f + 3*f**3 - 3*f**l + 0*f**2.
-3*f*(f - 1)**2*(f + 1)
Let f be -27 + 40 + (7 - 18). Let -j - 5/7*j**f - 2/7 = 0. Calculate j.
-1, -2/5
Let g(f) be the first derivative of 2*f**3/3 - 20*f**2 + 72*f + 174. Find a such that g(a) = 0.
2, 18
Let q(g) be the second derivative of -g**5/120 - g**4/6 + 175*g - 2. Find a such that q(a) = 0.
-12, 0
Determine l, given that 29*l**2 + l**5 - 18 - 3*l**2 + 21*l**4 + 8*l**3 - 9*l + 18*l**4 - 47*l**4 = 0.
-1, 1, 3, 6
Suppose p = 3*p - 5*p. Let m(i) be the third derivative of -2/3*i**4 - 1/6*i**5 + 4/3*i**3 + p + 0*i - 4*i**2. Solve m(z) = 0 for z.
-2, 2/5
Let k(a) be the second derivative of -5/3*a**4 - 18*a + 5/42*a**7 - 5/6*a**6 + 2*a**5 + 0 + 0*a**3 + 0*a**2. Factor k(f).
5*f**2*(f - 2)**2*(f - 1)
Let c(p) = -p**3 + p**2 + 1. Let x(b) = -18*b**3 - 150*b**2 + 339*b - 156. Let n(w) = -15*c(w) + x(w). Factor n(q).
-3*(q - 1)**2*(q + 57)
Let l(b) be the first derivative of b**8/168 + b**7/105 - b**6/60 - b**5/30 - b**2 - 15. Let q(g) be the second derivative of l(g). Factor q(z).
2*z**2*(z - 1)*(z + 1)**2
Let v(x) = 4*x**2 - 57*x + 53. Let n(j) = 5*j**2 - 60*j + 55. Let p(h) = 5*n(h) - 6*v(h). Let p(f) = 0. Calculate f.
-43, 1
Let u be (58 - 65) + 3*3. Let c(t) be the first derivative of -3 + 0*t + 0*t**3 + 0*t**u - 1/6*t**4. Factor c(f).
-2*f**3/3
Let y = -1309 + 11789/9. Factor -2/9 + y*o - 8/9*o**3 + 2/9*o**2.
-2*(o - 1)*(o + 1)*(4*o - 1)/9
Let u(x) be the second derivative of 2*x**6/45 + x**5/30 - 5*x**4/18 + 2*x**3/9 + 2*x - 14. Let u(h) = 0. What is h?
-2, 0, 1/2, 1
Let r be (8/12)/((-4)/72). Let q be ((-4)/(-8))/((-3)/r). Factor 4*g**q + 2*g**3 + 3*g - 3*g - 3*g + 5*g.
2*g*(g + 1)**2
Let d(r) = -10*r**4 - 40*r**3 - 58*r**2 + 24*r + 78. Let f(g) = -g**4 - 2*g**3 - g**2 + 2*g + 1. Let u(w) = d(w) - 6*f(w). Factor u(n).
-4*(n - 1)*(n + 2)*(n + 3)**2
Let a(g) be the third derivative of -g**5/40 - 3*g**4/2 - 36*g**3 + 44*g**2. Determine q, given that a(q) = 0.
-12
Let d(l) be the second derivative of 1/10*l**5 - 3/4*l**2 + 5/24*l**4 - 23*l - 1/6*l**3 + 0. Let d(b) = 0. Calculate b.
-1, 3/4
Let q(y) = y + 1. Let k(o) = o**2 - 9*o - 1. Let v(c) = k(c) + 3*q(c). Let t be v(6). Determine w so that 4*w - 2*w**2 - 2 + w**t + 7*w**2 = 0.
-1, 1/3
Determine i, given that -4/19*i**3 + 0 + 0*i**2 - 2/19*i**5 + 0*i - 6/19*i**4 = 0.
-2, -1, 0
Let f(u) be the second derivative of -7/150*u**6 - 17*u + 0*u**2 + 1/210*u**7 + 4/15*u**3 - 1/3*u**4 + 9/50*u**5 + 0. Factor f(g).
g*(g - 2)**3*(g - 1)/5
Factor 18/7*o + 2/7*o**2 + 16/7.
2*(o + 1)*(o + 8)/7
Let s = 1 + 2. Factor -2*z**5 - 5*z**2 - 6*z + 15*z**2 - 2*z**4 + 5*z + 5*z + 6*z**s.
-2*z*(z - 2)*(z + 1)**3
Let w be 2/(120/753) - 3/(-12). Let h = w - 11. Find s, given that 0*s + 12/5 - h*s**2 + 3/5*s**3 = 0.
-1, 2
Let 1/3*f**3 - 1/9*f**5 + 0*f**4 + 2/9*f**2 + 0 + 0*f = 0. What is f?
-1, 0, 2
Let g(p) be the first derivative of p**3/15 + 7*p**2/5 + 13*p/5 - 363. Suppose g(u) = 0. What is u?
-13, -1
Let y(w) be the second derivative of 0*w**2 - 1/80*w**5 + 0 + 8*w + 1/48*w**4 + 0*w**3. Suppose y(r) = 0. What is r?
0, 1
Suppose -55*m**2 + 70*m + 75 + 35*m**2 + 15*m**2 = 0. What is m?
-1, 15
Determine p, given that -3*p + 24*p**2 + 0*p**4 - 4*p + 12*p**3 + 9*p**2 - 3*p**4 + 25*p = 0.
-1, 0, 6
Let t(p) be the second derivative of p**9/15120 + p**8/2240 + p**7/1260 - p**4/3 - 17*p. Let h(y) be the third derivative of t(y). Solve h(w) = 0 for w.
-2, -1, 0
Suppose -8*s = -3*s - 10. Suppose -5*n - f + 19 = 0, -s = -f - 3. Find t such that 27*t - 1 + 13*t**2 - t**2 + n + 3 = 0.
-2, -1/4
Find y, given that 2165*y + 8676*y - 1241*y + 2*y**3 - 30343 - 97657 - 240*y**2 = 0.
40
Let u(y) be the third derivative of -y**5/150 - y**4/60 + 2*y**3/15 - 9*y**2. Factor u(c).
-2*(c - 1)*(c + 2)/5
Factor 287509*a + 3*a**3 - 24*a**2 - 287509*a.
3*a**2*(a - 8)
Let i be (-7 - 0 - (-61)/9)*(-27)/12. Factor -v + 5/8*v**2 - 1/8*v**3 + i.
-(v - 2)**2*(v - 1)/8
Let k = 4011/8030 + 2/4015. Solve 0*g**2 + k*g + 1/3 - 1/6*g**3 = 0.
-1, 2
Let m be ((-5)/2)/((-5)/6). Suppose -m = -2*h + 1. Factor h*g + 2/5 + 8/5*g**2.
2*(g + 1)*(4*g + 1)/5
Suppose -3*k + 7 = -j, -7 + 20 = k - 3*j. Let t be 3*k - (10 - 7). Suppose -6*s**2 + t*s**2 + 10*s**2 - 4*s = 0. What is s?
0, 1
Let s(l) be the second derivative of -l**8/11760 + l**6/420 - l**5/105 - l**4/6 + 3*l. Let j(f) be the third derivative of s(f). Find r, given that j(r) = 0.
-2, 1
Let r(k) be the third derivative of 1/40*k**6 + 0*k**3 + 12*k**2 + 0*k**4 - 1/140*k**7 + 0 + 0*k**5 - 1/224*k**8 + 0*k. Let r(s) = 0. Calculate s.
-2, 0, 1
Find h such that 40/9*h**3 + 20/9*h**2 - 4 + 16/9*h**4 - 14/3*h + 2/9*h**5 = 0.
-3, -2, -1, 1
Solve -4*n - 3*n - 120*n**2 - 4*n**4 - 106*n**4 - 225*n**3 + 2*n = 0.
-1, -1/22, 0
Factor 2*p**2 + 0 + 0*p - 1/2*p**4 + 0*p**3.
-p**2*(p - 2)*(p + 2)/2
Determine p, given that -88*p**2 - 91*p + 12*p + 4*p**3 + 563*p = 0.
0, 11
Factor -306*i**4 + 6*i + 318*i**4 + 24*i**3 + 2*i**5 + 17*i**2 + 3*i**2.
2*i*(i + 1)**3*(i + 3)
Let b(x) be the second derivative of 3*x**5/70 - 3*x**3/7 + 6*x**2/7 + 2*x - 5. Factor b(u).
6*(u - 1)**2*(u + 2)/7
Let t be (2 - -1) + 0 + 