 o in -o**3 + 0*o - 1/8*o**4 - 2*o**2 + 0 = 0?
-4, 0
Suppose -5*v + 2*h - 6 = 0, 0 = -140*v + 141*v - h + 6. Solve -6/7*f**4 + 2/7*f**3 + 24/7*f + 8/7 - 2/7*f**5 + 22/7*f**v = 0.
-2, -1, 2
Let m(d) = -d. Let k(r) = -7*r - 4*r**2 + 0*r**2 + 3*r**2. Let l = -7 - -3. Let j(z) = l*k(z) + 20*m(z). Factor j(f).
4*f*(f + 2)
Let u(x) be the second derivative of -x**4/24 + x**3/4 + 69*x. Factor u(r).
-r*(r - 3)/2
Let k = 57833 + -406746/7. Let w = k + 274. Suppose 0*s**2 + 0 + 9/7*s**4 - w*s**3 + 0*s = 0. Calculate s.
0, 1/3
Let p be 77/7 + 34/(-3) + (-7)/(-3). Solve 2/3*w**3 + 4/3 - 20/9*w**p + 2/9*w = 0 for w.
-2/3, 1, 3
Let w(y) be the third derivative of y**5/100 + 47*y**4/40 - 24*y**3/5 - 161*y**2. Solve w(i) = 0.
-48, 1
Let a(m) be the first derivative of m**6/1620 - m**5/45 + m**4/3 - 19*m**3/3 - 3. Let x(o) be the third derivative of a(o). What is n in x(n) = 0?
6
Suppose -2969*b = -2959*b - 40. Determine o, given that 0*o**2 + 0 - 12/7*o**3 + 3/7*o**b + 0*o = 0.
0, 4
Let 105/4*q + 9 + 7/4*q**3 + 13*q**2 = 0. Calculate q.
-4, -3, -3/7
Let m(b) be the second derivative of 3*b**5/20 + 5*b**4/4 + 26*b. Let m(n) = 0. Calculate n.
-5, 0
Let o be (42/(-63))/((-1)/42). Suppose -2*x - 20 = -5*j, -4*j + 2*x + o = -2*x. Let 2/3*p**j + 0*p + 0 + 2/3*p**3 = 0. What is p?
-1, 0
Let d(n) be the second derivative of n**5/4 - 310*n**4 + 153760*n**3 - 38132480*n**2 - 660*n. Find y, given that d(y) = 0.
248
Let x(g) be the first derivative of 1/22*g**4 + 12/11*g**2 - 19 + 4/11*g**3 + 16/11*g. Factor x(m).
2*(m + 2)**3/11
Let z = 3507421/735 + -4772. Let n(d) be the third derivative of -z*d**7 + 0*d + 9*d**2 - 1/21*d**4 + 0 + 0*d**5 + 0*d**3 + 1/140*d**6. Let n(p) = 0. What is p?
-1, 0, 2
Let f = -2835 + 11351/4. Let f*u + 3/2 + 3/2*u**2 + 1/4*u**3 = 0. What is u?
-3, -2, -1
Suppose -7*p = -5*p - 2*h - 6, -27 = -3*p - 3*h. Let s(w) be the first derivative of 4/5*w**5 - 8/3*w**3 + 8 + 2*w**2 - 2*w**4 + 4*w + 2/3*w**p. Solve s(y) = 0.
-1, 1
Let a(o) be the second derivative of -1/15*o**4 + 1/25*o**5 + 0*o**3 + 11*o + 0*o**2 + 0. Let a(n) = 0. What is n?
0, 1
Suppose -36 = c - 2*c. Suppose w - 28 + 24 = 0. Solve -13*z + c*z**3 + 21*z**2 - 61*z**2 - 14*z**w + 29*z + 2*z**5 = 0.
0, 1, 2
Let j = 182 + -130. Let p be 8/j - 111/(-39). Suppose 3*i**5 - p*i**4 - 3*i**5 + 11*i**2 - 7*i**2 - i**5 = 0. What is i?
-2, 0, 1
Let q(z) be the third derivative of 5*z**8/48 - 13*z**7/21 + 13*z**6/24 + 17*z**5/6 - 25*z**4/6 - 20*z**3/3 - 26*z**2 - 2*z. Find j, given that q(j) = 0.
-1, -2/7, 1, 2
Factor 6 - 14/5*d**2 + 14/5*d + 2/5*d**3.
2*(d - 5)*(d - 3)*(d + 1)/5
Let o(t) = 26*t**2 + 135*t + 149. Let k(y) = 36*y**2 + 203*y + 223. Let z(j) = -5*k(j) + 7*o(j). Find u, given that z(u) = 0.
-1, 36
Suppose -3 = 9*s - 8*s. Let w be (-4 - s) + -2 + 3. Determine u so that -3*u**4 + 4*u**5 - 4*u**2 + w*u**4 + 7*u**4 - 3*u**3 - u**3 = 0.
-1, 0, 1
Let y(m) = -8*m**3 - 6*m. Let l = 16 - 37. Let d(c) = -c**3 - c. Let i(o) = l*d(o) + 3*y(o). Let i(n) = 0. Calculate n.
-1, 0, 1
Let b = -126 - -244. Determine t, given that 28*t**4 - 7*t + b*t**2 - 82*t**4 - t - 8 - 48*t**3 = 0.
-2, -2/9, 1/3, 1
Suppose 13*s = -8*s + 105. Let o(q) be the third derivative of 1/2*q**4 + 2*q**2 + 0 + 4/3*q**3 + 1/15*q**s + 0*q. Solve o(i) = 0.
-2, -1
Let y = -34819/6 + 5804. Factor y*g**2 + 7/2*g + 2/3.
(g + 4)*(5*g + 1)/6
Let j(l) be the third derivative of 3*l**6/20 - 289*l**5/120 + l**4/8 + 4*l**3/3 - 9*l**2 - 5*l. Factor j(a).
(a - 8)*(4*a - 1)*(9*a + 2)/2
Let w(h) be the first derivative of h**4 + 136*h**3/5 + 216*h**2 + 160*h + 76. Let w(n) = 0. What is n?
-10, -2/5
Let o be -316*(3 + (-633)/210). Let r = 33/7 - o. Suppose -2/5 - r*x**2 - 3/5*x = 0. What is x?
-2, -1
Factor 1/3*m**2 + 50/3 + 9*m.
(m + 2)*(m + 25)/3
Suppose 2*k = -0*k + 8. Suppose -a = 1 - k. Solve 6*y**4 + 2*y**2 - 8*y**2 - 3*y**3 - a*y**5 + 6*y**5 = 0 for y.
-2, -1, 0, 1
Factor 2/9*k**3 + 40/9*k + 0 + 8/3*k**2.
2*k*(k + 2)*(k + 10)/9
Let p be (-3844)/(-60) + 2/(-5). Let u = p + -63. Let 0*w**2 + 2/3*w**3 + 0 + u*w**4 + 0*w = 0. Calculate w.
-1, 0
Let n be 19/5 + 3/15. Suppose -1 = 3*v + n*a - 31, -15 = -2*v - a. Find k such that 0*k + 2*k + 4*k**2 - 10*k**2 - 2*k**4 + v*k**3 = 0.
0, 1
Let d(n) = -n**2 - 45*n - 44. Let i(l) = -l**2 - 48*l - 47. Let k(f) = -3*d(f) + 4*i(f). Factor k(x).
-(x + 1)*(x + 56)
Let g = -7 + 14. Suppose g*s - 12*s + 60 = 0. Factor -8*j**2 - 24*j**3 + 4*j**5 + 0*j**4 - 4*j**4 + 0 + 20*j + s.
4*(j - 3)*(j - 1)*(j + 1)**3
Let d be 1/(1*-2) - (-153)/18. Let f(a) = -a**2 + 7*a + 8. Let l be f(d). Factor l + 0*t - 2/7*t**3 + t**4 - 4/7*t**5 - 1/7*t**2.
-t**2*(t - 1)**2*(4*t + 1)/7
Let q(h) = -4*h**2 - 15*h + 16*h + 3*h**2. Let l(w) = -25*w**2 + 25*w. Let g(b) = l(b) - 20*q(b). Factor g(r).
-5*r*(r - 1)
Factor 0*t**4 + 0*t**2 + 2/11*t + 0 - 4/11*t**3 + 2/11*t**5.
2*t*(t - 1)**2*(t + 1)**2/11
Let h(p) be the second derivative of -p**6/90 + p**5/20 + 292*p. Factor h(k).
-k**3*(k - 3)/3
Let v be 9024/(-1269)*(-3)/2. Factor 4/3*l**3 - v - 16/3*l + 8/3*l**2.
4*(l - 2)*(l + 2)**2/3
Let j(m) = -m**2 - 11*m - 18. Let f be j(-8). Suppose 2*q + 21 = 5*q. Let 2*r**4 - 2*r**2 + q*r**3 - 2*r**5 - 4*r**3 + f*r**3 - 3*r**3 - 4*r = 0. What is r?
-1, 0, 1, 2
Suppose z + 25 + 29 = 0. Let n be (-26)/221 + z/(-170). Factor 4/5*m**4 - m**2 - 3/5*m + n + 3/5*m**3.
(m - 1)*(m + 1)**2*(4*m - 1)/5
Let g(t) = t**3 - t**2. Let h(j) = -4*j**4 + 5*j**3 + 23*j**2 - 24*j. Let u(f) = -3*g(f) - h(f). Suppose u(d) = 0. Calculate d.
-2, 0, 1, 3
Let o(w) be the third derivative of -1/27*w**3 + 22*w**2 + 0 + 1/270*w**5 + 0*w**4 + 0*w. Factor o(g).
2*(g - 1)*(g + 1)/9
Let t be (-315)/2205 - (-94)/70. Let -9/5*d - t - 3/5*d**2 = 0. Calculate d.
-2, -1
Suppose 3*y = q + 11, -3*q - y = -q + 8. Let u = q - -13. What is b in -8*b**2 + 8*b**2 + 39*b + 12*b**2 + 1 + u = 0?
-3, -1/4
Suppose 2*q + o + 0*o = -3, 4*q - 2*o = 6. Suppose q*f = 5*f - 10. Suppose -12*s**2 + 6*s - 10*s**f + s**2 = 0. What is s?
0, 2/7
Let m = 12 + -9. Suppose -4*d + 1454 = 3*j, -4*j = m*d + j - 1096. Factor 2895*l**3 + d*l**5 + 2532*l**2 + 6*l**5 + 7*l**5 + 1650*l**4 + 682*l + 422*l + 192.
3*(l + 1)**2*(5*l + 4)**3
Let i be (-7)/(-2) - 12/4. Let x be (8 + -4 + -4)/(2/2). Factor x*r + i*r**2 + 0.
r**2/2
Let s be 2/((-8)/12) + (-58)/(-18). Let b(v) be the second derivative of -1/18*v**4 + 4*v + 0 - s*v**3 + 0*v**2. Suppose b(q) = 0. What is q?
-2, 0
Let c(z) be the first derivative of 27*z**3 + 1 + 21/5*z**5 - 69/4*z**4 - 39/2*z**2 + 6*z. Factor c(m).
3*(m - 1)**3*(7*m - 2)
Solve -1/4*l + 0 - 1/4*l**3 + 1/2*l**2 = 0.
0, 1
Let d(s) = -7*s + 0*s**2 + 5*s + 3 - 5*s**2 + 4*s**2. Let t be d(-2). Solve 0*y + 1/4 - 1/2*y**2 + 0*y**t + 1/4*y**4 = 0 for y.
-1, 1
Let z(b) be the second derivative of -b**7/2520 - b**6/270 - b**5/120 - 13*b**3/3 + 39*b. Let k(h) be the second derivative of z(h). Factor k(n).
-n*(n + 1)*(n + 3)/3
Suppose 14*q**4 + 295*q**4 - 5*q**5 - 95*q**4 + 560*q**2 - 94*q**4 + 540*q**3 = 0. What is q?
-2, 0, 28
Let g = -149 + 155. Factor 17*u**3 - 12 - 3*u**4 - 23*u**3 + 3*u**2 + g*u**2 + 12*u.
-3*(u - 1)**2*(u + 2)**2
Let u(h) be the third derivative of -h**8/3360 + h**7/1260 + h**6/180 - 5*h**4/24 + 2*h**2. Let o(l) be the second derivative of u(l). Factor o(p).
-2*p*(p - 2)*(p + 1)
Let u(n) be the first derivative of n**6/48 - n**5/8 + 3*n**4/32 + 5*n**3/24 - n**2/4 + 697. Factor u(z).
z*(z - 4)*(z - 1)**2*(z + 1)/8
Let j be (-19)/(-7) + (-20)/(-70) + 3. Let l be 4 + ((-40)/j)/5*2. Factor 0*v - l*v**2 + 4/3.
-4*(v - 1)*(v + 1)/3
Let p = -535 - -2684/5. Factor -24/5*g**3 + 21/5*g**2 + p*g**4 - 6/5*g + 0.
3*g*(g - 1)**2*(3*g - 2)/5
Suppose -v + 2*f = -f - 137, -3*v + 4*f + 396 = 0. Let b = v - 126. Factor 14/3*x**4 + 0*x + 0 + 10/3*x**3 - 4/3*x**b.
2*x**2*(x + 1)*(7*x - 2)/3
Let a(r) be the third derivative of -r**5/240 - r**4/16 - 5*r**3/24 + 97*r**2. Factor a(k).
-(k + 1)*(k + 5)/4
Let s(f) be the first derivative of -f**6/120 - f**5/80 - 10*f + 23. Let v(x) be the first derivative of s(x). Suppose v(u) = 0. Calculate u.
-1, 0
Let j be (4 + 5)/(5202/68). Factor -12/17*z**2 + 0 - j*z**3 + 0*z.
-2*z**2*(z + 6)/17
Let i(c) be the second derivative of -5/6*c**4 + 0*c**2 - 3/10*c**5 + 1/3*c**6 + 4/21*c**7 + 12*c + 0 - 1/3*c**3. Find x such that i(x) = 0.
-1, -1/4, 0, 1
Let j(n) be the firs