- a*x - 6 - 3993/4*x**3 = 0.
-2/11
Let -25 - 20*c**3 - 80*c - 8*c**3 + 72*c**2 + 4*c**4 + 7 + 50 = 0. Calculate c.
1, 2
Let y(o) = o**2 + o + 1. Let q be y(-2). Determine m so that 18*m**5 - 28*m**2 + 9*m**4 + 20*m**2 - 3*m**4 - 16*m**q = 0.
-2/3, 0, 1
Let s(l) be the second derivative of 1/42*l**7 + 1/10*l**6 + 1/12*l**4 - 3*l + 0*l**2 + 0 + 0*l**3 + 3/20*l**5. Factor s(q).
q**2*(q + 1)**3
Let i(h) = h - 3. Let o be i(7). Suppose 0 = -4*d + 2*d + o. Suppose 0*l**d - 2/5*l**3 + 0 + 0*l = 0. Calculate l.
0
Let j be -6*3*(-6)/27. Let h be j + (3 - (-12)/(-3)). Determine s so that 0*s**2 + 0*s - 2/3*s**h + 0 = 0.
0
Let w be 6/(-14) + (-69)/(-63). Factor -2/3*n**2 - w + 4/3*n.
-2*(n - 1)**2/3
Let q be 28/21 - (-2)/3. Let x be (q/15)/1*3. Suppose 2/5*j**2 - 4/5*j + x = 0. What is j?
1
Solve 2*g**2 + g**3 + 0*g**3 - 3*g**2 - 2*g = 0 for g.
-1, 0, 2
Factor 43*h**3 - h**3 - 36*h**2 - 17*h - 37*h - 3*h**4 + 12*h + 39.
-3*(h - 13)*(h - 1)**2*(h + 1)
Let y = 1/27 + 8/27. Let f(j) be the first derivative of 1/15*j**5 + 0*j**3 - 1/3*j**2 + 1/6*j**4 - 1 - y*j. Factor f(n).
(n - 1)*(n + 1)**3/3
Let x(z) be the third derivative of -z**8/112 + 4*z**7/105 - z**5/6 + z**4/8 + z**3/3 - 21*z**2. What is w in x(w) = 0?
-1, -1/3, 1, 2
Let v(d) be the second derivative of -d**4/60 + d**3/15 + 3*d**2/10 + 26*d. Determine w, given that v(w) = 0.
-1, 3
Let v(s) be the second derivative of s**6/45 - s**5/30 - s**4/18 + s**3/9 + 2*s. Factor v(w).
2*w*(w - 1)**2*(w + 1)/3
Let -4/7*v + 2/7 + 2/7*v**2 = 0. What is v?
1
Let -2*u + 0*u**2 + 3*u**2 - 7*u + 0*u**2 = 0. Calculate u.
0, 3
Let s(c) = -4*c**3 + 2*c**2. Let a(p) = p**3 - p**2 + p. Let v(q) = -4*a(q) - 2*s(q). Factor v(f).
4*f*(f - 1)*(f + 1)
Suppose -8 = -4*d, 3*n + d = -n + 322. Let -10*s**3 - 106*s**3 + 32 - 24*s**4 - 8*s**2 + 29*s**5 + 7*s**5 + n*s = 0. What is s?
-1, -2/3, 1, 2
Let u be 33/55*10 - 3. Factor -1/7 - 1/7*s**u + 1/7*s + 1/7*s**2.
-(s - 1)**2*(s + 1)/7
Let o(j) be the first derivative of -j**5/35 + j**4/42 + j**3/21 + 3*j - 1. Let s(g) be the first derivative of o(g). Factor s(w).
-2*w*(w - 1)*(2*w + 1)/7
Let o(n) = -2 + 1 - n**4 - 3*n**3 + 3. Let m(c) = c**4 + c**3 - 1. Suppose 0 = 5*l - 5, -l - 7 = 5*y + 2*l. Let r(x) = y*m(x) - o(x). Solve r(b) = 0.
0, 1
Let t = -31 + 36. Factor -4/7*p**3 + 0 - 2/7*p**t + 0*p + 0*p**2 - 6/7*p**4.
-2*p**3*(p + 1)*(p + 2)/7
Let a(y) be the second derivative of -y**4/3 - 4*y**3 + 14*y**2 - 2*y + 12. Factor a(i).
-4*(i - 1)*(i + 7)
Let a(z) = 3*z**2 - 4*z + 9. Let l(b) = b**3 + 10*b**2 - b - 12. Let m be l(-10). Let u(h) = h**2 + h. Let y(w) = m*u(w) + a(w). Factor y(g).
(g - 3)**2
Let s(x) be the third derivative of -x**8/560 - x**7/168 - x**6/360 + x**5/120 - x**3/6 - x**2. Let n(k) be the first derivative of s(k). Factor n(b).
-b*(b + 1)**2*(3*b - 1)
Let m(n) be the second derivative of n**7/126 - n**6/45 - n**5/30 + 2*n**4/9 - 7*n**3/18 + n**2/3 + 18*n. What is x in m(x) = 0?
-2, 1
Let c be (1/(-5))/((-2)/4). Let l be (-1)/4 - 195/(-300). Suppose -l*x - 2/5*x**2 + c*x**3 + 2/5 = 0. Calculate x.
-1, 1
Let i = -67 - -69. Factor 9/4 - 3/2*h + 1/4*h**i.
(h - 3)**2/4
Let z(c) be the second derivative of -c**5/80 - c**4/24 + 7*c**3/24 - c**2/2 + 29*c. Suppose z(f) = 0. Calculate f.
-4, 1
Factor 2*b + 4/5 - 6/5*b**2.
-2*(b - 2)*(3*b + 1)/5
Factor -2/3 - 2/3*o + 4/3*o**2 - 2/3*o**5 - 2/3*o**4 + 4/3*o**3.
-2*(o - 1)**2*(o + 1)**3/3
Let d(y) be the second derivative of -1/36*y**4 + 0 - 3/2*y**2 + 3*y - 1/3*y**3. Factor d(c).
-(c + 3)**2/3
Let z(u) be the second derivative of -u**5/10 - u**4/6 + 8*u. Determine j, given that z(j) = 0.
-1, 0
Factor -1 + 7 + 0 - m**2 - 2.
-(m - 2)*(m + 2)
Suppose -h = -2 - 1. Let b be h/(-2 - 7/(-2)). Factor f - 2*f**2 - f**3 + b*f**2.
-f*(f - 1)*(f + 1)
Let l(p) be the first derivative of -p**5/80 + p**4/16 - p**3/8 + p**2/8 - p - 2. Let b(g) be the first derivative of l(g). Factor b(v).
-(v - 1)**3/4
Suppose -1/2*b**3 + 0 + 1/2*b**4 - 1/6*b**5 + 1/6*b**2 + 0*b = 0. Calculate b.
0, 1
Let l(w) be the first derivative of 4/3*w**2 + 23/9*w**3 - 1 - 4/3*w - 25/18*w**6 - 11/3*w**5 - 19/12*w**4. Suppose l(b) = 0. What is b?
-1, 2/5
Let g(q) be the second derivative of 5*q**4/12 - 40*q**3/3 + 160*q**2 + 3*q. Determine y so that g(y) = 0.
8
Let m(i) be the third derivative of i**5/60 - i**4/6 - 2*i**3 - 11*i**2. Factor m(f).
(f - 6)*(f + 2)
Let -2/3*m**3 + 0*m + 0 - 2/15*m**5 + 8/15*m**4 + 4/15*m**2 = 0. What is m?
0, 1, 2
Let l(y) = -3*y**2 + y + 3. Let b(k) = -k**2 - k - 1. Let w be ((-9)/6)/((-4)/(-8)). Let m(h) = w*b(h) - l(h). Suppose m(u) = 0. What is u?
-1/3, 0
Solve -3/2*m**4 + 0 - 23/8*m**3 + 3/8*m**2 + 1/4*m = 0 for m.
-2, -1/4, 0, 1/3
Let j(p) = -5*p**2 - 10*p - 45. Let m(n) = -9*n**2 - 21*n - 91. Let s(q) = 7*j(q) - 4*m(q). Find b such that s(b) = 0.
-7
Let f(a) = -13*a**4 - 39*a**3 - 3*a**2. Let i(d) = 38*d**4 + 116*d**3 + 10*d**2. Let r(v) = 14*f(v) + 5*i(v). Factor r(o).
2*o**2*(o + 4)*(4*o + 1)
Let j(k) = -k**3 + 2*k**2 + 3*k + 3. Let l(y) = 11*y + 7 - 2*y - 2*y**3 - 2*y + 4*y**2. Let w(n) = -14*j(n) + 6*l(n). Factor w(h).
2*h**2*(h - 2)
Let l = 15 + -10. Suppose -l*m - 3 = 3*d, -2*d - m = -7 + 2. Solve 1/2*s + s**3 + 3*s**2 - 5/2*s**d - 3/2*s**5 - 1/2 = 0 for s.
-1, 1/3, 1
Let l be 2/(-201)*262/(-4). Let g = l + 1/67. Factor -1/3*a**5 - 1/3*a + 1/3 + 1/3*a**4 + 2/3*a**3 - g*a**2.
-(a - 1)**3*(a + 1)**2/3
Factor -2/7*a**4 + 0 + 6/7*a**3 - 6/7*a**2 + 2/7*a.
-2*a*(a - 1)**3/7
Let c(h) be the second derivative of 0*h**2 - h - 1/63*h**7 + 0*h**6 + 0 + 0*h**4 + 1/30*h**5 + 0*h**3. Factor c(y).
-2*y**3*(y - 1)*(y + 1)/3
Factor 3/5*z**2 + 0*z - 3/5.
3*(z - 1)*(z + 1)/5
Suppose -2 - 31 = -3*a. Let v = -8 + a. Suppose 0 - 1/4*q**v + 1/4*q + 0*q**2 = 0. What is q?
-1, 0, 1
Let v(d) be the third derivative of d**2 + 0 - 1/42*d**4 + 0*d - 1/21*d**3 - 1/210*d**5. Determine n, given that v(n) = 0.
-1
Suppose 5*q + 4*m = 19, 5*q - m = -3*m + 17. Find f such that 0*f + 12/5*f**q - 8/5*f**2 + 48/5*f**4 + 0 - 16*f**5 = 0.
-2/5, 0, 1/2
Let d be (-1)/(-4)*(12 + 0). Suppose 2*a - d*a = 0. Factor a + 0*t + 0*t**2 - 2/9*t**3.
-2*t**3/9
Suppose -w = -3*a - 5, -5*w + 2*a = 6 - 18. Factor 4/5*q - 2/5*q**w + 0.
-2*q*(q - 2)/5
Factor 16 + 2*s + 8*s + 20*s**2 + 22*s + 4*s**3.
4*(s + 1)*(s + 2)**2
Let h(d) be the second derivative of 2*d**6/45 + d**5/3 + 8*d**4/9 + 8*d**3/9 - 24*d. Find f such that h(f) = 0.
-2, -1, 0
Let n(x) be the first derivative of -x**6/30 - 3*x**5/25 - x**4/10 + 2*x**3/15 + 3*x**2/10 + x/5 + 5. Factor n(t).
-(t - 1)*(t + 1)**4/5
Suppose -6 = -j + 3*b + 8, -5*j - 3*b - 2 = 0. Factor -3*d**2 + 2 - j.
-3*d**2
Let r = 20 - 59/3. Let f(z) be the first derivative of 1/4*z**4 + 3 + 0*z - r*z**3 + 0*z**2. Factor f(h).
h**2*(h - 1)
Let k be ((-4)/5)/(5/(-25)). Find n such that -n - 6*n**k - n + 2*n**3 + 6*n**2 + 0*n**2 = 0.
-1, 0, 1/3, 1
Let g be (-2)/3 - 86/(-120). Let s(m) be the third derivative of g*m**5 - 3/40*m**6 + 0 + 0*m**4 + 0*m**3 + 0*m + 3/70*m**7 - 1/112*m**8 + 2*m**2. Factor s(j).
-3*j**2*(j - 1)**3
Let w(i) be the first derivative of -i**4/30 + 2*i**3/9 - 7*i**2/15 + 2*i/5 - 13. Factor w(a).
-2*(a - 3)*(a - 1)**2/15
Suppose 0 = 5*u + 5*u - 20. Let v(w) be the third derivative of -1/30*w**5 + 0*w + 0 + 1/42*w**4 + 0*w**3 + u*w**2. Factor v(m).
-2*m*(7*m - 2)/7
Suppose -2*p + 0*p = 0. Let d(f) be the third derivative of 0 - 1/60*f**5 - 1/240*f**6 + 2*f**2 + p*f**3 + 0*f - 1/48*f**4. Factor d(q).
-q*(q + 1)**2/2
Let a(q) = q**2 + 2*q + 1. Let u = 2 + -3. Let j be a(u). Determine k, given that j*k - 2*k + 0*k - 3*k**2 = 0.
-2/3, 0
Let -9/2*x**2 - 6*x**3 + 27/2*x - 3 = 0. Calculate x.
-2, 1/4, 1
Let m(a) = -5*a**2 + 2*a + 3. Let w(y) = -26*y**2 + 10*y + 16. Let c(k) = -16*m(k) + 3*w(k). Let c(b) = 0. What is b?
0, 1
Let m be 1*4*(-11)/(-55). Suppose 3 = 2*t - 1. Factor 2/5 + 2/5*s**t + m*s.
2*(s + 1)**2/5
Factor 0*o - 8/9*o**2 + 8/9*o**3 - 2/9*o**4 + 0.
-2*o**2*(o - 2)**2/9
Let 3*i**2 + 61 + 37*i + 239 + 18*i + 5*i = 0. What is i?
-10
Let v(i) = i**3 + 16*i**2 - 17*i + 4. Let f be v(-17). Let 2*h**4 + 13*h**4 - 6*h**2 + 8*h + 48*h**3 + 42*h**2 + h**f = 0. What is h?
-2, -1/2, 0
Let s be 10/(-25) - 71/(-15). Let k = s + -23/6. Determine o so that 15/4*o**2 + 5*o**4 - 33/4*o**3 + 0 - k*o = 0.
0, 1/4, 2/5, 1
Find h such that 9/2*h**4 + 192