2)/7
Solve -2*t**3 - 2*t**3 + 10*t - 6*t**3 + 2 - 2*t**2 = 0.
-1, -1/5, 1
Let u(x) be the second derivative of -x**5/20 - 3*x. Factor u(w).
-w**3
Factor 0*k**2 + 1/4*k + 0 - 1/4*k**3.
-k*(k - 1)*(k + 1)/4
Let w(i) be the first derivative of i**7/175 - i**6/90 + i**5/150 - i**3/3 - 4. Let p(z) be the third derivative of w(z). Factor p(y).
4*y*(2*y - 1)*(3*y - 1)/5
Let o(b) = 9*b - 33. Let c be o(4). Factor 0 - 2/9*z**4 + 2/9*z**c - 2/9*z**5 + 0*z + 2/9*z**2.
-2*z**2*(z - 1)*(z + 1)**2/9
Let q(v) = v + 1. Let p(c) be the third derivative of -c**5/30 + c**3/6 + 5*c**2. Let i(f) = p(f) - q(f). Suppose i(z) = 0. Calculate z.
-1/2, 0
Let n(q) = -5*q**4 + 2*q**3 + 18*q**2 - 28*q + 10. Let c(t) = -15*t**4 + 7*t**3 + 53*t**2 - 83*t + 30. Let x(y) = -3*c(y) + 8*n(y). Factor x(z).
5*(z - 1)**3*(z + 2)
Let l(v) be the third derivative of v**5/15 - v**4/3 + 2*v**3/3 + 4*v**2. Find u such that l(u) = 0.
1
Suppose -a = -5*l + 4 + 3, 4*a = 3*l + 6. Let g(q) be the second derivative of 4*q + 1/14*q**4 + 0 + 2/21*q**3 - 1/7*q**l. Factor g(m).
2*(m + 1)*(3*m - 1)/7
Suppose 5*h = 4*c - 18, 5*h = -3*c - 0*h - 4. Suppose -z - 2*z - 3*z**5 + 3*z**4 + 6*z**3 - 3 + 6 - 6*z**c = 0. Calculate z.
-1, 1
Suppose q + 10 = 6*q. Let a = 72 + -141/2. Solve -3/2*s**q + 0 + a*s = 0.
0, 1
Suppose r = 2*r + 3*q - 26, -3*q + 60 = 3*r. Let g = r + -14. Factor -2/3*f**2 - 2/9 + 2/3*f + 2/9*f**g.
2*(f - 1)**3/9
Let q(g) be the first derivative of -g**6/9 + 7*g**5/30 + g**4/12 - 13. Factor q(t).
-t**3*(t - 2)*(4*t + 1)/6
Let a(o) = -o**5 + o**4 + o - 1. Let x(k) = -680*k**5 - 594*k**4 + 518*k**3 + 572*k**2 + 162*k + 22. Let g(c) = -6*a(c) - x(c). What is j in g(j) = 0?
-1, -2/7, 1
Suppose 13*o**2 - 5*o**2 + 16*o**3 - 8 - 20*o**5 - 32*o**4 + 32*o**2 + 8*o - 4*o = 0. What is o?
-1, 2/5, 1
Let c be (-3)/(-3) + -1 + 3. What is l in 2*l**3 + 0*l**c - 4*l + 0*l**3 - 3*l**3 - 4*l**2 = 0?
-2, 0
Solve -1 - 3/2*f**2 + 5/2*f = 0 for f.
2/3, 1
Let i be -2 + (68/20 + 1 - 2). Suppose 2/5*w**3 + i*w**5 + 4/5*w**4 + 0*w + 0 + 0*w**2 = 0. What is w?
-1, 0
Let g(f) be the third derivative of -f**7/350 + 7*f**2. Suppose g(d) = 0. Calculate d.
0
Let c be 169/117 + 1*-1. Let d = 1 + -1. Determine f, given that 14/9*f**2 + d - c*f = 0.
0, 2/7
Let m(f) be the first derivative of -f**4/2 + 2*f**3/3 + 1. Factor m(j).
-2*j**2*(j - 1)
Let n be 15*(4 - 69/21). Let v = -319/35 + n. Suppose 2/5*f**4 - 12/5*f**3 - 24/5*f + v + 26/5*f**2 = 0. What is f?
1, 2
Let p = 1 - -1. Let q(g) be the second derivative of 0 + g**3 - 1/2*g**4 - g**2 + 1/10*g**5 + p*g. Factor q(t).
2*(t - 1)**3
Determine c so that 0 - 4/3*c**2 - 16/3*c = 0.
-4, 0
What is w in 2/3 - 5/3*w + 4/3*w**2 - 1/3*w**3 = 0?
1, 2
Let i(t) be the first derivative of 1/8*t**4 + 3 + 1/2*t**3 + 1/2*t + 3/4*t**2. Find l such that i(l) = 0.
-1
Let s(m) be the first derivative of m**8/168 - m**6/30 + m**4/12 - m**2 - 3. Let x(d) be the second derivative of s(d). Factor x(r).
2*r*(r - 1)**2*(r + 1)**2
Let x(d) be the second derivative of d**5/5 - d**4/6 - 4*d. Factor x(v).
2*v**2*(2*v - 1)
Let q = 89/4 + -22. Let p(r) be the second derivative of 0*r**2 - 1/3*r**3 + 0 + r + 1/4*r**4 + q*r**5. Factor p(t).
t*(t + 1)*(5*t - 2)
Let m(u) be the first derivative of u**6/120 - u**5/12 + u**4/3 - 2*u**3/3 + 3*u**2 + 6. Let r(f) be the second derivative of m(f). Factor r(g).
(g - 2)**2*(g - 1)
Let q(b) be the second derivative of 10*b**7/21 - 44*b**6/15 + 23*b**5/5 + 14*b**4/3 - 56*b**3/3 + 16*b**2 + b - 9. Let q(y) = 0. What is y?
-1, 2/5, 1, 2
Let n = -278 - -281. Factor 3/2*s**3 + 0 + n*s + 9/2*s**2.
3*s*(s + 1)*(s + 2)/2
Let h(o) be the second derivative of 3/80*o**5 + 0*o**3 - 1/40*o**6 - 1/56*o**7 + 0 + 1/16*o**4 + 0*o**2 + o. Factor h(i).
-3*i**2*(i - 1)*(i + 1)**2/4
Let o(t) be the second derivative of t**4/42 + t**3/7 + 2*t**2/7 + 20*t. Let o(s) = 0. What is s?
-2, -1
Let m(j) be the second derivative of 3*j**5/20 + 7*j**4/2 + 13*j**3/2 - 72*j. Factor m(n).
3*n*(n + 1)*(n + 13)
Let t(a) be the second derivative of -a**6/120 - 3*a**5/40 - 13*a**4/48 - a**3/2 - a**2/2 - a. Factor t(y).
-(y + 1)**2*(y + 2)**2/4
Let g = 637/414 + -8/207. Factor 0*k - g*k**2 + 3/2.
-3*(k - 1)*(k + 1)/2
Suppose 0 = 3*o - d - 2, -2*o + 0*d - d + 3 = 0. Let w = -1 + o. Factor 0 - 1/2*y**4 - y**3 + w*y - 1/2*y**2.
-y**2*(y + 1)**2/2
Factor -9/5*w + 12/5 - 3/5*w**2.
-3*(w - 1)*(w + 4)/5
Let q be (-3)/((-15)/(-2)) - 2/(-5). Factor -1/4*t**4 + q + 0*t + 0*t**2 + 1/4*t**3.
-t**3*(t - 1)/4
Let d(b) be the second derivative of b**4/12 - 2*b**3/3 + 3*b**2/2 + 12*b. Solve d(k) = 0 for k.
1, 3
Let g be (-4402)/12 - 1/6. Let d = 2573/7 + g. Let 2/7*j**3 + 0 - 2/7*j**2 - d*j = 0. Calculate j.
-1, 0, 2
Let c(v) be the first derivative of v**3/12 + 3*v**2/8 - v + 8. What is z in c(z) = 0?
-4, 1
Factor 0*b - 1 - 1/4*b**3 + 3/4*b**2.
-(b - 2)**2*(b + 1)/4
Let p(m) be the second derivative of m**8/112 - 3*m**6/40 + m**5/10 - m**2 - m. Let w(b) be the first derivative of p(b). Suppose w(l) = 0. Calculate l.
-2, 0, 1
Let y(s) = -s**3 - 3*s**2 - s + 2. Let d be y(-2). Let c(b) be the first derivative of -3 - 1/6*b**4 + d*b**3 + 0*b + 1/3*b**2. Find t such that c(t) = 0.
-1, 0, 1
Let s(v) be the third derivative of 0*v - 1/12*v**4 - 1/6*v**3 + 0 + 1/210*v**7 + 2*v**2 + 1/60*v**6 + 0*v**5. Let s(z) = 0. What is z?
-1, 1
Let y be 0/(4/((-8)/4)). Let t(d) be the first derivative of 0*d + 1/9*d**3 - 1/18*d**6 + 1/12*d**4 - 1/15*d**5 + y*d**2 + 1. Find o, given that t(o) = 0.
-1, 0, 1
Let h = 206/87 - 30/29. Let 0 - 2/3*j - 2/3*j**3 - h*j**2 = 0. Calculate j.
-1, 0
Let a = 111 + -79. Factor -3*n**3 - 32 + 6*n**2 + a.
-3*n**2*(n - 2)
Let a(w) be the first derivative of -w**4/16 + w**3/12 - 3. Factor a(o).
-o**2*(o - 1)/4
Let m(x) = -x**4 + x**2 - 1. Let i(v) = -6*v**4 + v**3 + 7*v**2 - 5. Let y(c) = -i(c) + 5*m(c). Factor y(a).
a**2*(a - 2)*(a + 1)
Let r(t) = t**2 - 6*t - 3. Let w(j) = -62*j + 68*j - 2 + 6 - 2*j**2. Let f(k) = 4*r(k) + 3*w(k). Let f(s) = 0. Calculate s.
-3, 0
Let x be 4/(-10) + 4/10. Suppose 0*u - 2*u = x. Factor u*s + 0 + 0*s**2 + 2/9*s**3.
2*s**3/9
Suppose 5*n = 3*i + 10, 4*i - 2*n + n = -2. Suppose 0*s = -3*s + 6. Factor -2/3*a**3 + 2/3*a**4 + 2/3*a - 2/3*a**s + i.
2*a*(a - 1)**2*(a + 1)/3
Let x(j) = -3*j. Let p be x(-2). Let r be 2/(-4)*(6 - p). Let 0*i**2 + r*i + 0 + 2/9*i**3 - 4/9*i**4 + 2/9*i**5 = 0. Calculate i.
0, 1
Let d be 1/(-3) + 2/6. Suppose -4*r + 17 = 3*o - 3, -4*o = d. Factor 7 - 2 - 7*m - 3 + r*m**2.
(m - 1)*(5*m - 2)
Let s(t) = -2*t - 2. Let m be s(-2). Solve 7*j**2 - 5*j**m - j**2 + 3*j**2 = 0.
0
Suppose -16/5*v**3 - 44/5*v**2 - 2/5*v**4 - 48/5*v - 18/5 = 0. What is v?
-3, -1
Let y(p) be the first derivative of 1/4*p - 1/4*p**2 + 3 + 1/12*p**3. Find o, given that y(o) = 0.
1
Find s, given that 0*s + 1/5*s**4 - 1/5*s**3 + 1/5*s**5 + 0 - 1/5*s**2 = 0.
-1, 0, 1
Let g(l) = 6*l**5 - 4*l**4 - 6*l**3 - 4*l. Let q(b) = 13*b**5 - 9*b**4 - 13*b**3 - 9*b. Let i(n) = -9*g(n) + 4*q(n). Factor i(a).
-2*a**3*(a - 1)*(a + 1)
Let n be (-2)/(-5)*70/84. Let c = 8 + -8. Find y such that n*y**3 + 0*y - 1/3*y**5 - 1/3*y**2 + c + 1/3*y**4 = 0.
-1, 0, 1
Let h(a) be the second derivative of a**5/130 + a**4/13 + 3*a**3/13 + 4*a**2/13 - 37*a + 1. Let h(z) = 0. What is z?
-4, -1
Let v(s) be the second derivative of s**8/3360 - s**6/120 - s**5/30 - 3*s**4/4 + 8*s. Let t(k) be the third derivative of v(k). Factor t(j).
2*(j - 2)*(j + 1)**2
Let s = 237/4 - 59. Determine j so that 1/4*j**2 - s*j**3 - 3/4*j**5 + 0 + 0*j - 5/4*j**4 = 0.
-1, 0, 1/3
Factor 16/3*b**2 + 4/3 + 14/3*b - 2/3*b**5 + 4/3*b**3 - 4/3*b**4.
-2*(b - 2)*(b + 1)**4/3
Suppose -s = 3*p - 2, 0 = 6*p - 8*p - 2. Factor -2/3*b**3 + 2/3*b**s + 0*b + 2/3*b**4 - 2/3*b**2 + 0.
2*b**2*(b - 1)*(b + 1)**2/3
Let z(j) be the first derivative of 18*j**6 + 45*j**5 + 129*j**4/4 - 6*j**2 - 3. Find k, given that z(k) = 0.
-1, -2/3, 0, 1/4
Find y such that -2/5 + 3/5*y**4 + 4/5*y**5 - 13/5*y**3 + 9/5*y - 1/5*y**2 = 0.
-2, -1, 1/4, 1
Factor -1/2*f**2 - 3/4*f + 3/4*f**4 - 1/4 + 1/4*f**5 + 1/2*f**3.
(f - 1)*(f + 1)**4/4
Let g(u) = u**3 + 7*u**2 + u + 7. Let o be g(-7). Suppose -3*r + 13 - 4 = o. Suppose -4/7*l**2 - 6/7*l**5 + 4/7*l**4 + 6/7*l**r + 0*l + 0 = 0. Calculate l.
-1, 0, 2/3, 1
Let f be ((-273)/52)/(-1 + 0 + -2). Factor 1/2*b + 0 + 3/4*b**2 - 3*b**3 + f*b