/5 + 1/5*i**4 - 12/5*i**3 - 28/5*i + 6*i**2.
(i - 9)*(i - 1)**3/5
Suppose 292*h - 4 = 290*h. Let i(m) be the first derivative of 0*m**h + 3/4*m**4 + 3/5*m**5 + 2 + 0*m + 0*m**3. Let i(l) = 0. Calculate l.
-1, 0
Let x(z) be the first derivative of 3*z**4/4 - 5*z**3 - 158. Factor x(o).
3*o**2*(o - 5)
Let b(s) be the first derivative of -28*s**4 - 76*s**3 - 60*s**2 - 4*s - 131. Let b(y) = 0. Calculate y.
-1, -1/28
Let f(r) be the first derivative of r**8/5880 - 2*r**3/3 - 3. Let c(g) be the third derivative of f(g). Find n such that c(n) = 0.
0
Let z(o) be the second derivative of o**7/21 + 2*o**6/15 - o**5/10 - o**4/3 + 3*o + 2. Factor z(p).
2*p**2*(p - 1)*(p + 1)*(p + 2)
Find y such that y**3 + 3978*y**5 + 18*y**4 - 18*y**2 - 3976*y**5 - 3*y**3 = 0.
-9, -1, 0, 1
Let p(o) be the first derivative of o**3/27 + 8*o**2 - 778. Factor p(x).
x*(x + 144)/9
Let a(p) be the first derivative of 0*p + 17/8*p**4 - 13/6*p**3 + 33 - 7/10*p**5 + 3/4*p**2. Let a(o) = 0. Calculate o.
0, 3/7, 1
Let i(c) be the second derivative of 5*c**4/12 - 5*c**3/6 + 573*c. Find k, given that i(k) = 0.
0, 1
Let f(s) = s**4 - 3*s - 1. Let c(l) = -8*l**4 + 128*l**3 - 124*l**2 - 110*l + 132. Let v(b) = 2*c(b) + 12*f(b). Find t such that v(t) = 0.
-1, 1, 63
Let l(r) = -r**3 + 24*r**2 + 2*r - 48. Let x be l(24). Suppose q + x = 3*n - 13, q = -3*n + 17. Let 11/2*v**q + v + 0 + 7/2*v**4 + 8*v**3 = 0. Calculate v.
-1, -2/7, 0
Let m(i) be the second derivative of -i**4/24 + 5*i**3/12 - i**2 + 9*i. Factor m(o).
-(o - 4)*(o - 1)/2
Factor 113*f**5 - 230*f**5 + 118*f**5 - 2*f**4 + f**3.
f**3*(f - 1)**2
Let m(y) be the second derivative of -y**5/110 + 25*y**4/66 - 8*y**3/11 + 2*y - 99. Find t such that m(t) = 0.
0, 1, 24
Let y be 27 + (-4)/(1 + -5). Suppose -y = -7*x - 14. Find p such that 3*p**x - 18/5*p + 3/5 = 0.
1/5, 1
Let k be 460/69*(1 - 4/5). Suppose 0 + 20/3*b - k*b**2 = 0. Calculate b.
0, 5
Suppose 110*n - 107*n - 4*j + 15 = 0, -4*j = 5*n - 39. Factor 0*v + v**2 - 1/3*v**n + 0.
-v**2*(v - 3)/3
Find b such that -9*b**2 - 38*b**3 - 43*b**3 + 120*b**3 - 15 - 42*b**3 + 27*b = 0.
-5, 1
Let x(k) = 4*k**2 + 24*k - 36. Let i(h) be the first derivative of 1/3*h**3 - 12*h + 5 + 4*h**2. Let p(v) = 8*i(v) - 3*x(v). Factor p(m).
-4*(m - 1)*(m + 3)
Find h such that 10/19*h - 8/19*h**2 - 2/19*h**3 + 0 = 0.
-5, 0, 1
Let f be 35/100 - 20/(-16). Let l be (-1)/3 - (-17)/15. Find p, given that -f*p**4 + 0*p + 0 - 2*p**3 - 2/5*p**5 - l*p**2 = 0.
-2, -1, 0
Factor 2/5*u**5 + 0 - 24/5*u + 18/5*u**4 - 66/5*u**3 + 14*u**2.
2*u*(u - 1)**3*(u + 12)/5
Let p(x) be the first derivative of -2*x**5/5 + 2*x**4 + 4*x**3/3 - 12*x**2 - 18*x + 5. Factor p(s).
-2*(s - 3)**2*(s + 1)**2
Let f be ((-231)/22 - -10)/(7/(-42)). What is r in -f*r + 3/2*r**2 + 3/2 = 0?
1
Let o(r) be the first derivative of -5*r**3/3 + 175*r**2 - 6125*r + 28. Factor o(b).
-5*(b - 35)**2
Suppose r + 2*r = -2*u + 17, 0 = -u + 4. Let b(x) = -2*x**2 - 8*x + 19. Let k(l) = -3*l**2 - 8*l + 20. Let v(s) = r*k(s) - 4*b(s). Let v(f) = 0. Calculate f.
4
What is b in 176/5*b**2 + 4/5*b**5 - 32 - 152/5*b**3 - 16/5*b**4 + 148/5*b = 0?
-5, -1, 1, 8
Let c be 1/5 - (9 - 704/80). Let o(t) be the third derivative of c*t**4 + 9*t**2 + 0 - 1/24*t**6 + 0*t**5 + 0*t**3 + 0*t + 5/336*t**8 + 0*t**7. Factor o(a).
5*a**3*(a - 1)*(a + 1)
Let u be ((-24)/(-32))/(-4*12/(-128)). Find q, given that 0*q**3 + 0 + u*q**2 + 0*q - 1/2*q**5 - 3/2*q**4 = 0.
-2, 0, 1
Let x(f) be the second derivative of f**7/5040 + f**6/720 - f**4/12 + f. Let p(w) be the third derivative of x(w). Factor p(r).
r*(r + 2)/2
Solve 5/3*s**3 - 5/3*s - 5*s**2 + 10/3 + 5/3*s**4 = 0.
-2, -1, 1
Let p = -62 - -67. Suppose 0*f = p*f. Factor f + 0*j - 2/9*j**5 - 2/9*j**2 + 2/9*j**4 + 2/9*j**3.
-2*j**2*(j - 1)**2*(j + 1)/9
Let c(u) be the second derivative of -1/28*u**4 - 2/7*u**3 - 6/7*u**2 + 0 - 9*u. Factor c(x).
-3*(x + 2)**2/7
Let k(b) be the third derivative of -4*b**5/45 - 37*b**4/36 + 5*b**3/3 - 2*b**2 + 97*b. Let k(a) = 0. Calculate a.
-5, 3/8
Let y(m) = 17*m**2 + 1 - 16*m**2 + m - 3 + 1. Let c(x) = 8*x**2 - 4*x - 4. Let v(f) = c(f) - 4*y(f). Suppose v(k) = 0. Calculate k.
0, 2
Let v(b) be the second derivative of -b**6/80 + 9*b**5/40 - 9*b**4/8 - 4*b - 2. Determine t, given that v(t) = 0.
0, 6
Let p(f) be the first derivative of -f**7/5880 + f**6/360 - f**5/140 + 10*f**3/3 + 24. Let u(c) be the third derivative of p(c). Factor u(a).
-a*(a - 6)*(a - 1)/7
Suppose -49*k + 53*k = -48. Let l = k - -25/2. What is z in z**4 - 1/2*z + 1/2*z**3 + l - 3/2*z**2 = 0?
-1, 1/2, 1
Let k(b) = -b**2 + 3*b + 6. Let a be k(0). Factor 0 + 0 + 8*t**3 - a*t**3 - 4*t**2.
2*t**2*(t - 2)
Let 35*u + 17 - 5*u + 5*u**2 + 8 = 0. Calculate u.
-5, -1
Find h such that -52/3*h + 16*h**2 + 4/3 = 0.
1/12, 1
Factor 6*y - 2 - 1/2*y**4 + 3*y**3 - 13/2*y**2.
-(y - 2)**2*(y - 1)**2/2
Factor -2 - 4*u**3 - 135*u**2 + 2 - 24*u + 163*u**2.
-4*u*(u - 6)*(u - 1)
Let s(z) be the first derivative of -z**4/9 + 4*z**3/9 - 4*z**2/9 + 12. Solve s(x) = 0.
0, 1, 2
Let j(d) be the third derivative of 2*d**7/105 + 11*d**6/15 + 47*d**5/5 + 110*d**4/3 + 200*d**3/3 + 79*d**2. Factor j(u).
4*(u + 1)**2*(u + 10)**2
Suppose 5*s - 8 = -3. Suppose 10 = 5*w + 3*q, w + 7 = -5*q - 13. Factor w*y**2 + 3/2*y**3 + s + 9/2*y.
(y + 1)*(y + 2)*(3*y + 1)/2
Let z = 16/821 - -757/3284. Factor 0 - z*j + 1/4*j**3 + 1/4*j**4 - 1/4*j**2.
j*(j - 1)*(j + 1)**2/4
Let k = -130181/3 + 43398. Factor k*u**2 + 1/3 - 2*u**3 - 8/3*u.
-(u - 1)**2*(6*u - 1)/3
Factor 60*n**2 - 580171*n + 580171*n - 2*n**3.
-2*n**2*(n - 30)
Let q(k) = -k**2 + 2*k + 19. Let h(r) = 4*r**2 - 3*r - 59. Let d(a) = -6*h(a) - 21*q(a). Find o, given that d(o) = 0.
-5, -3
Let z be 2/9*-3*(-5 - -2). Let 8/7 + 0*b - 2/7*b**3 - 6/7*b**z = 0. What is b?
-2, 1
Let d(x) = 3*x**4 + x**3 + 7*x**2 + 4*x - 5. Let j(b) = 2*b**4 + b**3 + 4*b**2 + 2*b - 3. Suppose 9*u = 3*u - 36. Let k(t) = u*d(t) + 10*j(t). Factor k(s).
2*s*(s - 1)*(s + 1)*(s + 2)
Suppose -3 = x - 2*x. Suppose -c + 3*h - 8 = 0, h + 0*h - 16 = -x*c. Find l such that 4*l - 3 + 8*l**2 + c*l**3 + 1 + 2 = 0.
-1, 0
Let t(a) be the first derivative of 3*a**4/8 - 8*a**3 + 45*a**2/4 - 46. Find f such that t(f) = 0.
0, 1, 15
Let l(y) be the second derivative of y**6/6 + 3*y**5/2 + 5*y**4/4 - 25*y**3/3 + 106*y. Factor l(n).
5*n*(n - 1)*(n + 2)*(n + 5)
Let 2/7*m**3 + 2*m**2 - 8 - 8/7*m = 0. What is m?
-7, -2, 2
Let b be (-14)/(-4)*(-2 + (6 - 2)). Let u(y) be the third derivative of -5*y**2 - 1/105*y**b + 0 + 1/6*y**4 + 0*y + 0*y**6 + 0*y**3 + 1/10*y**5. Factor u(d).
-2*d*(d - 2)*(d + 1)**2
Suppose -a + z = 3, a + 5*z - 15 = -0. Let d(f) be the first derivative of 0*f + a*f**2 + 9/4*f**4 - f**3 - 2 - 6/5*f**5. Factor d(c).
-3*c**2*(c - 1)*(2*c - 1)
Let b be ((352/(-56))/(-11))/(36/14). Solve 0 + 4/9*s**3 - b*s**4 - 4/9*s + 2/9*s**2 = 0 for s.
-1, 0, 1, 2
Let t(u) = -4*u**2 - 5*u - 6. Let v(p) = -p**2 - p - 1. Let r be (-1)/(-3) - (-209)/(-33). Let s(g) = r*v(g) + t(g). Find d such that s(d) = 0.
-1/2, 0
Let w be ((-173)/(-3114))/(1/4). Suppose 2/9 + 0*a - w*a**2 = 0. Calculate a.
-1, 1
Let z be ((-44)/(-10))/((-11)/(-55)). Let w(m) = -7*m**4 - 23*m**3 + 11*m + 11. Let l(v) = -2*v**4 - 6*v**3 + 3*v + 3. Let s(k) = z*l(k) - 6*w(k). Factor s(x).
-2*x**3*(x - 3)
Let o be (-5 - -5)/(-3)*2/(-2). Let i be (2/12 - o)/(1/3). Factor 0 + 0*y + 1/2*y**3 + 0*y**4 - i*y**5 + 0*y**2.
-y**3*(y - 1)*(y + 1)/2
Suppose 8*h + h = 0. Let x(j) be the third derivative of -1/6*j**4 + 0*j**3 + h + 1/30*j**5 + 0*j + j**2. Determine l so that x(l) = 0.
0, 2
Suppose -22 = -15*y + 23. Let r(c) be the first derivative of 2/5*c**2 - 2/15*c**3 - 2/5*c - y. Factor r(d).
-2*(d - 1)**2/5
Let s(j) be the second derivative of 9*j + 1/9*j**3 + 1/6*j**2 + 1/36*j**4 - 1. Factor s(p).
(p + 1)**2/3
Factor -9/2*z + 0 + 5*z**2 - 1/2*z**3.
-z*(z - 9)*(z - 1)/2
Suppose -4*t + 6*t = 10. Factor 2*b**t + 3*b**5 - 10*b**3 - 2*b + 7*b.
5*b*(b - 1)**2*(b + 1)**2
Let g = -15 + 20. Let r be 3/((-9)/6) + g. Factor -39*s**r + 17*s - 15*s**4 - 9*s**2 - 3*s**2 - 5*s.
-3*s*(s + 1)*(s + 2)*(5*s - 2)
Let m be (-40)/(-18) + (-86)/(-18) + -5. Suppose 0 = m*t - 5*t. Factor t*s - 1/5 + 2/5*s**2 + 0*s**3 - 1/5*s**4.
-(s - 1)**2*(s + 1)**2/5
Let f(h) = 56*h - 613. Let c be f(11). Solve -3/2*w**4 - 9/2*w**2 - 9/2*w**c - 3/2*w + 0 = 0 for w.
-1