- i*h**3 + 3*h**2 + 59*h**3 - 10*h**5 - 4*h**4 = 0.
-1, -2/5, 0, 1
Let j be 9/3 - (-10 - -7). Factor -j*u**3 + u**4 + 2*u**3 + u**4 - 3*u**5 + 5*u**5.
2*u**3*(u - 1)*(u + 2)
Factor -4*g**3 + 2 - 1/2*g**5 + 9/2*g + g**2 - 3*g**4.
-(g - 1)*(g + 1)**3*(g + 4)/2
Let t(r) be the first derivative of 1/15*r**6 - 13 + 4/5*r - 8/25*r**5 + 2/5*r**4 - r**2 + 4/15*r**3. Factor t(x).
2*(x - 2)*(x - 1)**3*(x + 1)/5
Suppose -4*i = -i - 5*t - 37, -3*t - 15 = 0. Factor -4*m**i + 2*m**4 - 6*m**2 - 14*m + 8*m**3 + 1 + 6*m + 7.
-2*(m - 2)**2*(m - 1)*(m + 1)
Let h(k) = -20*k + 6. Let r be h(-5). Factor c**2 - r*c + 211*c - 1 - 106*c + c**3.
(c - 1)*(c + 1)**2
Let x be (-50)/(-275) - (-1 + 436/(-22)). Let q be (-4 - (-158)/42) + 12/x. Factor q*w - 1/3*w**3 + 1/3 - 1/3*w**2.
-(w - 1)*(w + 1)**2/3
Let d be (-2 + 1 - -67)*2/4. Let c = d + -30. Find h such that -9/2*h**c + 3/2*h**2 + 5/2*h + 1/2 = 0.
-1/3, 1
Suppose -3*k = -3*u - 12, 0 = 5*k + 5*u - 8 - 22. Let c(s) be the first derivative of 4/7*s - 2/7*s**3 + 5 + 2/35*s**k - 1/7*s**2 + 1/14*s**4. Factor c(v).
2*(v - 1)**2*(v + 1)*(v + 2)/7
Let c(l) be the third derivative of -l**5/150 + 19*l**4/60 + 4*l**3/3 - 93*l**2. Factor c(n).
-2*(n - 20)*(n + 1)/5
Let a(j) be the third derivative of -8*j**6/3 + 28*j**5/3 - 95*j**4/8 + 15*j**3/2 - 131*j**2. Factor a(f).
-5*(f - 1)*(8*f - 3)**2
Let h(l) be the third derivative of -l**5/12 - 5*l**4/4 - 15*l**3/2 - 52*l**2. Factor h(c).
-5*(c + 3)**2
Let u = 567 + -563. Let j(n) be the second derivative of 1/12*n**3 + 0*n**2 - 1/48*n**u + 0 - 10*n. Solve j(q) = 0.
0, 2
Suppose 0 = -6*t + 4*t + 10. Suppose -t*r = -25*r + 80. Find b such that -4/9*b + 4/9*b**3 - 2/9*b**2 + 2/9*b**r + 0 = 0.
-2, -1, 0, 1
Factor 3*n**2 + 88*n**4 - 96*n**4 - 4*n + 5*n**2 + 4*n**5.
4*n*(n - 1)**3*(n + 1)
What is y in -3*y**4 + 3*y**2 - 59*y**2 + 1756*y**3 + 5*y**4 - 1762*y**3 = 0?
-4, 0, 7
Let x = -259 + 257. Let r be ((-5 - x)/(-21))/(2/6). Factor -6/7 - 3/7*i + r*i**2.
3*(i - 2)*(i + 1)/7
Suppose 1041 = 220*m + 601. Factor 484/5 + 16/5*v**m + 176/5*v.
4*(2*v + 11)**2/5
Suppose 2*j + 3*q = -2*j + 64, -2*q - 5 = -j. Suppose 5*p + 10 = 5*l, l - j = -4*l + 2*p. Factor -48*m**3 + l*m + 2 - 11*m + 8*m**2 + 5*m + 16*m.
-(3*m - 2)*(4*m + 1)**2
Let k(u) be the third derivative of 1/105*u**7 + 0 - 12*u**2 + 0*u + 0*u**6 + 0*u**4 + 0*u**3 - 1/30*u**5. Let k(d) = 0. Calculate d.
-1, 0, 1
Let s(f) be the first derivative of -f - 2 + 0*f**5 + 2/21*f**3 - 1/14*f**4 + 1/105*f**6 + 0*f**2. Let t(a) be the first derivative of s(a). Factor t(i).
2*i*(i - 1)**2*(i + 2)/7
Let a be 1/(-7) + (-166)/14. Let m be (3/(-2))/(9/a). Factor 1 - 1/3*p**m + 2/3*p.
-(p - 3)*(p + 1)/3
Determine v, given that -6/5*v**2 - 96/5 + 68/5*v - 2/5*v**3 = 0.
-8, 2, 3
Factor 11/8*c**3 - 3/4*c**2 + 1/8*c**5 + 0*c - 3/4*c**4 + 0.
c**2*(c - 3)*(c - 2)*(c - 1)/8
Let g(j) be the third derivative of -j**6/48 - 4*j**5/45 - 19*j**4/144 - j**3/18 + 2*j**2 + 70*j. Suppose g(p) = 0. Calculate p.
-1, -2/15
Let v be (-6)/(-4)*(-48)/(-18). Let s be (-2)/v*-2*9/12. Factor 0 - 3/2*f + s*f**2.
3*f*(f - 2)/4
Let l(i) be the third derivative of 1/12*i**5 + 0*i**3 + 1/40*i**6 + 9 + 1/12*i**4 + 0*i - 1/336*i**8 + 3*i**2 - 1/210*i**7. Factor l(a).
-a*(a - 2)*(a + 1)**3
Find r, given that 68/3*r**2 - 2/3*r**5 - 52/3*r**3 + 6*r**4 + 10/3 - 14*r = 0.
1, 5
Let o(p) be the first derivative of 8/3*p**2 - 32/3*p - 2/9*p**3 - 3. Factor o(s).
-2*(s - 4)**2/3
Suppose -9/2*w**2 + 21/4*w + 3/4*w**3 + 3/8*w**4 - 15/8 = 0. What is w?
-5, 1
Let p(l) be the first derivative of l**5/20 + 5*l**4/4 + 25*l**3/2 - 9*l**2 - 8. Let h(q) be the second derivative of p(q). Factor h(m).
3*(m + 5)**2
Suppose 6*b = b - 3000. Let y be (1 - 2/(-10))/((-270)/b). Factor -2*z - 2/3*z**3 + y*z**2 + 0.
-2*z*(z - 3)*(z - 1)/3
Let l(x) = x. Let t(q) = 2*q + 9. Let j(k) = 3*l(k) - t(k). Let b be j(9). Factor -10*g**3 - 3 + 4*g**3 + 0 + 6*g + 3*g**4 + b*g**4.
3*(g - 1)**3*(g + 1)
Suppose 0 = 6*i + 17 - 5. Let x be (-36)/(-8) + i*2. Solve -1/2*h**2 + x + 0*h = 0 for h.
-1, 1
Factor -7*g**5 - 37*g**5 - 296*g**3 - 19*g - 8 - 224*g**2 - 57*g - 4*g - 184*g**4 + 4*g.
-4*(g + 1)**4*(11*g + 2)
Let f(k) be the first derivative of -2*k**3/3 + 9*k**2 - 16*k + 226. Determine s so that f(s) = 0.
1, 8
Let l(s) = -s**2 + 20*s - 84. Let v be l(6). Let y(b) be the first derivative of -2 - 2/3*b**2 + 1/6*b**4 + 2/9*b**3 + v*b. Solve y(t) = 0.
-2, 0, 1
Let r(z) be the first derivative of z**4/28 + 15*z**3/7 - 3. Solve r(o) = 0 for o.
-45, 0
Suppose -13*f - 45 = -28*f. Factor 1/3 - 2/3*d**2 + 0*d**f + 0*d + 1/3*d**4.
(d - 1)**2*(d + 1)**2/3
Factor -7/6 + 29/6*k - 2/3*k**2.
-(k - 7)*(4*k - 1)/6
Suppose 3*r = -4*a + 17, -3*a - a + 22 = -2*r. Factor -6*q**2 - 6*q**5 - 10*q + 16*q**3 - 10*q + 10*q**a - 2*q**2 - 8 + 16*q**4.
4*(q - 1)*(q + 1)**3*(q + 2)
Let w(c) be the second derivative of 0 + 0*c**2 - 1/4*c**5 + 2*c + 1/6*c**6 - 5/6*c**4 + 0*c**3. Factor w(b).
5*b**2*(b - 2)*(b + 1)
Let x = 27 + -16. Let r = x - 9. Factor -4*j + j + 0*j + r + j**2.
(j - 2)*(j - 1)
Let v(k) = 8*k**3 + 24*k**2 + 34*k + 18. Let o(y) = -y**3 - y**2 + y + 1. Let w(h) = 6*o(h) + v(h). Let w(f) = 0. What is f?
-6, -2, -1
Let n(i) be the third derivative of -i**5/150 + 22*i**4/15 - 1936*i**3/15 + 178*i**2. Factor n(v).
-2*(v - 44)**2/5
Let m = 0 + 3. Factor -8*f**3 - 2*f**m + 52 - 8*f**2 - 52.
-2*f**2*(5*f + 4)
Let u be 4 - (2/2)/(2/4). Find w such that -8*w - 13*w + 3*w**2 + 13 - 6*w**u + 11 = 0.
-8, 1
Let t = 29 - 27. Let v be (-24)/(-78) - (-23360)/1820. Let -4/7 + 24/7*l**t - v*l**3 - 30/7*l**5 + 92/7*l**4 + 10/7*l = 0. What is l?
-1/3, 2/5, 1
Let k = 53/3 - 157/9. Let x(g) be the first derivative of k*g**3 - g**2 - 2 + 4/3*g. Factor x(i).
2*(i - 2)*(i - 1)/3
Factor -17*t**2 + 10 - 48*t**2 + 9*t + 30*t**3 - 20*t**2 + 36*t.
5*(t - 2)*(t - 1)*(6*t + 1)
Let l(q) be the second derivative of -q**6/51 + 11*q**5/85 - 4*q**4/51 + 48*q + 2. Find o, given that l(o) = 0.
0, 2/5, 4
Suppose 4*t - 13 = 4*q - 3*q, -t = -5*q - 27. Let h be 6/14 + 0/(-3). Factor -6/7 - h*s**t + 9/7*s.
-3*(s - 2)*(s - 1)/7
Let n(x) be the third derivative of x**6/480 + x**5/30 - x**4/96 - x**3/3 - x**2 + 22*x. Find o, given that n(o) = 0.
-8, -1, 1
Let y(o) = -o**3 - 38*o**2 - 38*o + 1. Let j be y(-1). Factor 5/2*n**j - 7/4*n**3 - 3/4*n + 0.
-n*(n - 1)*(7*n - 3)/4
Let z be (-3435)/18 - (-1 - -2). Let o = z - -192. Factor 1/6*x**4 + 1/6*x**5 - 1/2*x**3 - o*x**2 + 0 + 1/3*x.
x*(x - 1)**2*(x + 1)*(x + 2)/6
Suppose 2*o - 73 = -67. Suppose 3 = -3*w - 6*y + 3*y, -o*w = -5*y - 37. Solve w*b - 2/3*b**2 - 6 = 0 for b.
3
Suppose 4*s - 87 = 5*f, 0 = 3*s - 2*s - 3*f - 13. What is q in q + s*q**2 - 8*q**2 - 16 - 33*q = 0?
-2/5, 2
Suppose -5*k - 5 = 40. Let i = k - -13. Solve 45*f**3 - 12*f - 15*f**5 - 9*f**2 - 3*f**2 - 6*f**i - 2*f**4 + 2*f**4 = 0 for f.
-2, -2/5, 0, 1
Let l = -17 - -19. Suppose 4 - p - 5*p + 3*p**2 + 2*p - l*p**2 = 0. Calculate p.
2
Let x(l) = -l**3 - 10*l**2 - 9*l + 8. Let q be x(-9). Factor -9*v**3 - 5*v**4 + 11*v**3 - 15*v**5 + q*v**3.
-5*v**3*(v + 1)*(3*v - 2)
Let q(o) = -3*o**2 + 3*o - 34. Let b(x) = -x**2 - x - 2. Let h(i) = 10*b(i) - 2*q(i). Let h(s) = 0. What is s?
-6, 2
Let j be (-1)/4 + 9*(-117)/(-324). Let n(f) be the second derivative of 3/4*f**4 + 0 + 3/2*f**j + 8*f + 3/2*f**2 + 3/20*f**5. Factor n(t).
3*(t + 1)**3
Let j be (-48)/(-60) + -18*9/(-135). Factor 0 - 5/4*x**4 + 5/4*x**j + 5*x**3 - 5*x.
-5*x*(x - 4)*(x - 1)*(x + 1)/4
Let w(a) be the first derivative of -a**6/660 + a**5/330 + a**4/132 - a**3/33 - 5*a**2 - 13. Let h(p) be the second derivative of w(p). Factor h(x).
-2*(x - 1)**2*(x + 1)/11
Factor -18/5*a**2 - 2/5*a + 2/5*a**3 + 18/5.
2*(a - 9)*(a - 1)*(a + 1)/5
Let c(b) = -6. Let h(i) = 1 + 1 + 3 - 4. Let q(g) = -3*c(g) - 16*h(g). Let z(d) = -2*d**2 - 20*d - 70. Let v(l) = -20*q(l) - 2*z(l). Solve v(a) = 0 for a.
-5
Let d(v) be the second derivative of 3*v**3 + 0*v**2 + 10*v + 0 + 5/4*v**4 + 3/20*v**5. Find k such that d(k) = 0.
-3, -2, 0
Let l(x) be the second derivative of -x**4/54 + 8*x**3/9 - 128*x. Factor l(b).
-2*b*(b - 24)/9
Suppose -6*j = -5992 + 5980. Let s be (-1 - 0) + 22/10. Solve -8/5*k + 2/5*k**j + s = 0 for k.
1, 3
Factor -8*r**2 + 2*r + r - 50 + 2*r**2 - 3*r**3 + 56.
-3*(r - 1)*(r + 1)*(r + 2)
Solve -1568/13 - 26*t**2 + 4816/13*t + 6/13*