 - 1)/9
Let f = 142 - 708/5. Solve 1/5*n - f + 3/5*n**2 = 0 for n.
-1, 2/3
Let y = -31 + 43. Let a be (2/y)/(29/116). Factor -a*k + 2/9*k**2 + 0.
2*k*(k - 3)/9
Let x(b) be the second derivative of -4/35*b**5 + 8/7*b**4 + 2*b + 1/210*b**6 + 0 - 128/21*b**3 + 128/7*b**2. Suppose x(j) = 0. Calculate j.
4
Determine q so that -2*q - 1/9*q**4 - 80/9*q**2 + 2*q**3 + 9 = 0.
-1, 1, 9
Factor -13 - 6*x + 9*x - x**2 - 2*x + 5*x + 4.
-(x - 3)**2
Let g(f) be the second derivative of -f**4/6 - 98*f**3/9 + 11*f**2 - 46*f. Find b such that g(b) = 0.
-33, 1/3
Let s(d) = d**3 - 18*d**2 + 34*d - 30. Let l be s(16). Determine y, given that 2/11*y**l + 32/11 + 16/11*y = 0.
-4
Let a be ((-60)/9 + 7)*2/5. Determine p, given that 2/5*p**2 - 4/15*p + 0 - a*p**3 = 0.
0, 1, 2
Let m(a) be the first derivative of 7/20*a**4 + 3/25*a**5 - 2/5*a**3 + 4 + 0*a**2 + 0*a. Let m(c) = 0. Calculate c.
-3, 0, 2/3
Let g be (6/189*36)/(30/14). Let f(u) be the third derivative of 1/15*u**4 + g*u**3 - 4*u**2 - 1/25*u**5 - 1/300*u**6 + 1/525*u**7 + 0 + 0*u. Factor f(x).
2*(x - 2)**2*(x + 1)*(x + 2)/5
Determine l, given that -21*l + l - 622*l**2 + 621*l**2 = 0.
-20, 0
Let m be 7*(-2)/(-7) + 1 + 0. Let g(x) be the first derivative of 0*x - 2/21*x**m - 3 + 0*x**2. Suppose g(y) = 0. What is y?
0
Let n(o) be the first derivative of -5*o**3/3 - 65*o**2/2 + 340*o - 876. Factor n(g).
-5*(g - 4)*(g + 17)
Solve 25*w**3 - 41*w - 215*w + 711 + 305*w**2 - 659 = 0.
-13, 2/5
Let y(x) be the third derivative of x**8/126 - 2*x**7/63 - x**6/30 + 8*x**5/45 + 2*x**4/9 - 76*x**2. Solve y(u) = 0.
-1, -1/2, 0, 2
Let y(l) = 18*l - 66. Let s be y(6). Let v = s - 40. Factor -48/5 - 3/5*i**v - 24/5*i.
-3*(i + 4)**2/5
Let m(d) be the first derivative of -d**8/336 + d**7/168 + d**6/36 - 2*d**3 - d**2 - 42. Let w(b) be the third derivative of m(b). Suppose w(r) = 0. What is r?
-1, 0, 2
Let a be 3/9 - (-2 + (-7)/(-3)). Let d(g) be the third derivative of 1/8*g**4 + g**3 + a + 0*g - 1/20*g**5 - 2*g**2. Factor d(w).
-3*(w - 2)*(w + 1)
Let l(b) be the third derivative of -b**6/210 - b**5/35 - 3*b**4/56 - b**3/21 - 2*b**2 - 9. Factor l(m).
-(m + 2)*(2*m + 1)**2/7
Suppose 0*x + 4*x = -2*u + 46, 0 = u + x - 24. Suppose u*w - 5*w - 40 = 0. Suppose 3/2*y**3 + 3/8*y + 15/8*y**w + 0 = 0. Calculate y.
-1, -1/4, 0
Suppose 15*f - 132 = -7*f. Let s(m) be the third derivative of -1/8*m**3 + f*m**2 + 0*m - 1/24*m**4 + 0 - 1/240*m**5. Factor s(g).
-(g + 1)*(g + 3)/4
Let m(r) = -r**4 - r**3 - 2*r + 1. Let i(l) = -6*l**4 + 102*l**3 - 564*l**2 - 1460*l - 782. Let s(z) = i(z) - 2*m(z). Let s(b) = 0. Calculate b.
-1, 14
Let z(r) be the third derivative of -13*r**7/4620 + 2*r**6/165 - 3*r**5/220 - r**4/66 + 7*r**3 + 37*r**2. Let u(k) be the first derivative of z(k). Factor u(g).
-2*(g - 1)**2*(13*g + 2)/11
Suppose 0 = -2*j + 2*a + 2, 2*j - 3*a - 3 = -1. Let l be ((4 - j)/(-6))/((-16)/24). Factor -l*c**2 + 0 + 3/4*c**4 + 0*c + 0*c**3.
3*c**2*(c - 1)*(c + 1)/4
Suppose -62*d = -66*d + 8. Let v(m) be the second derivative of -4*m + 0*m**3 - 1/90*m**4 + 0 + 4/15*m**d. Let v(s) = 0. Calculate s.
-2, 2
Let w(u) = u**3 + 27*u**2 + 2*u + 2. Let y(l) = -3*l**3 - 83*l**2 - 7*l - 7. Let o(m) = -7*w(m) - 2*y(m). Find x such that o(x) = 0.
-23, 0
Let o(a) be the third derivative of -a**7/140 - a**6/120 + a**5/10 + a**4/6 - 126*a**2. Find v, given that o(v) = 0.
-2, -2/3, 0, 2
Let s(a) = -2*a + 5. Let i be s(0). Suppose 4*r - 3*j - 9 = 0, 0 = -j - 4*j + i. Factor 2/5*m**r + 0*m + 2/5*m**2 + 0.
2*m**2*(m + 1)/5
Suppose -5*w = -0*w. Suppose a + w = 3. Factor 7*k**3 + 2 - 2*k**2 - 6*k**a + 4*k**2 - k - 4*k**2.
(k - 2)*(k - 1)*(k + 1)
Let b(v) = v - 25. Let r(x) = -2*x + 49. Let c(j) = 5*b(j) + 3*r(j). Let a be c(12). Factor -8*k + 0*k - 6*k - a - k - 5*k**2.
-5*(k + 1)*(k + 2)
Let l(x) be the third derivative of x**6/90 - x**5/9 + 2*x**4/9 + 3*x**2 + 41*x. Factor l(q).
4*q*(q - 4)*(q - 1)/3
Let j(s) = -2*s - 25. Let r be j(-17). Factor -r*i**2 + 0*i + 14*i**4 - 18*i**3 + 0*i + 13*i**2.
2*i**2*(i - 1)*(7*i - 2)
Let k(g) = 5*g**2 - 45*g + 50. Let c(l) = l + 2. Let u(i) = 5*c(i) + k(i). Suppose u(j) = 0. What is j?
2, 6
Let i(r) be the third derivative of -r**8/168 + 3*r**7/35 + r**6/20 - 5*r**5/6 - 3*r**4/2 + 262*r**2. Suppose i(y) = 0. What is y?
-1, 0, 2, 9
Let l(k) be the third derivative of 1/630*k**7 + 0*k**4 + 0*k**3 + 0*k - 1/180*k**6 + 4*k**2 + 0 + 0*k**5. Factor l(b).
b**3*(b - 2)/3
Let c(g) be the third derivative of g**6/8 - 17*g**5/12 + 55*g**4/12 - 20*g**3/3 + 36*g**2. Determine d so that c(d) = 0.
2/3, 1, 4
Let l(s) be the first derivative of s**4/18 + 74*s**3/9 + 1369*s**2/3 + 101306*s/9 - 124. Factor l(j).
2*(j + 37)**3/9
Let f(l) be the second derivative of -l**5/120 + l**4/36 + l**3/9 - 6*l**2 - 3*l. Let v(x) be the first derivative of f(x). What is o in v(o) = 0?
-2/3, 2
Let t = -647 + 652. Let j(z) be the second derivative of -1/30*z**3 + 1/150*z**6 + 0 + 0*z**2 + 1/20*z**4 - 3/100*z**5 - t*z. Factor j(b).
b*(b - 1)**3/5
Let i(p) be the second derivative of p**7/4200 - 7*p**6/3600 - p**5/100 - 5*p**4/6 - 13*p. Let x(h) be the third derivative of i(h). Solve x(r) = 0 for r.
-2/3, 3
Let d = -30 + 26. Let t be (1*1/(-1))/(2/d). Let -10/7*i**4 + 6/7*i + t*i**2 - 6/7*i**3 - 4/7 = 0. Calculate i.
-1, 2/5, 1
Let d(i) = i**3 - 14*i**2 + 14*i - 11. Let w be d(13). Suppose -7 - 8 - 5*r - 10*r + 3*r**w - 3 = 0. Calculate r.
-1, 6
Let g be -1 - 0 - 4438/(-4452). Let q = g + 71/106. Factor 0 - 2*s**2 + 4/3*s + q*s**3.
2*s*(s - 2)*(s - 1)/3
Suppose 19/2*u - 7*u**3 - 5/2*u**5 + 9*u**4 - 6*u**2 - 3 = 0. What is u?
-1, 3/5, 1, 2
Suppose -3*x - 10 = -2*c, 0 = c - 3*x + 28 - 36. Factor 4/7*s - 4/7*s**3 - 4/7 + 4/7*s**c.
-4*(s - 1)**2*(s + 1)/7
Let k(t) = -11*t**2 + 6*t + 5. Let x(u) = -7*u**2 + 4*u + 3. Let p be 7 - 6 - (-8)/2. Let o(v) = p*k(v) - 8*x(v). Let o(n) = 0. What is n?
1
Let z(l) be the third derivative of l**7/70 - 3*l**6/40 - l**5/20 + 3*l**4/8 + 3*l**2 + 10. Factor z(s).
3*s*(s - 3)*(s - 1)*(s + 1)
Find v, given that -1/4*v**2 + 1 - 3/4*v = 0.
-4, 1
Factor 391 + 2*y**2 - 178 - 163 + 20*y.
2*(y + 5)**2
Solve -11/3*l**3 - 1/3*l**4 + 8/3 + 10/3*l + 1/3*l**5 - 7/3*l**2 = 0.
-2, -1, 1, 4
Determine p so that -232*p**3 + 5*p**4 - 159*p**3 + 81*p**2 + 24*p**2 + 441*p**3 = 0.
-7, -3, 0
Let n(i) be the third derivative of 4/3*i**3 - 1/6*i**4 + 0 - 1/5*i**5 + 1/30*i**6 + 34*i**2 + 0*i + 2/105*i**7. Factor n(j).
4*(j - 1)**2*(j + 1)*(j + 2)
Let a(u) be the first derivative of 5*u**3/6 - 5*u**2/2 - 15*u/2 - 45. Let a(k) = 0. What is k?
-1, 3
Let s(k) = 21*k**3 - 86*k**2 + 39*k + 26. Let z(r) = 190*r**3 - 775*r**2 + 350*r + 235. Let t(q) = 35*s(q) - 4*z(q). Find b such that t(b) = 0.
-2/5, 1, 3
Let s(r) be the third derivative of -r**5/150 - 3*r**4/5 - 108*r**3/5 - 4*r**2 + 4*r. Let s(f) = 0. What is f?
-18
Let m(r) be the second derivative of -3*r**5/140 - r**4 - 221*r**3/14 - 507*r**2/7 - 67*r. Factor m(f).
-3*(f + 2)*(f + 13)**2/7
Suppose -3*z + 10 = 4. Suppose g - 2*g + z = 0. Suppose 5*y**2 - 2*y + y**3 - g*y**2 + 4*y + 0*y**2 = 0. Calculate y.
-2, -1, 0
Solve -1/4*z**4 - z**2 + z**3 + 0 + 0*z = 0.
0, 2
Let s(p) = -6*p**3 - 6*p**2 + 4*p + 4. Let t(c) = -7 + 5 + c**3 + 1 + 0 + c. Let m(a) = s(a) + 4*t(a). Factor m(z).
-2*z*(z - 1)*(z + 4)
Let t(f) be the second derivative of 81*f**5/20 - 19*f**4/4 - 4*f**3 - 7*f - 20. Factor t(z).
3*z*(z - 1)*(27*z + 8)
Suppose -3*u - 3*k = 69, 0*k - k = -2. Let y(i) = i**2 + 22*i - 73. Let r be y(u). Solve 0 - r*z**5 + 24/5*z**3 - 8/5*z**2 + 0*z - 6/5*z**4 = 0.
-2, 0, 2/5, 1
Let s(n) be the first derivative of -45/16*n**2 - 6 - 3/32*n**4 + 7/8*n**3 + 27/8*n. Factor s(x).
-3*(x - 3)**2*(x - 1)/8
Find f such that -1352/11 - 2/11*f**2 + 104/11*f = 0.
26
Factor -65*m - 5/2*m**2 - 845/2.
-5*(m + 13)**2/2
Let h(t) be the second derivative of t**6/180 - t**4/6 + 4*t**3/9 - 425*t - 1. Let h(q) = 0. Calculate q.
-4, 0, 2
Let m be (12/(-24))/((-1)/(-6)). Let o be -1*3/6 - m. Factor -s**2 + 1 + 5/2*s**3 - o*s.
(s - 1)*(s + 1)*(5*s - 2)/2
Let s(k) = k**2 - 1. Let v(p) be the first derivative of 5*p + 1/3*p**3 + 3*p**2 - 3. Let z(u) = -2*s(u) - v(u). Factor z(t).
-3*(t + 1)**2
Suppose 4*n - 8 = -2*z - 10, -5*n - 25 = -2*z. Factor 0*j**2 + 8/21*j**3 + 0*j + 10/3*j**z + 0 + 16/7*j**4.
2*j**3*(5*j + 2)*(7*j + 2)/21
Let s(b) = -b**3 