of -1/30*r**6 + 0*r + 6/25*r**5 + 1/525*r**7 - 9/10*r**4 + 9/5*r**3 + 19*r**2 + 0. Find i, given that x(i) = 0.
1, 3
Let l = -2593 + 12966/5. Let w(b) = b**2 - 7*b + 2. Let o be w(7). Find p, given that 0 + l*p**o - 1/5*p = 0.
0, 1
Suppose -3*n + 100 + 14 = 0. Let x be n/12 + 4/3. Suppose -x*q + 3/2*q**2 + 3 = 0. Calculate q.
1, 2
Let x be (-80)/32*(-2)/1. Let l(h) be the first derivative of 0*h + 3*h**2 + 3*h**4 - x + 5*h**3 + 3/5*h**5. Determine y so that l(y) = 0.
-2, -1, 0
Factor -125 + 4*d**3 - 24*d - 90*d - 1211*d**2 + 1088*d**2 - 3*d**3 - 135*d.
(d - 125)*(d + 1)**2
Let u(i) be the first derivative of 5*i**3/3 + 15*i**2 + 40*i - 381. Solve u(x) = 0.
-4, -2
Let h(t) be the second derivative of -t**4/48 + t**3/12 + 3*t**2/8 - 74*t. Factor h(v).
-(v - 3)*(v + 1)/4
Let q(w) be the first derivative of -9*w**5/5 - 207*w**4/4 - 67*w**3 - 199*w**2/6 - 22*w/3 + 335. Suppose q(n) = 0. Calculate n.
-22, -1/3
Let s(a) = a**5 - a + 1. Let k(r) = -4*r**5 - r**4 + 10*r**3 - 8*r**2 + 3*r - 3. Let h(m) = k(m) + 3*s(m). Find w such that h(w) = 0.
-4, 0, 1, 2
Let z be (6 - (-44)/(-8) - 0)/((-6)/(-24)). Factor -4/9*u**z - 8/9*u + 4/3.
-4*(u - 1)*(u + 3)/9
Let y(k) be the first derivative of -4/3*k - 1/18*k**4 - 16/27*k**3 - 37 - 13/9*k**2. Let y(o) = 0. Calculate o.
-6, -1
Let x(g) be the third derivative of -g**5/360 - 7*g**4/144 - 78*g**2. Determine h, given that x(h) = 0.
-7, 0
Let k(v) be the third derivative of -v**8/84 - 2*v**7/105 + v**6/3 + 4*v**5/15 - 4*v**4 - 441*v**2. Determine r, given that k(r) = 0.
-3, -2, 0, 2
Suppose -5*c - 18 = 4*i, 14*c - 19*c + 3*i + 31 = 0. Factor -4/3 + 4/3*n**c - 2*n.
2*(n - 2)*(2*n + 1)/3
Suppose -76*s = -85*s + 18. Factor -1/4*i - 1/8*i**s - 1/8.
-(i + 1)**2/8
Let x(m) = m**2 + 2*m + 4. Let p(k) = 2*k**2 + k + 5. Let h(q) = -4*p(q) + 5*x(q). Factor h(o).
-3*o*(o - 2)
Factor 3/4*c**3 - 12*c**2 + 39*c - 36.
3*(c - 12)*(c - 2)**2/4
Let a be 2/(-3) - 9/(-81)*51. Let i(q) be the first derivative of -1/22*q**4 + 4/11*q - 5/11*q**2 + 8/33*q**3 + a. Solve i(b) = 0.
1, 2
Let 136/13*m**4 - 9652/13*m**2 - 2026/13*m**3 - 2/13*m**5 - 5184/13 - 12672/13*m = 0. Calculate m.
-2, -1, 36
Let b(m) = m**2 - 1. Let g(r) = -17*r + 1 + 3 - 13 + 8 - 16*r**2. Let p(j) = -4*b(j) - 4*g(j). Factor p(a).
4*(a + 1)*(15*a + 2)
Let o be 0/((-8)/18 - 2068/(-846)). Find t, given that -6/5*t - 4/5 + o*t**2 + 2/5*t**3 = 0.
-1, 2
Let s be (-25 - -5 - -15) + 13/2. Solve -s*x**2 + 6*x - 6 = 0.
2
Factor -110*b + 180 + 39*b - 5*b**2 + 37*b - 11*b.
-5*(b - 3)*(b + 12)
Let v = 4/371 + 4799/2226. Let i(d) be the first derivative of -3/2*d**4 - d - 22/9*d**3 - 1/18*d**6 - 7/15*d**5 + 2 - v*d**2. Factor i(x).
-(x + 1)**4*(x + 3)/3
Let t = 2984 + -2980. Let o be 0 + 40/18 - 2. Find c, given that -14/9*c**3 - o*c**5 - 10/9*c**t + 16/9*c + 8/9 + 2/9*c**2 = 0.
-2, -1, 1
Suppose 2*a = -2*t - a - 4, 4*t + 8 = -5*a. Let o be 4 + -1 + (t - -2). Solve 2*d**2 + 2*d**o - 10*d**2 - 4*d**2 + 2*d**3 + 8*d = 0 for d.
0, 1, 2
Suppose 0*r = -3*r + 5*p + 1, r = -4*p + 6. Let j(z) be the first derivative of 244*z**r - 2 + 4*z**3 - 3*z**3 - 247*z**2. Factor j(g).
3*g*(g - 2)
Let t(u) be the first derivative of u**4/14 - 26*u**3/21 + 23*u**2/7 - 22*u/7 - 60. Factor t(y).
2*(y - 11)*(y - 1)**2/7
Let s(y) = 6*y**2 + 89*y + 391. Let p(h) = 2*h**2 + 30*h + 130. Let x = -59 - -66. Let q(i) = x*p(i) - 2*s(i). Find w, given that q(w) = 0.
-8
Factor -30 + 63/2*i - 3/2*i**2.
-3*(i - 20)*(i - 1)/2
Let y(f) be the third derivative of -f**5/300 + 13*f**4/120 - 2*f**3/5 - 210*f**2. Factor y(g).
-(g - 12)*(g - 1)/5
Let r be 2/4*3 + (-66)/((-10296)/(-130)). Solve r*l - 2/3*l**2 + 4/3 = 0.
-1, 2
Let k = 221 - 221. Let w(o) be the third derivative of k + 0*o**4 + 1/105*o**7 - 1/30*o**5 + 0*o**6 + 0*o + 0*o**3 + 3*o**2. What is b in w(b) = 0?
-1, 0, 1
Let s(n) be the third derivative of n**5/270 + n**4/54 - 35*n**3/27 - n**2 + 211. Factor s(q).
2*(q - 5)*(q + 7)/9
Let l(i) be the first derivative of 5*i**3/12 + 55*i**2 + 435*i/4 - 83. Factor l(z).
5*(z + 1)*(z + 87)/4
Let k be 1 + 0 + -2 + 0. Let x be (-3)/(k/2 + -1). Factor 2*n**x + 5*n**4 - 4*n - 8*n**2 - 3*n**4.
2*n*(n - 2)*(n + 1)**2
Let y(h) = -16*h**4 - 16*h**3 + 10*h**2 + 70*h + 42. Let b(f) = 14*f**4 + 16*f**3 - 9*f**2 - 69*f - 43. Let d(s) = 6*b(s) + 5*y(s). Let d(m) = 0. What is m?
-3, -2, -1, 2
Let w be (5/(-10) + 1)*(3 + 3). Factor 10*a**2 - 5 + 5*a**5 - 2 + 15*a - 14*a**3 - 6*a**3 - w.
5*(a - 1)**3*(a + 1)*(a + 2)
Let n(w) be the second derivative of -w**6/30 + w**5/5 - w**4/3 + 11*w - 4. Find p, given that n(p) = 0.
0, 2
Suppose -3*w + w + 4*k = 0, 5*w - 5*k = 5. Let c(y) be the first derivative of w*y - 4 - 1/4*y**4 - 2/3*y**3 + 1/2*y**2. Find a such that c(a) = 0.
-2, -1, 1
Suppose m + 5*h + 14 = -2*m, 2*m - h - 8 = 0. Suppose 0 = -5*o - 15, -s = -0*s - 5*o - 17. Factor 0*u**s - u**m + 3*u**2 + 1 - 3.
2*(u - 1)*(u + 1)
Let r(q) be the first derivative of 8*q + 2*q**2 - 4 + 1/6*q**3. Factor r(u).
(u + 4)**2/2
Let r(g) = -2*g**4 - 30*g**3 + 72*g**2 - 34*g + 10. Let k(f) = 4*f**4 + 59*f**3 - 145*f**2 + 67*f - 25. Let u(p) = -2*k(p) - 5*r(p). Factor u(i).
2*i*(i - 1)**2*(i + 18)
Let b = 222 - 218. Let g(t) be the first derivative of 4/7*t + 1/14*t**b - 3/7*t**2 - 2 + 0*t**3. Determine m, given that g(m) = 0.
-2, 1
Let p(y) be the third derivative of 0*y**3 + 0 + 0*y - 2/3*y**4 + 1/10*y**6 + 9*y**2 - 4/15*y**5. Let p(g) = 0. What is g?
-2/3, 0, 2
Let c(f) be the first derivative of -f**6/51 + 8*f**5/85 - 2*f**4/17 - 95. Find a, given that c(a) = 0.
0, 2
Find d such that 2*d**2 + 3042 - 83*d + 28*d - 101*d = 0.
39
Let x be ((-1)/(30/4))/((-2)/(8*5)). Suppose a**5 + 4/3*a**4 - 2/3 - x*a**3 - 11/3*a - 6*a**2 = 0. Calculate a.
-1, -1/3, 2
Let r(b) be the first derivative of -2*b**3/3 + 37*b**2 + 76*b + 110. Suppose r(y) = 0. What is y?
-1, 38
Let t(q) be the third derivative of -q**8/1512 + 2*q**7/945 + 7*q**6/540 + 2*q**5/135 + 2*q**2 + 354. Solve t(f) = 0 for f.
-1, 0, 4
Let o be 6 + 1 - 0 - (-1407)/(-603). Suppose -o*a**4 + 32/3*a**3 - 32/3*a - 16/3*a**2 + 2/3*a**5 + 32/3 = 0. Calculate a.
-1, 2
Let h(n) be the second derivative of 0*n**2 + 1/10*n**5 - 1/4*n**4 - 1/3*n**3 + 0 + 5*n. Factor h(g).
g*(g - 2)*(2*g + 1)
Let q(x) be the first derivative of 4*x**3/9 - 28*x**2/3 - 20*x + 124. Find f, given that q(f) = 0.
-1, 15
Let w be (1 - 1 - -163)/(266/(-76)). Let z = w - -47. Find v such that 0 - z*v**2 + 3/7*v = 0.
0, 1
Suppose -8/13 + 54/13*k**4 + 120/13*k - 162/13*k**2 - 4/13*k**3 = 0. Calculate k.
-2, 2/27, 1
Let h = 2/5655 + 22606/39585. Solve -h + 4/7*v - 4/7*v**3 + 4/7*v**2 = 0.
-1, 1
Suppose 8*w = 11*w - 12. Suppose g = -w*o + 2, -4*g = 2*o - 2*g - 4. Factor -s**2 + o*s**2 + 4*s**2 - s**2 + 2*s.
2*s*(s + 1)
Let p be 3 - (-74)/111*51/(-14). Factor -p + 6/7*b + 0*b**2 - 2/7*b**3.
-2*(b - 1)**2*(b + 2)/7
Let g(s) = 62*s - 58. Let l be g(1). Factor 4/3*d**3 - 8/3*d**2 + 2/3*d**l - 4/3*d + 2.
2*(d - 1)**2*(d + 1)*(d + 3)/3
Let s(a) be the third derivative of -a**8/3192 - 8*a**7/399 + 41*a**6/1140 + 176*a**2 + 2. Find v such that s(v) = 0.
-41, 0, 1
Suppose 5*v - 3 = 7. Let p(b) be the first derivative of 1/2*b + 1/2*b**v - 5 + 1/6*b**3. Factor p(j).
(j + 1)**2/2
Let s(a) be the third derivative of -a**6/240 - a**5/120 + a**4/24 + 18*a**2. Factor s(z).
-z*(z - 1)*(z + 2)/2
Let z(k) = -5*k**2 - 4*k - 5. Let r(x) = -24 + 11*x**2 - 16*x - 4*x - 12*x**2 - 23*x**2. Let a(b) = -3*r(b) + 14*z(b). Let a(g) = 0. What is g?
-1
Suppose -5*q = -13*k + 8*k - 35, -3*q = 4*k + 7. Factor -95*v + 0*v**4 + 0*v**4 - 8*v**q - 8 + 2*v**4 + 103*v + 6*v**2.
2*(v - 2)**2*(v - 1)*(v + 1)
Let j = 974/3 + -324. Determine c so that 0*c**3 + 0 + j*c**4 + 0*c - 2/3*c**2 = 0.
-1, 0, 1
Let q(v) = 3*v. Let f be q(1). Factor 0*a**2 - 72*a**5 + 69*a**5 - f*a + 0*a**2 + 6*a**3.
-3*a*(a - 1)**2*(a + 1)**2
Let h(q) = 4*q**2 + q. Let r be 10/(-85) + (-87)/(-17). Let w = r - 9. Let b(g) = -4*g**2. Let k(p) = w*h(p) - 5*b(p). Suppose k(o) = 0. What is o?
0, 1
Let k = 39 - 16. Find i such that k*i**2 + 3*i**3 - 29*i**2 + 0*i**3 = 0.
0, 2
Let l(g) = -g**3 + 13*g**2 - 12*g + 2. Let u be l(12). Suppose 85*d**4 + 2 - u - 80*d**4 = 0. Calculate d.
0
Let h(j) = 6*j**2 - 19*j - 43. Let b(u) = 2*u**2 - 4*u - 14. Let y(q) = 7*b(q) - 2*h(q). Factor y(c).
2*(c - 1)*(c + 6)
Let k = 27 + -