/9*n**d + 0.
-2*n*(n - 1)/9
Let b = 4326 + -4323. Find q, given that 16/3*q + 0 + b*q**3 + 8*q**2 + 1/3*q**4 = 0.
-4, -1, 0
Let g be 8/6*9/(-6)*-1. Suppose -g*n + 1 = 1. Solve 0 - 2/7*q**2 + n*q = 0.
0
Let z(s) = -4*s**3 - 4*s**2 - 2*s - 5. Let d(m) = m**3 - m + 1. Let y be -3 + -12*(-2)/4. Let g(v) = y*d(v) + z(v). Factor g(c).
-(c + 1)**2*(c + 2)
Let l be 2*-1*13/(-26). Let q(r) = r**2 - 1. Let z(o) = -15*o - 5. Let t(j) = l*z(j) - 5*q(j). Suppose t(y) = 0. What is y?
-3, 0
Let s be 800/(-280) - (2/1 - 5). Let f(t) be the first derivative of -1/7*t**3 - s*t - 1/28*t**4 - 5 - 3/14*t**2. Solve f(y) = 0.
-1
Let x(c) = c**2 + c - 6. Let a be (4 - 8) + 0 + 1. Let k be x(a). Suppose 0*w + 0*w**3 - 2/5*w**2 + 2/5*w**4 + k = 0. Calculate w.
-1, 0, 1
Let l be (560/(-128))/(35/(-20)). Factor -5*i**3 - 1/2*i**5 - 1/2 - 5/2*i**4 - l*i - 5*i**2.
-(i + 1)**5/2
Let r = 18/163 - -888/815. Let l(t) be the first derivative of -1/5*t**3 + r*t - 3/10*t**2 + 2. Factor l(j).
-3*(j - 1)*(j + 2)/5
Let b(k) be the third derivative of 0 - 1/12*k**4 + 1/210*k**7 + 1/336*k**8 - 1/12*k**5 - 1/40*k**6 + 23*k**2 + 0*k**3 + 0*k. Let b(z) = 0. What is z?
-1, 0, 2
Let n(h) be the second derivative of h**4/24 - 23*h**3/6 + 529*h**2/4 - 2*h + 39. Factor n(b).
(b - 23)**2/2
Let i(y) = -y**3 - 11*y**2 + 9*y - 34. Let k be i(-12). Suppose -5*d - 1 = k*h + 1, 0 = -2*d - h - 1. Determine j, given that d + 4/15*j - 2/15*j**2 = 0.
0, 2
Let -250/19 - 150/19*s - 2/19*s**3 - 30/19*s**2 = 0. What is s?
-5
Let f(j) = 2*j**3 + 11*j**2 - 24*j - 18. Let u be f(-7). Factor -3 - 3/4*p**2 + 15/4*p**u + 3/4*p**4 - 3/4*p**5 - 6*p.
-3*(p - 2)**2*(p + 1)**3/4
Let y be 5 - 6/(-1 - 1). Factor 6*m - y*m**2 + 15*m**2 - 5*m**2.
2*m*(m + 3)
Suppose -1 = -5*w + 14. Find i, given that -7*i**2 + 256*i + 48 - 392*i**4 + 3*i**2 - 1115*i**3 - 89*i**w = 0.
-3, -2/7, 1/2
Solve -16*y**2 - 60*y + 4/3*y**3 + 0 = 0 for y.
-3, 0, 15
Let m(g) be the first derivative of -g**7/210 + g**5/60 - 12*g**2 - 11. Let c(p) be the second derivative of m(p). Factor c(z).
-z**2*(z - 1)*(z + 1)
Suppose -29 = -3*p - 5*u, 5*p = 2*u + 3*u - 5. Let o = 8 + -5. Factor r**3 + 4*r - r**2 + 9*r**2 + 3*r**o + 0*r**p.
4*r*(r + 1)**2
Let h(i) be the second derivative of 11*i - 1/3*i**4 + 10/3*i**3 - 8*i**2 + 0. Factor h(z).
-4*(z - 4)*(z - 1)
Let l = 9 - 15. Let c be 57/12 - l/(-8). Factor -y**c + 0*y**4 + y**4 + 2*y**5 + 2*y**3 + 4*y**4.
2*y**3*(y + 1)**2
Let w(q) = -q - 12. Let g be w(-14). Factor -g*l**5 + 30*l**2 - 32*l**2 + 0*l**4 + 2*l**4 + 2*l**3.
-2*l**2*(l - 1)**2*(l + 1)
Suppose 0 = -3*d, -6 = l - d - 3. Let s(p) = -p**2 - 2*p + 3. Let u be s(l). Suppose u*z**2 - 4*z**2 - 3 - 3*z + 9 + z**2 = 0. What is z?
-2, 1
Let g = 71 - 71. Let c = 35 + -32. Factor -1/2*z**c + 0*z + g + 1/2*z**2.
-z**2*(z - 1)/2
Let n be (160/(-25))/(2/(-45)). Find w such that -812*w + 192*w**2 + 159*w**3 - 104*w**4 + 767*w - n*w**5 - 54 - 64*w**4 = 0.
-1, -2/3, 3/4
Let f(p) be the first derivative of p**5/240 + p**4/16 + 5*p**3/24 - 11*p**2/2 - 6. Let j(c) be the second derivative of f(c). Find v such that j(v) = 0.
-5, -1
Let c(g) be the first derivative of -g**4/2 - 22*g**3/3 - 19*g**2 - 18*g + 85. Find o such that c(o) = 0.
-9, -1
Let p(g) be the second derivative of 1/70*g**5 - 1/105*g**6 - 5/21*g**3 + 1/14*g**4 + 0 + 2/7*g**2 - 3*g. Let p(v) = 0. What is v?
-2, 1
Suppose 175*u - 349*u + 175*u - u**3 - 4 + 4*u**2 = 0. What is u?
-1, 1, 4
Let z be (-12)/14 - (-10 + 7 + 1). Factor -40/7*m + z + 50/7*m**2.
2*(5*m - 2)**2/7
Let o be 16/88 + 4/(-22). Let s = -144/11 + 731/55. Factor s*n**2 - 1/5 + o*n.
(n - 1)*(n + 1)/5
Let 11/4 - 1/8*j**3 - 5/4*j**2 + 13/8*j = 0. Calculate j.
-11, -1, 2
Let u(g) be the third derivative of g**5/30 - g**4/2 - 14*g**2. Let r(f) = f**2 - 4*f. Let a(n) = 10*r(n) - 3*u(n). Factor a(h).
4*h*(h - 1)
Suppose 9*j - 3 + 9/2*j**3 - 39/4*j**2 - 3/4*j**4 = 0. Calculate j.
1, 2
Let u(p) be the third derivative of -p**7/210 - p**6/15 - 2*p**5/5 - 4*p**4/3 + 5*p**3/3 - 4*p**2. Let h(g) be the first derivative of u(g). Factor h(n).
-4*(n + 2)**3
Let o(b) = -2*b + 26. Let q be o(12). Factor 7 - 11*a - 8 + q*a**2 - 5*a + 33.
2*(a - 4)**2
Factor -81 - 69*d**3 - 53*d**3 + 27*d**4 + 81*d - 59*d**5 + 56*d**5 + 54*d**2 + 44*d**3.
-3*(d - 3)**3*(d - 1)*(d + 1)
Let i(q) = -348*q - 4. Let h be i(-1). Let u = 3790/11 - h. Suppose u*w + 2/11*w**3 - 2/11 - 6/11*w**2 = 0. What is w?
1
Let m(z) be the second derivative of z**4/48 + 7*z**3/8 + 5*z**2/2 - 13*z - 5. Factor m(x).
(x + 1)*(x + 20)/4
Let x(j) = 3*j**2 - 9*j - 12. Suppose -3*p + 6 = -2*p. Let h(g) = 2*g**2 - 9*g - 11. Let m(u) = p*h(u) - 5*x(u). Factor m(s).
-3*(s + 1)*(s + 2)
Let g(d) = 66*d**3 + 5*d**2 - 5*d + 7. Let a be g(2). Let p = a + -5979/11. Factor -p*y**4 + 0 + 0*y - 2/11*y**2 + 8/11*y**5 + 10/11*y**3.
2*y**2*(y - 1)*(2*y - 1)**2/11
Suppose 91 = -9*o + 37. Let m be (-39)/13 + (-1 - o). Solve -28/15*c**3 - 2/15*c**5 + 4/5*c**4 + 32/15*c**m - 6/5*c + 4/15 = 0.
1, 2
Factor 12 - 68/11*r + 1/11*r**2.
(r - 66)*(r - 2)/11
Let 9*q**2 + 15*q - 31*q**2 + 25*q**2 = 0. What is q?
-5, 0
Let h be (2 - 7/1)*-1. Let n(g) be the first derivative of 1/8*g**4 + 4 - 1/5*g**h + 0*g**3 + 0*g**2 + 0*g + 1/12*g**6. Suppose n(c) = 0. Calculate c.
0, 1
Let j(u) be the third derivative of 0*u**4 + 0*u**3 + 0 + 0*u + 1/420*u**5 + 9*u**2. What is b in j(b) = 0?
0
Let o = -41 - 121. Let i = -160 - o. Suppose -1/2*f**3 + 0 - 1/2*f**i + 0*f = 0. What is f?
-1, 0
Let f(g) = 3*g**2 + 8*g - 8. Let d(s) = s**2 + 2*s - 2. Let j(b) = -12*d(b) + 3*f(b). Factor j(r).
-3*r**2
Find v, given that -15*v**2 - 5*v + 7689*v**4 + 10 - 7684*v**4 + 5*v**3 + 0*v**3 = 0.
-2, -1, 1
Let b = 3 + 1. Let k be (-6)/(-21) + ((-104)/(-28) - b). Suppose 1/3*i**5 + 1/3*i - 2/3*i**3 + 0*i**2 + 0 + k*i**4 = 0. Calculate i.
-1, 0, 1
Factor 7/4 - 1/8*p**2 - 13/8*p.
-(p - 1)*(p + 14)/8
Let c(y) be the third derivative of -y**5/80 + 5*y**4/8 - 9*y**3/2 + 3*y**2 - 28. Let c(d) = 0. What is d?
2, 18
Let i = 19136 + -248766/13. Factor 0 + 10/13*v**2 + 8/13*v + i*v**3.
2*v*(v + 1)*(v + 4)/13
Let k(d) be the first derivative of -2/3*d**3 + 1/6*d**6 + 3/2*d**2 - 30 + 0*d**5 + 2*d - d**4. Let k(r) = 0. What is r?
-1, 1, 2
Let g = 670 - 400. Let s be (-5)/(g/(-12)) + 2/(-9). Find v, given that s - 10/3*v**2 - 4/3*v + 14/3*v**3 = 0.
-2/7, 0, 1
Let b(y) be the second derivative of y**4/6 - 5*y**3/6 + y**2 + 128*y. Solve b(t) = 0 for t.
1/2, 2
Let x be (-9 + 20)/(2 + 0 - 1). Suppose -3*f = -4*b + x, -7*b - 3*f = -10*b + 9. What is v in -v**b + 1/2 + 1/2*v = 0?
-1/2, 1
Suppose -577 = -3*n + j + 49, n = j + 210. Let b be 4/(-2) + 13/(n/36). Let 1/8*u**5 + 0 + 1/8*u + 0*u**2 - b*u**3 + 0*u**4 = 0. Calculate u.
-1, 0, 1
Let w = 200 + -197. Let v(b) be the second derivative of 1/4*b**2 + 5/24*b**4 - b + 3/80*b**5 + 0 + 3/8*b**w. Let v(z) = 0. What is z?
-2, -1, -1/3
Let f(l) = 18*l**3 + 126*l**2 - 92*l - 54. Suppose -7*m - 9 = 5. Let b(k) = 35*k**3 + 251*k**2 - 184*k - 107. Let h(t) = m*b(t) + 5*f(t). Factor h(c).
4*(c - 1)*(c + 7)*(5*c + 2)
Let v(g) be the second derivative of -2/105*g**7 + 0*g**3 + 0 - 3/25*g**5 + 1/15*g**4 + 2/25*g**6 + 22*g + 0*g**2. Solve v(k) = 0.
0, 1
Let o(t) = -5*t**4 + 5*t**2 - 4*t. Let p(u) = -21*u**3 - 5*u + 11*u**3 + 10*u**3 - 5*u**4 + 5*u**2. Let n(q) = 5*o(q) - 4*p(q). Factor n(b).
-5*b**2*(b - 1)*(b + 1)
Let m(g) be the first derivative of -32/5*g - 2/15*g**3 + 7 - 8/5*g**2. Let m(i) = 0. Calculate i.
-4
Let x(f) be the first derivative of -27/5*f + 29 - 1/5*f**3 + 9/5*f**2. Factor x(y).
-3*(y - 3)**2/5
Let c(t) be the third derivative of t**4/8 + 7*t**3/3 + 18*t**2. Let h be c(-4). Let 2/3*l**5 + 0 - 4/3*l**4 + 0*l + 0*l**h + 2/3*l**3 = 0. What is l?
0, 1
Let p be (6/4)/(9/12). Determine j so that 724 + 375*j + j**3 + 75*j**p + 4*j**3 - 99 = 0.
-5
Suppose -3*b = -2*d - 10, 10*b - 8*b - 3*d = 10. Factor -1/2*f**b - 3*f - 9/2.
-(f + 3)**2/2
Determine s so that -2/5*s**3 + 3/5 + 1/5*s**5 - 6/5*s**2 + 3/5*s**4 + 1/5*s = 0.
-3, -1, 1
Find o, given that -5*o**4 + 12*o**4 + 7*o**3 + 12 + 20*o - 6*o**4 - 4 + 18*o**2 = 0.
-2, -1
Let f(p) = 2*p**4 - 17*p**3 + 16*p**2 - p. Let l = 97 - 99. Let y(o) = -o**4 + 6*o**3 - 5*o**2. Let u(h) = l*f(h) - 7*y(h). Suppose u(k) = 0. What is k?
-1/3, 0, 1, 2
Let v(q) be the third derivative of q**6/300 + 10