v**2. Let y(d) = -d**2 + 13*d - 19. Let l(h) = -3*q(h) - 5*y(h). Find z, given that l(z) = 0.
2
Let o = -2097/11 + 191. Determine k so that 0 + 2/11*k**5 + 4/11*k**4 - o*k**2 - 2/11*k + 0*k**3 = 0.
-1, 0, 1
Determine k so that 8*k**2 + 106/7*k + 2/7*k**3 + 52/7 = 0.
-26, -1
Suppose 5*w - 3*p = 43, 2*w + 5*p = -w + 19. Suppose -3*j - 10 = -w*j. Factor 0*v**3 + 2*v**3 - 3*v - v + 2*v**j.
2*v*(v - 1)*(v + 2)
Let m(c) = 7*c - 5. Let y(x) = x - 1. Let s(p) = -m(p) + y(p). Let w(q) = q**2 + q - 1. Let t(u) = 2*s(u) + 4*w(u). Let t(n) = 0. Calculate n.
1
Let r(z) = z**2 - z. Let t(x) = 14*x**2. Let c(j) = 10*r(j) - t(j). Let u(d) = d. Let i(l) = -c(l) - 6*u(l). Let i(w) = 0. What is w?
-1, 0
Suppose 132*j - 383*j + 2008 = 0. Factor -j*n + 1/2*n**4 + 6 + 3*n**3 - 3/2*n**2.
(n - 1)**2*(n + 2)*(n + 6)/2
Let q = -3372 + 37096/11. Let 4/11*p**2 + 8/11*p**3 - 6/11*p - q*p**4 + 0 - 2/11*p**5 = 0. What is p?
-3, -1, 0, 1
Let c be ((-6)/3)/(-2)*5. Let y(g) be the second derivative of 0*g**4 + 0 + 0*g**2 + 1/15*g**c + 2*g - 2/9*g**3. Solve y(v) = 0 for v.
-1, 0, 1
Let o = 96 - 89. Suppose 20 = o*r - 3*r + 4*x, -x = -3*r + 7. What is q in -3/2*q**5 - 3*q**4 + 0 - 3/2*q**r + 0*q + 0*q**2 = 0?
-1, 0
Let t(y) = y. Let x be t(12). Suppose 4*h - x = h. Factor -20/7*c**3 + 10/7*c**h + 20/7*c**2 - 10/7*c - 2/7*c**5 + 2/7.
-2*(c - 1)**5/7
Factor -4*a**3 - 43*a - 200 + 10*a - 147*a - 48*a**2.
-4*(a + 2)*(a + 5)**2
Let t(q) = -4*q**3 - 51*q**2 - 65*q + 109. Let k(g) = g**3 + 13*g**2 + 16*g - 27. Let b(m) = -22*k(m) - 6*t(m). Solve b(p) = 0 for p.
-6, -5, 1
Suppose 5*f = -3*j - 248, -2*f = -14*j + 16*j + 96. Let b be f/338 + (-56)/(-195). Let 6/5*l**3 + 0 + 26/15*l**4 - b*l**2 + 2/3*l**5 - 4/15*l = 0. What is l?
-1, 0, 2/5
Let d be 2/31 - (-567)/1302. Find v, given that d*v - 7/4*v**2 + 1/4 + v**3 = 0.
-1/4, 1
Let l(i) = i**3 - 2*i**2 - i - 5. Let f be l(4). Suppose 7 = -4*s + f. Find r such that -20*r**3 + 8*r**5 - 9*r**5 - 11*r**5 - 3*r**s - 25*r**4 - 4*r**2 = 0.
-1, -1/3, 0
Let i(h) be the third derivative of 0*h - 1/360*h**5 + 0 + 1/6*h**3 - 5/144*h**4 + 12*h**2. Factor i(a).
-(a - 1)*(a + 6)/6
Let c be (-1)/3*(-30)/10. Let f(w) = -4*w**5 - 6*w**4 + 8*w**3 + 6*w**2 - 2*w - 2. Let n(l) = l**4 + l**2 - l - 1. Let q(z) = c*f(z) + 2*n(z). Factor q(g).
-4*(g - 1)**2*(g + 1)**3
Let z(n) = -12*n - 48. Let c be z(-4). Let q(p) be the third derivative of 0 + 0*p**6 - 6*p**2 + 0*p**3 + 0*p + 1/210*p**7 - 1/60*p**5 + c*p**4. Factor q(d).
d**2*(d - 1)*(d + 1)
Let b(u) = -u**2 + u. Let v(i) = 1 - 3 + 93*i**2 - i - 98*i**2. Let o(p) = 6*b(p) - 2*v(p). Solve o(g) = 0.
-1
Let u = 66097/36 + -1836. Let f(n) be the third derivative of 0*n - 3*n**2 + u*n**4 + 1/180*n**5 + 1/18*n**3 + 0. Solve f(j) = 0 for j.
-1
Suppose -g + 1 + 15 = 0. Factor 5*r**5 + 4 - 10*r**2 - 20*r**3 + g*r - r + 6.
5*(r - 2)*(r - 1)*(r + 1)**3
Suppose 5*o = 48*o. Suppose 1/3*c**3 - 1/6*c**4 - 1/6*c**2 + o*c + 0 = 0. What is c?
0, 1
Let d = -5 - -8. Let c = 999 - 2993/3. Solve c*z**2 - 4/3*z + 0 - 1/3*z**d = 0 for z.
0, 2
Suppose 0*y + 2*y - 36 = 0. Let k be (-2)/(-3) - (-60)/y. Factor -2*g**4 + g**3 + 0*g + 2*g**3 - 3*g**2 + g**k + g.
-g*(g - 1)**3
Let r(c) be the first derivative of -5*c**4/2 - 22*c**3 - 46*c**2 + 48*c - 702. Find v such that r(v) = 0.
-4, -3, 2/5
Let y(r) = 2*r**4 + 14*r**3 - 6*r**2 - 18*r + 8. Let o(j) = 6*j**4 + 44*j**3 - 18*j**2 - 56*j + 24. Let a(b) = -5*o(b) + 16*y(b). Factor a(w).
2*(w - 1)**2*(w + 2)**2
Suppose -y - 2*u + 4*u - 38 = 0, 71 = -2*y + 5*u. Let f be 6/30 + (y/(-10) - 1). Determine p, given that 1/3*p**2 - 1/3*p**3 + 1/3*p - 1/3*p**f + 0 = 0.
-1, 0, 1
Let m(j) = j**3 + 8*j**2 + 4. Let b be m(-8). Suppose 5*g**4 - 3*g**b + 3*g**3 + g**4 + 0*g**4 = 0. Calculate g.
-1, 0
Let p(w) be the second derivative of w**6/1260 + w**5/105 + w**4/28 - 11*w**3/6 - 19*w. Let y(q) be the second derivative of p(q). Factor y(d).
2*(d + 1)*(d + 3)/7
Let q be (-1)/(1778/(-11726) - (-16)/104). Let z = q + 5009/11. Suppose -106/11*o**3 - 48/11*o**4 - 106/11*o**2 - 8/11 - 8/11*o**5 - z*o = 0. Calculate o.
-2, -1, -1/2
Let v be (24/2)/(-4) - -3. Suppose 4*d - 3 = 3*h - 7, v = -d - 3*h + 14. Factor -3*a**3 + a**2 + 2*a + d*a**3 + 0*a**3.
-a*(a - 2)*(a + 1)
Let y(s) = 2*s**2 - 12*s + 18. Let r(x) = -2*x**2 + 13*x - 21. Let m(h) = -4*r(h) - 5*y(h). Factor m(v).
-2*(v - 3)*(v - 1)
Let c = 190 + -181. Let d(i) = -i + 11. Let z be d(c). Solve 0 + 0*f**z + 2/5*f**5 + 0*f**4 + 0*f + 0*f**3 = 0.
0
Let p be 4/(-40)*2 + 164/220. Factor 6/11*j - 6/11*j**3 - 6/11*j**2 + p.
-6*(j - 1)*(j + 1)**2/11
Let g(c) = -c**3 - 4*c**2 + 8*c + 17. Let w be g(-5). Suppose w*b = -0*b + 4. Let 2/3*p**3 + 2/3*p + 4/3*p**b + 0 = 0. Calculate p.
-1, 0
Suppose -v = -4, 3*b = b + 5*v + 8. Let u be (b/(-49))/((-1)/7). Find x such that -375*x**3 - u*x + 380*x**3 + 2*x = 0.
0
Let s(x) be the first derivative of -x**6/10 - 27*x**5/20 - 15*x**4/2 - 22*x**3 - 36*x**2 + 32*x + 25. Let v(r) be the first derivative of s(r). Factor v(t).
-3*(t + 2)**3*(t + 3)
Let w be 2/6 - 11/(-3). Suppose -c = -2*c + w. Let -6*k**2 - 23*k**3 + 15*k + 8*k**3 + c + 2 = 0. Calculate k.
-1, -2/5, 1
Let a(q) = 2*q**2 + 9*q + 11. Let h(s) = s + 1. Let d(l) = a(l) - h(l). Let f(o) = 4*o**2 + 16*o + 21. Let k(u) = -5*d(u) + 2*f(u). Factor k(j).
-2*(j + 2)**2
Let o(b) be the third derivative of 0*b - 6*b**2 + 1/100*b**5 + 1/40*b**4 + 0 + 1/600*b**6 + 1/30*b**3. Suppose o(q) = 0. What is q?
-1
Suppose -8*x + 316 + 244 = 0. Let b = x - 68. Factor 0 - 2*h**3 - 2/9*h**b - 16/3*h**4 - 32/9*h**5 + 0*h.
-2*h**2*(h + 1)*(4*h + 1)**2/9
Let n(d) = d**3 + d**2 + d. Suppose 12 = 3*o - 7*o. Let y = 4 + o. Let s(g) = 4*g**5 + 16*g**4 + 19*g**3 + 11*g**2 - g. Let r(v) = y*s(v) + 5*n(v). Factor r(c).
4*c*(c + 1)**4
Let l(i) be the second derivative of -1/4*i**4 - 6*i**2 - 2*i**3 - 6*i + 0. Find x, given that l(x) = 0.
-2
Let i = 39/149 + 1593/745. Factor 38/5*j + i + 26/5*j**2.
2*(j + 1)*(13*j + 6)/5
Let y(j) = -3*j + 32. Let b be y(0). Let c = b - 27. Let 10 - 4 + 9*k**c - 12*k**5 + 6*k**3 - 12*k**2 - 3*k + 6*k**4 = 0. Calculate k.
-1, 1, 2
Suppose 24 - 45/2*v**2 - 3/2*v**4 - 12*v + 12*v**3 = 0. What is v?
-1, 1, 4
Find v, given that 9*v**2 - 1/6*v**3 - 35/2*v + 26/3 = 0.
1, 52
Suppose -2*c = 36 - 136. Let j be (-396)/(-14) - 2/7. Factor 78*a - 8 + 6*a**3 - c*a - j*a**2 + 0*a**2 + 2*a**3.
4*(a - 2)*(a - 1)*(2*a - 1)
Suppose -15 = -0*g - g. Let u be (-9)/g*-5 - (-17)/(-11). Factor 6/11*o**3 + 14/11*o - u*o**2 - 4/11.
2*(o - 1)**2*(3*o - 2)/11
Factor -8/5*d + 7/5 + 8/5*d**3 - 6/5*d**2 - 1/5*d**4.
-(d - 7)*(d - 1)**2*(d + 1)/5
Suppose -y + 17 = 5*i, 3*y = 2*i + 2*i - 6. Suppose 13 = 41*w - 67 - 84. Determine p, given that 0 + 0*p**3 + 0*p + 4/3*p**w + 0*p**y = 0.
0
Let d be (15/135)/(((-6)/36)/(2/(-4))). What is t in -d*t**3 + 0 + 1/3*t**2 + 0*t = 0?
0, 1
Solve 5/3*c**2 + 220/3 - 40*c = 0.
2, 22
Let l be (-7)/28 - 22*(-3)/72. Let i(m) be the first derivative of -1/9*m**3 - 7 - l*m**2 - m. Let i(r) = 0. What is r?
-3, -1
Let x(p) be the first derivative of -9 + 3*p**2 - 1/15*p**5 + 3/8*p**4 + 0*p - 1/3*p**3. Let y(f) be the second derivative of x(f). Find o such that y(o) = 0.
1/4, 2
Let j(v) be the second derivative of 0 + 0*v**2 + 0*v**3 + 1/100*v**5 + v - 1/30*v**4. Suppose j(r) = 0. Calculate r.
0, 2
Let m(c) be the first derivative of -c**4 - 20*c**3/3 - 6*c**2 + 36*c - 195. Factor m(u).
-4*(u - 1)*(u + 3)**2
Let w(m) be the first derivative of m**5/330 + m**4/66 + m**3/33 - 17*m**2/2 + 23. Let z(v) be the second derivative of w(v). Suppose z(q) = 0. Calculate q.
-1
Let v = 2247 - 2247. Suppose 0*d**2 - 2/11*d**3 - 2/11*d**5 - 4/11*d**4 + v + 0*d = 0. Calculate d.
-1, 0
Find r, given that -24 - 4/7*r**3 - 96/7*r**2 - 260/7*r = 0.
-21, -2, -1
Let p(f) = -4*f**3 + 2*f + 1. Let c be p(-1). Let o = 19876/5 + -3975. Let -1/5*n + 3/5*n**2 - 1/5*n**4 - 2/5 + o*n**c = 0. What is n?
-1, 1, 2
Suppose z = -3*h - 4*z + 540, -h = -2*z - 169. Let 330*y**2 + 240*y**3 - 2*y**5 - 12*y**5 - 11 + 41 + 40*y**4 - y**5 + h*y = 0. Calculate y.
-1, -1/3, 6
Let w(v) be the first derivative of v**6/18 - 5*v**4/18 + 5*v**2/6 - 10*v - 12. Let b(a) be the first derivative of w(a). Find t, given that b(t) = 0.
-1, 1
Suppose -5*y + 5*o - 2*o = 5, -3*y + 2*o = 4. Factor -2*n**y - 5 - 9*n**2 - 10*n + 6*n**2.
-5