 given that d(x) = 0.
-3, 1
Let v(d) = -d**3 + 8*d**2 + 21*d - 5. Let k be v(10). Find w such that 10*w**3 + w**2 + 7*w**2 - 4*w**2 - w**4 + 9*w**4 + 2*w**k = 0.
-2, -1, 0
Let r(j) be the second derivative of 2/3*j**4 + 0 + 20/21*j**7 - 3*j + 0*j**2 - 1/5*j**5 - 22/15*j**6 + 0*j**3. Let r(v) = 0. Calculate v.
-2/5, 0, 1/2, 1
Let f be (-35)/(-10)*(15/(-70))/(-1). Let c be (-7)/(-3) - 1/3. Factor f*j**c + 0 + 9/4*j.
3*j*(j + 3)/4
Let v(z) be the third derivative of 4/21*z**3 + 4/21*z**4 - 22*z**2 + 1/84*z**6 + 0 - 19/210*z**5 + 0*z. Factor v(n).
2*(n - 2)**2*(5*n + 1)/7
Let g(w) = -w**2 - 2*w + 4. Let o be g(-3). Suppose 6*c - 17 - o = 0. Factor 0*k + 10/13*k**4 + 2/13*k**5 + 0 + 14/13*k**c + 6/13*k**2.
2*k**2*(k + 1)**2*(k + 3)/13
Let k(r) be the second derivative of r**9/45360 - r**8/5040 + r**7/1890 + r**4/6 - 6*r. Let j(w) be the third derivative of k(w). Suppose j(y) = 0. Calculate y.
0, 2
Suppose -5*v + v = 36. Let i be 6/v + 0 + 248/84. Factor -60/7*g**4 - i*g**2 + 0*g + 18/7*g**5 + 8*g**3 + 0.
2*g**2*(g - 2)*(3*g - 2)**2/7
Let s(v) = -7*v**3 - 12*v**2 + 17*v. Let n(i) = 20*i**3 + 34*i**2 - 50*i. Let j(c) = 5*n(c) + 14*s(c). Determine o so that j(o) = 0.
-3, 0, 2
Let s be 8 + ((-8)/20)/((-8)/(-120)). Solve -1/2*u + 2*u**2 + s*u**4 - 3*u**3 + 0 - 1/2*u**5 = 0 for u.
0, 1
Let b be (-10)/(-8) - 0/10. Let t(a) be the second derivative of -1/2*a**4 + 3/40*a**5 + 0 + b*a**3 - 3/2*a**2 + 2*a. Factor t(y).
3*(y - 2)*(y - 1)**2/2
Suppose 4*m - 4*l = -80, 4*m = -m + 4*l - 98. Let y be m/(-4) - 4*(-1 + 2). Suppose 0*t**2 - 3/2*t + y*t**3 + 1 = 0. Calculate t.
-2, 1
Determine a so that -5/6*a**2 - 8410/3 - 290/3*a = 0.
-58
Let t(u) = -2*u**5 + 6*u**4 - u**3 - 4*u**2 + 7. Let s(n) = -3*n**5 + 11*n**4 - 2*n**3 - 9*n**2 + 13. Let c(i) = 6*s(i) - 10*t(i). Suppose c(m) = 0. What is m?
-2, -1, 1
Suppose -f + 8 = n, -4*n + 20 = f - 0*f. Let y = 1 - -4. Factor 10*b**f + 7*b**5 - 5*b**2 - 3*b**2 - 10*b - y*b**5 + 12*b**3 - 6*b.
2*b*(b - 1)*(b + 2)**3
Let d(n) be the first derivative of -1/5*n**5 + 0*n**2 + 0*n**4 + 6 + 9*n + 2/3*n**3. Let u(c) be the first derivative of d(c). Suppose u(q) = 0. What is q?
-1, 0, 1
Let f be 2/(874/1425) + -3. Factor -f - 14/23*u - 10/23*u**2 - 2/23*u**3.
-2*(u + 1)**2*(u + 3)/23
Let j(r) = 71*r + r**2 - 1 - 75*r - 2*r**2. Let s(o) = o**2 + o - 1. Let v(y) = -3*j(y) - 6*s(y). Factor v(u).
-3*(u - 3)*(u + 1)
Let w(q) be the second derivative of q**6/60 - 53*q**5/40 + 91*q**4/3 - 169*q**3/3 - 8*q - 2. Let w(i) = 0. Calculate i.
0, 1, 26
Let r(p) be the third derivative of -p**5/150 + 2*p**4/15 + 13*p**3/3 + 89*p**2 - p. Solve r(h) = 0 for h.
-5, 13
Let s(v) be the second derivative of v**5/55 - 7*v**4/66 - 14*v**3/33 - 5*v**2/11 + v - 71. Suppose s(w) = 0. What is w?
-1, -1/2, 5
Let r be 4/21 + 8/(-6) + (-770)/(-245). Solve 2/17*j**r - 2/17*j**3 + 16/17 + 20/17*j = 0.
-2, -1, 4
Suppose 198*n**3 + 28*n + 187*n**3 + 24 - 389*n**3 = 0. Calculate n.
-2, -1, 3
Let k(s) = s - 1. Let r be k(3). Let z(q) = -q + 4. Let l be z(r). Factor 4 - 2*x**l - 5*x + 3*x + 0*x.
-2*(x - 1)*(x + 2)
Suppose -4*r + 2*c - 2 = 0, r + 2*c = -3*r + 18. Suppose -r = -3*a + 16. Factor 2*l**3 + a*l**4 - 7*l**4 - l**5 - 2*l + 2*l**2 + l - 1.
-(l - 1)**2*(l + 1)**3
Let h = -46291/11 - -4209. Suppose -4/11*r**2 + 14/11*r + h = 0. What is r?
-1/2, 4
Let v(y) = -y**4 - 2*y**3 - y**2 - 2*y - 1. Let f(n) = 2*n**4 + 2*n**3 - 3*n**2 + 2*n + 1. Let k(h) = f(h) + v(h). Let k(w) = 0. What is w?
-2, 0, 2
Suppose -4 - f**3 - 9*f**2 - f + 0*f**2 + 2*f**3 + 13 = 0. What is f?
-1, 1, 9
Let f(u) be the second derivative of 14*u + 0 + 7/27*u**3 - 2/9*u**2 + 2/27*u**4. Find h such that f(h) = 0.
-2, 1/4
Let t be -8*7/49*3/(-4). Determine f so that 2/7 + 4/7*f**2 - 2/7*f**5 - 6/7*f**4 + t*f - 4/7*f**3 = 0.
-1, 1
Let s(p) = -p - 10. Let m be s(-13). Let v be m/(-12) - 45/(-20). Factor 5*a - v*a**2 + 2 - 2*a**4 - 11*a + 2 + 6*a**3.
-2*(a - 2)*(a - 1)**2*(a + 1)
Let v be (-20)/(-18) + 15*(-14)/945. Solve 4/9 + v*p**2 + 2/9*p**3 + 10/9*p = 0.
-2, -1
Suppose 2*i + 0*c + 4*c = -14, -5*i - 5*c - 10 = 0. What is w in -9 + 42*w - 101*w - i*w**2 + 47*w = 0?
-3, -1
Let c(n) = -2*n**2 + 4. Let f be c(2). Let w(l) = -5*l**2 - l + 6. Let u(k) = -2*k**2 + 2. Let t(j) = f*w(j) + 11*u(j). Determine d so that t(d) = 0.
1
Factor -2*z**4 + 216 + 12*z**2 + 107*z - 2*z**3 + 73*z - 2*z**4 - 18*z**3.
-4*(z - 3)*(z + 2)*(z + 3)**2
Let b(u) be the second derivative of u**7/147 + 34*u**6/105 + 9*u**5/5 + 92*u**4/21 + 121*u**3/21 + 30*u**2/7 - 2*u - 92. Factor b(d).
2*(d + 1)**4*(d + 30)/7
Let c be (-196 - -197) + (-5)/9. Factor 0 + c*n - 2/9*n**4 - 4/9*n**3 + 2/9*n**2.
-2*n*(n - 1)*(n + 1)*(n + 2)/9
Let g(v) be the third derivative of 1/18*v**4 + 1/60*v**6 + 1/20*v**5 - 15*v**2 + 1/630*v**7 + 0 + 0*v**3 + 0*v. Factor g(o).
o*(o + 1)**2*(o + 4)/3
Let x(v) be the first derivative of -15*v**2 - 27 + 14/3*v**3 - 1/2*v**4 + 18*v. Find z, given that x(z) = 0.
1, 3
Let a(z) be the third derivative of z**7/630 + z**6/90 - 990*z**2. Factor a(r).
r**3*(r + 4)/3
Let w = 4/221 - -406/1989. Let -w*y**3 + 16/9*y**2 - 14/9*y + 0 = 0. What is y?
0, 1, 7
Let g(u) be the third derivative of 0*u + 0*u**3 + 0*u**6 - 1/84*u**7 + 5/1344*u**8 + 0*u**4 + 18*u**2 + 0 + 0*u**5. Let g(w) = 0. Calculate w.
0, 2
Let m be (4/(-8))/(2/(-44)). Suppose -m*o + 12*o - 3 = 0. Factor -y**5 + y**5 - 13*y**o + 4*y**4 + 15*y**3 + 2*y**5.
2*y**3*(y + 1)**2
Let l = -1010 + 1015. Let j(g) be the first derivative of 0*g**3 - 2 + 0*g**2 + 3/25*g**l + 0*g**4 + 1/10*g**6 + 0*g. Factor j(o).
3*o**4*(o + 1)/5
Suppose 5*o = 4*c + 12, -3*c - 9 = -4*o - 0*o. Suppose 2*w - 4*u - 8 = -5*u, o = 4*u - 16. What is f in 4/9*f + 0 - 14/9*f**w = 0?
0, 2/7
Let 2/3*h**2 + 16/3 - 76/9*h = 0. Calculate h.
2/3, 12
Let k = -60 - -62. Factor 4*y**2 - 13 + 0*y**2 - 7*y**k + 25.
-3*(y - 2)*(y + 2)
Let b(q) = -468*q - 4208. Let h be b(-9). Factor 0 - 4/5*i**h + 2/5*i - 11/5*i**2 + 13/5*i**3.
-i*(i - 2)*(i - 1)*(4*i - 1)/5
Let o(y) = -30*y**2 + 265*y - 175. Let c(t) = 45*t**2 - 397*t + 261. Let q(b) = -5*c(b) - 7*o(b). Factor q(j).
-5*(j - 8)*(3*j - 2)
Let o(f) be the first derivative of -f**6/36 + 2*f**5/15 + f**4/4 - 2*f**3/9 - 5*f**2/12 + 55. Suppose o(g) = 0. What is g?
-1, 0, 1, 5
Let r(v) = -v**5 + v**3 - v**2 + 2. Let g(i) = -10*i**5 - 20*i**4 + 15*i**3 + 55*i**2 - 45*i + 10. Let y(j) = -g(j) + 5*r(j). Factor y(f).
5*f*(f - 1)**2*(f + 3)**2
Solve -192 - 32*o - 4/3*o**2 = 0.
-12
Let g(c) be the second derivative of c**4/84 - 3*c**3/14 + c**2 - 5*c - 2. Find x, given that g(x) = 0.
2, 7
Let t(c) be the first derivative of -5*c**3/3 - c**2/2 + 6. Let k(w) = 4*w**2. Let i(m) = -6*k(m) - 4*t(m). Factor i(y).
-4*y*(y - 1)
Factor 0*t**2 - 1/3*t**3 + 2 + 7/3*t.
-(t - 3)*(t + 1)*(t + 2)/3
Let y(p) = -p**2 + 19. Let i be y(-4). Find a such that -9/4*a**2 - 3/4*a**i + 9/4 + 3/4*a = 0.
-3, -1, 1
Factor -39/4 - 21/2*l - 3/4*l**2.
-3*(l + 1)*(l + 13)/4
Let i(b) be the first derivative of 13 + 2/5*b**2 - 1/10*b**4 + 0*b + 2/15*b**3. Factor i(n).
-2*n*(n - 2)*(n + 1)/5
Factor -105*l - 5*l**2 - 2*l**2 + 113*l + 5*l**2 + 10.
-2*(l - 5)*(l + 1)
Let s be -2 + 1 - -2 - 1. Let v(l) be the second derivative of -l + 0*l**2 + 1/90*l**4 - 2/45*l**3 + s. Let v(f) = 0. What is f?
0, 2
Suppose 16*w + 6 = 18*w. Let o(q) be the third derivative of 0*q - 3/32*q**4 - 1/120*q**6 + 0 - 5*q**2 + 0*q**w - 1/20*q**5. Determine t so that o(t) = 0.
-3/2, 0
Let v(j) be the third derivative of 20*j**2 + 0 + 0*j**3 + 1/10*j**5 + 1/20*j**6 + 0*j + 1/105*j**7 + 1/12*j**4. Solve v(o) = 0 for o.
-1, 0
Factor -2/9*l**2 + 8/9*l + 8/3.
-2*(l - 6)*(l + 2)/9
Let z(f) be the third derivative of f**7/1470 - 11*f**6/420 + 13*f**5/35 - 9*f**4/4 + 81*f**3/14 + 716*f**2. Determine a, given that z(a) = 0.
1, 3, 9
Let t(i) = 15*i**2 - 117*i + 90. Let y(w) = 28*w**2 - 230*w + 180. Let x(q) = -11*t(q) + 6*y(q). Factor x(g).
3*(g - 30)*(g - 1)
Let g(i) be the third derivative of i**5/12 + 5*i**4/6 - 80*i**3/3 + 152*i**2. Factor g(c).
5*(c - 4)*(c + 8)
Let i = -552 + 848. Let w = 896/3 - i. Factor 8/3*v - 2/3*v**2 - w.
-2*(v - 2)**2/3
Let z be 99/6 - (-640)/(-40). Find v, given that 0 - 3/2*v**4 + 1/2*v**3 + z*v**5 + 3/2*v**2 - v = 0.
-1, 0, 1, 2
Let i be 2/(-1)*11/(-55). Factor -3/5*n + 1/5*n**3 + 0 + i*n**2.
n*(n - 1)*(n + 3)/5