uppose x(z) = 0. Calculate z.
-4
Let b(d) be the third derivative of 3*d**8/28 - 8*d**7/35 - 59*d**6/30 + 46*d**5/5 - 50*d**4/3 + 16*d**3 + 12*d**2 - d. Solve b(w) = 0 for w.
-3, 2/3, 1, 2
Let k(d) = 3*d**5 + 9*d**4 - 9*d**3 - 21*d**2 - 9*d + 3. Let o(u) = -3*u**5 - 10*u**4 + 9*u**3 + 20*u**2 + 8*u - 4. Let x(b) = -4*k(b) - 3*o(b). Solve x(n) = 0.
-2, -1, 0, 2
Find c, given that 0 - 68/3*c - 4/3*c**2 = 0.
-17, 0
What is l in 3/5*l**2 + 12*l + 57/5 = 0?
-19, -1
Let j(b) be the first derivative of 1/32*b**4 + 1/8*b**3 + 5 - b - 9/16*b**2. Let z(m) be the first derivative of j(m). Determine w, given that z(w) = 0.
-3, 1
Let h(v) = -26*v**4 + 10*v**3 - 162*v**2 - 146*v + 340. Let o(p) = 8*p**4 - 3*p**3 + 54*p**2 + 49*p - 113. Let j(s) = -5*h(s) - 16*o(s). Solve j(w) = 0 for w.
-3, 1, 6
Let i(c) be the third derivative of -c**6/360 + c**5/120 + 2*c**3/3 - 9*c**2. Let s(w) be the first derivative of i(w). Factor s(t).
-t*(t - 1)
Let s be (2/7)/(2*(-95)/(-266)). What is b in 1/5*b + s*b**2 - 1/5*b**3 - 2/5 = 0?
-1, 1, 2
Let y(q) = -15*q**2 + 45*q - 318. Let o(c) = 2*c**2 + 3*c + 1. Let x(t) = 6*o(t) + y(t). Factor x(g).
-3*(g - 13)*(g - 8)
Factor -57/2*t**2 + 3/2*t**3 + 0 + 27*t.
3*t*(t - 18)*(t - 1)/2
Let f(w) be the second derivative of -w**7/14 - 2*w**6/5 + 3*w**5/10 + 3*w**4 - 9*w**3/2 - 18*w - 1. Factor f(i).
-3*i*(i - 1)**2*(i + 3)**2
Let f(d) be the first derivative of 2*d**6 + 4*d**5/5 - 9*d**4 + 4*d**3 + 4*d**2 - 293. Find l, given that f(l) = 0.
-2, -1/3, 0, 1
Let w = -143/18 - -8. Let r(j) be the third derivative of 0*j + 0 - w*j**4 - 1/3*j**3 - 1/270*j**5 + j**2. Suppose r(n) = 0. Calculate n.
-3
Let j(s) be the first derivative of 11*s**4 + 8*s**3/3 - 22*s**2 - 8*s + 17. What is t in j(t) = 0?
-1, -2/11, 1
Suppose -7*n = -8 - 13. Suppose -20*x + 20*x**2 + 12*x**3 - 20*x**n + 3*x**3 = 0. Calculate x.
0, 2
Let v(x) be the third derivative of x**7/315 - x**6/45 - 8*x**5/15 - 28*x**4/9 - 80*x**3/9 - 111*x**2. Factor v(f).
2*(f - 10)*(f + 2)**3/3
Let p(s) be the third derivative of 3*s**7/70 - 11*s**6/20 + 7*s**5/5 + 19*s**4/4 - 15*s**3/2 - 156*s**2. Suppose p(t) = 0. What is t?
-1, 1/3, 3, 5
Let y(c) = c**4 - 34*c**3 - 18*c**2 + 28*c + 32. Let f(j) = 4*j**4 - 34*j**3 - 18*j**2 + 26*j + 34. Let z(i) = -3*f(i) + 4*y(i). Suppose z(o) = 0. What is o?
-13/4, -1, 1
Solve 2505*v**2 + 475 - 1250*v**2 - 480*v - 1250*v**2 = 0 for v.
1, 95
Factor 3*f**2 + 1 - 18*f**3 - 4*f**2 - 9*f**3 - f + 28*f**3.
(f - 1)**2*(f + 1)
Let p(h) be the third derivative of h**6/160 + h**5/40 - h**4/8 - h**3 - 13*h**2. Factor p(w).
3*(w - 2)*(w + 2)**2/4
Find n such that 4/5 + 1/5*n**3 + 0*n - 1/5*n**5 - 7/5*n**2 + 3/5*n**4 = 0.
-1, 1, 2
Let o(d) = d**3 + 30*d**2 - 260*d - 34. Let t be o(-37). Let -8*a - 1/4*a**4 - 6*a**2 - 4 - 2*a**t = 0. Calculate a.
-2
Let b(f) = 5*f**3 - 2*f + 1. Let x(p) = -9*p**3 - 13*p**2 + 3*p + 11. Let a(t) = -2*b(t) - x(t). Factor a(u).
-(u - 13)*(u - 1)*(u + 1)
Suppose -3*r = 4*r - 441. Let y be (-3)/6 + (-5)/((-510)/r). Factor -18/17*q**2 - 54/17*q - y*q**3 - 54/17.
-2*(q + 3)**3/17
Let u = 79/52 + -7/4. Let w = 31/78 + u. Find s, given that 0*s**2 + 0 - w*s**3 + 0*s - 1/6*s**4 = 0.
-1, 0
Let -115*y - y**3 - 13*y**2 + 361 - 284*y + 76*y - 24*y**2 = 0. Calculate y.
-19, 1
Suppose 2*k - 54 = 5*n + 101, 5*n + 425 = 5*k. Let g be k/36*8/25. Factor 2/5*o**2 - 2/5*o - g.
2*(o - 2)*(o + 1)/5
Suppose -6/5*y**4 + 2 - 4/5*y**2 + 18/5*y - 4*y**3 + 2/5*y**5 = 0. Calculate y.
-1, 1, 5
Let c(d) = d + 16. Let p be c(-14). Suppose -8*v + 19 - 5 + 4*v**p - 10 = 0. Calculate v.
1
Let q = -41992/3 - -13998. Factor -q*a**3 - 1/3*a**5 + 1/3 - a**4 + 2/3*a**2 + a.
-(a - 1)*(a + 1)**4/3
Suppose -4/9*y**2 + 0 - 68/9*y = 0. Calculate y.
-17, 0
Let q be ((-33)/6 + 4)*-8. Let x = q - 6. Factor -x - 2 + 24*f - 6*f**2 + 2*f**3 + f**3 - 13*f**3.
-2*(f - 1)*(f + 2)*(5*f - 2)
Let 0 - 17*x**2 + 289/2*x + 1/2*x**3 = 0. What is x?
0, 17
Let v = -264 + 1338/5. Suppose 2*q + v*q**2 - 14/5*q**4 - 4/5 - 2*q**3 = 0. What is q?
-1, 2/7, 1
Let p(w) be the third derivative of w**4/24 + 13*w**3/6 - w**2. Let l be p(-10). Solve 3*n**4 - n - 3*n**2 + 2*n + 3*n - 3*n**l - n = 0.
-1, 0, 1
Let b(f) = -5*f**2 + 25*f + 6. Let w be b(5). Let y(v) be the second derivative of 1/150*v**w + 0 - 5*v + 0*v**3 + 0*v**2 - 1/100*v**5 + 0*v**4. Factor y(r).
r**3*(r - 1)/5
Let w = -12887/6780 - -1/1356. Let u = 267/130 + w. Factor 4/13 + u*m - 2/13*m**2.
-2*(m - 2)*(m + 1)/13
Determine o so that -16/3*o - 2/9*o**2 - 46/9 = 0.
-23, -1
Let z(q) = -q**3 + 4*q**2 + 3*q + 8. Let y be z(4). Factor 29*g**2 + y - g**3 + 6*g**3 - 44*g**2.
5*(g - 2)**2*(g + 1)
Determine z so that -56/25*z**4 + 0 - 676/25*z**2 - 2/25*z**5 + 0*z - 442/25*z**3 = 0.
-13, -2, 0
Factor -108*h + 168 + 45/2*h**2 - 3/2*h**3.
-3*(h - 7)*(h - 4)**2/2
Suppose 16*s = 14*s + 12, 3*s - 6 = 2*m. Factor m*p + 27/5 + 3/5*p**2.
3*(p + 1)*(p + 9)/5
Let g(s) be the first derivative of -2*s**3/21 - 12*s**2/7 + 8*s + 138. Find j such that g(j) = 0.
-14, 2
Suppose 4*u = -i - 3*i + 60, u = i + 5. Find c such that -5*c**3 - 114*c + 114*c - u*c**2 = 0.
-2, 0
Let o = -73 + 84. Factor -9*i**2 + 3*i + 6 - 17*i + 3*i**3 + o*i + 3*i**4.
3*(i - 1)**2*(i + 1)*(i + 2)
Let s(p) = -p**3 + 16*p**2 - 13*p - 24. Let h be s(15). Let k(t) be the first derivative of h - 2*t**2 + 0*t - 2/3*t**3. Suppose k(w) = 0. What is w?
-2, 0
Let x = -1867/30 + 629/10. Factor -10/3*t - 2 - 2/3*t**2 + x*t**3.
2*(t - 3)*(t + 1)**2/3
Let g be 50*((-8)/2 + 638/165). Let i = g - -8. Solve 1/3*d**3 + d**2 + 0*d - i = 0.
-2, 1
Let p(q) = q**5 - q**4 - 2*q**3 - q**2 - 1. Let m(a) = -25*a**5 + 65*a**4 - 25*a**3 + 75*a**2 + 30. Let t(s) = m(s) + 30*p(s). Suppose t(i) = 0. Calculate i.
-9, 0, 1
Suppose -2*k = 4*c - 108, 2*c + 5*k + 135 = 7*c. Let l be ((-14)/6 + 1)*c/(-48). Factor 3/4*i + 0 + l*i**2.
3*i*(i + 1)/4
Let i(w) be the first derivative of -w**4 + 16/3*w**3 - 16*w - 2 + 2*w**2. What is v in i(v) = 0?
-1, 1, 4
Let u(s) be the first derivative of 13*s**4 + 14*s**2 + 4*s - 14 + 20*s**3 + 16/5*s**5. Factor u(t).
4*(t + 1)**3*(4*t + 1)
Let x(f) be the second derivative of -f**5/20 + 53*f**4/12 - 364*f**3/3 + 338*f**2 + 38*f. Determine q, given that x(q) = 0.
1, 26
Let n(m) be the first derivative of -2*m**3/9 - 289*m**2/6 + 145*m/3 + 43. Solve n(p) = 0 for p.
-145, 1/2
Let u be (0/(12/(-3)))/(-3 + 6). Suppose 0 = -3*s, 2*g + u*g - 4 = -4*s. Factor -147/5*c**3 - 12/5*c + 0 - 84/5*c**g.
-3*c*(7*c + 2)**2/5
Let j(g) = 7*g**4 - 300*g**3 + 4032*g**2 - 18028*g - 5488. Let b(f) = -2*f**3 + f. Let u(d) = -4*b(d) + j(d). Factor u(t).
(t - 14)**3*(7*t + 2)
Find a such that -232*a**3 + 21*a**2 + 236*a**3 + 10 + 3*a**2 + 28*a - 2*a**4 = 0.
-1, 5
Let d(c) = c**3 + 2*c**2 - 1. Let n(g) = 20*g**3 - 110*g**2 - 15. Let q(h) = 15*d(h) - n(h). Factor q(b).
-5*b**2*(b - 28)
Let z = 23 + -21. Solve 0*m**3 + m - 8*m**3 + 9*m**3 + 2*m**z = 0.
-1, 0
Let c(k) be the second derivative of k**6/150 - k**5/100 - k**4/60 + k**3/30 - 21*k - 3. Factor c(g).
g*(g - 1)**2*(g + 1)/5
Let v(a) be the second derivative of -4/3*a**3 + 2/3*a**4 - 1/10*a**5 - 17*a + 0 + 0*a**2. Factor v(m).
-2*m*(m - 2)**2
Let r(j) = 4*j**3 + 162*j**2 + 1902*j + 4332. Let v(l) = l**2 - l. Let f(b) = r(b) + 2*v(b). Find z, given that f(z) = 0.
-19, -3
Suppose 3*p**4 + 11*p**4 - 52*p**5 - 20*p**2 + 20*p - 15*p**3 + 6*p**4 + 47*p**5 = 0. What is p?
-1, 0, 1, 2
Let i(y) = -y**3 + 5*y**2 - 4*y. Let k be i(2). What is g in 3*g**2 + k - g**2 - 3*g**2 = 0?
-2, 2
Suppose 10*h - 15*h = -7*h. Let i(a) be the third derivative of -2*a**2 - 1/220*a**6 + 0*a**4 - 1/165*a**5 + h*a**3 + 0 + 0*a. Factor i(m).
-2*m**2*(3*m + 2)/11
Let f(j) be the second derivative of -j**5/100 + 3*j**4/5 + j**3/30 - 18*j**2/5 - 266*j. Let f(r) = 0. Calculate r.
-1, 1, 36
Let h(c) be the second derivative of -c**7/42 + 7*c**6/30 - 4*c**5/5 + 2*c**4/3 + 8*c**3/3 - 8*c**2 + c + 183. Factor h(r).
-(r - 2)**4*(r + 1)
Let r(b) be the third derivative of -b**7/210 + b**6/12 - 7*b**5/12 + 25*b**4/12 - 4*b**3 - 24*b**2 - 3*b. Let r(h) = 0. What is h?
1, 2, 3, 4
Let k(f) be the second derivative of f**6/15 - 2*f**5/5 + f**4/3 + 4*f**3/3 - 3*f**2 - 5*f. Factor k(d).
2*(d - 3)*(d - 1)**2*(d + 1)
Let l(f) be the first derivative of 2*f**3/27 - 17*f**2/9 - 4*f - 287. Factor l(k).
2*(k - 18)*(k +