cond derivative of 5*z**4/12 - 35*z**3/6 + 25*z**2 - 2*z + 53. Factor c(a).
5*(a - 5)*(a - 2)
Let z(y) = y**2 - y + 5. Let k be z(0). Let g(s) = s - 1. Let d be g(k). Factor 0*p - 3*p**4 - 2*p - 5*p**2 - p**d + 9*p**2 + 2*p**5.
2*p*(p - 1)**3*(p + 1)
Let q(u) be the second derivative of -u**8/840 + u**7/210 + 16*u**3/3 + 15*u. Let y(r) be the second derivative of q(r). Factor y(i).
-2*i**3*(i - 2)
Let i be (3*5/(-120))/(0 - 1). Determine m so that 0*m + 0 + 1/8*m**3 + i*m**4 - 1/4*m**2 = 0.
-2, 0, 1
Suppose -l + 3*t = 0, -l + 4 = 2*l - 5*t. Let d(w) be the third derivative of 9/4*w**l + 3/8*w**4 + 0*w + 0 - 2*w**2 + 1/40*w**5. Suppose d(n) = 0. Calculate n.
-3
Let a(p) be the third derivative of 0*p + 0 + 2/3*p**3 + 1/60*p**6 - 5*p**2 - 1/4*p**4 + 0*p**5. Suppose a(z) = 0. What is z?
-2, 1
Let k(d) = d**5 + d**3 - d**2. Let u(f) = 10*f**4 + 6*f**3 - 22*f**2 - 2*f + 10. Let o(m) = 2*k(m) - u(m). Suppose o(l) = 0. Calculate l.
-1, 1, 5
Let l = -69759/7 - -9967. Solve l + 8/7*c - 2/7*c**2 = 0.
-1, 5
Let d(k) = k**3 - 8*k**2 - 5*k - 21. Let r be d(9). Suppose 28*l - 5*l**2 - r*l - 3*l - 5 = 0. Calculate l.
1
Let b(l) be the first derivative of -40*l**2 - 5 + 60*l + 35/3*l**3 - 5/4*l**4. Solve b(j) = 0.
2, 3
Let w(u) = u**3 + 6*u**2 - 3*u - 41. Let k(z) = 2*z**3 + 13*z**2 - 6*z - 83. Let b(v) = 6*k(v) - 13*w(v). Let o(y) be the first derivative of b(y). Factor o(q).
-3*(q - 1)*(q + 1)
Let q(o) be the first derivative of -18*o**3 - 29*o**2 - 4*o - 225. Suppose q(a) = 0. Calculate a.
-1, -2/27
Let t = 108 - 105. Let l = 9 + -6. Find k, given that -2*k**l + 4*k**t - 3*k**3 + k = 0.
-1, 0, 1
Solve -2*d + 3*d**4 + 12*d**5 - 51*d**3 - 3*d**5 + 57*d**2 - 16*d = 0.
-3, 0, 2/3, 1
Let x = -28 + 25. Let o be (x/5)/((-1)/5). Factor -2/3*s**2 + 2/3*s**o + 0*s + 0.
2*s**2*(s - 1)/3
Factor -2200/3*j - 5/3*j**3 + 215/3*j**2 - 2420/3.
-5*(j - 22)**2*(j + 1)/3
Let q(v) be the second derivative of v**5/110 - 3*v**4/22 - 10*v**3/33 + 89*v. Factor q(x).
2*x*(x - 10)*(x + 1)/11
Let y(p) be the second derivative of p**6/45 + p**5/20 - p**4/36 - p**3/6 - p**2/6 + 52*p. Determine n so that y(n) = 0.
-1, -1/2, 1
Let w be 5*(-5 - 316/(-60))/2. Factor -w + 3*n**2 + 5/3*n**4 - 1/3*n + 13/3*n**3.
(n + 1)**3*(5*n - 2)/3
Let z(c) be the third derivative of -c**8/1680 - c**7/280 - c**6/120 - c**5/120 + 13*c**3/6 + 6*c**2. Let h(w) be the first derivative of z(w). Factor h(q).
-q*(q + 1)**3
Let v(f) = -1 - 2*f + 1 - 3 + 0. Let t be v(-6). Find c, given that -3*c**2 - c**3 - 2*c**3 + t - 9 = 0.
-1, 0
Let h(i) be the second derivative of -9*i**5/140 - 61*i**4/84 + 43*i**3/21 - 8*i**2/7 - 184*i. Suppose h(l) = 0. What is l?
-8, 2/9, 1
Let r be (-2275)/(-1375) - 18/15. Factor -r*f + 1/11*f**2 + 4/11.
(f - 4)*(f - 1)/11
Let j(d) = d**4 - 15*d**3 + 3*d**2 + 15*d + 2. Let m(q) = -4*q**4 + 44*q**3 - 10*q**2 - 44*q - 7. Let v(p) = -14*j(p) - 4*m(p). Suppose v(l) = 0. What is l?
-17, -1, 0, 1
Find n such that 48*n - 32/3 + 8/3*n**3 - 22*n**2 = 0.
1/4, 4
Let k(n) be the third derivative of -2*n**7/105 - n**6/6 + 8*n**5/15 + 2*n**4 - 247*n**2 + 1. Solve k(z) = 0.
-6, -1, 0, 2
Let x(j) be the first derivative of 0*j**4 + 3/20*j**5 - 1/2*j**3 + 7*j - 2 + 0*j**2. Let f(v) be the first derivative of x(v). Suppose f(b) = 0. Calculate b.
-1, 0, 1
Let n(s) be the third derivative of s**5/90 + 2*s**4/9 - 20*s**3/9 + 375*s**2. Factor n(z).
2*(z - 2)*(z + 10)/3
Let n be (845/(-91) + 2/7)*57/(-1197). Factor -4/7*r**2 + 0 - 8/7*r**3 - n*r**4 + 0*r.
-r**2*(r + 2)*(3*r + 2)/7
Suppose 7*p + 5*c - 22 = 8*p, 0 = -4*p - 4*c + 32. Let o(m) be the second derivative of -8*m**2 + 0 - 5*m - 1/3*m**4 - 8/3*m**p. Factor o(n).
-4*(n + 2)**2
Let x(d) be the first derivative of -d**4/12 - 7*d**3/9 + 3*d**2 + 205. Let x(c) = 0. Calculate c.
-9, 0, 2
Let s(b) be the second derivative of -b**5/120 + b**4/24 + 22*b**2 + 39*b. Let d(p) be the first derivative of s(p). Suppose d(x) = 0. Calculate x.
0, 2
Let 3/7*l**2 - 30/7*l + 0 = 0. What is l?
0, 10
Let s(c) be the third derivative of c**8/168 + c**7/5 - c**6/30 - 7*c**5/5 + c**4/12 + 7*c**3 - 102*c**2. Determine r, given that s(r) = 0.
-21, -1, 1
Let -9/2 - 3*n**3 - 57/4*n + 57/4*n**2 = 0. Calculate n.
-1/4, 2, 3
Let j be 5/1 + -2 + 1 + -4. Let h(v) be the second derivative of -5*v - 1/2*v**4 - 2*v**2 + j + 1/10*v**5 - 5/3*v**3 + 1/15*v**6. Solve h(d) = 0.
-1, 2
Solve 10/9*y**3 + 10/9*y**2 - 8/9 - 2/9*y**5 - 8/9*y - 2/9*y**4 = 0.
-2, -1, 1, 2
Let y(a) = 2*a**2 + 195*a - 396. Let b be y(2). Suppose -2*r**5 + 34/5*r**3 + 6/5*r**4 - 8/5 + 2/5*r**b - 24/5*r = 0. Calculate r.
-1, -2/5, 1, 2
Let r be -4*(-10)/(-32) + 1 + (-42)/(-24). What is i in 0 - 3*i**3 + 0*i - 1/4*i**5 - r*i**4 - 2*i**2 = 0?
-2, 0
Let 4/3*s + 0 - 2/3*s**2 = 0. What is s?
0, 2
Let l be 0/(1*(0 + -1)). Let m(t) be the second derivative of 0*t**4 + 1/10*t**5 + 5*t - 4/9*t**3 + 1/45*t**6 + 0*t**2 + l. Factor m(u).
2*u*(u - 1)*(u + 2)**2/3
Let z(d) = -d**2 - 7*d - 6. Let j be z(-5). Suppose -6*h = -7*h + j. What is f in -12*f**3 - 5*f**4 - 6*f + h*f**4 + 15*f**2 + 4*f**4 = 0?
0, 1, 2
Let n = 1726 - 1726. Let y(z) be the first derivative of 4/55*z**5 + 3 + 0*z**4 + n*z + 1/11*z**2 - 1/33*z**6 - 4/33*z**3. What is h in y(h) = 0?
-1, 0, 1
Let m(f) = -7*f**3 + 7*f**2 + 10*f. Let v(i) be the first derivative of 25*i**4/2 - 50*i**3/3 - 35*i**2 - 10. Let h(q) = 15*m(q) + 2*v(q). Factor h(s).
-5*s*(s - 2)*(s + 1)
Determine w, given that -2358*w - 2*w**4 + 63*w**2 + 120*w**5 - 360*w**3 - 288*w**2 - 3*w**4 + 2368*w = 0.
-1, 0, 1/24, 2
Solve -1/2*u**5 - 1/2*u**3 + 2*u + 5*u**2 - 4 - 2*u**4 = 0 for u.
-2, 1
Let s(z) = -7*z**2 + 480*z - 159. Let r(x) = 3*x**2 - 236*x + 80. Let c(m) = -7*r(m) - 4*s(m). Determine t so that c(t) = 0.
2/7, 38
Let u(y) be the third derivative of y**9/75600 - y**7/6300 + y**5/600 - 11*y**4/24 - 4*y**2. Let o(r) be the second derivative of u(r). Factor o(n).
(n - 1)**2*(n + 1)**2/5
Suppose 0 = 4*z - 3 - 13. Let q(h) = -4*h**2 + 7*h - 7. Let i(a) = -8 + 50*a**2 + 8*a - 42*a**2 - 13*a**2. Let v(r) = z*q(r) - 3*i(r). Let v(y) = 0. What is y?
2
Let k be 15 + 8 + 890/(-40). Let -7/4*s**2 - 1/4 + 5/4*s + k*s**3 = 0. Calculate s.
1/3, 1
Let k be 9/(-21) + 3/(252/64). Factor -11/9*f**3 - 1/3*f**4 - 5/9*f**2 + 0 + k*f.
-f*(f + 1)*(f + 3)*(3*f - 1)/9
Let v be (-140)/(-7)*(-2)/2. Let q be (6/(-4))/(6/v). Determine z, given that 9*z**2 - 13*z**2 + 3*z**2 - q*z**4 - 2*z + 8*z**3 = 0.
-2/5, 0, 1
Let n(c) be the second derivative of -c**5/180 + 47*c**4/108 - 23*c**3/27 + 31*c + 1. Let n(p) = 0. What is p?
0, 1, 46
Factor -3 - 1/4*x**2 - 7/4*x.
-(x + 3)*(x + 4)/4
Let m = -15752/5 + 3151. What is w in 1/5*w**5 - 6/5*w**3 + 21/5*w + 9/5 + 2*w**2 - m*w**4 = 0?
-1, 3
Determine u, given that -45/4*u**4 - 21/8*u**5 - 75/4*u**3 - 15*u**2 - 45/8*u - 3/4 = 0.
-1, -2/7
Let y(j) be the first derivative of 6*j**3/7 + 9*j**2/7 + 4*j/7 - 142. Factor y(h).
2*(3*h + 1)*(3*h + 2)/7
Let g(m) be the third derivative of -11/54*m**4 + 0*m + 0 - 121/27*m**3 - 36*m**2 - 1/270*m**5. Suppose g(u) = 0. Calculate u.
-11
Let d(f) = 1. Suppose -2*p - 4 = -4*i, 4*i + 5*p = -i + 20. Let m(b) = 1 + b**2 + 1 + 0*b**i. Let z(v) = -3*d(v) + m(v). Factor z(k).
(k - 1)*(k + 1)
Suppose -4*o = -o - 6, -4*l - 2*o + 12 = 0. Let u = 4 - 3. Determine n, given that -5 + 2*n**3 + 6 - u - 2*n**l = 0.
0, 1
Suppose -w = -4*w + 15. Factor -10*m**4 + w*m**5 - 2*m + 47*m**2 - 37*m**2 - 3*m.
5*m*(m - 1)**3*(m + 1)
Suppose -70*r**3 + 2*r**4 - 87*r + 660*r - 474*r**2 - 590*r - 721*r = 0. Calculate r.
-3, 0, 41
Let c(y) = -6*y - 39. Let k be c(-11). Suppose -20*m + k = -13. Find j such that 9/2*j**5 + 0*j**m - 3*j + 3/4 - 51/4*j**4 + 21/2*j**3 = 0.
-1/2, 1/3, 1
Let k(r) be the first derivative of r**6/24 - 3*r**2 - 7*r - 3. Let c(b) be the first derivative of k(b). Let d(y) be the first derivative of c(y). Factor d(s).
5*s**3
Let a be (10 + -5)*44/5. Factor g**5 + 3*g**5 - 40*g**4 + a*g**4.
4*g**4*(g + 1)
Factor 0 - 27/4*g + 27/4*g**3 + 3/4*g**4 - 3/4*g**2.
3*g*(g - 1)*(g + 1)*(g + 9)/4
Let g(x) = x**2 - 5*x. Let t be g(6). Suppose m - t = h, 2*h + 2 = -4. Let -4*y**3 - 3*y**3 - 3*y**5 + 0*y**m - 6*y**4 + 4*y**3 = 0. What is y?
-1, 0
Let m be (-8)/(-28) - (-140)/(-833). Factor 0 + 2/17*d**4 + 0*d - 2/17*d**2 + m*d**5 - 2/17*d**3.
2*d**2*(d - 1)*(d + 1)**2/17
Let k