- 2)*(q + 1)**2*(4*q + 1)
Let y(c) be the third derivative of c**8/2688 - c**7/280 + c**5/15 + 21*c**2 - c. Factor y(f).
f**2*(f - 4)**2*(f + 2)/8
Solve 9/7*d**2 + 0*d + 0 - 12/7*d**3 = 0 for d.
0, 3/4
Let f(c) = 270*c**4 + 240*c**3 - 1935*c**2 + 2545*c - 1120. Let h(j) = 17*j**4 + 15*j**3 - 121*j**2 + 159*j - 70. Let p(q) = -6*f(q) + 95*h(q). Factor p(u).
-5*(u - 2)*(u - 1)**2*(u + 7)
Let q(l) be the third derivative of -2*l**7/525 - l**6/50 + 2*l**5/15 + l**2 - 11*l. Solve q(z) = 0 for z.
-5, 0, 2
Suppose 723*u + 4 = 724*u. Let o(z) be the first derivative of 5/26*z**u + 0*z**2 + 2 + 2/39*z**3 + 14/65*z**5 + 1/13*z**6 + 0*z. Solve o(a) = 0 for a.
-1, -1/3, 0
Let f be ((-2)/(-25))/(322/2760) + 2/(-5). Factor -2/7 + 2/7*r**3 + f*r**2 - 2/7*r.
2*(r - 1)*(r + 1)**2/7
Suppose -16 - 2*j**4 + 4*j + 27*j**2 + 1638*j**3 + 49*j**2 - 1717*j**3 + 17*j**4 = 0. What is j?
-2/5, 2/3, 1, 4
Let w(h) = 2*h**3 - 7*h**2 + 11*h - 2. Let n be w(2). Suppose -n = 9*p - 35. Factor 3/4*u**4 + 0 + 0*u - 3/2*u**2 + 3/4*u**p.
3*u**2*(u - 1)*(u + 2)/4
Let l(x) = -x**3 + 9*x**2 - 7*x - 6. Let q be l(8). Determine u, given that 3*u**3 + q*u**2 - 7*u**3 + 2*u**3 = 0.
0, 1
Let g = -420 - -422. Let d(w) be the first derivative of -3/2*w**4 - g*w**2 + 14/3*w**3 + 0*w - 2. Factor d(q).
-2*q*(q - 2)*(3*q - 1)
Let s(j) be the first derivative of 2*j**5/25 + j**4/10 - 2*j**3/3 + 3*j**2/5 - 2. Factor s(i).
2*i*(i - 1)**2*(i + 3)/5
Let r(n) = n**3 + 8*n**2 + 4*n + 3. Let i(l) = 2*l**3 + 17*l**2 + 8*l + 7. Let z(k) = 6*i(k) - 14*r(k). Factor z(m).
-2*m*(m + 1)*(m + 4)
Let u(w) = w**2 + w. Let d(t) = -15*t**2 - 30*t - 15. Let a(c) = d(c) + 10*u(c). Factor a(y).
-5*(y + 1)*(y + 3)
Suppose -15*c = 188*c - 13*c. Factor -10/3*u**4 + 0 - 2/3*u**5 - 16/3*u**3 + c*u - 8/3*u**2.
-2*u**2*(u + 1)*(u + 2)**2/3
Let u(v) be the first derivative of v**3/12 + 7*v**2/4 + 49*v/4 + 137. What is q in u(q) = 0?
-7
Let 42/5*i**2 - 10*i**3 - 6/5*i + 18/5*i**4 - 4/5 = 0. What is i?
-2/9, 1
Let z be ((-64)/(-36))/(11/24 + (-8)/24). Let -2/9*j**2 - z + 32/9*j = 0. What is j?
8
Let g = -153/67 - -526/201. Suppose 0 + g*p + 1/3*p**2 = 0. What is p?
-1, 0
Let k(q) be the second derivative of -1/50*q**5 + 0*q**3 - 2*q + 0*q**2 + 0 + 1/15*q**4. Factor k(s).
-2*s**2*(s - 2)/5
Let a(z) be the second derivative of 4*z**7/77 - 3*z**6/55 - 39*z**5/110 + z**4/22 + 9*z**3/11 + 6*z**2/11 - 75*z. Determine y so that a(y) = 0.
-1, -1/4, 1, 2
Let d(v) be the second derivative of 0*v**3 + 1/300*v**5 + 3/2*v**2 - 2*v + 0 + 1/120*v**4. Let m(i) be the first derivative of d(i). Factor m(n).
n*(n + 1)/5
Let i(j) be the second derivative of -j**5/140 + j**4/28 + 4*j**3/7 - 40*j**2/7 - 76*j. Determine n so that i(n) = 0.
-5, 4
Let s(o) be the second derivative of -18*o**7/7 + 6*o**6/5 + 3*o**5/5 - o**4/3 + 247*o. Factor s(f).
-4*f**2*(3*f - 1)**2*(3*f + 1)
Factor 9/2 - 1/2*j**3 + 7/2*j**2 - 15/2*j.
-(j - 3)**2*(j - 1)/2
Let x(n) be the third derivative of 0*n + 0 + 1/48*n**4 + 1/18*n**3 + 1/360*n**5 - 20*n**2. Determine s so that x(s) = 0.
-2, -1
Suppose -39/4*y**2 - 3/8*y**3 + 0*y + 0 = 0. Calculate y.
-26, 0
Let p(u) be the first derivative of -u**6/3 - 6*u**5/5 + u**4/2 + 22*u**3/3 + 12*u**2 + 8*u - 227. What is s in p(s) = 0?
-2, -1, 2
Let d(i) be the first derivative of -1/66*i**4 + 0*i**2 + 0*i**3 - 1/110*i**5 - 2 - 4*i. Let c(q) be the first derivative of d(q). Factor c(x).
-2*x**2*(x + 1)/11
Suppose -2*r - 29 = -6*r - 3*z, 2*r - 42 = 4*z. Let t + 16*t + 15*t + 15*t**2 - r*t + 6 = 0. Calculate t.
-1, -2/5
Suppose -16 = -4*f + 2*t, -4 = -0*f - f - 4*t. Factor 2*o**4 + 8 - 14*o**2 - 5*o**3 - 5*o**f - 8*o**3 + 4*o.
-(o + 1)*(o + 2)**2*(3*o - 2)
Let s(k) = 5*k - 11. Let i be s(-8). Let x be i*(-2)/18 - 3. Determine p so that -10/3*p**4 + 2/3*p**3 + 0*p + x*p**5 + 0 + 0*p**2 = 0.
0, 1/4, 1
Let y(b) be the first derivative of 8*b**2 + 4/3*b**3 + 7 + 16*b. Factor y(l).
4*(l + 2)**2
Let i(p) be the third derivative of 0 - 1/8*p**4 + 1/60*p**5 + 1/3*p**3 + 0*p + 6*p**2. Factor i(w).
(w - 2)*(w - 1)
Let b(u) = -18*u**2 + 80*u. Let y(m) = 2*m**2 - 9*m. Let f = -36 + 30. Let p(z) = f*b(z) - 52*y(z). Determine o, given that p(o) = 0.
0, 3
Let z(a) be the third derivative of a**7/350 + 3*a**6/100 + 2*a**5/25 - a**2 + 6*a. Find v, given that z(v) = 0.
-4, -2, 0
Let p be (3/(-2))/((-10)/(-140)). Let u = p + 35. Solve 25*z - 8 + u*z - 31*z - 2*z**2 = 0 for z.
2
Let o(m) = -m**2 + 575*m - 1704. Let h be o(3). Determine x so that -h + 32/3*x**3 - 4/3*x**4 - 88/3*x**2 + 32*x = 0.
1, 3
Let v = 58 + -55. What is i in 1767*i**2 - 22*i**3 + 7*i**v - 20*i - 1727*i**2 = 0?
0, 2/3, 2
Let g(b) = -24*b**2 + 9*b - 33. Let v(d) = -3*d**2 + 1 - 4 + d - 1. Let a(z) = -4*g(z) + 33*v(z). Determine j, given that a(j) = 0.
-1, 0
Let r = -217 - -221. Suppose 12 + 3 = 5*c + 2*s, 0 = 3*s. Factor -h**3 + 0*h**3 + 4*h**4 + 3*h**c - 6*h**r.
-2*h**3*(h - 1)
Factor -2030/11*s - 122/11*s**2 - 5046/11 - 2/11*s**3.
-2*(s + 3)*(s + 29)**2/11
Factor -285/4*k**2 - 1/8*k**3 - 27075/2*k - 857375.
-(k + 190)**3/8
Let h(b) = b**2 + b. Let m be (-3)/((-34)/8 - -5). Let z be -1*(-3 - -2) - 12. Let a(w) = -2*w**2 - 2*w. Let c(v) = m*a(v) + z*h(v). Factor c(y).
-3*y*(y + 1)
Let q = 67 - 199/3. Let n be (-3*8/60)/(10/(-75)). Suppose -8/3 - q*f**4 + 2*f**2 + 4/3*f**n - 8/3*f = 0. Calculate f.
-1, 2
Let w(l) be the second derivative of l**5/5 + 29*l**4/6 + 112*l**3/3 + 49*l**2 - 38*l + 2. Solve w(c) = 0.
-7, -1/2
Suppose 0 = 4*p + 2*t + 2, 9 = -6*p + 3*p - 3*t. Let d be ((-10)/18)/((-2)/6). Find g, given that -1/3*g**3 - d*g - 2/3 - 4/3*g**p = 0.
-2, -1
Suppose -3*n = 5*s - 5, 0 = n - 66*s + 68*s - 2. Factor 6/5*m**3 + n + 3/5*m**5 + 9/5*m**4 + 0*m**2 + 0*m.
3*m**3*(m + 1)*(m + 2)/5
Let a(d) be the third derivative of d**6/540 + d**5/90 - d**4/12 - d**3 + 33*d**2. Factor a(s).
2*(s - 3)*(s + 3)**2/9
Let g(a) = -10*a**2 + 130. Let y(p) = p**2 + 2*p - 2. Let w(q) = -g(q) - 5*y(q). Factor w(k).
5*(k - 6)*(k + 4)
Let h(z) be the second derivative of -z**4/12 + 5*z**3/3 - 21*z**2/2 + 6*z + 1. Find m such that h(m) = 0.
3, 7
Let j(x) = x**3 - 5*x**2 - 5*x + 3. Let b be j(6). Let h be (-36)/4*(-3)/b. Solve -6 + 2*g**2 - 3*g**2 - 6*g - h = 0.
-3
Let v(q) be the second derivative of -q**7/210 + q**5/100 - 200*q. Factor v(s).
-s**3*(s - 1)*(s + 1)/5
Suppose -3*k + 21 = -5*k + 5*b, -2*k = -2*b + 6. Let q(d) be the first derivative of -2 + 2/5*d**3 + 0*d + 3/5*d**5 - 21/20*d**4 + 0*d**k. Factor q(l).
3*l**2*(l - 1)*(5*l - 2)/5
Suppose -3*t - 2*t + 3*w = -3, -1 = -3*t + 2*w. Suppose r + 27 = 4*q, 4*q = t*q + 3*r + 4. Determine k, given that k**2 + 2*k**2 - q + 3*k + 1 = 0.
-2, 1
Let a(d) = 18*d**3 - 3*d**2 + d + 4. Let p be a(2). Let n = -551/4 + p. Let -1/4 + n*t**3 - 1/4*t + 1/4*t**2 = 0. Calculate t.
-1, 1
Suppose -42*o = 12*o - 216. Factor 3*n**3 - 3/5*n**5 - 24/5*n - 12/5 + 3/5*n**o - 3/5*n**2.
-3*(n - 2)**2*(n + 1)**3/5
Suppose -2*c = -3*s - 85, c = -0*c + 4*s + 50. Suppose -3*g = -r - 3, -15 = -3*g - 3*r - 0*r. Find d such that -d**g - c + 38 + 2*d**3 = 0.
0, 1/2
Let d(j) be the third derivative of j**6/30 + 16*j**5/5 - 49*j**4/6 + 13*j**2 + 3*j. Let d(g) = 0. What is g?
-49, 0, 1
Let u(h) be the first derivative of -2*h**3/21 - 2*h**2/7 + 37. Factor u(j).
-2*j*(j + 2)/7
Let b(h) be the second derivative of 1/9*h**4 + 4*h**2 + 0 - 3*h - 8/9*h**3 - 1/180*h**5. Let r(d) be the first derivative of b(d). Let r(u) = 0. Calculate u.
4
Let c = 2563 + -2559. Determine h, given that 2/9*h**5 - 8/9 - 4/9*h**3 - 8/9*h**c + 16/9*h**2 + 2/9*h = 0.
-1, 1, 4
Let l(w) = -w**3 - 8*w**2 - 3*w - 19. Let y be l(-8). Let c(p) be the second derivative of -1/8*p**4 + 6*p + 0 + 0*p**2 + 0*p**3 - 3/40*p**y. Factor c(z).
-3*z**2*(z + 1)/2
Suppose -4*d + 3*x - 7 + 3 = 0, -10 = -3*d - x. Factor -8*h**d - 3*h**4 + 2*h**2 - 3*h**3 + 5*h**2 - h**5.
-h**2*(h + 1)**3
Let l(f) be the second derivative of f**10/40320 - 3*f**8/8960 - f**7/1680 - 29*f**4/12 - 8*f. Let g(j) be the third derivative of l(j). Factor g(x).
3*x**2*(x - 2)*(x + 1)**2/4
Let j(o) be the second derivative of -o**6/180 + o**5/42 - o**4/28 - 29*o**3/6 + 17*o + 2. Let h(d) be the second derivative of j(d). Solve h(b) = 0.
3/7, 1
Let k(r) = 9*r**2 - 14*r + 4. Let m(v) = -17*v**2 + 27*v - 7. Let s(y) = -7*k(y) - 4*m(y). Solve s(n) = 0.
0, 2
Factor 36/7 -