 + 4/3 + q**5.
(q + 1)**3*(q + 2)*(3*q + 2)/3
Let m(x) be the first derivative of -11*x**9/7560 - x**8/2100 - 8*x**3 - 1. Let u(o) be the third derivative of m(o). Let u(b) = 0. Calculate b.
-2/11, 0
Determine f, given that 20/3*f**4 + 149/3*f**3 + 502/3*f**2 + 244*f + 120 + 1/3*f**5 = 0.
-6, -5, -2, -1
Let t(h) be the third derivative of 0*h**3 + 1/120*h**5 - 1/72*h**4 - 1/720*h**6 + 0*h + 0 + 14*h**2. Let t(r) = 0. Calculate r.
0, 1, 2
Suppose -3*y + 13 = -2. Let x(b) be the first derivative of 1/3*b**2 - 7/18*b**6 + 5/12*b**4 + 0*b + 3 + 3/5*b**y - b**3. Let x(u) = 0. Calculate u.
-1, 0, 2/7, 1
Let s(u) be the first derivative of 4/25*u**5 + 0*u - 13 - 8/5*u**3 + 4/5*u**2 + 9/10*u**4 - 1/5*u**6. Find w, given that s(w) = 0.
-2, 0, 2/3, 1
Let v(n) be the third derivative of n**6/240 + n**5/40 - n**4/3 + n**3 - 71*n**2. Factor v(t).
(t - 2)*(t - 1)*(t + 6)/2
Let f(t) = -4*t - 4. Let j be f(-3). Suppose -4*l + 20 = 4*q, -3*l + 3*q - 11 = -5*l. Let -20*s - 3*s**3 - j*s**2 + s**3 - l + 10*s = 0. Calculate s.
-2, -1
Let j(a) = -7*a**2 - 12*a - 66. Let g(x) = 4*x**2 + 5*x + 34. Let f(h) = -5*g(h) - 3*j(h). Factor f(y).
(y + 4)*(y + 7)
Let u(n) = n**2 - 44*n + 448. Let s be u(28). Factor s*v**2 + 2/9*v**4 - 2/9*v**3 + 0*v + 0.
2*v**3*(v - 1)/9
Let u(m) be the third derivative of 3*m**6/40 - 17*m**5/20 + 3*m**4 - 69*m**2 + 2. Determine q, given that u(q) = 0.
0, 8/3, 3
Let d be (-42)/50*(-3035)/4249. Factor -d*b**2 - 3/5*b**3 - 9/5 + 3*b.
-3*(b - 1)**2*(b + 3)/5
Let u(l) be the first derivative of 6 - l**3 - 6*l - 9/2*l**2. Find s such that u(s) = 0.
-2, -1
Let p(g) be the second derivative of -g**6/195 + 3*g**5/130 + 2*g**4/39 - 4*g**3/13 - 21*g. Solve p(b) = 0.
-2, 0, 2, 3
Let 40/7*v + 64/7 + 4/7*v**2 = 0. Calculate v.
-8, -2
Let f(u) = u**3 + 7*u**2 + 3*u + 9. Let v be f(-6). Let a = 38 - 36. Suppose 8*z + v + 6*z**a - 3*z**2 + 10*z = 0. Calculate z.
-3
Let p(y) = -8*y**3 - 45*y**2 - 123*y - 77. Let b(k) = 15*k**3 + 90*k**2 + 245*k + 155. Let m(v) = -3*b(v) - 5*p(v). Find h, given that m(h) = 0.
-4, -1
Let b(w) be the first derivative of -w**2/2 - 6. Let p be b(-3). Let -h**3 - 4*h**3 + 2*h**2 + 4*h**5 - 2*h**4 - 3*h**5 + h**3 + p*h = 0. Calculate h.
-1, 0, 1, 3
Let h(b) be the first derivative of b**4/16 - b**3/2 + 5*b**2/8 + 342. Factor h(y).
y*(y - 5)*(y - 1)/4
Suppose -d + 2*c = 11, -132*c - 14 = -2*d - 134*c. Factor 3/2*i - 1/2*i**2 - d.
-(i - 2)*(i - 1)/2
Solve 0 + 1/3*h + 1/3*h**3 + 2/3*h**2 = 0 for h.
-1, 0
Suppose 0*y + 5*y + 21 = 2*j, 3*j - 18 = 3*y. Solve -517*n**j - 3*n**2 + 0 - 3 + 520*n**3 - 6 - 15*n = 0 for n.
-1, 3
Suppose 0*t + 3*r + 10 = 4*t, -3*r = 6. Let n be 6/(-12)*(-7 + t). Determine b so that -3*b**2 - n - 3 + 6 = 0.
0
Find c, given that -3*c**3 + 2 + 31/3*c + 16/3*c**2 = 0.
-1, -2/9, 3
Suppose 0 = 3*d + 172 - 190. Let j(z) be the third derivative of 0*z**3 - 13*z**2 - 1/126*z**4 + 1/1260*z**d + 0*z + 1/630*z**5 + 0. Factor j(i).
2*i*(i - 1)*(i + 2)/21
Let y(l) be the first derivative of 5*l**3/3 + 25*l**2/2 + 45*l + 8. Let w(i) = i**2 + 6*i + 11. Let g(u) = 25*w(u) - 6*y(u). Suppose g(v) = 0. What is v?
-1, 1
Let a(z) = 4*z**2 + 40*z - 41. Let b be a(-11). Factor -21/5*u**4 + 3/5*u**5 + 54/5*u**b + 0 + 24/5*u - 12*u**2.
3*u*(u - 2)**3*(u - 1)/5
Let k = -41950 - -41952. Factor 1/3*r**3 - 8/3 - 2*r**k + 4*r.
(r - 2)**3/3
Factor 3*h**2 - h**3 - 5/3*h + 0 - 1/3*h**4.
-h*(h - 1)**2*(h + 5)/3
Let y(w) be the second derivative of 0*w**2 - 1/27*w**3 + 1/270*w**6 + 0 - 1/36*w**4 + 0*w**5 + 11*w. Factor y(g).
g*(g - 2)*(g + 1)**2/9
Let j(c) = c**4 + c**2 + c - 2. Let l(f) = 16*f**4 + 12*f**3 + 20*f**2 + 12*f - 24. Let g(z) = 12*j(z) - l(z). Find v, given that g(v) = 0.
-2, -1, 0
Let m(d) = d + 8. Let v be m(-6). Suppose -t + 2*a + 10 = 0, 3*a = -7*t + v*t + 11. Factor 1/2*i**2 + 1/4*i + 0*i**3 - 1/4*i**5 + 0 - 1/2*i**t.
-i*(i - 1)*(i + 1)**3/4
Let c = -41 + 37. Let b(x) = 2*x**3 - 8*x**2 - 13*x. Let n(z) = -z**3 + 9*z**2 + 14*z. Let y(w) = c*b(w) - 3*n(w). Suppose y(g) = 0. What is g?
-1, 0, 2
Let m(p) be the second derivative of -p**4/4 + 28*p**3 - 1176*p**2 + 146*p. Factor m(n).
-3*(n - 28)**2
Suppose -4*c - 111 + 40 = -3*x, -3*c = -2*x + 49. Suppose -6*f = -x - 7. Solve 2*i**2 - 3*i**2 - 2*i**2 + 2*i**5 - 3*i**4 + f*i**2 = 0 for i.
-1/2, 0, 1
Let b(q) be the third derivative of -q**6/40 + 3*q**5/10 - 5*q**4/8 - 11*q**2 - q. Find j such that b(j) = 0.
0, 1, 5
Let b(j) be the first derivative of 0*j**2 + 5/6*j**4 + 0*j - 2/15*j**5 + 4/3*j**3 - 31. Let b(l) = 0. What is l?
-1, 0, 6
Let s = -393 + 787/2. Let i = 1/73 + 215/292. Factor s + 1/4*c**2 + i*c.
(c + 1)*(c + 2)/4
Let j be 1 + -2 + 14/12. Suppose -5 = -5*q + 10. Solve -j*b**q + 0 - 1/6*b + 1/3*b**2 = 0 for b.
0, 1
Let z(b) be the third derivative of -b**6/1080 - b**5/135 + b**4/216 + 2*b**3/27 - b**2 - 31*b. Factor z(p).
-(p - 1)*(p + 1)*(p + 4)/9
Let w = -1949 + 1951. Factor -8/3*u - 2/3*u**w - 8/3.
-2*(u + 2)**2/3
Let p = 28/37 - 2763/3700. Let q(h) be the second derivative of -1/60*h**4 + p*h**5 - 1/30*h**3 + 1/10*h**2 - 4*h + 0. Factor q(k).
(k - 1)**2*(k + 1)/5
Let o(i) be the first derivative of i**4/2 - 28*i**3/3 + 65*i**2 - 200*i - 85. Factor o(q).
2*(q - 5)**2*(q - 4)
Suppose -3*j = -4*m, 2*m + 19 = j + 7*m. Let k be (-4)/2 + j + 0. Factor -2/9*i**k - 4/9*i + 0.
-2*i*(i + 2)/9
Let i = -297 + 301. Find s such that 1/10*s**i + 3/10*s - 1/2*s**2 + 0 + 1/10*s**3 = 0.
-3, 0, 1
Suppose -236*n - 234*n + 502*n = 64. Determine w, given that 0 + 2/9*w**4 + 2/9*w + 2/3*w**3 + 2/3*w**n = 0.
-1, 0
Suppose 2*z + j = -4 - 6, 12 = -3*j. Let d be z/(-4) + (-1)/2. Factor 0*y**2 + 3/4*y - 1/2 - d*y**3.
-(y - 1)**2*(y + 2)/4
Let f(a) = 5*a**3 + 20*a**2 + 5*a - 18. Let u(q) = -10*q**3 - 40*q**2 - 10*q + 33. Let y(o) = -9*f(o) - 4*u(o). Factor y(m).
-5*(m - 1)*(m + 2)*(m + 3)
Let t(s) = s**3 + 3*s**2 - 19*s + 63. Let n be t(-7). Determine x so that 0*x + n + 2/13*x**3 + 6/13*x**2 - 2/13*x**5 - 6/13*x**4 = 0.
-3, -1, 0, 1
Let d(n) = -n**2 + 11*n - 8. Let p be d(1). Let f(c) be the third derivative of 0*c + 6*c**p + 5/2*c**3 - 1/12*c**5 + 0 - 5/12*c**4. Factor f(m).
-5*(m - 1)*(m + 3)
Let s(t) be the first derivative of 2/11*t - 1/33*t**6 + 4/33*t**3 - 1/11*t**4 - 6/55*t**5 - 8 + 3/11*t**2. Factor s(c).
-2*(c - 1)*(c + 1)**4/11
Factor -80/11*t + 32/11 + 10/11*t**3 + 50/11*t**2 - 10/11*t**4 - 2/11*t**5.
-2*(t - 1)**3*(t + 4)**2/11
Let o = 13925 + -13925. Find a such that 3/4*a**2 + 1/2*a + o + 1/4*a**3 = 0.
-2, -1, 0
Let c be ((-4)/3)/(8/(-240)). Suppose -15*o**3 - c - 630*o**2 + 474*o - 390*o**3 - 134*o = 0. What is o?
-2, 2/9
Let h = -4498 + 8999/2. Factor -6*p**2 + 9/2*p + 0 + h*p**3.
3*p*(p - 3)*(p - 1)/2
Let t(m) be the first derivative of m**5/10 - m**3/3 + 2*m - 9. Let s(i) be the first derivative of t(i). Factor s(v).
2*v*(v - 1)*(v + 1)
What is b in 112 - 20 - 20*b**2 + 36 + 27*b**3 - 4*b**2 - 23*b**3 = 0?
-2, 4
Let c(t) be the first derivative of -t**4/30 + 2*t**3/15 - t**2/5 - 9*t - 10. Let w(u) be the first derivative of c(u). What is f in w(f) = 0?
1
Find g, given that -11 + 12*g + 3*g**4 - 18*g**2 + g**3 + 35 - 4*g**3 + 0*g = 0.
-2, -1, 2
Let v(i) be the first derivative of -i**8/11760 - i**7/5880 + i**6/504 - i**5/280 - 13*i**3/3 + 5. Let k(d) be the third derivative of v(d). Factor k(x).
-x*(x - 1)**2*(x + 3)/7
Let g = -3165 - -3167. Factor -2/13*c**4 - 12/13*c**3 - 24/13*c - g*c**2 - 8/13.
-2*(c + 1)**2*(c + 2)**2/13
Factor -3/2*p**2 + 3/4*p**3 + 3/4*p**4 + 0 + 0*p.
3*p**2*(p - 1)*(p + 2)/4
Let g(r) be the second derivative of 0 - 5*r**2 - 3/2*r**3 - 42*r + 1/12*r**4. Let g(u) = 0. Calculate u.
-1, 10
Let s(m) be the third derivative of m**7/70 - 3*m**6/8 - 4*m**5/5 - 4*m**2 - 25. Find b, given that s(b) = 0.
-1, 0, 16
Let d(v) be the third derivative of -v**6/72 - v**5/3 - 5*v**4/2 + 23*v**3/6 - 2*v**2. Let b(m) be the first derivative of d(m). Factor b(a).
-5*(a + 2)*(a + 6)
Let d(v) be the first derivative of 21/10*v**2 - 6/25*v**5 + 3/10*v**4 + 6/5*v + 8/5*v**3 - 2 - 1/10*v**6. Factor d(j).
-3*(j - 2)*(j + 1)**4/5
Let t(n) be the first derivative of 39*n**5/5 + 45*n**4/4 + 2*n**3 + 148. Factor t(h).
3*h**2*(h + 1)*(13*h + 2)
Let g(w) = -w**4 - w**3 + w**2 - w - 1. Let c(j) = -10*j**4 + 30*j**3 - 80*j**2 + 80*j - 35. Let b(z) = c(z) - 5*g(z). Factor b(t).
-5*(t - 3)