a**2 + a. Let w be n(1). Determine g so that 42 - 2*g**w - 7*g - 34 + g = 0.
-4, 1
Suppose -110*k + 112*k = 3*j - 28, -j + 9*k + 76 = 0. Factor -g**2 + 1/2*g**5 + 4*g**3 + 3*g**j - 2 - 9/2*g.
(g - 1)*(g + 1)**3*(g + 4)/2
Let y(a) be the first derivative of -a**4/2 - 8*a**3 + 31*a**2 + 84*a - 408. Factor y(w).
-2*(w - 3)*(w + 1)*(w + 14)
Let t be -4 + -66*(-6)/90. Let u(d) be the second derivative of 3*d + t*d**2 + 1/5*d**3 + 0 + 1/30*d**4. Factor u(k).
2*(k + 1)*(k + 2)/5
Suppose 5*s + 7 = -2*k, -4*k + 3*s = -2*k - 17. Let t(b) be the first derivative of 2 + 2/25*b**5 - 2/15*b**3 + 0*b + 1/10*b**k - 1/5*b**2. Factor t(i).
2*i*(i - 1)*(i + 1)**2/5
Suppose -2/15*i**2 + 0 - 32/15*i = 0. Calculate i.
-16, 0
Factor 124/9 + 34*f - 10/9*f**2.
-2*(f - 31)*(5*f + 2)/9
Suppose 3*m + 11*f = 9*f + 24, 104 = 13*m - 4*f. Factor -56 - m*d - 2/7*d**2.
-2*(d + 14)**2/7
Let r be (36/162)/((-4)/3 - -2). Let y(w) be the first derivative of -1/3*w**2 + 4 + r*w**4 + 0*w**3 - 1/9*w**6 + 0*w + 0*w**5. Find j such that y(j) = 0.
-1, 0, 1
Let y(s) be the first derivative of s**5/5 + 23*s**4/4 - 8*s**3 + 500. Factor y(k).
k**2*(k - 1)*(k + 24)
Let d(n) = 2*n**4 + 26*n**3 + 52*n**2 + 16*n - 6. Let q(z) = -5*z**4 - 77*z**3 - 156*z**2 - 50*z + 17. Let w(h) = 17*d(h) + 6*q(h). Factor w(i).
4*i*(i - 7)*(i + 1)**2
Let l(t) = 90*t**3 - 5400*t**2 - 14*t - 42. Let j(x) = -19*x**3 + 1080*x**2 + 3*x + 9. Let o(s) = 14*j(s) + 3*l(s). Solve o(q) = 0 for q.
0, 270
Suppose -2/17*i + 2/17*i**2 + 0 = 0. Calculate i.
0, 1
Let j be 22/(-60)*(-2448)/6732. Solve -j*z**2 - 4/15*z - 2/15 = 0 for z.
-1
Let z(c) be the first derivative of 9 + 3/4*c - 3/4*c**2 + 1/4*c**3. Solve z(p) = 0.
1
Factor 4*i**2 - 2/5*i**3 - 10*i + 0.
-2*i*(i - 5)**2/5
Let t be ((-42)/(-14) - 2)/(1/2). Suppose m - i - 5 = 0, m - 5*i - 17 = -2*m. Determine q so that 0*q**t + 0*q - 2/3*q**m + 2/3*q**3 + 0 = 0.
0, 1
Let q(h) = -3*h**2 + 9*h + 2. Let f(z) = z**2 - z. Let d(r) = 5*f(r) + q(r). Let v be d(-2). Factor -18*g + 16 - 4*g**v - 6*g**3 + 74*g - 8*g**3.
-2*(g - 2)*(g + 2)*(7*g + 2)
Let j(r) be the second derivative of 0*r**3 - 1/21*r**7 + 0 - 1/10*r**5 - 2/15*r**6 + 11*r + 0*r**4 + 0*r**2. Factor j(h).
-2*h**3*(h + 1)**2
Factor 3347*a + 25*a**3 - 20*a**4 - 10*a**2 + 5*a**5 - 3347*a.
5*a**2*(a - 2)*(a - 1)**2
Let k(a) = -2*a**3 + 5*a**2 - a + 4. Let l be k(2). Suppose l*b - 14 = -b. Suppose 0*t**b - 3*t**4 + 0 - 13/2*t**3 + 2*t = 0. What is t?
-2, -2/3, 0, 1/2
Let n(t) be the first derivative of -2*t**3/21 + 3*t**2/7 - 4*t/7 - 66. Factor n(q).
-2*(q - 2)*(q - 1)/7
Let n(u) be the first derivative of -2*u**5/5 - 3*u**4 - 26*u**3/3 - 12*u**2 - 8*u + 90. Suppose n(q) = 0. What is q?
-2, -1
Find f, given that -5*f**3 + 10*f**4 - 5*f**3 - 17*f**4 + 5*f**4 = 0.
-5, 0
Let t(w) = 5*w - 23. Let a be t(5). Let v(h) be the first derivative of 10/33*h**3 - 2/11*h + 4 - 4/11*h**a. Determine g, given that v(g) = 0.
-1/5, 1
Let r(j) be the third derivative of 0*j - 4/3*j**3 - 1/60*j**6 + 0 - 3/4*j**4 - 1/5*j**5 + 14*j**2. Factor r(f).
-2*(f + 1)**2*(f + 4)
Let a(w) be the second derivative of 0*w**5 - 1/3*w**6 - 5/6*w**3 + 0*w**2 - 15*w + 0 + 5/6*w**4 + 5/42*w**7. Solve a(f) = 0.
-1, 0, 1
Let h(f) be the third derivative of f**9/52920 + f**8/3920 + f**7/1764 + 3*f**4/8 - 19*f**2. Let j(n) be the second derivative of h(n). Factor j(o).
2*o**2*(o + 1)*(o + 5)/7
Let m(y) be the second derivative of -y**6/45 - 7*y**5/60 + 5*y**4/18 + 11*y**3/6 - 3*y**2 - 4*y + 11. Suppose m(d) = 0. Calculate d.
-3, 1/2, 2
Let c(g) be the second derivative of 0*g**2 + 0 - 1/4*g**4 + 0*g**3 + 2*g + 1/28*g**7 + 1/10*g**6 - 3/40*g**5. Solve c(u) = 0.
-2, -1, 0, 1
Let l(w) be the second derivative of -w**6/330 + 4*w**5/55 - 47*w**4/66 + 40*w**3/11 - 225*w**2/22 + 85*w. Suppose l(n) = 0. Calculate n.
3, 5
Let r(s) be the first derivative of -s**6/10 - 99*s**5/25 - 177*s**4/20 + 97*s**3/5 + 36*s**2 - 372*s/5 - 529. Determine g so that r(g) = 0.
-31, -2, 1
Suppose -108*y + 15*y = 0. Factor -4/5 + y*v + 57/5*v**2 + 28/5*v**3.
(v + 2)*(4*v - 1)*(7*v + 2)/5
Let g(m) = -m**3 + 2*m**2 + 33*m - 64. Let r be g(2). Let 1/2*h**2 + 2 + r*h = 0. Calculate h.
-2
Let m(r) = 8*r**3 + 24*r**2 - 4*r - 92. Let u(t) = t**3 + t**2 + t + 1. Let y(f) = -m(f) + 4*u(f). Factor y(p).
-4*(p - 2)*(p + 3)*(p + 4)
Let r(m) be the third derivative of m**8/1512 + m**7/945 - m**6/270 + 15*m**2 - 3*m. Factor r(y).
2*y**3*(y - 1)*(y + 2)/9
Let m = -89 + 93. Factor -3*y - 10*y**3 + 87*y**4 - 81*y**m + 3*y + 4*y**2.
2*y**2*(y - 1)*(3*y - 2)
Let k(s) = 12*s**2 - 110*s + 790. Let w(c) = c**2 - 3*c - 1. Let q(y) = -k(y) + 10*w(y). Find n such that q(n) = 0.
20
Let o(j) be the third derivative of 0 - 18*j**2 - 1/42*j**4 + 0*j + 1/21*j**3 + 1/210*j**5. Factor o(z).
2*(z - 1)**2/7
Let z = 158 - 63. Let t(w) = -z*w**2 + 97*w**2 - 2*w - 2*w. Let n(l) = -1. Let h(d) = -2*n(d) + t(d). Factor h(v).
2*(v - 1)**2
Let f(c) be the third derivative of c**8/5040 + c**7/420 + c**6/90 - 3*c**5/20 - 12*c**2. Let t(r) be the third derivative of f(r). Find n, given that t(n) = 0.
-2, -1
Let a(q) = q**3 + q. Let o = -41 - -45. Let s(y) = 2*y**4 + 4*y**3 - 36*y - 32. Let i(l) = o*a(l) + s(l). What is p in i(p) = 0?
-2, 2
Let q(s) be the third derivative of 0 + 0*s + 5/48*s**4 - 30*s**2 + 1/120*s**5 - 1/2*s**3. Let q(z) = 0. Calculate z.
-6, 1
Let b = 17313/5 + -3514. Let w = b + 52. Factor w - 3/5*d**2 + 1/5*d**3 - 1/5*d.
(d - 3)*(d - 1)*(d + 1)/5
Let t(s) be the second derivative of -49*s**5/50 - 7*s**4/6 - 2*s**3/5 + 50*s. Factor t(o).
-2*o*(7*o + 2)*(7*o + 3)/5
Determine i, given that -6*i**3 + i**3 - 85*i - 368*i**2 - 418*i**2 - 140 + 0*i**3 + 836*i**2 = 0.
-1, 4, 7
Suppose 22*p - 1799 = 15*p. Factor 2*b + 2*b + 263*b**2 + 2*b**3 - p*b**2.
2*b*(b + 1)*(b + 2)
Let p(h) = -h + 7. Let m(i) = -22*i**2 + 16*i + 36. Let t(x) = 2*m(x) - 10*p(x). Factor t(z).
-2*(z - 1)*(22*z + 1)
Factor 0 - 1/8*m**3 + 5/8*m**2 + 3/4*m.
-m*(m - 6)*(m + 1)/8
Let d(y) = 18*y**3 - y**2 - y - 1. Let m be d(-1). Let z = 22 + m. Factor 0*h + z*h**4 + 15/7*h**5 + 0 + 0*h**2 + 6/7*h**3.
3*h**3*(h + 1)*(5*h + 2)/7
Let v(h) be the second derivative of -h**7/5880 - h**6/630 - h**5/168 - h**4/84 + 8*h**3/3 + 7*h. Let p(c) be the second derivative of v(c). Factor p(g).
-(g + 1)**2*(g + 2)/7
Find c, given that 16/11 + 450/11*c**4 + 1230/11*c**3 + 548/11*c**2 - 216/11*c = 0.
-2, -1, 2/15
Let c(t) be the second derivative of -35/6*t**3 - 25/2*t**2 - 1/20*t**5 + 0 + 16*t - 11/12*t**4. Find y such that c(y) = 0.
-5, -1
Factor 12*w**2 + 20*w**3 + 4*w**3 + 32*w**4 - 23*w**4.
3*w**2*(w + 2)*(3*w + 2)
Let b(p) be the first derivative of -p**4/4 + p - 19. Let o(w) = w**4 + 7*w**3 + 9*w**2 + 7*w. Let z(m) = 2*b(m) + o(m). Factor z(f).
(f + 1)**3*(f + 2)
Let j(x) be the first derivative of -x**3/30 + 3*x**2/5 + 13*x/10 + 223. What is q in j(q) = 0?
-1, 13
Let o(y) = -81*y + 1625. Let m be o(20). Factor 5/2*u**5 - m*u**3 + 0 + 5/2*u + 0*u**4 + 0*u**2.
5*u*(u - 1)**2*(u + 1)**2/2
Let g(c) be the third derivative of c**7/1170 + c**6/312 + c**5/195 + 19*c**4/24 - 10*c**2. Let o(h) be the second derivative of g(h). Factor o(w).
2*(2*w + 1)*(7*w + 4)/13
Suppose 0 - 2*b**2 + 1/2*b**3 + 0*b = 0. Calculate b.
0, 4
Let i be 54/(-45)*(-7 + (-678)/(-99)). Let -i*y**2 + 6/11*y - 4/11 = 0. Calculate y.
1, 2
Let u(i) be the first derivative of -2/5*i**5 + 0*i - 10/3*i**3 + 2*i**2 + 2*i**4 + 1. Factor u(c).
-2*c*(c - 2)*(c - 1)**2
Factor 0*i + 3/4*i**3 - 1/2*i**2 + 0 - 1/4*i**4.
-i**2*(i - 2)*(i - 1)/4
Let c(p) be the first derivative of -16 - 2/17*p**2 + 0*p + 1/34*p**4 - 2/51*p**3. Find h, given that c(h) = 0.
-1, 0, 2
Let w = 9 - -646. Determine m, given that 2*m**3 - 655*m**2 + w*m**2 - m - m**5 = 0.
-1, 0, 1
Let r(n) = -35*n**2 + 174*n + 7. Let q be r(5). Find b, given that 0 + 1/8*b**q + 1/4*b = 0.
-2, 0
Let o(v) be the second derivative of 2*v**7/21 - 2*v**6/5 - 18*v**5/5 - 4*v**4/3 + 16*v**3 + v - 179. Factor o(b).
4*b*(b - 6)*(b - 1)*(b + 2)**2
Let r(f) = -17*f**4 + 9*f**3 + 16*f**2 - 60*f + 40. Let j(o) = 15*o**4 - 10*o**3 - 15*o**2 + 60*o - 40. Let x(t) = -6*j(t) - 5*r(t). Factor x(y).
-5*(y - 2)**2*(y - 1)*(y + 2)
Factor -392*n + 25*n**2 + 0*n**2 - 21*n**2 + 388.
4*(n - 97)*(n - 1)
Let j(y) be the second derivative of -y**6/80 + 3*y**5/80 + y**4/4 - 9*y**3/8 + 27*