.
-2, -1, 0, 1
Let l be (-1974)/(-155) - (-584)/9052. Factor 2/5*i**5 - 32/5*i**2 + 2*i**4 - 32/5 - l*i + 8/5*i**3.
2*(i - 2)*(i + 1)*(i + 2)**3/5
Let l(p) = 9*p**4 - 9*p**3 + 507*p**2 - 1177*p - 1600. Let q(a) = a**4 - a**3 + 63*a**2 - 147*a - 200. Let x(y) = 6*l(y) - 51*q(y). Solve x(f) = 0 for f.
-8, -1, 5
Let j(c) be the third derivative of -c**6/320 + 3*c**5/160 + c**4/16 - 3*c**3/4 + 23*c**2 - 7. Factor j(a).
-3*(a - 3)*(a - 2)*(a + 2)/8
Let g(i) be the third derivative of i**6/12 - 7*i**5/15 - 23*i**4/12 - 4*i**3/3 + 23*i**2 - 3*i. Factor g(h).
2*(h - 4)*(h + 1)*(5*h + 1)
Let y(p) be the second derivative of p**6/1980 - 2*p**3 - p. Let t(o) be the second derivative of y(o). Determine h, given that t(h) = 0.
0
Let l(q) be the second derivative of 0*q**2 + 0*q**5 - 1/360*q**6 + 1/3*q**3 + 1/24*q**4 + 0 + 4*q. Let m(a) be the second derivative of l(a). Solve m(j) = 0.
-1, 1
Let q(f) be the second derivative of -f**6/150 - 4*f**5/25 + 17*f**4/60 + 44*f + 5. Factor q(w).
-w**2*(w - 1)*(w + 17)/5
Let p(c) = -6*c**2 + 54*c - 43. Let j(d) = 3*d**2 - 27*d + 22. Let s(i) = 5*j(i) + 2*p(i). Factor s(o).
3*(o - 8)*(o - 1)
Suppose 11*j + 6299 = 6321. Find z, given that -6/5*z + 4/5 + 2/5*z**j = 0.
1, 2
Let u(y) = y**2 - 352*y + 359. Let g(d) = 5*d**2 - 2110*d + 2155. Let k(j) = 4*g(j) - 25*u(j). Find r such that k(r) = 0.
1, 71
Let n be (-4)/16 + (-363)/(-12). Factor -92 + n*b + 17 + 4*b**2 - 7*b**2.
-3*(b - 5)**2
Let u(h) be the third derivative of h**8/840 + h**7/210 - h**6/60 + 2*h**3/3 + 6*h**2. Let v(l) be the first derivative of u(l). Determine s so that v(s) = 0.
-3, 0, 1
Let v(x) = x**2 - 117*x + 3585. Let b(l) = -6*l**2 + 703*l - 21515. Let q(m) = 6*b(m) + 34*v(m). Solve q(c) = 0 for c.
60
Let v(b) = -b**3 - 6*b**2 + 8*b + 7. Let k be v(-7). Suppose -5*a + 13*a = k. Solve 0*s + 0 + 2/3*s**3 + a*s**2 = 0.
0
Let d be (-19 - -4) + 14 - (-2 + -2). Factor 7*a - 2*a**d - 10/3*a**2 + 1/3*a**5 + a**4 - 3.
(a - 1)**3*(a + 3)**2/3
Suppose -2*v + 6 = 0, 2*f = -2*f - v + 23. Let c(y) be the first derivative of -1/2*y + 5 - 5/8*y**2 + 1/24*y**6 + 1/4*y**4 - 1/6*y**3 + 1/5*y**f. Factor c(o).
(o - 1)*(o + 1)**3*(o + 2)/4
Let p(t) be the third derivative of 0 - 1/120*t**6 + t**2 + 1/18*t**4 + 0*t**3 + 0*t + 1/1008*t**8 + 1/45*t**5 - 1/315*t**7. Factor p(g).
g*(g - 2)**2*(g + 1)**2/3
Let s be 33/(-55)*(-90)/81. Factor 0*h + 0 - 2/3*h**2 - s*h**3.
-2*h**2*(h + 1)/3
Let y(v) be the first derivative of 2*v**3/51 - 98*v**2/17 - 198*v/17 + 371. Solve y(r) = 0 for r.
-1, 99
Suppose -4*c - 46 = -62. Let k(o) be the first derivative of -2*o - 11/2*o**2 + 3 - 7/4*o**c - 16/3*o**3. Factor k(l).
-(l + 1)**2*(7*l + 2)
Determine o so that 32/5 - 14/5*o**2 - 4*o + 2/5*o**3 = 0.
-2, 1, 8
Let n(c) be the third derivative of c**5/75 + 12*c**4/5 + 864*c**3/5 + c**2. Let n(t) = 0. What is t?
-36
Let w(l) = 8*l + 23. Let f be w(-3). Let o(c) = c**3 + c**2 - c + 1. Let n(h) = 9*h**3 + 13*h**2 - 33*h + 21. Let y(g) = f*n(g) + 5*o(g). Solve y(t) = 0 for t.
-4, 1
Suppose 2/3*a**5 + 0*a + 0*a**2 + 8/3*a**4 + 0*a**3 + 0 = 0. Calculate a.
-4, 0
Let o(x) be the first derivative of -x**6/24 - x**5/10 + 78. Factor o(u).
-u**4*(u + 2)/4
Let m(v) = 142*v + 1422. Let w be m(-10). Let 64/9*l + 4/9*l**w + 256/9 = 0. What is l?
-8
Let j = 951 - 951. Let h(k) be the third derivative of 1/30*k**4 - 4/15*k**3 + 1/75*k**5 + j*k + 0 + 8*k**2. Factor h(l).
4*(l - 1)*(l + 2)/5
Let g(p) = -9*p**3 + 39*p**2 - 120*p - 186. Let c(r) = r**3 + r**2 - 4*r - 1. Let v(u) = -6*c(u) - g(u). Factor v(l).
3*(l - 8)**2*(l + 1)
Suppose 4*x - 12 - 11 = -3*l, 4*l - 28 = -4*x. Suppose 0 = 18*w - l*w. Suppose 3*f**2 + 0*f + 75/4*f**4 + 15*f**3 + w = 0. What is f?
-2/5, 0
Let m(u) = -2*u**3 + 119*u**2 - 528*u + 726. Let k(o) = 25*o**3 - 1425*o**2 + 6335*o - 8710. Let s(p) = 3*k(p) + 35*m(p). What is x in s(x) = 0?
3, 16
Let o(g) = 2*g**3 + 17*g**2 - 2*g - 1. Let y(n) = -n**3 - n**2 - 2*n - 1. Let m(a) = -o(a) + y(a). Factor m(j).
-3*j**2*(j + 6)
Let w be (6/4)/((-1)/(7 - 148/20)). Factor 6/5*o**2 - 6/5 - w*o**3 + 3/5*o.
-3*(o - 2)*(o - 1)*(o + 1)/5
Let z(b) be the first derivative of -b**3/2 - 45*b**2/4 - 21*b - 179. Let z(u) = 0. Calculate u.
-14, -1
Let n(t) be the third derivative of t**6/600 - t**5/300 - t**4/30 + 2*t**3/15 + t**2 + 44*t. Find g, given that n(g) = 0.
-2, 1, 2
Let f(b) = b**2 + b. Let n(s) = -2*s**2 - 3*s. Let r(i) = 15*f(i) + 6*n(i). Factor r(q).
3*q*(q - 1)
Suppose 5*g = -4*m + 19, 5*g - 4*m = 11 - 0. Factor -4/3*q**g + 5/6*q + 1/3*q**2 + 1/6.
-(q - 1)*(2*q + 1)*(4*q + 1)/6
Suppose 5*y + 1 = 3*k + k, 0 = -3*y - 4*k + 25. Let o be (-72)/54 - (-16)/y. Find u, given that 0 + 3/2*u**3 + 0*u**o + 0*u - 3/2*u**5 + 0*u**2 = 0.
-1, 0, 1
Let h be (0/2)/(124/18 + 128/1152). What is b in -1/5*b + 1/5*b**2 + h = 0?
0, 1
Let h be (26/(-39))/(1/(-9)). Factor 77*c**2 + 5*c**4 - h*c**3 - 75*c**2 - c**4.
2*c**2*(c - 1)*(2*c - 1)
Factor -178/13 + 2/13*x**2 - 176/13*x.
2*(x - 89)*(x + 1)/13
Let t(u) be the third derivative of -u**6/80 + u**5/4 - 9*u**4/16 + 4*u**2 - 6*u. Factor t(m).
-3*m*(m - 9)*(m - 1)/2
Let p(y) be the first derivative of y**4/2 + 14*y**3/3 - 5*y**2 - 150*y + 47. Determine q so that p(q) = 0.
-5, 3
Solve -96/5 - 4/5*v**4 - 16*v + 4*v**3 + 8*v**2 = 0.
-2, -1, 2, 6
Let y(n) be the third derivative of -n**6/300 - 3*n**5/50 - n**4/3 - 4*n**3/5 + 674*n**2. Find j such that y(j) = 0.
-6, -2, -1
Suppose -3*k - 2*m + 18 = m, 3*k + 5*m - 20 = 0. Determine w so that 52*w**4 + 106*w**2 + 197*w**3 - 400 - 160*w + 4*w**k + 68*w**2 + 23*w**3 + 110*w**2 = 0.
-5, -2, 1
Suppose 0 = -128*z + 40*z. Let 1/5*a**2 + z + 3/5*a = 0. Calculate a.
-3, 0
Let r(a) = 4*a**3 + 16*a**2 - 2*a + 3. Let c(m) = -m**3 - 5*m**2 + m - 1. Let o(w) = -14*c(w) - 4*r(w). Factor o(f).
-2*(f - 1)**3
Let h(n) be the second derivative of 2/49*n**7 + 3/35*n**5 + 2/21*n**4 + 0*n**3 + 0*n**2 - 16/105*n**6 + 0 - 12*n. Suppose h(w) = 0. Calculate w.
-1/3, 0, 1, 2
Let b(f) = 5*f - 10. Let n be b(3). Factor 16*v - 18*v**3 + 9 - 3*v**5 + n*v - 47*v**4 + 6*v**2 + 32*v**4.
-3*(v - 1)*(v + 1)**3*(v + 3)
Let q(l) be the second derivative of -l**6/30 - l**5/12 + 13*l**4/36 + l**3/18 - l**2 - 38*l. What is v in q(v) = 0?
-3, -2/3, 1
Let i be 66/11 + (-5 - (-2 - 2)). Factor -2/7*h + 8/7*h**2 - 12/7*h**3 + 0 + 8/7*h**4 - 2/7*h**i.
-2*h*(h - 1)**4/7
Let y(d) = -d - 4. Let g be y(-14). Suppose g*o = 13*o - 12. Factor 6*r**o - 3*r**3 + 3*r**5 + 0*r**4 - 2*r**2 + 0*r**2 - 4*r**2.
3*r**2*(r - 1)*(r + 1)*(r + 2)
Let x(m) = -16*m**2 + 323*m - 58. Let t be x(20). Factor 2/3 + 5/6*d**t + 4/3*d + 1/6*d**3.
(d + 1)*(d + 2)**2/6
Suppose 0 = -5*c - 4*d + 2*d - 21, c + 3*d + 12 = 0. Let o be 12/(-16) + -2 - c. Factor -o*h - 1/4*h**2 + 0.
-h*(h + 1)/4
Let m(g) be the second derivative of 0*g**4 - 14*g + 0*g**6 + 1/10*g**5 + 0 - 1/42*g**7 + 0*g**2 - 1/6*g**3. Factor m(w).
-w*(w - 1)**2*(w + 1)**2
Let o be (-2 - 131)*((-44)/14 - -4). Let d = o + 800/7. Determine c so that 0*c + 2/7*c**2 - d = 0.
-1, 1
Let h(y) = 6*y**2 + 3*y + 2. Let k be h(2). Suppose -10*f + 2*f + k = 0. Suppose 0*l - 2/11*l**3 + 0 + 2/11*l**5 - 2/11*l**2 + 2/11*l**f = 0. Calculate l.
-1, 0, 1
Let j(z) = -z**3 + 7*z**2 - 4*z - 5. Let y be j(6). Suppose -13*u = -y*u. Solve u*v + 0 - 3/5*v**2 + 0*v**3 + 3/5*v**4 = 0.
-1, 0, 1
Find z such that 50*z**4 - 5*z + 297*z**2 - 83*z**5 - 77*z**2 + 88*z**5 + 105*z + 165*z**3 = 0.
-5, -2, -1, 0
Let q(k) = -k**5 - k**4 - k**3. Let v(z) = 8*z**5 + 3*z**4 - 7*z**3 + 5*z. Let h(t) = 3*q(t) + v(t). Factor h(d).
5*d*(d - 1)**2*(d + 1)**2
Let u(y) = -5*y**2 - 5*y - 7. Let k(d) = -2*d**2 - 2*d - 2. Let r = 33 - 50. Let h(w) = r*k(w) + 6*u(w). Factor h(p).
4*(p - 1)*(p + 2)
Let q(h) be the first derivative of -5*h**3/3 + 20*h**2 - 35*h - 51. Factor q(b).
-5*(b - 7)*(b - 1)
Suppose 0 - 1/6*m**2 - 2/3*m = 0. What is m?
-4, 0
Let p(h) = h**3 + 27*h**2 + 85*h + 37. Let w(z) = z - 1. Let n(t) = 2*p(t) - 22*w(t). Factor n(i).
2*(i + 1)*(i + 2)*(i + 24)
Factor -48/5*w**2 + 6/5*w**3 + 0 + 18*w.
6*w*(w - 5)*(w - 3)/5
Let w(f) be the third derivative of 1/2856*f**8 + 0 + 0*f**3 + 0*f + 1/1020*f**6 + 0*f**5 + 0*f**4 + 3*f**2 - 2/1785*f**7. Solve w(s) = 0.
0, 1
Suppose -4*t + 6*i - i = 20, t + 5*i = 20. Suppose 0 = -r + 4*g + 16, 3*g + 246 - 234 = 0. Solve t - 1/6*f**2 - 1/6*f**4 - 1